a) The proportion of the investments had a return of between 10% and 30% is given as follows: 0.68 = 68%.
b) The proportion of the investments had a return of between -10% and 50% is given as follows: 0.997 = 99.7%.
c) The proportion of the investments had a return either less than 10% or more than 30% is given as follows: 0.32 = 32%.
d) The proportion of the investments had a positive return is given as follows: 0.9985 = 99.85%.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.Hence the percentages for this problem are given as follows:
Item a -> 68% -> within one standard deviation of the mean.Item b -> 99.7% -> within three standard deviation of the mean.Item c -> 32% -> More than one standard deviation of the mean.Item d -> all above the mean, 99.7% of the 50% below the mean -> 0.997 x 0.5 + 0.5 = 0.9985 = 99.85%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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b) Find the value of w. Sive each answer as an integer or as a fraction in its simplest form 4 cm A 7 cm 12 cm 3 cm B W cm 9 cm
The calculated value of w from the similar triangles is 21/4
Calculating the value of wFrom the question, we have the following parameters that can be used in our computation:
Similar triangles A and B
Also from the similar triangles, we have the following proportional relation
4 7 12
3 W 9
Using the above as a guide, we have the following equation
4/3 = 7/W = 12/9
So, we have
W * 12 = 7 * 9
Evaluate the products and divide both sides by 12
W = 21/4
Hence, the value of W is 21/4
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A is a segment whose endpoints are the center of a circle and a point on the circle.
Diameter is the segment whose end points are on the circle and passing through the center of the circle.
Given a statement.
We have to find the term defined for the statement.
Given a circle.
The end points of the circle are on the circle.
Any line segment whose end points are on the circle is defined as the chord.
If a chord passes through the center of the circle, then it is called the diameter.
Hence the correct term is diameter.
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Your question is incomplete. The complete question must be probably the on as given below.
Identify the term.
A _____ is a segment whose end points are on the circle and passing through the center of the circle.
Ms. Monti bought * adult tickets and y
children's tickets to an ice-skating show. She spent a total of $145. The equation below describes the relationship
between x and y.
25x + 15y = 145 The ordered pair (4, 3) is a solution of the equation. What does the solution
(4, 3) represent?
A Ms. Monti bought 4 adult tickets and
3 children's tickets. B Adult tickets cost $4 each and
children's tickets cost $3 each. C Ms. Monti spent $4 on adult tickets
and $3 on children's tickets. D The cost of 4 adult tickets equals the
cost of 3 children's tickets.
Compute the measures of center for both the boys and girls data. Describe their differences. Use the terms mean and median to justify your answer. 3) points
GIVING 100 PTS!
1.) The data I discovered for the Girls Is 50 which Is the median, And the mean Is 46.
For the boys Is 33 which Is the median, and the mean is 34.
2.) The difference Is, The girls Is 15-81 From the boys, The boys Is 0-75, This means the boys median would be less because their scores are less.
Answer:
1.) The data I discovered for the Girls Is 50 which Is the median, And the mean Is 46.
For the boys Is 33 which Is the median, and the mean is 34.
2.) The difference Is, The girls Is 15-81 From the boys, The boys Is 0-75, This means the boys median would be less because their scores are less.
Step-by-step explanation:
Credits to: 3dxnnComplete the statement: triangle AED~triangle ____
And Find the value of X
The solution is the value of X is, x = 2.
Here, we have,
from the given diagram,
we get,
from triangle ABC,
AB = 5, AC = 6
and, From triangle ADE,
AD = 10, AE = 12
and, both has same angle A,
so, by SAS rule, both are congruent.
we get,
triangle AED ~ triangle ABC
now, we know that,
here, DE = 2 BC
so, x+12 = 2( 4x-1)
or, x+ 12 = 8x -2
or, x = 14/7
or. x= 2
Hence, the value of X is, x = 2.
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Hurry up please (time limit)
State the domain and range and tell if the graph is a function yes or no?
What’s the domain and range?
The graph in this problem is not a function, as it contains vertically aligned points.
The domain and the range are given as follows:
Domain: -3 ≤ x ≤ 3.Range: 1 ≤ y ≤ 3.When does a graph represents a function?A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y. Vertically aligned points mean that a value of x is mapped to multiple values of y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.
When we trace a vertical line through the circle, it would cross the circle at two points, meaning that the graph contains vertically aligned points, and thus, is not a function.
The domain and the range are defined as follows:
Domain: -3 ≤ x ≤ 3. -> values of x on the graph.Range: 1 ≤ y ≤ 3. -> values of y on the graph.More can be learned about graphs and functions at https://brainly.com/question/12463448
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What is the area of the reduced rectangle? 0.18 square units 1.8 square units 18 square units 180 square units
The area of the reduced rectangle is 1.8 unit²
The correct answer is an option (b)
Here the length of the rectangle is 15 units.
And the width of the rectangle is 12 units.
The rectangle has been reduced by a scale of 1/10
so, the new length of the rectangle is:
l = 1/10 × 15
= 1.5 units
And the new width of the rectangle is:
w = 1/10 × 12
= 1.2 units
We need to determine the area of the reduced rectangle.
Using the formula for area of rectagle, the area of the reduced rectangle would be:
A = l × w
A = 1.5 × 1.2
A = 1.8 unit²
Therefore, the correct answer is an option (b)
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The complete question is:
The rectangle below has been reduced by a scale of StartFraction 1 over 10 EndFraction. A rectangle has a length of 15 and width of 12. [Not drawn to scale] What is the area of the reduced rectangle?
a) 0.18 square units
b) 1.8 square units
c) 18 square units
d) 180 square units
The table below shows the educational attainment of a country's population, aged 25 and over. Use the data in the table, expressed in millions, to find the probability that a randomly selected citizen, aged 25 or over, had .
The probability of selecting a citizen, aged 25 or over, who had 4 years of college will be 0.2455.
Given that:
The table below shows the educational attainment of a country's population, aged 25 and over.
The probability is given as,
P = (Favorable event) / (Total event)
The probability of selecting a citizen, aged 25 or over, who had 4 years of college will be given as,
P = 41 / 167
P = 0.2455
The probability will be 0.2455.
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The complete question is given below.
Using the picture, give the term that best describes
each of the following.
C.
1.
E
D
B
G
F
H
BC
3. DH
4. EH 5. OG 6. GF
7. B
2. Term not applicable to this diagram
The labelled parts are described as follows
1. BC - Tangent
3. DH - Chord
4. EH - Diameter
5. G - center of the circle
6. GF Radius of the circle
7. B. a point of tangency
What is tangent and chord of a circleTangent: Referenced as a point of tangency, a tangent to a circle is a line that meets the circumference at one solitary area while never penetrating inside its bounds. To explain further, this line is perpendicular to the radius of the circle right at the tip of contact.
Chord: Referring to such an element, a chord of a circle is a straight piece between two areas that lay along the circumference. Without having any relation to the middle of the target object, it has both of its extremities on the peripheral border.
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3 dependent events. A bag contains ten balls. Six of the balls are green. A ball is chosen at random. The ball is replaced and then a second ball is chosen at random. Work out the probability that: a)both balls are green b)neither ball is green
The Probability of both balls being green is 0.36 or 36%
b) The Probability of neither ball being green is 0.16 or 16%
What is the Probability about?Based on question A, To find the probability that both balls are green, we use the equation below:
P (both green) = P (first green) x P (second green)
= (6/10) x (6/10)
= 36/100
= 9/25
=0.36
b) To find the probability that neither ball is green, we use the formula below:
P (neither green) = P (first not green) x P (second not green)
= (4/10) x (4/10)
= 16/100
= 4/25
=0.16.
Therefore, the statement will be: The Probability of both balls being green: 0.36 and the probability of neither ball being green is 0.16
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netflix has a membership plan in which a person pays a flat fee of $10 plus $2 for each movie rented. Non members pay $4.50 for each movie rented. write a system of equations for each plan
Is anyone good with Math or History
The probability of passing at least one will be 0.70.
We know that,
Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
here, we have,
Probability of passing history course = 0.59
Probability of passing math course = 0.60
Probability of passing both courses = 0.49
so, we get,
Probability of passing at least one will be
⇒ 0.59 + 0.60 – 0.49
⇒ 0.70
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complete question:
A student is taking two courses, history and math. the probability the student will pass the history course is 0.59, and the probability of passing the math course is 0.60. the probability of passing both is 0.49. what is the probability of passing at least one?
cant be that hard but i didnt pay attention
∠ AFE is supplementary to ∠ AFB and the measure of ∠ AFE = 102⁰.
option A.
What is a supplementary?Supplementary angles are the two angles that sum up to 180 degrees.
That is, if the sum of two angles is equal to 180 degrees, then the two angles are supplementary.
From the given diagram we can form the following equation;
∠ AFE + ∠ AFB = 180 (supplementary angles or sum of angles on a straight line )
∠ AFE = 180 - ∠ AFB
∠ AFE = 180 - 78
∠ AFE = 102⁰.
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i want to find inverse laplace help me pls.
Answer:
MY OPINION IS (REALLLLLL)
Step-by-step explanation:
What is the meaning of "the equation ax = b has a solution for every b ∈ H"?
In the given image, H is a non-empty set of complex numbers, a and b are complex numbers, and x is a variable.
"The equation ax = b has a solution for every b ∈ H" means that for any complex number b in the set H, there exists a complex number x such that the product of a and x is equal to b.
In other words, for every numbers of b in H, there exists a solution for x that satisfies the equation ax = b.
This statement has important implications in linear algebra and functional analysis, where it is used to define the concept of a surjective linear transformation in numbers. It also has applications in many areas of mathematics and science, including engineering, physics, and computer science.
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A sack of rice wieghs 50 kilos. What is the weight of 85 sacks of rice?
Answer:
4250 kilos
Step-by-step explanation:
The applet has eight pairs of triangles. Each group member should choose 1–2 pairs of triangles. Use them to help you answer the following questions.
Which pair(s) of triangles do you have?
Can each pair be composed into a rectangle? A parallelogram?
I don't have access to the applet you are referring to. Can you please provide more information or context about the applet so I can better assist you?
Jake and Rafael are training for a bike race. Jake is a beginner and starts by riding up a hill with a 7.9° incline. Rafael is more experienced and rides up a hill with an 18.3° incline. If Jake and Rafael ride 100 ft., how much more horizontal distance did Jake cover. A.4.1 ft. B.9.6 ft. C.17.7 ft. D. 19.2 ft.
Answer:
We can use trigonometry to solve this problem. The horizontal distance covered by each rider can be found by multiplying the distance they rode by the cosine of the angle of incline. The difference between the two distances will be the amount by which Jake covered less distance than Rafael.
For Jake:
Horizontal distance = distance * cos(angle of incline)
Horizontal distance = 100 ft * cos(7.9°)
Horizontal distance = 100 ft * 0.9925
Horizontal distance = 99.25 ft
For Rafael:
Horizontal distance = distance * cos(angle of incline)
Horizontal distance = 100 ft * cos(18.3°)
Horizontal distance = 100 ft * 0.9475
Horizontal distance = 94.75 ft
Difference in horizontal distance = 99.25 ft - 94.75 ft
Difference in horizontal distance = 4.5 ft
Therefore, Jake covered 4.5 ft more horizontal distance than Rafael. The closest option is A. 4.1 ft, but that is not the exact answer.
Step-by-step explanation:
hope this helps:)
Dingaka receives R12650R12650 when taking out a loan with an annual simple discount rate of 12,5%12,5%. The loan has to be repaid in eight months’ time. The amount that he has to repay is?
Dingaka took out a loan of R12650 with a simple annual discount rate of 12.5%. He has to repay R11595.83 in eight months, after deducting the simple discount of R1054.17.
To find the amount that Dingaka has to repay, we can use the formula for simple discount
Simple Discount = Principal * Rate * Time
Where Principal is the original amount borrowed, Rate is the annual simple discount rate, and Time is the time period in years.
We know that Dingaka received R12650 as the principal amount and the annual simple discount rate is 12.5%, which is equivalent to 0.125 as a decimal. The time period is 8/12 = 2/3 years, since the loan has to be repaid in eight months' time.
Plugging these values into the formula, we get
Simple Discount = 12650 * 0.125 * 2/3
= 12650 * 0.08333333
= 1054.166625
Therefore, the amount that Dingaka has to repay is the principal minus the simple discount, which is
Amount to Repay = Principal - Simple Discount
= 12650 - 1054.166625
= 11595.833375
So, Dingaka has to repay R11595.83 after eight months.
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You want to purchase a new car in 4 years and expect the car to cost $76,000. Your bank offers a plan with a guaranteed APR of 4.5if you make regular monthly deposits. How much should you deposit each month to end up with $76,000 in 4years?
Question content area bottom
Part 1
You should invest $
enter your response here each month.
- To purchase a new car in 4 years and expect the car to cost $76,000, you need to calculate how much money you need to deposit each month in a bank account that offers a guaranteed APR of 4.5%.
- You can use a formula called PMT to calculate the monthly deposit amount. PMT stands for payment and it is the amount of money you need to pay or deposit each period to achieve a certain future value.
- The formula for PMT is: PMT = ( FV * r) / [ ( (1+r)^n) - 1] where FV is the future value, r is the interest rate per period, and n is the number of periods.
- In your case, FV is $76,000, r is 0.045/12 (because the interest rate is 4.5% per year and there are 12 months in a year), and n is 4*12 (because you want to save for 4 years and there are 12 months in a year).
- Plugging these values into the formula, you get: PMT = (76000 * 0.00375) / [ ( (1+0.00375)^48) - 1] = 1449.72
- This means you should deposit $1449.72 each month to end up with $76,000 in 4 years.
I hope this helps you solve your problem.
Simplify the expression -2-17+12-(-14)
hurry 100 points and brainlyest
Step-by-step explanation:
k = a constant of proportionality
Putting m = 1kg, a = 1 ms-2
F becomes 1 N.
So, 1 N = 4 × 1kg × 1 ms-2
∴ k = 1
From equation (1), we have
F = ma
In the last ten years, the population of Brazil has grown at an exponential rate of 0.9% per year to 205,822,685. If this rate continues, what will be the population in 10 more years? (Simplify your answer completely. Round your answer to the nearest whole number.)
Answer:
To find the population of Brazil in 10 more years, we can use the formula for exponential growth:
A = P(1 + r)^t
where A is the final amount, P is the initial amount, r is the annual growth rate as a decimal, and t is the number of years.
We know that the current population of Brazil is 205,822,685, and the annual growth rate is 0.9%. We want to find the population in 10 more years, so t = 10. Plugging in these values, we get:
A = 205,822,685(1 + 0.009)^10
Simplifying this expression, we get:
A = 205,822,685(1.009)^10
A = 237,832,190.44
Rounding this to the nearest whole number, we get:
A = 237,832,190
Therefore, the population of Brazil in 10 more years will be approximately 237,832,190.
Step-by-step explanation:
A show box measures 15 in. by 7 in. by 4 1/2 in. What is the surface of the box?
The surface area of the box is 408 square inches whose dimensions of the box are 15 in. by 7 in. by [tex]4\frac{1}{2}[/tex] in.
The formula for the surface area of a rectangular box is:
Surface Area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the box.
Given that the dimensions of the box are 15 in. by 7 in. by [tex]4\frac{1}{2}[/tex] in., we have:
l = 15 in.
w = 7 in.
h = [tex]4\frac{1}{2}[/tex] in. = 9/2 in.
Substituting these values into the formula, we get:
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(15)(7) + 2(15)(9/2) + 2(7)(9/2)
Surface Area = 210 + 135 + 63
Surface Area = 408
Therefore, the surface area of the box is 408 square inches.
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If someone could help me out with this I would be really grateful
Answer:
Step-by-step explanation:
Blue line: 0 + -4<x
Black line: 8 - 7<7
Orange: 0=0>y
Green: 1-9<y
Starting points and ending
Enter the correct answer in the box.
What is the factored form of this expression?
2x^3+5x^2+6x+15
Write all factors in standard form.
Answer:
(2x + 5)(x² + 3)------------------
Given expression:
2x³ + 5x² + 6x + 15Group the expression as below and factorize:
2x³ + 5x² + 6x + 15 = (2x³ + 5x²) + (6x + 15) =x²(2x + 5) + 3(2x + 5) = (2x + 5)(x² + 3)Hence the factored form of the expression is (2x + 5)(x² + 3).
The factored form of the expression is,
⇒ (2x + 5)(x² + 3).
Given that;'
The expression is,
⇒ 2x³ + 5x² + 6x + 15
Now, Group the expression as below and factorize:
2x³ + 5x² + 6x + 15
(2x³ + 5x²) + (6x + 15)
x²(2x + 5) + 3(2x + 5)
(2x + 5)(x² + 3)
Hence, the factored form of the expression is (2x + 5)(x² + 3).
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The volume of a cone is 109.95 cubic inches and the height is 4.2 inches. What is the radius of the cone?
The calculated radius of the cone is 5 inches
What is the radius of the cone?From the question, we have the following parameters that can be used in our computation:
Volume = 109.95 cubic inches
Height = 4.2 inches.
The volume is calculated as
V = 1/3 * 3.14 * r^2h
So, we have
1/3 * 3.14 * r^2 * 4.2 = 109.95
So, we have
r^2 = 3 * 109.95/(4.2 * 3.14)
So, we have
r^2 = 25.01
Take the square roots
r = 5
Hence, the radius is 5 inches
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please tell methe cords of the answer
Answer:
(- 2, - 4 )
Step-by-step explanation:
4x - 3y = = 4 → (1)
3x + 3y = - 18 → (2)
adding the equations term by term will eliminate y
(4x + 3x) + (- 3y + 3y) = 4 - 18
7x + 0 = - 14
7x = - 14 ( divide both sides by 7 )
x = - 2
substitute x = - 2 into either of the 2 equations and solve for y
substituting into (2)
3(- 2) + 3y = - 18
- 6 + 3y = - 18 ( add 6 to both sides )
3y = - 12 ( divide both sides by 3 )
y = - 4
solution is (- 2, - 4 )
Graph the equation using the slope and the y-intercept.
To Graph the equation using the slope and the y-intercept is discussed below.
let us consider a equation of line slope intercept form is y= -1/2x - 1.
As, the general form of equation is
y= mx+ b
where m is the slope and b is y intercept
Here in the equation slope= -1/2 and intercept is -1.
To y intercept is value of y when x= 0 then the coordinate in the graph should be (0, -1).
Now, the slope show the change in y wrt to x here if 2 unit in x then 1 unit.
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New City Insurance Company offers a term life insurance policy with a renewable annual premium. The first year premium is $140. Premiums increase 6% each year. Round to the nearest cent. a. What will the premium be in the second year? b. What will the premium be in the third year? c. What will the premium be in the fifth year?
Which of the following functions are vertical translations of f(x)=√x?
Select all that apply.
A. K(x)=√√√-5+x
B. n(x) = -7+ √x
C. g(x)=√x -4
D. h(x)=3+√x
E. m(x)=√5x
The function that are vertical translations of f(x) are; (B), (C), and (D).
Given that f(x) = √x is the square root function.
We know that vertical translation of a function is a transformation that shifts the graph of the function up or down without changing its shape.
Option (A) K(x)=√√√-5+x is a vertical translation of f(x) because it shifts the graph of f(x) to the right by 5 and then applies three square root operations. so, it is not a vertical translation that shifts the graph up or down.
Option (B) n(x) = -7+ √x is a vertical translation of f(x) due to it shifts the graph of f(x) down by 7 units.
Option (C) g(x)=√x -4 is a vertical translation of f(x) since it shifts the graph of f(x) down by 4 units.
Option (D) h(x)=3+√x is a vertical translation of f(x) since it shifts the graph of f(x) up by 3 units.
Option (E) m(x)=√5x is not a vertical translation of f(x) since it involves multiplying the input of f(x) by a constant factor of 5.
Therefore, the options that are vertical translations of f(x) are; (B), (C), and (D).
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