Solve for the variable:
6f + 21 = -15

Answer:

John answered 50 questions.

Step-by-step explanation:

Although five of John's answers were incorrect, 90% of his answers were correct.

This means that 5 is 100 - 90% = 10% of the total number of questions, n. So

[tex]0.1n = 5[/tex]

[tex]n = \frac{5}{0.1}[/tex]

[tex]n = 50[/tex]

John answered 50 questions.

Answer:

315

Step-by-step explanation:

180+((75/100)x180)=

180+(3/4 x 180)=

180+135=

315

Answer:

315 inches

Step-by-step explanation:

180 × .75 = 135

Answer:

Step-by-step explanation:

For |x|=5, x can be either 5 or -5.

For |x|=-5, absolute value cannot be negative, so it is no solutions.

Answer:

0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Fibers are chosen without replacement, which means that we use the hypergeometric distribution.

92 fibers means that [tex]N = 92[/tex]

Sample of 10 means that [tex]n = 10[/tex]

No polymeter B which means that [tex]x = 0[/tex]

17 fibers of polymeter B which means that [tex]k = 17[/tex]

a. What is the probability that the sample does not contain any fibers of polymer B

This is P(X = 0).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,92,10,17) = \frac{C_{17,0}*C_{75,10}}{C_{92,10}} = 0.1150[/tex]

0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B

The probability that the sample does not contain any fibers of polymer B is 0.123

The given parameters are:

n = 92

A = 43

B = 17

C = 32

The probability of selecting a sample that contains polymer B is:

[tex]p = \frac{17}{92}[/tex]

[tex]p = 0.185[/tex]

Using binomial probability, we have:

[tex]P(x) = ^nC_x * p^x *(1 - p)^{n -x}[/tex]

The probability that a selection of 10 fibers do not contain polymer B is then calculated as:

[tex]P(0) = ^{10}C_0 * 0.185^0 *(1 - 0.185)^{10 -0}[/tex]

This gives

[tex]P(0) = 1 * 1 *(0.815)^{10}[/tex]

Evaluate the product

[tex]P(0) = 0.123[/tex]

Hence, the probability that the sample does not contain any fibers of polymer B is 0.123

Read more about probability at:

https://brainly.com/question/25870256

Answer:

176.00 cm^2

Hope you got the answer.

Answer:

Hope this helps :D

Step-by-step explanation:

The simplified form of the given expression is x-z-3.

The given expression is 8z + x -5 - 9z + 2.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is written in simplified form is as follows

Group the like terms

8z - 9z + x -5 + 2

= -z+x-3

= x-z-3

Hence, the simplified form of the given expression is x-z-3.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

Answer:

isosceles triangle

Step-by-step explanation:

Answer:

Least:  14%

Next:  0.15

Next:  1/5

Next:  24%

Greatest:  27/100

Step-by-step explanation:

If you put them all into decimal form they are:

.14, .15, .20, .24, .27

Answer:

Step-by-step explanation:

The mean of the sampling distribution is equal to the mean of the population. Therefore, we use the standard deviation of the sampling distribution of the means formula. 

                  The standard deviation of the sampling distribution of the means is 2.656. 

With a new population standard deviation of 2.8, the sampling size, n, is 9. 

Answer: 16.1

Step-by-step explanation:

Answer: y=8

Step-by-step explanation:

Answer:

Y = 8

Step-by-step explanation:

Answer:

The smaller shape has 84% of the larger shape's area.

Step-by-step explanation:

Larger shape: 15 × 12 = (12 × 3) + (12 × 12) = 36 + 144 = 150 + 30 = 180

Smaller shape: 6 × 4.8 = (6 × 4) + (6 × 0.8) = 24 + 4.8 = 28.8

The percent difference is the absolute value of the quotient of the difference between the new value and the original value divided by the original value and then all multiplied by 100. (percentages are really just a fraction of 100)

[tex]|\frac{28.8-180}{180}|*100=|\frac{-151.2}{180}|*100=|-0.84|*100=0.84*100=84[/tex]

% difference = 84%

Hope this helps! Have a great day!

l4legitv3, I know you're really mad at me for getting your alternate account banned. I'm sorry. I only did that because you were acting rude, and I don't like that. I'm tired of being chased all over the place for getting someone banned. I'm willing to become your friend if you'll stop reporting me for that incident. Let's put the past in the past, 'kay?

Answer:

hexaedro

ahí esta la respuesta

Answer:

8

Step-by-step explanation:

its somethings difficult

Answer:

25 nickle and 30 quarters

Step-by-step explanation:

30 time .25 is 7.5 and 25 times .05 is 1.25 so yea thats it

Answer:

25 nickels 30 quarters

Step-by-step explanation:

Im pretty sure its D

Answer:

The answer is D

Step-by-step explanation:

Answer:

24=5y+3y

8y=24

y=3

x+x+9y+5=90

2x+9(3)+5=90

2x=58

x=29

Step-by-step explanation:

Answer:

[tex]d = 9[/tex]

Step-by-step explanation:

Given

[tex]Morning = -7^{\circ}C[/tex]

[tex]Afternoon = 2^{\circ}C[/tex]

Required

What represent the difference

The expression that represents the difference (d) are:

[tex]d = |Morning - Afternoon|[/tex]

Substitute values for Morning and Afternoon

[tex]d = |-7 - 2|[/tex]

[tex]d = |-9|[/tex]

[tex]d = 9[/tex]

Answer:

30%

Step-by-step explanation:

Percentage discount

[tex] = \frac{discount}{original \: price} \times 100\% \\ = \frac{5 - 3.50}{5} \times 100\% \\ = 30\%[/tex]

☆ Discount= original price -selling price

Answer:

it is either the dice or the cups

Step-by-step explanation:

Answer:

cups

Step-by-step explanation:

i might be wrong

Answer:

2029jjajvdjsjsvdghsjsjbs

Answer:

Answer:

Step-by-step explanation:

Thanks for free points!

Answer:

5

Step-by-step explanation:

5 square, which means 5 multiplied by 5 gives you 25

Answer:

the square root of 25 is 5

Answer:

20% of 10 is 2

Step-by-step explanation:

Answer:

2 servings of Gerber Mixed Cereal for Baby and 3 servings of Gerber Mango Tropical Fruit Dessert should be used.

Step-by-step explanation:

Given that Gerber Product's Gerber Mixed Cereal for Baby contains, in each serving, 60 calories and 11 grams of carbohydrates, while Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories and 21 grams of carbohydrates, and you want to provide your child with 340 calories and 75 grams of carbohydrates, in order to how many servings of each you should use, the following calculation has to be made:

(80 x 5) + (60 x 0) --- (21 x 5) + (11 x 0) = 400 --- 105

(80 x 4) + (60 x 1) --- (21 x 4) + (11 x 1) = 380 --- 95

(80 x 3) + (60 x 2) --- (21 x 3) + (11 x 2) = 360 --- 85

(80 x 2) + (60 x 3) --- (21 x 2) + (11 x 3) = 340 --- 75

Therefore, 2 servings of Gerber Mixed Cereal for Baby and 3 servings of Gerber Mango Tropical Fruit Dessert should be used.

I guess it is 200%

Hope it is correct

Answer:

Step-by-step explanation:

Here i will show you how to calculate the Percent Change from 12 to 36.

Basically, we are trying to find the change from 12 to 36 in terms of percent. We do this in three steps:

1) Find the difference between 12 and 36 as a number.

2) Divide the result from Step 1 by the starting number 12.

3) Multiply the result you got on step two by 100 to get it in terms of percent.

this can be shotenn sown with a simple formulatso, to find the percent change from 12 to 36, we use this formula:

((Y-X)/X)*100 = Percent Change

X is the starting number 12, and Y is the ending number 36 that it changed to. When we enter these numbers into the formula, we get:

((36-12)/12)*100 = 200.00%

there fore you answer is

Answer:

$5350

Step-by-step explanation:

Answer:

250 milliliters

Step-by-step explanation:

3.5 liters = 3.5 × 1000 milliliters=3500milliliters

3750-3500 = 250 milliliters

Answer:

They should interview 1620 adults now.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

z wont change, neither will [tex]\sigma[/tex]

We want to increase n as such the margin of error is reduced to one third.

We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by [tex]3^2 = 9[/tex]. So

180*9 = 1620

They should interview 1620 adults now.