Need help on this please

Answer:

The expected rate of return is 6.3%.

The standard deviation is of 11.29%.

Step-by-step explanation:

Expected rate of return

Multiply each rate by its probability. So

[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]

The expected rate of return is 6.3%.

Standard deviation:

Square root of the difference squared between each value and the mean, multiplied by the probability. So

[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]

The standard deviation is of 11.29%.

Answer:

8

Step-by-step explanation:

Since this is a rectangle, the opposite sides are congruent.

So the lengths of DG and EF are equal

3x + 5 = 29

3x = 29 - 5

3x = 24

x = 24/3

x = 8

Answer:

2.308 m/s^2

Step-by-step explanation:

F = ma

30 N = (13 kg)a

---> a = 2.308 m/s^2

Answer:

0.0062 = 0.62% probability that the sample mean is less than $650.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of $675 and a standard deviation of $80.

This means that [tex]\mu = 675, \sigma = 80[/tex]

A random sample of 64 families in this city paying for childcare is selected.

This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]

Find the probability that the sample mean is less than $650.

This is the pvalue of Z when X = 650.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{650 - 675}{10}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

0.0062 = 0.62% probability that the sample mean is less than $650.

The probability that the sample mean is less than $650 is 0.62%.

The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]

From the normal distribution table:

P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%

The probability that the sample mean is less than $650 is 0.62%.

Find out more at: https://brainly.com/question/15016913

Answer:

Your solution is (-3,0)

Step-by-step explanation:

Hi,

We know what Y is, so we can plug it into the second equation.

2x + y = -6

2x + (x + 3) = -6

Now, add the like terms...

3x + 3 = -6

3x = -9

x = -3

Now, plug x back in to find y.

y = x + 3

y = (-3) + 3

y = 0

Your solution is (-3,0)

Hope this helps :)

Answer:

0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 36 miles per day.

This means that [tex]\mu = 90, \sigma = 36[/tex]

Find the probability that a truck drives less than 118 miles in a day.

This is the pvalue of Z when X = 118. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{118 - 90}{36}[/tex]

[tex]Z = 0.78[/tex]

[tex]Z = 0.78[/tex] has a pvalue of 0.7823

0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.

Answer:

The video is blocked but you can type your question on here1

Step-by-step explanation:

Answer:

10/7= $1.43 per kg

...........

0.7 kg = $1

7 kg - $10

? kg - $1

7 / 10 = 0.7

0.7 kg = $1

Let me know if I did something wrong :)

Answer:

D. 28.26 in²

Step-by-step explanation:

Area of a circle= πr²

r= 3

π= 3.14

A= (3.14)(3)²

A= 28.26 in²

Answer:

Answer is B

Step-by-step explanation:

Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).

To determine which of the given ordered pairs must be an ordered pair of the inverse of f(x), we need to find the inverse function of f(x) and check which ordered pair satisfies the inverse function.

Given that (3, -5) is an ordered pair of the function f(x), it means that f(3) = -5.

Now, let's find the inverse function of f(x) by swapping the x and y variables and solving for y:

x = f(y)

Substituting f(3) = -5:

3 = f(y)

Therefore, the inverse function of f(x) is y = 3.

Now, let's check which of the given ordered pairs satisfies the inverse function:

- For (3, -5):

When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, -5) does not satisfy the inverse function.

- For (3, 5):

When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, 5) does not satisfy the inverse function.

- For (-5, 3):

When we substitute x = -5 into the inverse function y = 3, we get y = 3. Therefore, (-5, 3) satisfies the inverse function.

- For (5, -3):

When we substitute x = 5 into the inverse function y = 3, we get y = 3. Therefore, (5, -3) satisfies the inverse function.

Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).

Learn more about inverse function at https://brainly.com/question/3831584

#SPJ2

Answer:

Circle on the left: 30 ft Circle in the middle: 4m Circle on the right: 10 mm

Step-by-step explanation:

I got these answers by multiplying the radius by 2. In the problem, they gave you the radius. The diameter is r*2, so that is how I got my answers.

Answer:

1. I think 30ft 2. I think 4m 3.I think 10mm

Answer: E) 9

Step-by-step explanation:

1.12/4 = 0.28

2.52/0.28 = 9

Answer:

9

Step-by-step explanation:

To find how much each apple costs, you have to divide the price by how many apples he brought.

1.12/4 = 0.28

Each apple costs $0.28

Now, you have to divide 2.52 by 0.28.

2.52/0.28 = 9

He can buy 9 apples at the same price with $2.52.

Answer:

8,2

Step-by-step explanation:

Answer:

y = 3x + 5

Step-by-step explanation:

slope:

11 - (-1) / 2 - (-2) = 12/4 = 3

slope intercept form is y = mx + b, so right now you have m = 3:

y = 3x + b

now, since you know x = -2 and y =-1 is a solution, you can plug those values in:

-1 = 3 * -2 + b

-1 = -6 + b

5 = b

This means the equation is y = 3x + 5

Answer:

5/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-(-4))/(2-(-2))

m=(6+4)/(2+2)

m=10/4

simplify

m=5/2

Answer:

ega caava 68=46

Step-by-step explanation:

tura pu ka dakkia chu la

Answer:

Subtract

12

from both sides of the equation.

x

2

+

y

2

−

12

x

+

2

y

=

−

12

Complete the square for

x

2

−

12

x

.

Tap for more steps...

(

x

−

6

)

2

−

36

Substitute

(

x

−

6

)

2

−

36

for

x

2

−

12

x

in the equation

x

2

+

y

2

−

12

x

+

2

y

=

−

12

.

(

x

−

6

)

2

−

36+y2+2y=−12

Move

−36

to the right side of the equation by adding

36

to both sides.

(x−6)2+y2+2y=−12+36

Complete the square for

y2+2y.

Tap for more steps...

(y+1)2−1

Substitute

(y+1)2−1

for

y2+2y

in the equation

x2+y2−12x+2y=−12.

(x−6)2+(y+1)2−1=−12+36

Move

−1

to the right side of the equation by adding

1

to both sides.

(x−6)2+(y+1)2=−12+36+1

Simplify

−12+36+1.

Tap for more steps...

(x−6)2+(y+1)2=25

This is the form of a circle. Use this form to determine the center and radius of the circle.

(x−h)2+(y−k)2=r2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r=5 h=6 k=−1

The center of the circle is found at

(h,k).

Center:

(6,−1)

These values represent the important values for graphing and analyzing a circle.

Center: (6,−1)

Radius:

5

image of graph

Step-by-step explanation:

Answer:

A) (x+6)^2 + (y-1)^2 =49

B) (-6, 1)

C) Radius of 7

D) I’ll try to add picture

Step-by-step explanation:

hotomath

The percentage of the trip that is still ahead of you is 69.2%.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

You are going to visit your aunt who lives 25 miles away. You have already traveled 7.7 miles.

The percentage of the trip that is still ahead of you is calculated as,

P = [(25 - 7.7) / 25] x 100

P = (17.3 / 25) x 100

P = 0.692 x 100

P = 69.2%

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

[tex]x^2 + 1^2 = y^2[/tex]

Differentiate w.r.t time (t)

[tex]2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}[/tex]

[tex]2x\frac{dx}{dt} = 2y\frac{dy}{dt}[/tex]

Divide both sides by 2

[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]

From the question, we have that the plan travels are 510mi/h.

This implies that:

[tex]\frac{dx}{dt} = 510mi/h[/tex]

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

[tex]y = 2mi[/tex]

Apply Pythagoras theorem

[tex]x^2 + 1^2 = y^2[/tex]

[tex]x^2 + 1^2 = 2^2[/tex]

[tex]x^2 + 1 = 4[/tex]

[tex]x^2 = 4-1[/tex]

[tex]x^2 = 3[/tex]

[tex]x = \sqrt 3[/tex]

So, the expression becomes:

[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]

[tex]\sqrt 3 * 510 = 2* \frac{dy}{dt}[/tex]

[tex]\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}[/tex]

[tex]\sqrt 3 * 255 = \frac{dy}{dt}[/tex]

[tex]\frac{dy}{dt} = 255\sqrt 3[/tex]

[tex]\frac{dy}{dt} = 255 * 1.7321[/tex]

[tex]\frac{dy}{dt} = 441.655[/tex]

[tex]\frac{dy}{dt} = 442[/tex]

Hence, the distance is 442 miles

Answer:

Graph the line y = -2.

Step-by-step explanation:

A line with zero slope is a horizontal line.  Find (0, -2) on the y-axis and draw a horizontal line through it.  This will fully address this question.

Answer:

15/2 or 7.5 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{6}{15} = \frac{3}{x}[/tex]

simply cross multiply

[tex]6x = 45[/tex]

divide both sides by 6

[tex]\frac{6x}{6} = \frac{45}{6}[/tex]

hence x will be equal to [tex]7.5[/tex]

Is it required to for it to be in decimals?

Answer:

3

Step-by-step explanation:

5/2⋅=15/2⋅=3

here you go! hopefully this helps :))

Answer:

constant: -6

Coefficient: -1

Variable: x

Step-by-step explanation: