Mrs. Nestler enjoys listening to classical music. She has the following audio CDs by her favorite composers in her collection: 4 by Bach, 6 by Beethoven, 3 by Brahms, and 2 by Handel. If she selects 4 CDs randomly from her collection without replacing them, what is the probability that she will choose one by each composer.

Answer: 200 ft²

Step-by-step explanation:

The area of a rectangle is length times width

So, simply do 25 * 8 = 200

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Answer:

A = 200 ft².

Step-by-step explanation:

Use the formula A = l × w to determine the area of a rectangle:

A = 25 × 8

Multiply:

A = 200 ft².

Answer:

E[N] = 1

Step-by-step explanation:

Here is the hint we are given on this problem - " Write N = [tex]1_{A_1}[/tex] + [tex]1_{A_2}[/tex] + · · · + [tex]1_{A_{ 13}[/tex]where [tex]A_k[/tex] is the event that a match occurs on deal k. "

_____

Now the standard thing is to do is let [tex]X_i[/tex] = 1, if there is a match on the [tex]i[/tex]-th pick and 0 otherwise. The number of matches is given to be [tex]X_1[/tex] + [tex]X_2[/tex] . . . + [tex]X_{13}[/tex]. Knowing that, we can use the linearity of expectation -

There are 13 cards and for [tex]i[/tex]-th pick, the probability of having a card with [tex]i[/tex] number is 1 / 13. Therefore, E[N] = E[[tex]X_1[/tex] + [tex]X_2[/tex] . . . + [tex]X_{13}[/tex]] = 1

_____

Solution: E[N] = 1

Answer:

A quadralateral is any shape that has 4 sides ...

Step-by-step explanation:

rectangle

square

rhombus

Answer: A quadrilateral is a two dimensional shape(closed) with four sides.

Step-by-step explanation: The sides do not have to be equal.

Square

Rectange

Trapazoid

Diamond

Any four sided shape. They will classify as a quadrilateral as long as two of the shapes are not the same.

Answer:

Step-by-step explanation:

16x^2 + 9 = 25

16x^2 = 16

x^2 = 1

x = 1, -1

Answer:

2

Step-by-step explanation:

we will find the discriminant of the equation

d = b^2  - 4ac (here, a = 1 , b = 3 , c = 1. from the general formula: ax^2 + bx + c)

d =  9 - 4

d = 5

since d > 0, the roots are real and different

hence, the both the roots of this equation are equal

Answer:

D. 564.44 cm^3

Step-by-step explanation:

V = (1/3)(pi)r^2h

V = (1/3)(3.14159)(7 cm)^2(11 cm)

V = 564.44 cm^3

Answer:

-143.68°F

Step-by-step explanation:

Celsius to Fahrenheit Conversion Formula: F = 1.8C + 32

Simply plug in c as -97.6:

F = 1.8(-97.6) + 32

F = -175.68 + 32

F = -143.68

Answer:

Fahrenheit= Celsius x 1.8 + 32

Step-by-step explanation:

-97.6 x 1.8 = -175.68

-175.68 + 32 = -143.68 / -143.7

Answer:

The sample proportion of bare ground spots is 0.4118

Step-by-step explanation:

The sample proportion of bareground spots is the number of bareground sports divided by the number of spots.

In this question

700 bareground spots

1700 spots

7/17 = 0.4118

The sample proportion of bare ground spots is 0.4118

Given data:

The formula will be:

→ [tex]Sample \ proportion = \frac{x}{n}[/tex]

By substituting the given values, we get

                                 [tex]= \frac{700}{1700}[/tex]

                                 [tex]= 0.4118[/tex]

Thus the response above is correct.  

Learn more about sample proportion here:

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Answer:

[tex]E(X^2)=32.5\\V(X)=7.5\\E[X(X-1)]=E(X^2)-E(X)\\V(X)=E(X^2)-[E(X)]^2[/tex]

Step-by-step explanation:

We have the following properties:

[tex]E( X + Y ) = E(X) + E(Y)\\V(X) = E(X^2)-[E(X)]^2[/tex]

So, if we have that E[X(X-1)] = 27.5, we can write them using the first property as:

[tex]E(X(X-1))=27.5\\E(X^2-X)=27.5\\E(X^2)-E(X)=27.5[/tex]

Then, replacing E(X) by 5 and solving for [tex]E(X^2)[/tex], we get:

[tex]E(X^2)-5=27.5\\E(X^2)=27.5+5\\E(X^2)=32.5[/tex]

Finally, using the second property and replacing [tex]E(X)[/tex] by 5 and [tex]E(X^2)[/tex] by 32.5, we get that V(X) is equal to:

[tex]V(X) = 32.5 - 5^2\\V(X) =32.5 - 25\\V(X) = 7.5[/tex]

Answer:

y ≤ 2/5x - .5

Step-by-step explanation:

Well it is a solid line with it shaded down meaning the inequality starts with

y ≤,

And by look at the y axis we can tell that the line crosses the y axis at -.5 which is the y intercept.

And by looking at the line we can tell the slope is 2/5.

Hence, the inequality is y ≤ 2/5x - .5

Answer:

Step-by-step explanation:

59 dollars

Answer:

here,

Left dollars+ paid dollars

= 50 dollars +9 dollars

=59 dollars

Hope this helps...

Good luck on your assignment..

Answer:

B

Step-by-step explanation:

Area of semicircle=(r^2×3.14)/2

=(4×3.14)÷2

=6.28

area of rectangle=3×4

12+6.28=18.28

perimeter of semicircle is =(d×3.14)/2

=4×3.14/2

6.28+3+3+4

6+10

perimeter=16.28

The area & perimeter of the figure are,

B.)  A≈18.28sq.inch & P≈16.28inch.

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

Here,

Area of semicircle=(r^2×3.14)/2

                             =(4×3.14)÷2

                             =6.28

area of rectangle=3×4=12

So, total area of the figure =12+6.28=18.28 sq. inch

Again, perimeter of semicircle is =(d×3.14)/2

                                                      =4×3.14/2

                                                      =6.28

Total perimeter of the figure =6.28+3+3+4

                                               =6.28+10

perimeter=16.28 inch

To learn more on Area click:

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Answer:

A temperature range is within 5 degrees of 60 degrees Fahrenheit

Step-by-step explanation:

As per the number line which has been given, the circular marks at the ends of the shaded area are also seen to be shaded, not blank. This means that the values on which these marks fall, 55 and 65, have to go along with the list. A, a temperature range within 5 degrees of 60 degrees

Fahrenheit is the only choice that suits this as 5 degrees below 60 degrees is 55 while 5 degrees higher than the degrees of 60 is 65

Answer:

the answer is A

Step-by-step explanation:

i did the test

Answer:

  C.  d = 24g

Step-by-step explanation:

The problem boils down to determining the ratio between d and g. That is, for some equation ...

  d = k·g

we want to determine the value of k. Solving the equation for that value, we find ...

  k = d/g

So, we need only to read a point from the graph with sufficient accuracy to determine a good estimate for k.

  (gallons, miles) = (g, d) = (5, 120) is a suitable point

Then ...

  k = d/g = 120/5 = 24

The equation is d = 24g.

Answer:

x = -48

Step-by-step explanation:

x/ 4 = -12

Multiply each side by 4

x/4 * 4 = -12 *4

x = -48

Answer:-48

Step-by-step explanation:x/4=-12

Cross multiply

X x 1 =-12 x 4

X=-48

Answer:

I believe it is D

Answer:

  The sum of 3 and the quotient of y and 2.

Step-by-step explanation:

The order of operations requires that you evaluate the expression ...

  3 + y ÷ 2

by first performing the division, then the addition. So, the addition gives you the sum of 3 and a quotient, because the quotient must be evaluated first.

The quotient is of y and 2 (not 2 and y), because the wording "the quotient of a and b" is always interpreted to mean a÷b.

So, the expression can be described as ...

  the sum of 3 and the quotient of y and 2.

Answer:

r= 0.19

Step-by-step explanation:

A= $708,050

P=$500,000

'' = 2

$708,050= $500,000(1+r)^2

-Divide $500,000 by both sides

1.4161= (1+r)^2

-Square Root on both sides

1.19= 1+r

-Subtract 1 on both sides

r= 0.19

Complete Question

The  complete question is shown on the first uploaded image

Answer:

The correct option is  A

Step-by-step explanation:

Now  from the question we are given the function

        [tex]f(x) = \frac{10^{2 x} -4}{x}[/tex]

Now  as  [tex]\lim_{x \to 0} [f(x) ] = \frac{10^{2*0} -4 }{0}[/tex]

       =>    [tex]\lim_{x \to 0} [f(x) ] = - \infty[/tex]

This  implies that as [tex]x\to 0[/tex] the function [tex]f(x) \to -\infty[/tex] which means that at  x = 0  the function is not continuous  

Answer:

a) 50S + 30C ≤ 800

b) 1) MAX = S + C

   2) Max = 0.03S + 0.05C

   3) Max = 6S + 5C

Step-by-step explanation:

Given:

Total space = 800 square feet

Each sofa = 50 square feet

Each chair = 30 square feet

At least 5 sofas and 5 chairs are to be displayed.

a) Write a mathematical model representing the store's constraints:

Let S denote number of sofas displayed and C denote number of chairs displayed.

The mathematical model will be:

50S + 30C ≤ 800

At least 5 sofas are to be dispayed: S ≥ 5

At least 5 chairs are to be displayed: C ≥ 5

b)

1) Maximize the total pieces of furniture displayed:

S + C = MAX

2) Maximize the total expected number of daily sales:

MAX = 0.03S + 0.05C

3) Maximize the total expected daily profit:

Given:

Profit on sofas = $200

Profit on chairs = $100

Max Expected daily profit =

Max = (200S * 0.03) + (100C * 0.05)

Max = 6S + 5C

Answer:

C. 57 degrees.

Step-by-step explanation:

It's a line, so it adds to 180 degrees. The interior angle is 180 - 114 = 66 degrees.

A triangle adds up to 180 degrees. Subtract 66 to get 114 degrees. This means the two remaining angles in the triangle add up to 114 degrees. Since they are identical (both are the same because they use the same variable), you can divide 114 by two.

The final answer is 57 degrees.

Let me know if you have any questions.

Answer:

The probability of a student receiving a C in the course is p=0.3.

Step-by-step explanation:

We have a absolute frequency for each of the grades (A to F), of a total of 300 course tests.

It is assumed that this sample gives a dood estimation of the distribution of the grades. Then, we can estimate the probability of obtaining a C in the course usign the relative frequency for C.

The relative frequency is calculated as the division between the absolute frequency (in this case, 90 for a C grade) and the size of the sample (in this example, 300).

[tex]p_C=\dfrac{X_C}{N}=\dfrac{90}{300}=0.3[/tex]

Answer:

B and E

Step-by-step explanation:

A terminating decimal is a decimal with a finite number of digits after the decimal point. If we input all of these fractions into a calculator, or solve them by hand, we find that B is equal to 2.5, and E is equal to 0.375, and all the others are repeating decimals.

Hi !!

For f(x) = 3/x + 4 , B is correct.

• f(-3) = 3/(-3) + 4

f(-3) = - 1 + 4

f(-3) = 3

• f(-2) = 3/(-2) + 4

f(-2) = -1,5 + 4

f(-2) = 2,5

• f(1) = 3/(1) + 4

f(1) = 3 + 4

f(1) = 7

• f(2) = 3/(2) + 4

f(2) = 1,5 + 4

f(2) = 5,5

• f(3) = 3/(3) + 4

f(3) = 1 + 4

f(3) = 5

Answer:

628

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 12 - 1 = 11

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 11 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.2

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.2\frac{59}{\sqrt{12}} = 37[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 665 - 37 = 628 hours.

The answer is 628

Answer:

There are about 3.281 * 3.281 = 10.764 square feet in one square meter. Therefore, 22.5 square feet is 22.5 / 10.764 = 2.09 square meters.

Answer:

A) P(1) = 0.2

B) P(greater than or equal 3) = 0.4

C) P(4) = 0.1

D) P(0) = 0.1

E) [tex]\mu_y = 0.2[/tex]

F) [tex]\sigma = 0.089[/tex]

Step-by-step explanation:

A)

to find P(1) we see in the table the value of P(x) when x is equal to 1.

when x=1, we have that P(x) = 0.2, therefore P(1) = 0.2

B)

To find P(greather than or equal 3), we just need to find P(3) and P(4), and sum their values. Seeing in the table, we have that P(3) = 0.3 and P(4) = 0.1, so:

P(greater than or equal 3) = P(3) + P(4) = 0.3 + 0.1 = 0.4

C)

All four tires having low air pressure is represented by the value of x equal 4, so we have to find P(4). Seeing in the table, we have that P(4) = 0.1

D)

No tires having low air pressure is represented by the value of x equal 0, so we have to find P(0). Seeing in the table, we have that P(0) = 0.1

E)

To find the mean of P(x) we just need to sum all the values and divide by the number of values:

[tex]\mu_y = (0.1 + 0.2 + 0.3 + 0.3 + 0.1)/5 = 1/5 = 0.2[/tex]

F)

The formula to calculate the standard deviation is:

[tex]\sigma = \sqrt{\frac{1}{N}\sum(x_i-\mu)^2}[/tex]

[tex]\sigma = \sqrt{\frac{1}{5}((0.1-0.2)^2+(0.2-0.2)^2+(0.3-0.2)^2+(0.3-0.2)^2+(0.1-0.2)^2)}[/tex]

[tex]\sigma = \sqrt{\frac{1}{5}(0.01+0+0.01+0.01+0.01)}[/tex]

[tex]\sigma = 0.089[/tex]

Answer:

Last option

Step-by-step explanation:

Since it is asking for the limit of infinity, when we go to infinity, the graph also goes to infinity.

Answer:

Option D

Step-by-step explanation:

all lines are going from negative infinity to positive infinity

Answer:

,.........................................................

Answer:

Use an xy chart and graph the equation.

Step-by-step explanation: