In the given case equation P(A|B) = 0.6 means that the probability of choosing blue marble after red removed in 0.6
Let the event where the second marble chosen is blue be = B
Therefore, the Probability P(B|A) =0.6
Bayes' Theorem states that the likelihood of the second event given the first event multiplied by the probability of the first event equals the conditional probability of an event dependent on the occurrence of another event.
In the given case,
P(A|B) = probability of occurrence of A given B has already occurred.
P(B|A) = probability of occurrence of B given A has already occurred.
Therefore,
P(A|B) = P(B|A) P(A)/ P(B)
The likelihood of selecting a blue marble after removing a red stone is 0.6, which is how the probability P(B|A)=0.6 is defined.
Complete question:
John has a bag of red and blue marbles. John chooses 2 marbles without replacing the first. Let A be the event where the first marble chosen is red. Let B be the event where the second marble chosen is blue. What does equation P(A|B) = 0.6 mean ?
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whats the answer to 12ab x 3cd
If P = (-2,3), Find:
Rx=2 (P)
([?],
The reflectyed point Rx is given as 6 , 3
How to solve for the Reflected point RxThe distance would have to be solved for first
This is the distance between the point P and the vertical line x = 2.
The distance d = |(-2) - 2|
= |-4|
= 4
Next we have to take the point P o the other side of the line x = 2 this is the point that has the same distance
We will solve for the new coordinate
2 + 4
= 6
Hence the reflectyed point Rx is given as 6 , 3
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You invest $2,000 for 3 years at interest rate 6%, compounded every 6 months. What is the value of your investment at the end of the period?
If you invest $2,000 for 3 years at an interest rate of 6%, compounded every 6 months. The value of your investment at the end of the period is $2,397.39.
The interest rate is 6% and it is compounded every 6 months, so the period is 6 months. To calculate the value of the investment at the end of the period, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the final amount.
P = the principal amount (initial investment)
r = the annual interest rate (6%).
n = the number of times the interest is compounded per year (2, since it's compounded every 6 months).
t = the time period in years (3)
Plugging in the numbers, we get:
A = 2,000(1 + 0.06/2)^(2*3)
A = 2,000(1 + 0.03)^6
A = 2,000(1.03)^6
A = $2,397.39
Therefore, the value of your investment at the end of the period is $2,397.39.
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the table shows information about masses of some dogs work at the minimum and maximum auto dogs that have a more 27kg
The minimum number of dogs that have more than 27 kg is 4, and the maximum number of dogs that have more than 27 kg is 26.
We have,
To determine the minimum and maximum number of dogs that have more than 27 kg, we need to first find the cumulative frequency for the mass data.
Mass(x) frequency Cumulative frequency
0 ≤ x ≤10 3 3
10 ≤ x ≤20 9 12
20 ≤ x ≤ 30 13 25
30 ≤ x ≤ 40 4 29
Now, we can see that there are a total of 29 dogs.
To find the minimum and maximum number of dogs that have more than 27 kg, we can use the cumulative frequency table as follows:
The minimum number of dogs that have more than 27 kg is the frequency of dogs in the 30 ≤ x ≤ 40 category, which is 4.
The maximum number of dogs that have more than 27 kg is the total number of dogs minus the cumulative frequency for the 0 ≤ x ≤ 27 category, which is 3.
Now,
The maximum number of dogs that have more than 27 kg is:
29 - 3 = 26.
Thus,
The minimum number of dogs that have more than 27 kg is 4, and the maximum number of dogs that have more than 27 kg is 26.
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Please help for question 9
a) The linear function giving the cost after x months is given as follows: C(x) = 88 - 8x.
b) The cost of the shoes after 8 months is given as follows: $24.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.Each month, the balance decays by $8.00, hence the slope m is given as follows:
m = -8.
Hence:
y = -8x + b.
When x = 1, y = 80, hence the intercept b is given as follows:
80 = -8 + b
b = 88.
Hence the function is:
C(x) = 88 - 8x.
The cost after 8 months is given as follows:
C(8) = 88 - 8(8) = 88 - 64 = $24.
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There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..
Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11
Compare the theoretical probability and experimental probability of pulling a brown marble from the bag.
The theoretical probability, P(brown), is 50%, and the experimental probability is 25%.
The theoretical probability, P(brown), is 50%, and the experimental probability is 22.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 13.0%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
Answer:A."The theoretical probability, P(gold), is 25%
explanation:It's realy simple
solve this problem and I will give u brainlist!
Answer:
32.16 degrees
Step-by-step explanation:
The angle of depression in these problems is always the same as the angle of elevation.
With that in mind, lets solve this problem.
So we are given 2 triangle lengths. The Hypotenuse is 898 ft, and the height of your triangle is 478 ft.
There are three trig functions, sine, cosine, and tangent, but we will be using sin for this triangle because he have the opposite side to the angle(see how the side labeled 478 ft is opposite to the angle of elevation?) and the hypotenuse.
Sin is defined as opposite/hypotenuse.
Now, we make our equation:
sin(478/898) = x
x is your answer, just plug it into a calculator.
You get 32.16 degrees
One way to measure a person’s fitness is to measure their body fat percentage. Average body fat percentages vary by age, but according to some guidelines, the normal range for men is 15-20% body fat, and the normal range for women is 20-25% body fat.
The body fat of 25 gym goers was measured by a trainer and the Mean and standard deviation for each group is summarized in table below.
Group Sample Size (n) Average (X-bar) Standard deviation (s)
Women 10 22.29 5.32
Men 15 14.95 6.84
A) What should the Null hypothesis say about the mean body fat percentage of women compared to the mean body fat percentage of males? B) What should the Alternative hypothesis say about the mean body fat percentage of women compared to the mean body fat percentage of males? C) Is the p-value for your test less than 0.05? "yes" or "no" D) At the 0.05 significance level, is there enough evidence to conclude that the mean body fat percentage for women is more than 3% greater than men? "yes" or "no" E) At the 0.01 significance level, is there enough evidence to conclude that the mean body fat percentage for women is more than 3% greater than men? "yes" or "no" F) Does the 95% confidence interval support the alternative hypothesis? "yes" or "no" G) Why or Why not does the 95% confidence interval support the alternative hypothesis?
A) The null hypothesis should say that the mean body fat percentage of women is equal to the mean body fat percentage of men.
B) The alternative hypothesis should say that the mean body fat percentage of women is greater than the mean body fat percentage of men.
C) The p-value for the test cannot be determined without knowing the results of the actual test.
D) Yes, there is enough evidence to conclude that the mean body fat percentage for women is more than 3% greater than men at the 0.05 significance level, because the difference between the means is 7.34% (22.29% - 14.95%) which is greater than 3%.
E) No, there is not enough evidence to conclude that the mean body fat percentage for women is more than 3% greater than men at the 0.01 significance level, because the difference between the means is not significant enough to reject the null hypothesis.
F) Yes, the 95% confidence interval supports the alternative hypothesis because it does not include the null value of 0. The confidence interval for the difference between the means is (1.63%, 12.05%).
G) The 95% confidence interval supports the alternative hypothesis because it provides a range of plausible values for the difference between the means that do not include 0. This means that we can be 95% confident that the true difference between the means is somewhere within the interval, and that the mean body fat percentage for women is likely to be higher than men.
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Given the circle with center at S and the points of tangency P and R.
Q
14x-13
P
The value of x is (Select)
The length of PQ is (Select)
so
8x + 5
R
Answer:
a
Step-by-step explanation:
The Fourier transform of the function: f(t) = sin 3t,k≤|t|≤2k 0, |t|
a.-i[(sin2k(w-3)-sink(w-3)/w-3 )-(sin2k(w+3)-sink(w+3)/w-3)]
b.-1/2[(sin2k(w-3)-sink(w-3)/w-3 )-(sin2k(w+3)-sink(w+3)/w-3)]
c.i[(sin2k(w-3)-sink(w-3)/w-3 )-(sin2k(w+3)-sink(w+3)/w-3)]
d.none of the above
Its Fourier transform is also 0.
The Fourier transform of a function f(t) is defined as:
F(w) = (1/√(2π)) ∫[from -∞ to +∞] f(t) e^(-iwt) dt
Let's find the Fourier transform of the given function f(t) = sin 3t, k≤|t|≤2k and 0, |t|>2k.
For k≤|t|≤2k, we can write:
f(t) = sin 3t
= (1/2i) (e^(i3t) - e^(-i3t))
Using the Fourier transform properties, we can write:
F(w) = (1/2i) [∫[from -2k to -k] e^(i3t) e^(-iwt) dt + ∫[from k to 2k] e^(i3t) e^(-iwt) dt]
Applying the integral formula ∫ e^(ax) dx = (1/a) e^(ax) + C, we get:
F(w) = (1/2i) [(1/i(3-w))(e^(i(3-w)2k) - e^(i(3-w)k)) + (1/i(3+w))(e^(i(3+w)k) - e^(i(3+w)2k))]
Simplifying the above expression, we get:
F(w) = (1/2) [(sin(2kw-3) - sin(kw-3))/(kw-3) + (sin(kw+3) - sin(2kw+3))/(kw+3)]
For |t|>2k, f(t) = 0. Thus, its Fourier transform is also 0.
Therefore, the correct option is d. none of the above.
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Find the area of each triangle. Round answers to the nearest tenth.
7)
8)
9)
3.2 mi
8.7 yd
12 yd
square yards
6 mi
square miles
10)
4.1 ft
9.4 in
8.3 ft
square feet
6.8 in
square inches
7. The area of the triangle is 52.2 yd².
8. The area of the triangle is 17.02 ft².
9. The area of the triangle is 9.6 mi².
10. The area of the triangle is 31.96 in².
What is the area of each of the triangle?
The area of each triangle is calculated by applying the following formula as shown below;
Area = ¹/₂bh
where;
b is the base of the triangleh is the height of the triangle7. The area of the triangle is calculated as
A = ¹/₂ x 12 yd x 8.7 yd
A = 52.2 yd²
8. The area of the triangle is calculated as
A = ¹/₂ x 8.3 ft x 4.1 ft
A = 17.02 ft²
9. The area of the triangle is calculated as
A = ¹/₂ x 6 mi x 3.2 mi
A = 9.6 mi²
10. The area of the triangle is calculated as
A = ¹/₂ x 9.4 in x 6.8 in
A = 31.96 in²
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15 pts A store sells a product that has the annual demand of 10,054 units. It purchases the product from supplier A for $83.4 per unit. The unit inventory carrying cost per year is 18 percent of the unit purchase cost. The cost to place and process an order from the supplier is $69 per order. Supplier A has a delivery lead time of 14 days. The store operates 300 days a year. Assume EOQ model is appropriate. If the manufacturer uses an order quantity of 1,146 units per order, what is the length of the inventory cycle in days for the store? Use at least 4 decimal places,
The length of the inventory cycle in days for the store when using an order quantity of 1,146 units per order is approximately 34.2216 days. To answer your question about the length of the inventory cycle in days for the store using an EOQ model and an order quantity of 1,146 units per order, we'll follow these steps:
Step:1. Calculate the EOQ (Economic Order Quantity) using the given information:
EOQ = √(2DS / H), where D is the annual demand, S is the ordering cost per order, and H is the holding cost per unit per year.
D = 10,054 units per year
S = $69 per order
H = 18% of the unit purchase cost ($83.4) = 0.18 * $83.4 = $15.012 per unit per year
EOQ = √(2 * 10,054 * 69 / 15.012) ≈ 1,146 units (the provided order quantity)
Step:2. Calculate the number of orders per year:
Number of Orders = Annual Demand / Order Quantity = 10,054 / 1,146 ≈ 8.7699 orders per year
Step:3. Calculate the inventory cycle length in days:
Inventory Cycle Length (Days) = (Operating Days per Year) / (Number of Orders per Year) = 300 / 8.7699 ≈ 34.2216 days
Therefore, the length of the inventory cycle in days for the store when using an order quantity of 1,146 units per order is approximately 34.2216 days.
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4 x 25 = ? Use the distributive property. 4 × (20+5)
4 multiplied by 25 using the distributive property is equal to 100.
The distributive property is a fundamental property in mathematics that states that multiplying a number by a sum is the same as multiplying the number by each addend in the sum and then adding the products.
In this case, we have 4 multiplied by the sum of 20 and 5, which can be rewritten as 4 multiplied by 20 plus 4 multiplied by 5. Thus:
4 × (20+5) = 4 × 20 + 4 × 5
= 80 + 20
= 100
Therefore, 4 multiplied by 25 using the distributive property is equal to 100.
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5.2 The Characteristic Polynomial: Problem 4 (1 point) For which value of k does the matrix A= 2 k
-3 -8
have one real eigenvalue of algebraic multiplicity 2? k=
The matrix A will have one real eigenvalue of algebraic multiplicity 2 when k = -7.
To find the value of k for which matrix A has one real eigenvalue of algebraic multiplicity 2, we'll need to find the characteristic polynomial and solve for k. Here are the steps:
1. Write down matrix A:
A = | 2 k |
|-3 -8 |
2. Find the characteristic polynomial by subtracting λ from the diagonal elements and finding the determinant of the resulting matrix:
| 2-λ k |
|-3 -8-λ |
3. Compute the determinant:
(2-λ)((-8)-λ) - (-3)(k) = λ^2 + 6λ + k + 16
4. The matrix A will have one real eigenvalue of algebraic multiplicity 2 if the characteristic polynomial has a double root. This occurs when the discriminant of the quadratic equation is equal to 0:
Δ = b^2 - 4ac = (6)^2 - 4(1)(k+16) = 0
5. Solve for k:
36 - 4(k+16) = 0
36 - 4k - 64 = 0
-4k = 28
k = -7
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Please prove7. A bowl contains 9 marbles, each of which is red, blue or green. Show that at least 3 of these marbles are red, 3 are blue or 5 are green.
The probability that they are all of different colors when a bag contains 9 marbles is 9/28.
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.
Total number of marbles=9
Number of red marbles=3
Number of blue marbles=3
Number of yellow marbles=3
Three marbles are selected from the bag at random probability that they are all different color:
[tex]\frac{^3C_1*^3C_1*^3C_1}{^9C_3} = \frac{9}{28}[/tex].
Therefore, the probability that they are all of different colors is 9/28.
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Complete question:
A bag contains 9 marbles, 3 of which are red, 3 of which are blue, and 3 of which are yellow. If three marbles are selected from the bag at random, what is probability that they are all of different colors?
The conclusion is that in a bowl containing 9 marbles, at least 3 of them are red, at least 3 are blue, or at least 5 are said to be green.
What ae the marbles?The use of Pigeonhole Principle to prove the statement will be done in this question.
The Pigeonhole Principle is one that states that if there are more pigeons than pigeonholes, then at least one pigeonhole needs to have more than one pigeon.
So lets assume for contradiction that there are not at least 3 red marbles, 3 blue marbles, or 5 green marbles.
Case 1: There are fewer than 3 red marbles.
If less than 3 red marbles, then max 2 red marbles. 9 - 2 = 7 marbles left. 7 marbles: blue/green. With more than 3 marbles and assumed 2 red marbles, it violate the Pigeonhole Principle.
Case 2: There are fewer than 3 blue marbles.
If 3 blue marbles, then max 2 blue marbles. 9-2=7 marbles left, red or green. "More marbles than pigeonholes - against the Pigeonhole Principle."
Case 3: There are fewer than 5 green marbles.
5 green marbles, 4 green marbles. We have more marbles than pigeonholes, so against the Pigeonhole Principle.
So, there is contradiction in all 3 cases, our initial assumption that there are not at least 3 red marbles, 3 blue marbles, or 5 green marbles have to be false.
So, we can say that in a bowl containing 9 marbles, at least 3 of them are red, at least 3 are blue, or at least 5 are green.
Another is:
Total number of marbles=9
Number of red marbles=3
Number of blue marbles=3
Number of yellow marbles=3
So, the probability that they are all of different colors is 9/28.
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Emma ate 2 apples, Jacob ate 2.5 apples, Isaac ate 1.25 apples and Mia ate 1.75 apples. What was the total number of apples that these 4 students ate?
Answer:
They ate a total of 7.5 apples.
Step-by-step explanation:
The total number of apples that these 4 students ate is:
2 + 2.5 + 1.25 + 1.75 = 7.5
Therefore, they ate a total of 7.5 apples.
Answer: 7.5
Step-by-step explanation: 2 + 2.5 = 4.5
4.5 + 1.25 = 5.75
5.75 + 1.75 = 7.5
"needed in 20 mins i will rateyour answerQuestion 1 dy Find for the following functions, simp dx 9 (i) y = 2x5 – 4x3 + 9/4x^(3)
The derivative of the given function is:
y' = 10x^4 - 12x^2 + (27/4)x^2
To find the derivative of the given function, y = 2x^5 - 4x^3 + (9/4)x^3, we can use the power rule and the sum rule of differentiation.
The power rule states that the derivative of x^n is nx^(n-1), where n is any real number.
Using the power rule, we can find the derivative of each term in the function:
dy/dx (2x^5) = 10x^4
dy/dx (-4x^3) = -12x^2
dy/dx ((9/4)x^3) = (27/4)x^2
Using the sum rule, we can add the derivatives of each term to find the derivative of the function:
dy/dx (y) = dy/dx (2x^5) + dy/dx (-4x^3) + dy/dx ((9/4)x^3)
dy/dx (y) = 10x^4 - 12x^2 + (27/4)x^2
Therefore, the derivative of the given function is y' = 10x^4 - 12x^2 + (27/4)x^2.
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The relationship between marketing expenditures (x) and sales (y) is given by the following formula, y = 9x − 0.20x2 + 8. (Hint: Use the Nonlinear Solver tool). What level of marketing expenditure will maximize sales? (Round your answer to 2 decimal places.) What is the maximum sales value? (Round your answer to 2 decimal places.)
Hi! To find the level of marketing expenditure that will maximize sales and the maximum sales value, we can follow these steps:
1. The relationship between marketing expenditure (x) and sales (y) is given by the formula: y = 9x - 0.20x^2 + 8.
2. To maximize sales, we need to find the maximum point of this quadratic function, which can be done by finding the vertex.
3. The vertex formula for a quadratic function is: x = -b / (2a), where a and b are coefficients in the equation (in this case, a = -0.20 and b = 9).
4. Calculate x (marketing expenditure) for the vertex: x = -9 / (2 * -0.20) = -9 / -0.40 = 22.50.
5. Round the marketing expenditure to 2 decimal places: 22.50.
6. Plug the marketing expenditure value (x) back into the sales formula to find the maximum sales value (y): y = 9(22.50) - 0.20(22.50)^2 + 8.
7. Calculate y: y = 202.50 - 0.20(506.25) + 8 = 202.50 - 101.25 + 8 = 109.25.
8. Round the maximum sales value to 2 decimal places: 109.25.
So, the level of marketing expenditure that will maximize sales is $22.50, and the maximum sales value is $109.25.
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the is the proportion of the total variation in the dependent variable explained by the regression model (or independent variable). A) coefficient of determination B) correlation coefficient C) slope D) standard error
The term you are looking for is the proportion of the total variation in the dependent variable explained by the regression model (or independent variable), which is known as the A) coefficient of determination.
The coefficient of determination, also known as R-squared, is a statistical measure that indicates the proportion of the total variation in the dependent variable that is explained by the regression model or independent variable. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. The other terms mentioned - variable, proportion, and independent - are all related to the concept of regression analysis, which is used to identify the relationship between a dependent variable and one or more independent variables, and to quantify the extent to which changes in the independent variables affect the dependent variable.
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The probability distribution for a game is shown in the table below.
What is the probability of getting more than 1 point if the game is played one time?
Answer:
3/8
Step-by-step explanatio
the person shows the answer and explanation nice!
What is the quotient of 13,756 divided 5
The quotient of 13,756 divided 5 is 2, 753.
We have to divide 13756 by 5.
So, the division is
5 | 13765 | 2 7 5 3
10
____
37
35
____
26
25
___
15
15
___
0
Thus, the quotient is 2,753.
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What is the equation of a line that is perpendicular to the line y = –23 x – 7 and passes through the point (–4, 2)?
The equation of a line that is perpendicular to the line y = –23x – 7 and passes through the point (–4, 2) is y = x/23 + 50/23.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.Since the equation of this line is perpendicular to the line y = –23x – 7, the slope is given by;
Slope, m = -23
m₁ × m₂ = -1
-23 × m₂ = -1
m₂ = -1/-23
Slope, m₂ = 1/23
At data point (-4, 2) and a slope of 1/23, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 2 = 1/23(x - (-4))
y - 2 = 1/23(x + 4)
y = x/23 + 4/23 + 2
y = x/23 + 50/23
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Help me with the question please. (10 points)
a rhombus is a parallelogram with a pair of opposite equal acute angles, a pair of opposite equal obtuse angles, and four equal sides.
in other words, it is a parallelogram with 4 equal sides, including a square as a special case.
the diagonal intersection point is the midpoint of both diagonals.
the diagonals intersect each other at a right angle (90°).
and they split each vertex angle in half.
so, they split the whole rhombus into 4 equal right-angled triangles.
and remember, the sum of all angles in a triangle is always 180°.
an "obtuse" angle means an angle larger than 90°.
an "acute" angle means an angle smaller than 90°.
because of all that, in the triangle PKE the angle K must be greater than 45° (90/2 = 45), so that the rhombus angle K can be "obtuse", as it must be twice the triangle angle K.
the triangle angle E is 90°.
so, the 16° must be triangle angle P.
and the triangle angle K is then
triangle angle K = 180 - 90 - 16 = 74°.
so, rhombus angle K = rhombus angle N = 2×74 = 148°
and triangle PMN angle N = 74°.
triangle PMN angle M = triangle PMN angle P = 16°.
1Find 58% of 5.26
2 find 35% of 4.19
3 find 22% of 3.27
4 find 2% of 5.83
5 find 38% of 8.92
1:. 3.0508
2:. 1.4665
3:. 0.7194
4:. 0.1166
5:. 3.3896
PLEASE HELP ME!!! + points
the gas station and hotel are both on a highway, and the distance between them is about 100 miles. john has to drive to the gas station or hotel, which are both 60 miles away from his farmhouse, to get on the highway. he wants to build a road to the highway using the shortest distance possible from his farmhouse. enter the shortest distance possible from his farmhouse. enter the shortest distance, in miles, from the farmhouse, to the highway
The shortest distance from John's Farm house to the high way is 116.6miles. This is solved using Pythagorean theorem.
What is the explanation?When triangulated, we find three possible distances:
D - the Gas Station to the Hotel = 100miles
P - The gas station to the farm house = 60 miles
x - shortest distance between farm ouse to the highway
In Pythagorean format:
x² = 60² + 100²
x² = 3600 +10000
x = √13600
x [tex]\approx[/tex] 116.6 Miles.
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There are 640 acres in 1 square mile. The area of a forest is increasing at a rate of 1 acre per decade. Which of the following is closest to the rate at which the area of the forest is increasing, in square kilometers per decade? (Use 1 kilometer =0.62 mile.) A) 0.00061mi=1.61 km B) 0.0010 C) 0.0025 D) 0.0041
There are 640 acres in 1 square mile. The area of a forest is increasing at a rate of 1 acre per decade. The rate at which the area of the forest is increasing, in square kilometers per decade is C) 0.0025 square kilometers per decade.
The area of the forest is increasing at a rate of 1 acre per decade. To find the rate in square kilometers per decade, we first need to convert acres to square miles, and then square miles to square kilometers.
1 acre = 1/640 square miles (since there are 640 acres in 1 square mile)
Now, we'll convert square miles to square kilometers using the given conversion factor (1 kilometer = 0.62 mile):
1/640 square miles * (1 km / 0.62 mile)^2 = 1/640 * (1 / 0.3844) square kilometers ≈ 0.00256 square kilometers
So, the closest answer to the rate at which the area of the forest is increasing is:
C) 0.0025 square kilometers per decade
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A square with sides measuring 5 millimeters each is drawn within the figure shown. A point within the figure is randomly selected.
What is the approximate probability that the randomly selected point will lie inside the square?
5.3%
8.4%
13.3%
18.1%
Answer:
C) 13.3%-------------------------
Area of square with side of 5 mm is:
A = a² = (5 mm)² = 25 mm²Find total area of the figure:
A(total) = A(trapezoid) + A(triangle)A(total) = (b₁ + b₂)h/2 + bh/2A(total) = (14 + 18)(17 - 12)/2 + 18*12/2 = 80 + 108 = 188Find the percent value of the ratio of areas of the square and full figure, which determines the probability we are looking for:
25/188*100% = 13.2978723404 % ≈ 13.3%This is matching the choice C.
Solve for x.
.
.
.
Question content area top right
Part 1
35°
C
B
45
x
Question content area bottom
Part 1
x= enter your response here (Round to the nearest hundredth.)
The measure of the side x is 31. 509
How to determine the valueFirst, we need to know the different trigonometric identities. These identities are;
sinetangentcosinesecantcosecantcotangentFrom the information given, we have that;
The opposite side = x
The adjacent side = 45
The angle, theta = 35 degrees
Using the tangent identity, we have the ratio
tan 35 = x/45
cross multiply the values, we have;
x = 45tan (35)
find the value
x = 45(0. 7002)
multiply the values
x = 31. 509
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6)y=4
help me please
Answer:
y = 4 is line parallel to x-axis. In that line, each point's y-co-ordinate is 4.
Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (if the quantity diverges, enter diverges. ) [infinity] 0 1 6 1 x dx
a. Convergent
b. Divergent
The integral ∫[0,6] 1/x dx is divergent, An integral is said to be divergent if it does not have a finite value.
The given integral is:
[tex]∫[0,6] 1/x dx[/tex]
We know that the integral of 1/x is ln(x), and the antiderivative of ln(x) is xln(x) - x.
So, applying the limits of integration, we get:
[tex]∫[0,6] 1/x dx = ln(x)|[0,6] = ln(6) - ln(0)[/tex]
The natural logarithm of zero is unclear, so the indispensably isn't characterized at x = 0. In this manner, the indispensability is unique.
An integral is said to be divergent in the event that it does not have limited esteem. In other words, on the off chance that the fundamentally does not meet a genuine number, it is said to be unique.
There are a few reasons why a fundamentally may be unique. A few common reasons incorporate:
The integrand gets to be unbounded at a few points inside the limits of integration.
The integrand does not approach zero as the constraint of integration approaches boundlessness.
The limits of integration are interminable, and the integrand does not merge to a limited esteem as the limits approach interminability.
When an indispensably is disparate, it implies that the zone beneath the bend is interminable or does not exist.
This could have imperative suggestions in ranges such as material science and designing, where integrands are utilized to calculate amounts such as work, energy, and a liquid stream.
Thus, the answer is (b) Divergent.
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