Sales total : $155,000
Commission : 3.4%
How much is the commission?

Do you need to create an algebraic expression? In that case, the answer would be 6x.

Answer:

0.0989 = 9.89% probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show

Step-by-step explanation:

For each household, there are only two possible outcomes. Either they will tune in to the show, or they wont. The probability of a household being tuned in to the show is independent of any other household. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

She has been told that a whopping 68% of American households would be interested in tuning in to a new network version of the show.

This means that [tex]p = 0.68[/tex]

If this is correct, what is the probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show

All 6 is [tex]P(X = 6)[/tex] when [tex]n = 6[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{6,6}.(0.68)^{6}.(0.32)^{0} = 0.0989[/tex]

0.0989 = 9.89% probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show

Answer:

17 x + 7 y = 20

y =20x - 42

17 x + 7(20x - 42) = 20

17x + 140x - 294 = 20

157 x = 20 + 294

157x ÷ 157 = 314 ÷ 157

x = 2

y = 20x - 42

y = 20 (2) - 42

y = 40 - 42

y = -2

there for x = 2 and y = -2 is the solution

Answer:

It would be A

I think I forgot I didn't this like 2 weeks ago

Answer:

14 dollars

Step-by-step explanation:

42 / 3 = x amount of dollars

14 = x

so every one sweater costs 14 dollars

Answer:

common denominator: 48

Step-by-step explanation:

common denominator: 8x6=48

1/8 = 6/48    

1/6= 8/48

Step-by-step explanation:

no it doesn't equal

!

☺☺☺☺☺..........

Answer:

False

Step-by-step explanation:

Answer:

89-29x

Step-by-step explanation:

The question supplied is incomplete :

The x parameters aren't given ; "Units with weights less than or greater than ounces will be classified as defects"

Assume the unit weights Given are ;

Units with weights less than 10.8 or greater than 11.2 ounces will be classified as defects

Just follow the procedure in the solution for any value of unit weight interval given.

Answer:

0.3173

Step-by-step explanation:

Mean weight, m = 11 ounces

Standard deviation, s = 0.2 ounces

Find the Zscore for each unit weight :

Z = (x - mean) / standard deviation

P(x < 10.8) :

Z = (10.8 - 11) / 0.2 = - 1

P(Z < - 1) = 0.15866

P(x > 11.2) :

Z = (11.2 - 11) / 0.2 = 1

P(Z > 1) = 0.84134

P(x < 11.2) - P(x < 10.8) = 1 - (P(Z < 1) - P(Z < - 1)) = 1 - 1 - (0.84134 - 0.15866) = 1 - 0.68268 = 0.31732

Hence, Probability of a defect is 0.3173

Answer:

u=32

Step-by-step explanation:

Hey There!

Those are a pair of complementary angles we can tell because it has a square at the angle.

When angles are complementary they add up to 90

So given one angle we subtract that by 90 to find the missing angle

90-58=32

therefore u = 32

Answer:

Step-by-step explanation:

if tameekas sunflower is 58 millmetters and grows 8 millmeters a day then in the 7 days she grew it,  it has grown 58 millmeters.

Answer:

We will first find out average time of each student.

Student 1 = 60 / 12 = 5

Student 2 = 60 / 10 = 6

Student 3 = 60 / 8 = 7.5

Student 4 = 60 / 6 = 10

Student 5 = 60 / 4 = 15

Now we will take the arithmatic mean of all students average time.

A = (5+6+7.5+10+15)/5 = 43.5/5 = 8.7 minutes per problem

Answer:

Picture would be appreciated.

Answer:

Step-by-step explanation:

Remark

The rate is going to be the same as the distance travelled in 1 hour. The units will be different.

Formula

d = r * t

Givens

d = 558 miles

t = 3 hours

Problem A

r = d / t

r = 558/ 3 = 186 miles / hr

Problem B

Givens

r = 186 miles / hour

t = 1 hour

d = ?

Solution

d = 186 mi/hr * 1 hr

d = 186 miles

Note

This looks really trivial, but it's not. You have to learn to see the difference between a number and its units. It's not very often that the numbers will be the same, but if the units differ, then it is an entirely different question.

Answer:

A≈494.13

R = 12.54

D = 25.08

Step-by-step explanation:

Here is all the answers.

PLZZZZ give me brainliest!!!

Answer: The mean is the same as the average. In order to find the mean, or average score of the two tests, you need to take the sum of the two tests, and then divide by the number of tests, which is two.

We don't know the score of the second exam. Let it = x

Then we have the following equation:

(88 + x)/2 = 93

88 + x = 2 * 93

88 + x = 186

x = 186 - 88 = 98

You need to score a 98 on the second test

Answer:

(a) [tex]Total = 45000[/tex]

(b) Yaw, Musa and Kofi

Step-by-step explanation:

Given

[tex]Kofi =5/9[/tex]

[tex]Yaw = 2/15[/tex]

[tex]Musa = 14000[/tex]

Solving (a): The cost of the business

First, we solve for the fraction of Musa

[tex]Musa + Kofi + Yaw = 1[/tex]

[tex]Musa = 1 - (Kofi + Yaw )[/tex]

[tex]Musa = 1 - (5/9 + 2/15)[/tex]

[tex]Musa = 1 - (\frac{25+6}{45})[/tex]

[tex]Musa = 1 - \frac{31}{45}[/tex]

[tex]Musa = \frac{45 - 31}{45}[/tex]

[tex]Musa = \frac{14}{45}[/tex]

So, we have:

[tex]\frac{14}{45} * Total = 14000[/tex]

Make Total the subject

[tex]Total = 14000 * \frac{45}{14}[/tex]

[tex]Total = 1000 * 45[/tex]

[tex]Total = 45000[/tex]

Solving (b): Partners in ascending order

First, represent the fractions as decimals

[tex]Kofi =5/9[/tex] [tex]= 0.5556[/tex]

[tex]Yaw = 2/15[/tex] [tex]= 0.1333[/tex]

[tex]Musa = \frac{14}{45}[/tex] [tex]= 0.3111[/tex]

From the conversion above, the least is 0.1333 (Yaw), then 0.3111 (Musa), then 0.5556 (Kofi).

So, the order is: Yaw, Musa and Kofi

Answer:

0.25

Step-by-step explanation:

Answer:

1.5 thats the answer

Step-by-step explanation:

1.5

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Hi there!

[tex]\large\boxed{8(5+3)}}[/tex]

The greatest common factor of 40 and 24 is 8.

8 goes into 40 5 times:

8 goes into 24 3 times.

We can rewrite this expression for distribution using the amount of times 8 goes into both numbers:

8(5 + 3)

Using this, we get:

8(5) + 8(3) = 40 + 24.

Answer:

anlamiyorum ne diyorsun

Answer:

Step-by-step explanation:

Reference angle for 68° in QII = 180°-68° = 112°

Reference angle for 75° in QIV = 360°-75° = 285°

Answer:

616 cm²

Step-by-step explanation:

small cube (4 sides) = 8 x 3 x 4 = 96

large cube (4 sides) = 7 x 10 x 4 = 280

top and bottom of large cube = 12 x 10 x 2 = 240

(we would deduct the 3 x 3 area from  the top of the large cube and add a 3 x 3 area for the top of the small cube. So that cancels each other out.)

total surface area = 96 + 280 + 240 = 616 cm²

Answer:

the probability the emergency cooling system will work when needed is 80.5%

Step-by-step explanation:

 Given the data in the question;

the probability that someone will actually push the emergency button in an emergency from 90% to 99% of the time

E[tex]_4[/tex] ⇒ Someone will actually push the emergency button in an emergency

P(E[tex]_4[/tex]) = 90% = 0.90

E[tex]_4[/tex] : Someone will actually push the emergency button in an emergency

P(E[tex]_4[/tex]) = 99% = 0.99

P(E) = P(E1) × P(E2) × P(E3) × P(E4) × P(E5)

we substitute

P(E) = 92% × 94% × 96%  99% × 98%  

P(E) = 0.8054

P(E) = 80.5%

Therefore, the probability the emergency cooling system will work when needed is 80.5%

Answer:

95% of all students at private universities pay less than $58,302.5.

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.

Mean of $50,900, standard deviation of $4,500

This means that [tex]\mu = 50900, \sigma = 4500[/tex]

Ninety-five percent of all students at private universities pay less than what amount?

Pay less than the 95th percentile, and the amount is given by X when Z has a pvalue of 0.95, so X when Z = 1.645.

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

[tex]1.645 = \frac{X - 50900}{4500}[/tex]

[tex]X - 50900 = 1.645*4500[/tex]

[tex]X = 58302.5[/tex]

95% of all students at private universities pay less than $58,302.5.

Answer:

its B bro come on

Step-by-step explanation:

ok good

well, to do this we first need to find the mean of all values.

we need to find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)

Then find the mean of those distances.

so, after we do all of that with the given numbers, our final result would be 2.333333333..... (It goes on) we round it up to 2.3, and viola! the answer is C.

Answer: the answer is c

Step-by-step explanation: i took the test