Step-by-step explanation:
Divide.
Question
Which of the following statements is MOST LIKELY TRUE?
A-The lower half of Sample A's data is closer to the value 5 than the lower half of Sample B's data.
B-Both of the data sets range from 1 to 10 on the number line.
CThe upper half of Sample A's data is closer to the value 10 than the upper half of Sample B's data.
D-The data in Sample B is clustered around the center where Sample A is more spread out
Explain
(Real answers no bots)
Answer:
D-The data in Sample B is clustered around the center where Sample A is more spread out
Step-by-step explanation:
maybe sorry if wrong
Find the measure of the angle
Answer:
? ≈ 58°
Step-by-step explanation:
since all 3 sides of the triangle are given, we can use any of the 3 trigonometric ratios.
using the sine ratio
sin ? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{45}{53}[/tex] , then
? = [tex]sin^{-1}[/tex] ( [tex]\frac{45}{53}[/tex] ) ≈ 58° ( to the nearest degree )
Answer:
58°
Step-by-step explanation:
[tex]sin(?)=\frac{45}{53}[/tex]
[tex]?=sin^{-1} (\frac{45}{53})[/tex]
[tex]?=sin^{-1} (0.8491)[/tex]
[tex]?=58.1^{0}[/tex]
Hope this helps.
Please help me with this math
Answer: 1. 8.94
2. 13
3. True
Step-by-step explanation:
Cody has a bag of 30 pencils each pencil is 16 centimeters long what is the combined length in meters?
Answer:
The total length of the 30 pencils in centimeters is:
30 x 16 = 480 cm
To convert centimeters to meters, we divide by 100:
480 cm / 100 = 4.8 m
Therefore, the combined length of the 30 pencils is 4.8 meters.
Step-by-step explanation:
Problem 3
A bottle filling machine fills an average of 20,000 bottles
a day with a standard deviation of 2000. Assuming that
production is normally distributed and the year
comprises 260 working days, calculate the approximate
number of working days on which:
a) Under 18,000 bottles are filled
b) Over 16,000 bottles are filled
c) Between 18,000 and 24,000 bottles are filled.
Answer: a) To find the number of working days on which under 18,000 bottles are filled, we need to calculate the z-score for this value:
z = (18,000 - 20,000) / 2000 = -1
Using a standard normal distribution table or calculator, we find that the probability of a value being less than -1 standard deviation is approximately 0.1587. Therefore, the approximate number of working days on which under 18,000 bottles are filled is:
0.1587 x 260 ≈ 41
b) To find the number of working days on which over 16,000 bottles are filled, we need to calculate the z-score for this value:
z = (16,000 - 20,000) / 2000 = -2
Using a standard normal distribution table or calculator, we find that the probability of a value being less than -2 standard deviations is approximately 0.0228. Therefore, the approximate number of working days on which over 16,000 bottles are filled is:
0.0228 x 260 ≈ 6
c) To find the number of working days on which between 18,000 and 24,000 bottles are filled, we need to calculate the z-scores for these values:
z1 = (18,000 - 20,000) / 2000 = -1
z2 = (24,000 - 20,000) / 2000 = 2
Using a standard normal distribution table or calculator, we find that the probability of a value being less than -1 standard deviation is approximately 0.1587, and the probability of a value being less than 2 standard deviations is approximately 0.9772. Therefore, the approximate number of working days on which between 18,000 and 24,000 bottles are filled is:
(0.9772 - 0.1587) x 260 ≈ 236
Step-by-step explanation:
Write a polynomial function of the least degree with integral coefficients that have the given zeros. 1,-5,-1/2
Answer:
If 1, -5, and -1/2 are zeros of a polynomial function, then the factors of the polynomial are:
(x - 1), (x + 5), and (2x + 1)
To find the polynomial function, we multiply these factors together and simplify:
(x - 1)(x + 5)(2x + 1)
= (x^2 + 4x - 5)(2x + 1)
= 2x^3 + 9x^2 - 6x - 5
Therefore, the polynomial function of the least degree with integral coefficients that has the zeros 1, -5, and -1/2 is:
f(x) = 2x^3 + 9x^2 - 6x - 5
Please someone give me the answer to this or how to do this? I will mark brainly
Answer:
Step-by-step explanation:
Katie had 12 gallons of gas in her car when she left her house. She used 2 1/2 gallons of gas each hour that she drove. How many gallons did she have after driving for 2 hours?
She has 7 gallons of gas after driving for 2 hours.
What is Subtraction?
Subtraction is a mathematical operation that involves finding the difference between two numbers or quantities. It is the inverse of addition, which means that it is the opposite process of adding numbers.
In subtraction, a number or quantity (called the subtrahend) is subtracted from another number or quantity (called the minuend), resulting in the difference. The symbol used for subtraction is "-" and the resulting value is called the remainder or difference.
Katie had 12 gallons of gas.
She used 2 1/2 gallons of gas each hour.
Now, She drove 2 hours.
So, gallon of gas use for 2 hours = 2 × 2 1/2
= 2 × 5/2
= 5 gallons of gas.
Now, Gallons of gas left after 2 hours
= total gallons of gas - Gallons used for 2 hours
= 12 - 5
= 7.
Hence, She is left with 7 (12-5) gallons of gas.
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eric wanted to run 8 miles around track . how many times does he need to run around track
Answer: 32 times
Step-by-step explanation:
there are 4 laps on a track to reach a mile
4x8=32
This image has rotational symmetry. What is the smallest number of degrees you need to rotate the image for it to look the same?
the minimum number of degrees that may be rotated to satisfy rotational symmetry in this figure is 60°.
What is rotational symmetry?
Rotational symmetry is a type of symmetry where a shape or object can be rotated by a certain angle and still appear exactly the same as it did before the rotation. The smallest angle of rotation for which the shape or object appears the same is called the angle of rotational symmetry or the order of the rotational symmetry.
In light of the posed query
There is rotational symmetry in the image.
This picture can be seen as a circle. A whole circle has 360 degrees.
Six wings cover the figure.
360/6
=60°
Hence, the minimum number of degrees that may be rotated to satisfy rotational symmetry in this figure is 60°.
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Find the sum of the first 10 terms of the following geometric sequences:
{1.5, 3, 6, 12, 24...}
The given sequence is a geometric sequence, where the common ratio (r) between any two consecutive terms is:
r = 3/1.5 = 2
We need to find the sum of the first 10 terms of this sequence. Let's denote the first term (a₁) as 1.5 and the tenth term (a₁₀) as a.
The formula to find the sum of the first n terms of a geometric sequence is:
Sₙ = a(1 - rⁿ)/(1 - r)
Substituting the values, we get:
a = 1.5 x 2^9 = 768
S₁₀ = 1.5(1 - 2¹⁰)/(1 - 2) = 1.5(1 - 1024)/(-1) = 1.5 x 1023
Therefore, the sum of the first 10 terms of the given sequence is 1.5 x 1023, which is approximately equal to 1.53 x 10³=1534,5
Can anyone help me solve for x
Based on the congruent angles theorem, the value of the variable x in the circle is 40 degrees
How to determine the solution to the variableAn angle is a figure formed by two rays that share a common endpoint, called the vertex of the angle
From the question, we have the following parameters that can be used in our computation:
The circle with center O
In the figure, angles with the same marks are congruent angles
Using the above as a guide, we have the following:
x =40
Hence, the value of x is 40 degrees
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PLEASE THIS IS URGENT SOMEONE GAVE THE ANSWER
Answer: what's so urgent?
Step-by-step explanation:
I'll give 10 points if somebody solves it
Answer:
Step-by-step explanation:
1. 1 - 408
2. 15/136
3. 1/2
4. 24%
The chicken coup at the petting farm is 10 feet by 14 feet. The farm would like to double the current area by adding the same amount, x, to the length and width. What are the dimensions of the new enclosure? Round to the nearest hundredth of a foot.
From the quadratic equation, we found the new dimensions:
Length = 14.85 feet
Width = 18.85 feet.
What is a quadratic equation?
The polynomial equations of degree two in one variable of type
f(x) = ax² + bx + c = 0 and with a, b, c, ∈ R and a ≠ 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of
f (x).
The current dimensions of the farm are 10 feet by 14 feet.
Length l = 10 feet
Width w = 14 feet
Area a = l * w = 10 * 14 = 140 sq. feet.
Now the new area is doubled.
A = 2a = 2 * 140 = 280 sq.feet
The new dimensions are:
L = l + x = 10 + x
W = w + x = 14 +x
A = (10+x)(14+x)
280 = 140 + 10x + 14x + x²
x² + 24x - 140 = 0
This is a quadratic equation.
Solving the equation, we get
x = 4.85, -28.85
Neglecting the negative value, we get the value of x as 4.85.
Therefore from the quadratic equation, we found the new dimensions:
L = 10 + 4.85 = 14.85 feet
W = 14 + x = 14 + 4.85 = 18.85 feet.
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Combine like terms to create an equivalent expression. 9/8 m + 9/10 - 2m - 3/5
Combine like terms to create an equivalent expression.[tex]\frac{9}{8} m + \frac{9}{10} - 2m - \frac{3}{5}[/tex] then we formed the equation is [tex]= \frac{1}{8} m - \frac{3}{50}[/tex]
How can you locate comparable expressions?When two expressions can be reduced to a single third expression or when one of the statements can be expressed in the same way as the other, they are said to be equivalent. When values are replaced for the variables and both expressions yield the same result, you may also tell if expressions are equal.
What phrase has the same meaning as x2 2x 2?The final response is 2 x - 2; alternatively, you might write 2 x - 3. The ultimate response is -2 point to the right. You could see that choice d is right in this case.
In this expression, we have two terms with the variable m: [tex]9/8 m[/tex] and [tex]-2m[/tex]. We can combine these by subtracting [tex]2m[/tex] from [tex]9/8 m[/tex], which gives us [tex]1/8 m[/tex].
We also have two constant terms: [tex]9/10[/tex] and [tex]-3/5[/tex]. We can combine these by adding them, which gives us [tex]-3/50[/tex].
Putting it all together, we get:
[tex]\frac{9}{8} m + \frac{9}{10} - 2m - \frac{3}{5} = \frac{1}{8} m - \frac{3}{50}[/tex]
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Answer:-7/8m+3/10
Step-by-step explanation:
need help with This Math
Answer:
We know that the formula for the circumference (C) of a circle is:
C = 2πr
where r is the radius of the circle.
We are given that the circumference is 8πm, so we can write:
8πm = 2πr
Simplifying this equation by dividing both sides by 2π, we get:
r = 4m
Now that we know the radius of the circle, we can use the formula for the area (A) of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(4m)^2
Simplifying this equation, we get:
A = π(16m^2)
A = 16πm^2
Therefore, the area of the circle is 16πm^2. The answer is C
On Sunday, 8 friends earned $44 by washing people's
Cars. They want to share the money equally. How much
money does each friend get?
Please help with this problem
The probabilities of picking the real numbers are 0.52 and 0.88, respectively
How to determine the probabilitiesThe probabilities in this case, is the area covered by each region
Using the above as a guide, we have the following:
Real number between 3 and 5
Here, we have the area to be
Region B
The area of region B is 0.56
So, we have
Probability = 0.56
Real number between 3 and 7
Here, we have the area to be
Region B and Region C
The areas of these regions are 0.56 and 0.32
So, we have
Probability = 0.56 + 0.32
Probability = 0.88
Hence, the probability is 0.88
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the bottom 8 problems please help
Answer:
Here'd how to do problems like these. For example with #1 in your image (below)
Step-by-step explanation:
The sum of the series with the general terms k + 2 from k= 1 to k= 5
All you have to do is plug in all the numbers WITHIN the interval so in this case it would be 1,2,3,4, &5. After you plug in each of those numbers into the equation, you add them up.
Like so:
(1) + 2= 3
(2) + 3= 5
(3) + 3 = 6
(4) + 3 = 7
(5) + 3 = 8
3+5+6+7+8= 30
The volume of a storage unit needs to be 400 cubic ft with a width of 10ft and a lengths of 8 ft. What does the height of the unit need to be?
Answer:
to find the height of the storage unit, we can use the formula for volume:
Volume = length x width x height
We know that the volume needs to be 400 cubic ft, the width is 10ft and the length is 8ft. So, we can plug in these values and solve for the height:
400 = 8 x 10 x height
400 = 80 x height
height = 400/80
height = 5 ft
Therefore, the height of the storage unit needs to be 5 ft.
Select the correct answer.
Function k is a continuous quadratic function that includes the ordered pairs shown in the table
-1
0
2 3 4
5 8
5 0
x
k (x)
1
9 8
Over which interval of the domain is the function increasing?
O A. (1,00)
OB.
(-00, 9)
OC.
C.
(-∞0, 1)
OD.
(-∞0, ∞0)
Function is increasing in the domain of interval (1, ∞).
Define quadratic functionA quadratic function is a mathematical function of the form:
f(x) = ax² + bx + c
where "a", "b", and "c" are constants, and "x" is the variable.
From the given table of ordered pairs, we can see that the function k is a continuous quadratic function that passes through the points (-1, 0), (0, 2), (2, 5), (3, 4), and (4, 5).
We can estimate the slope of the function between each pair of consecutive points in the table. For example, between (-1, 0) and (0, 2), the slope is positive, so the function is increasing in the interval (-1, 0). Between (0, 2) and (2, 5), the slope is also positive, so the function is increasing in the interval (0, 2). However, between (2, 5) and (3, 4), the slope is negative, so the function is decreasing in the interval (2, 3).
Finally, between (3, 4) and (4, 5), the slope is positive, so the function is increasing in the interval (3, 4). Therefore, the function k is increasing over the intervals (-1, 0) and (3, 4).
So, the correct answer is option A: (1, ∞).
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x+y=6 rearrange to make y the subject
Answer:y=6-X
Step-by-step explanation:
To leave y on it’s on on the right hand side we need to subtract X
X+y-X= y
What you do on the left hand side, you do the same on the right hand side
6-X
final equation would be:
X+y-X=6-X
Simplifying we get :
y=6-X (FINAL ANSWER)
On a coordinate plane, trapezoid J K L M is shown. Point J is at (negative 7, 4), point K is at (negative 4, 4), point L is at (negative 2, 3), and point M is at (negative 8, 3). What is the perimeter of trapezoid JKLM? StartRoot 2 EndRoot + StartRoot 5 EndRoot units 2 + StartRoot 2 EndRoot + StartRoot 5 EndRoot units 9 + 2 StartRoot 2 EndRoot units 9 + StartRoot 2 EndRoot + StartRoot 5 EndRoot units
Correct option is D, The perimeter of the trapezoid J K L M is units 9 + StartRoot 2 EndRoot + StartRoot 5 EndRoot units (= 9 + √5 + √2 units. )
What is meant by perimeter?The length of a two-dimensional shape's boundary is its perimeter. It is frequently referred to as the sum of the lengths of the sides of the object. Such shape's perimeter is equal to the side lengths added together algebraically. We have formulas for the various geometric shapes.
The vertices of KLMN an isosceles trapezoid are (-7,4), (-4,4), (-2,3), (-8,3).
perimeter of trapezoid JKLM = sum of sides
Using distance formula [tex]\sqrt{(x2-x2)^2 + (y2 - y1)^2}[/tex],
Distance between the sides of trapezoid is,
(-7,4), (-4,4) =
[tex]\sqrt{(-7 + 4)^2 + (4 - 4)^2}\\= \sqrt{9}\\= 3 units[/tex]
(-4,4), (-2,3) =
[tex]\sqrt{(-2 + 4)^2 + (3 - 4)^2}\\= \sqrt{5} units[/tex]
(-2,3), (-8,3) =
[tex]\sqrt{(-8 + 2)^2 + (3-3)^2}\\= \sqrt{6}^2\\= 6 units[/tex]
(-7,4), (-8,3)
[tex]\sqrt{(-8 +7)^2 + (3-4)^2}\\= \sqrt{-1^2 + -1^2}\\= \sqrt 2 $ units $[/tex]
So, the sum of sides will be -
= 3 + √5 + 6 + √2
= 9 + √5 + √2 units.
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Answer:
its D
Step-by-step explanation:
i took the test on edg
Explain how to find Wich one is greater: 1/4 of 12 or 1/3 of 12
John takes out a loan of $10600 that charges 12% interest compounded monthly. If John makes $170 monthly payments, determine how long it will take him to pay off the loan. Round your answer up.
Answer:
it would be 70months when rounded up.
Step-by-step explanation:
if not then 69months 7days
In process costing 8000 units are introduced during a period 5% of input is normal loss . Closing WIP 60% complete is 1000 unit, 6600 completed units are transferred to next process. Equivalent production for the period
Hence, 7200 units were produced throughout the period equivalently as WIP multiplied by the percentage of completion.
what is percentage ?The percentage sign (%) is used to indicate it. When a student receives a score of 80% on a test, for instance, it signifies that 80 of the 100 questions were properly answered by the student. Alternatively, the result can also be expressed as a fraction of 80/100, or as 0.8 in decimal form. In order to express a portion or component of a whole, percentages are utilized. It is a practical technique to contrast values of various magnitudes on an equivalent scale.
given
The steps to determine the equivalent production are as follows:
Total units input: 8000
A typical loss is 400 units, or 5% of 8000 units.
Consider there to be no anomalous loss because none has been reported.
Counted in total units: 8000 - 400 = 7600 units
Units completed: 7600 less 1000 (closing WIP) equals 6600 units.
Equivalent production equals completed units plus closing WIP multiplied by the percentage of completion, which equals 6600 + 1000 x 60%, or 6600 + 600, or 7200 units.
Hence, 7200 units were produced throughout the period equivalently as WIP multiplied by the percentage of completion.
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1a)Due to the fuel scarcity in Japan the cost of a phone rises from 4500Naira to 5500 find the increment in price = (1b)Use the information above to find the percentage increase in price = (2) The discount of 10% was given to a customer and she paid 3,000Naira for an article, find the marked price = (3) 30 crates of eggs was bought by a distributor at 30 Naira each, she was given a commission of 4% on a crate. How much commission did she get ? = (4) A dealer sells articles worth 49000 Naira and get a commission of 7% calculate his commission = (5) A dealer wanted to buy an article for Naira39.28kobo,but the marketed price for the article is Naira44.48kobo. How much discount did the customer request for? = (6) A trader appealed to buy an article for 225.00Naira but the marketed price for the article is 245.00 Naira what percent of discount did the trader request for ? = (7) Am agent was given a commission of 3% on a house he sold for 33.00Naira . How much commission did the agent get ? = (8) A company increases the salary of all employees by 5% of their salaries. If an employee earns 250Naira a month what is his new salary ? = (9) A man gives a discount of 5% on the fridge he bought for 55.00Naira. Find the marketed price of the fridge.= (10) A trader demanded a discount of 55.00Naira ok the goods she bought for 845.00Naira . What is the marketed price and the percentage discount ? =.
Answer:
1a) Increment in price = 5500 - 4500 = 1000 Naira
1b) Percentage increase in price = (increment in price / old price) x 100%
= (1000 / 4500) x 100%
= 22.22%
2) Marked price = selling price / (1 - discount percentage)
= 3000 / (1 - 0.1)
= 3333.33 Naira
3) Total cost of 30 crates of eggs = 30 x 30 = 900 Naira
Commission = (4/100) x 900
= 36 Naira
4) Commission = (7/100) x 49000
= 3430 Naira
5) Discount = marked price - selling price
= 44.48 - 39.28
= 5.20 Naira
6) Discount = (245 - 225) / 245 x 100%
= 8.16%
7) Commission = (3/100) x 33
= 0.99 Naira
8) New salary = old salary + 5% of old salary
= 250 + (5/100) x 250
= 262.50 Naira
9) Marketed price = selling price / (1 - discount percentage)
= 55 / (1 - 0.05)
= 57.89 Naira
10) Marketed price = selling price + discount
= 845 + 55
= 900 Naira
Percentage discount = (discount / marked price) x 100%
= (55 / 900) x 100%
= 6.11%
Step-by-step explanation:
Find the general solution for dy/dx cosx=ysinx+sin113x
Therefore, the general solution for the differential equation dy/dx cosx=ysinx+sin113x is y = log |sin(x) / sin(113x)| + C, where C is an arbitrary constant.
What does a differential equation in calculus mean?A differential equation explains the unknown derivative or derivatives of a function. Example: Think about the equation. The equation d y d x = x sin represents the derivative of an unknown function.
We can solve this differential equation by using separation of variables.
First, we'll rearrange the equation to isolate the y term on one side:
cos x = y sin x + sin 113x
cos x - sin 113x = y sin x
y = (cos x - sin 113x) / sin x
Now we can integrate both sides with respect to x:
∫dy = ∫(cos x - sin 113x) / sin x dx
Using integration by parts, we can integrate the second term on the right side:
∫dy = ∫cos x / sin x dx - ∫sin 113x / sin x dx
The first term on the right side can be integrated using substitution:
u = sin x, du/dx = cos x dx
∫cos x / sin x dx = ∫du/u = log |u| + C1 = log |sin x| + C1
The second term on the right side can be rewritten as:
∫sin 113x / sin x dx = - ∫sin 113x / sin 113x cos x dx
= - ∫csc x cos 113x dx
Using substitution again:
u = sin 113x, du/dx = 113 cos 113x dx
∫csc x cos 113x dx = - ∫du/u = - log |sin 113x| + C2
y = log |sin x| - log |sin 113x| + C
Simplifying:
y = log |sin(x) / sin(113x)| + C
Therefore, the general solution for the differential equation dy/dx cosx=ysinx+sin113x is y = log |sin(x) / sin(113x)| + C, where C is an arbitrary constant.
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Complete the Proof Correctly.
We use the additiοn prοperty οf equality tο simplify this tο FA = RN, which is what we wanted tο prοve.
What is Substitutiοn Prοperty οf Equality?The substitutiοn prοperty οf equality states that if twο expressiοns are equal, then οne can be substituted fοr the οther in any equatiοn οr expressiοn withοut changing the truth οf that equatiοn οr expressiοn.
Step:
The prοοf starts with the given that FRAN. We want tο prοve that FARN is true. We start by using the segment additiοn pοstulate tο add RA tο bοth sides οf FR tο get FR + RA = FR + RA.
We then use the additiοn prοperty οf equality tο simplify this tο FR + RA = FR + RA. Next, we use the segment additiοn pοstulate again tο add AN tο bοth sides οf FR + RA tο get FR + RA + AN = FR + RA + AN.
We then use the substitutiοn prοperty οf equality tο replace AN with FR, which gives us FR + RA + FR = FR + RA + FR.
We simplify this tο FR + RA = FR + RA + FR and then use the segment additiοn pοstulate again tο add FA tο bοth sides οf RA tο get RA + FA = RA + FA.
Finally, we use the additiοn prοperty οf equality tο simplify this tο FA = RN, which is what we wanted tο prοve.
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