r = the number of racks

s = the number of shoes

Which of the variables is independent and which is dependent?

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=−2

hope this is what your looking for

Answer:

x = -2

Step-by-step explanation:

\(-4+x=\frac{3}{4}x-\frac{9}{2}\)

\(\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\)

\(-4+x+4=\frac{3}{4}x-\frac{9}{2}+4\)

\(Simplify\)

\(x=-\frac{1}{2}+\frac{3}{4}x\)

\(\mathrm{Subtract\:}\frac{3}{4}x\mathrm{\:from\:both\:sides}\)

\(x-\frac{3}{4}x=-\frac{1}{2}+\frac{3}{4}x-\frac{3}{4}x\)

\(\frac{1}{4}x=-\frac{1}{2}\)

\(\mathrm{Multiply\:both\:sides\:by\:}4\)

\(4\cdot \frac{1}{4}x=4\left(-\frac{1}{2}\right)\)

\(x=-2\)

~lenvy~

Answer:

Exact: 3 2/9

Estimated: 3

Step-by-step explanation:

1/3=3/9, so just convert it to that, then do some simple subtraction.

Answer:

15.6

Step-by-step explanation:

you have to use the equation sin15= x/24, then you'll multiply 24 by sin15 to get x by itself. Then, you use a calculator to get 15.6 (btw. i rounded to the nearest tenth

Answer:

$3827.00

Step-by-step explanation:

To calculate the total compound amount at the end of six years with an interest rate of 1.5% compounded annually, we can use the formula for compound interest:

A = P * (1 + r/n)^(n*t)

Where:

A = Total compound amount

P = Principal amount (initial investment)

r = Annual interest rate (as a decimal)

n = Number of times interest is compounded per year

t = Number of years

In this case:

P = $3500

r = 1.5% = 0.015 (as a decimal)

n = 1 (compounded annually)

t = 6 years

Substituting these values into the formula, we have:

A = 3500 * (1 + 0.015/1)^(1*6)

Calculating this expression, we get:

A ≈ 3500 * (1.015)^6 ≈ 3500 * 1.093717 ≈ 3827.00

Rounding the total compound amount to 2 decimal places, the final value is approximately $3827.00

Answer:

495 ways

Step-by-step explanation:

Step one:

we will use the combination formula to solve for the number of ways

given

n= 12

r=4

the formula for the combination is

C(n,r)=(nr)=n!/(r!(n−r)!)=]

Step two:

substituting we have

C(12,4)=(nr)=12!/(4!(12−4)!)=

C(12,4)=(nr)=12!/(4!(8)!)=

C(12,4)=(nr)=12*11*10*9*8!/(4!(8)!)=

C(12,4)=(nr)=12*11*10*9/4!

C(12,4)=(nr)=12*11*10*9/4*3*2*1

C(12,4)=(nr)=11880/24

C(12,4)=(nr)=495ways

the number of ways is 495 ways

a) The average rate of change is -0.6333.

b) For $500 after the inflation rate from 1917 to 1920 the worth will be 242.20631771406.

The rate of change (ROC) measures how quickly a variable alters over a predetermined amount of time.

Given:

a) The average rate of change

= (15.9- 17.8)/ (1920 - 1917)

= -1.9 / 3

= -0.6333

So, the equation can be

y = -0.6333x + b

and, 17.8 = -0.63333(1917)+ b

b= 1231.79

So, y= -0.6333x + 1231.79

b) For $500 after the inflation rate from 1917 to 1920 the worth will be 242.20631771406.

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Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

The expected value of x is 1.4

From the question, we have the following parameters that can be used in our computation:

X0123f(x)0.20.30.40.1

Rewrite properly

So, we have

X   0       1         2    3

f(x) 0.2  0.3   0.4    0.1

The expected value is calculated as

E(x) = Sum of the products of x and f(x)

Substitute the known values in the above equation, so, we have the following representation

E(x) = 0 * 0.2 + 1 * 0.3 + 2 * 0.4 + 3 * 0.1

Evaluate

E(x) =  1.4

Hence, the expected value is 1.4

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Answer:

I'm sorry no one answered this in time. I know it sucks. Have great day! Owa Owa!

Step-by-step explanation:

Answer:sin(A+B) = sinAcosB+sinBcosA

if cosA = 9/41 then sinA =j40/41 It's a 9-40-41 right triangle

if tanB =21/20 then sinB =21/29 and cosB= 20/29 It's a 20-21-29 right triangle

plug those values into 1st equation above

sin(A+B) = 40/41(20/29) + 21/29(9/41) = ((40)20 + (21)9))/29(41) = (800+189)/1189 = 989/1189 = 0.832

or you could have just found A and B initially. cosA = 9/41 means A = 77.32 degrees

tanB = 21/20 means B = 46.4

A+B = 123.72

sin(123.72) = 0.832

Exact answer though without rounding is sin(A+B) = 989/1189

Step-by-step explanation:

Answer:

Yes, I can help you simplify that expression.

Starting with the expression:

p(p-2) x (2/p)

You can simplify it by first multiplying the terms in the first set of parentheses:

p(p-2) = p^2 - 2p

Then you can rewrite the second term as a fraction with a common denominator of p:

2/p = 2p/p^2 = 2/p^2

Now the expression becomes:

(p^2 - 2p) x (2/p^2)

Next, you can factor out a 2 from the first set of parentheses:

2p(p - 1) x (2/p^2)

Finally, you can simplify the expression by canceling out the p in the second fraction:

2(p - 1)

So the simplified expression is 2(p - 1).

Answer:

exponential graph

Step-by-step explanation:

it is a exponential graph the is negative ,if you substitute x values and find the points to plot you'll see how it is plotted

Answer:

See graph

Step-by-step explanation:

The graph of any function can be identified by making an x-y table.

Choose some values for x (often -2, -1, 0, 1, 2)

f(-2) = - 2^(-2) = - 1/4

f(-1) =  - 2^(-1) = - 1/2

f(-0) =  - 2^(-0) = - 1

f(1) =  - 2^(1) = - 2

f(2) =  - 2^(2) = - 4

Answer:There is no association.The percent of students who plan to attend college is the same for both age groups and It is not possible to determine

wether there is an association between age....

Answer:

There is no association. The percent of students who plan to attend college is the same for each age category.

Step-by-step explanation:

I did it on TTM

Answer:

a. The first six terms are:

-7, -4, -1, 2, 5, 8

b. The first six terms are:

0, 2, 0, 2, 0, 2.

c. The first six terms are:

4, 8, 24, 96, 480, 2880

Step-by-step explanation:

a. an - 3n - 10

For n = 1

a1 = 3(1) - 10

= -7

For n = 2

a2 = 3(2) - 10

= -4

For n = 3

a3 = 3(3) - 10

= -1

For n = 4

a4 = 3(4) - 10

= 2

For n = 5

a5 = 3(5) - 10

= 5

For n = 6

a6 = 3(6) - 10

= 8

The first six terms are:

-7, -4, -1, 2, 5, 8

b. an= (1+(-1)^n)^n

For n = 1

a1 = (1+(-1)^1)^1

= 0

For n = 2

a2 = (1+(-1)^2)^1

= 2

For n = 3

a3 = (1+(-1)^3)^1

= 0

For n = 4

a4 = (1+(-1)^4)^1

= 2

For n = 5

a5 = (1+(-1)^5)^1

= 0

For n = 6

a6 = (1+(-1)^6)^1

= 2

The first six terms are:

0, 2, 0, 2, 0, 2.

c. an= 2n! (2)

For n = 1

a1 = 2(1!)(2)

= 4

For n = 2

a2 = 2(2!)(2)

= 8

For n = 3

a3 = 2(3!)(2)

= 24

For n = 4

a4 = 2(4!)(2)

= 96

For n = 5

a5 = 2(5!)(2)

= 480

For n = 6

a6 = 2(6!)(2)

= 2880

The first six terms are:

4, 8, 24, 96, 480, 2880

Answer:

see below

Step-by-step explanation:

Given:

Binomial 7 - 25f

Answer:

1.5d+5s+1.25c=29

Step-by-step explanation:

let d be the number of drinks, s be the number of sandwich, and c be the number of chips Lee purchased.

1.5×d and 5×s and 1.25×c must total 29, or

1.5d+5s+1.25c=29.

Answer:

Step-by-step explanation:

10. m-56

11. 4r+3

Answer:

6/25

Step-by-step explanation:

its a probability  out of all the odd numbers such as 1,3,5,7,9,11,13,15,17,19,21,23,25

Answer:

19.4 liters

Step-by-step explanation:

You get 19.4 by multiplying 9.7 by 2 which = 19.4

Answer:

19.4

Step-by-step explanation:

The reason is because If one fish tank holds 9.7 liters. Then you will need to double that to get how many 2 liters is.

The difference (Dogs – Cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.054 from the true difference in proportions.

The third option is correct.

What is the standard deviation?

Standard deviation is a statistical measure of the spread of a dataset, defined as the square root of its variance. It is a way to quantify the amount of variation or dispersion of a set of data values.

Percentage of Dogs getting their teeth cleaned = 48% = pD

Percentage of Cats getting their teeth cleaned = 35% = pC

Number of Dogs selected = nD = 25

Number of Cats selected = nc = 32

As the sample sizes are large enough, we can apply Central Limit Theorem

According to Central Limit Theorem for proportions –

pD-hat ~ Normal(pD, {pD*(1-pD)}/nD)

Thus, pD-hat ~ Normal(0.48, 0.009984)

Similarly,

pC-hat ~ Normal(pC, {pC*(1-pC)}/nC)

Thus, pC-hat ~ Normal(0.35, 0.0071094)

Now if X ~ N(E(X), Var(X)) and Y ~ N(E(Y), Var(Y))

then X -Y ~ N(E(X)-E(Y), Var(X)-Var(Y)) (If X and Y are Independent)

Thus,

pD-hat - pC-hat ~ Normal(0.48-0.35, 0.009984 – 0.0071094)

pD-hat - pC-hat ~ Normal(0.13, 0.0028746)

Thus, Standard Deviation of pD-hat - pC-hat = (0.0028746^0.5) = 0.0536 that is 0.054 approximately

Hence, the difference (Dogs – Cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.054 from the true difference in proportions.

Third Option is correct.

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Answer:

200mm

Step-by-step explanation:

200mm can be rewritten as 20 cm

a womans hand is on average 17.3 cm

this is the closest estimate out of the three

From the table , the insurance cost for the second year based on the prescription given is : $1329

Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .

The operating cost in insurance for the second year is therefore $1329.

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Answer:

32%

Step-by-step explanation:

too lazy to type it out.

Answer:

32%.

Step-by-step explanation:

Value in 2019 = 800 + 10% of 800

= 800 + 0.1*800

=  $880.

In 2020 , value

=  880 + 0.2*880

=  $1056.

Increase in value over 2 years = 1056 - 800 = $256.

% increase = 100 * 256/800

= 32%.

The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of the angle opposite that side is the same for all sides and angles. In other words, if a, b, and c are the lengths of the sides of a triangle, and A, B, and C are the angles opposite those sides, then we have:

a/sin(A) = b/sin(B) = c/sin(C)

In the given triangle, we are given the values of B and c, so we can use the Law of Sines to find the other side lengths and angles. We have:

a/sin(A) = c/sin(C)

Since c = 43 and C = 135°, we can plug these values into the equation to find a:

a/sin(A) = 43/sin(135°)

To find the value of a, we just need to solve for a by multiplying both sides of the equation by sin(A). We have:

a = 43 * sin(A) / sin(135°)

We know the value of B, so we can use the Law of Sines again to find the value of A:

sin(A) / a = sin(B) / b

Since B = 8° and b is unknown, we can plug these values into the equation to find a:

sin(A) / a = sin(8°) / b

To find the value of A, we just need to solve for A by dividing both sides of the equation by sin(A)/a. We have:

A = asin(8°) / b

Now that we know the values of A and c, we can use the Law of Sines one more time to find the value of b:

sin(A) / a = sin(B) / b

Since A and a are unknown, we can plug the known values into the equation to find b:

sin(A) / a = sin(B) / b

To find the value of b, we just need to solve for b by multiplying both sides of the equation by sin(B)/b. We have:

b = sin(B) / (sin(A) / a)

At this point, we have all the necessary values to compute the values of a, A, and b. We can plug the known values into the equations we derived above to find the unknown values.

First, let's find the value of a:

a = 43 * sin(A) / sin(135°)

We know the values of A and B, so we can plug these values into the equation to find a:

a = 43 * sin(A) / sin(135°)

  = 43 * sin(180° - C - B) / sin(135°)

  = 43 * sin(180° - 135° - 8°) / sin(135°)

  = 43 * sin(37°) / sin(135°)

To compute the value of sin(37°), we can use a calculator or look up the value in a table of sines.

Answer:

The minimum exam score to be awarded an A is about 8.52.

Step-by-step explanation:

Let X represent the scores on a common final exam.

It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.

It is provided that according to the department policy is that the top 10% of students receive an A.

That is, P (X > x) = 0.10.

⇒ P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The corresponding z-score is:

z = 1.28

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)

Thus, the minimum exam score to be awarded an A is about 8.52.

Answer:

V = V = 175 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V =pi ( 5)^2 ( 7)

V = 175 pi units^3

Answer:

C

Step-by-step explanation:

16 times 0.5x equals 8x.

16 times -0.75 equals -12y, so this means A and D are incorrect.

16 times 2 is 32, so this means that B is wrong, for you must multiply each number in the parentheses by 16.

Hope that helps :)

Answer:

(9/2, 4/3) or just x = 9/2, y = 4/3. (it's the same thing)

Step-by-step explanation:

First, multiply the first equation 2x + 3y = 13 by 2, so that you get 4x + 6y = 26. Now you have the same coefficient for y. Now, subtract the second equation 6y = 8 (i simplified it first) from the first one that is doubled. After that, you would have just one equation, 4x = 18. So x = 18/4 = 9/2. Substitute x to solve for y, and you'd get 4/3.

9514 1404 393

Answer:

  (x, y) = (-6, 8 1/3)

Step-by-step explanation:

The system of equations appears to be ...

Dividing the first equation by 2 gives ...

  3x +3y = 7

Subtracting the first equation from this, we get ...

  (3x +3y) -(2x +3y) = (7) -(13)

  x = -6

Then substituting for x in the first equation, we have ...

  2(-6) +3y = 13

  3y = 25 . . . . . . . . add 12

  y = 25/3 = 8 1/3 . . . . divide by 3

The solution is (x, y) = (-6, 8 1/3).

Answer:

487.20

Step-by-step explanation:

1. find the area of a rectangle ( length x width)

14ft x 12ft = 168ft²

2. Multiply the number of feet needed to becovered by the price of one foot of paper

168ft x 2.90 = 487.20

Answer:

26/3 or 8 2/3

Step-by-step explanation:

= 13/5 x 10/3

= 13 x 10

  5  x  3

= 130/5

= 26/3

= 8 2/3