A DVD rental store wants to know what proportion of its customers are under age 21. A simple random sample of 400 customers was taken, and 280 of them were under age 21. Presume that the true population proportion of customers under age 21 is 0.68. What is the probability that the sample proportion \hat{p} is within 0.03 of the true proportion of customers who are under age 21 that is , what is the probability that \hat{p} is between 0.68 - 0.03 and 0.68 0.03

Answer:

2 times 8 = 16 divided by 3 leaves a remander of 1

Step-by-step explanation:

The smallest whole number is 22.

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.

Given:

First find the LCM of 7 and 3 .

LCM = 3 x 7 = 21

So, we will add remainder 1 (as given) to the LCM .

= 21+ 1

= 22

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Answer:

7/9

Step-by-step explanation:

When 7/9 is put as a decimal then its 0.777777. This makes it a repeating decimal.

Answer:

1.5 hours= 1hr 30m

Step-by-step explanation:

90÷15=6

6÷2=3

48÷16=3

3÷2=1.5

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Using proportional variables, it is found that it will take 1.5 hours for 16 men  to dig a trench 48 m long.

The time needed is direct proportional to the length of the trench, and inverse proportional to the number of men, thus, the equation is:

[tex]t = k\frac{l}{m}[/tex]

In which:

15 men can dig a trench of 90 m long in 3 hours, thus [tex]m = 15, l = 90, t = 3[/tex], this is used to find k.

[tex]t = k\frac{l}{m}[/tex]

[tex]3 = k\frac{90}{15}[/tex]

[tex]6k = 3[/tex]

[tex]k = \frac{3}{6}[/tex]

[tex]k = 0.5[/tex]

Thus:

[tex]t = 0.5\frac{l}{m}[/tex]

16 men, 48m long, thus [tex]l = 48, m = 16[/tex], and the time is:

[tex]t = 0.5\frac{l}{m} = 0.5 \times \frac{48}{16} = 0.5(3) = 1.5[/tex]

It will take 1.5 hours for 16 men  to dig a trench 48 m long.

A similar problem is given at https://brainly.com/question/14876746

Step-by-step explanation:

The expressions are not properly written

Given

RS = 4x – 9

ST = 19

RT = 8x – 14

Based on the given parameters, the addition postulate below is true

RS+ST = RT

Substitute

4x-9+19 = 8x-14

collect like terms

4x-8x = -14-19+9

-4x = -33+9

-4x = -24

x = -24/-4

x = 6

Get RS:

RS = 4x-9

RS = 4(6)- 9

RS = 24-9

RS = 15

Get RT:

RT = 8x - 14

RT = 8(6)-14

RT = 48-14

RT = 34

Answer:

There are 119 bacteria after 3 hours.

Step-by-step explanation:

Let be [tex]b(t) = 100\cdot 1.06^{t}[/tex], where [tex]t[/tex] is the time, measured in hours, and [tex]b(t)[/tex] is the number of total bacteria, dimensionless. The number of total bacteria after 3 hours is found after evaluating the function at given function:

[tex]b (3) = 100\cdot 1.06^{3}[/tex]

[tex]b(3) = 119.102[/tex]

We rounded to the nearest preceeding whole number, since number of bacteria represents a discrete set. There are 119 bacteria after 3 hours.

Answer:

520. Becuase with each serving added the total calories go up by 130, 130+390=520.

Answer:

Step-by-step explanation:

The greatest  common factor of 20, 50, and 25 is 5.

Given that,

Based on the above information, the calculation is as follows:

[tex]20 = 5\times 4\\\\ 50 = 5\times 10\\\\ 25 = 5\times 5[/tex]

So here the common factor is 5

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Answer:

This is very unclear however if your miles are 214 and you need 1% of the miles you can multiply it by 0.01 and the answer would be 2.14 miles

Answer: The answer is 1

Step-by-step explanation: The distance between -7 and -3 is 4 then half the distance in between -7 and -3 is going to be -5 because we just clarified that the distance between -7 and -3 is 4 so we did 4/2 and got 2 so we can figure out whats the distance between each point. Now that we figured that out we can determine what value the blue dot is if the value between each point is 2 then we can make out what the rest of the points on the line. If we from -3 to the blue point that would be 1.

Answer:

1. 80 miles

2. $22

Step-by-step explanation:

1. i did 48 divided by 60 and got .8

then i multiplied .8 by 100 and got 80

2. i did 88 multiplied by .25

Answer:

4.80961924

Step-by-step explanation:

Answer:

C. ∠Q because the triangles are isosceles and the base angles are congruent.

May I have brainliest please? :)

Answer:

B is the answer

Step-by-step explanation:

Cuz i just got it wrong because of the Bozo above me . . . all love  

Answer:

AUC= {2,3,5,6,7,10}

The second one=A

The third one= empty

I'm sorry. I don't know the others.

Answer:

Here it is!

Step-by-step explanation:

Complete  Question

The complete question is shown on the first uploaded image

Answer:

The correct option is  d

Step-by-step explanation:

From the question we are told that

   The set of people in a certain community who were asked if they subscribe to an information source is  U

    The  set that subscribes to The Daily Informer is  D

      The set that subscribe to News Magazine is  N

Here the universal set is  U

Now the word at least here means that the person can subscribe to one or two of the information source , but the person  cannot subscribe none of the information source

Now to get the set that represents the set of people surveyed who subscribe to at least one of the two news sources , we need to carry out a union operation on the sets representing the two news source , this can be mathematically represented as

      [tex]L  =  N \  u \  D[/tex]

So the sets that will contain all the people in the community that subscribe to at least one of the news source is  L      

Answer:

10 times larger

Step-by-step explanation:

I used my brain plus I learned it in 5th grade

Answer:

Janisa found that home health care is the fastest-growing occupation and services for the elderly is the fastest growing industry, while Rylan found that elementary and secondary school teaching are the occupations with the highest employment and retail sales is the industry with the highest employment.

Explanation:

We make this conclusion because when we look at all the other options none matches the definition of occupations and industries. However, if Janisa found that home health care is the fastest-growing occupation, and then services for the elderly are the fastest growing industry, it matches what we know an industry and occupation mean.

While, if Rylan found that elementary and secondary school teaching are the occupations with the highest employment, it matches an example of occupation also, and if he discovers that retail sales is the industry with the highest employment it also falls under industry types.

However, the other options mismatched industry examples for occupations.

Answer:I think the answer is C the third option

Step-by-step explanation:

Answer:

0.00052m

Step-by-step explanation:

Step-by-step explanation:

radius of volleyball= 0.05m

volume = ?

we know,

volume=4/3πr^3

=4/3×0.00039

=0.0005m^3 #

Answer:

651

Step-by-step explanation:

f(x) = 5×3 + 2×2

35x

14

= 5×3 = 15

= 2×2 = 4

= 15 + 4

= 19

35(19) - 14

= 665 - 14

= 651

Answer:

I think its 110

Step-by-step explanation:

Answer:

which one equals 12? option C

Step-by-step explanation:

Answe

Step-by-step explanation:

need brainest pls

Answer:

a) 15.9%

b) 2.3%

Step-by-step explanation:

We solving using z score formula. This formula is given as:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a. Calculate the percent of batteries with a useful life of less than 45 months. (Round your answer to the nearest tenth percent.)

x = 45, μ = 48, σ = 3

z = 45 - 48/3

= -1

Probability value from Z-Table:

The probability of batteries with a useful life of less than 45 months so

P(x<45) = 0.15866

Converting to percentage

0.15866 × 100 = 15.866

Approximately to the nearest tenth of a percent = 15.9%

b. Calculate the percent of batteries that will last longer than 54 months. (Round your answer to the nearest tenth percent.)

x = 58, μ = 48, σ = 3

z = 58 - 48/3

= 2

Probability value from Z-Table:

P(x<54) = 0.97725

P(x>54) = 1 - P(x<54)

= 0.02275

The probability of batteries that will last longer than 54 months is 0.02275

Converting to percentage

0.02275 × 100

= 2.275%

Approximately to the nearest tenth of a percentage = 2.3%

Answer:

The answer to 1x1x1x1xx2x3xx4x6xx8xx0x9x-x8x76xx54xx6x45c3xx6357x63x

is 4,727,808

Step-by-step explanation:

Answer:

$3.10 per gallon

Step-by-step explanation:

Take the total cost and divide by the number of gallons

68.30/22

3.1045454545

Round to the nearest cent

$3.10 per gallon

Answer:

$3.10 per gallon

Step-by-step explanation:

You just have to divide $68.30 by 22. (And round)

$68.30 divided by 22 = 3.10

So, you answer will be 3.10

Hope this helps! And happy Halloween x-x

^w^

Complete Question

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 25 dollars and a standard deviation of 8 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 28 dollars in interest

Answer:

0.354

Step-by-step explanation:

We solve for z score in this question.

The formula is given as:

z = (x-μ)/σ, where

x is the raw score = $28

μ is the population mean = $25

σ is the population standard deviation = $8

z= 28 - 25/8

z = 0.375

P-value from Z-Table:

P(x<28) = 0.64617

P(x>28) = 1 - P(x<28)

= 1 - 0.64617

= 0.35383

Approximately to 3 decimal places = 0.354

The proportion of the bank's Visa cardholders pay more than 28 dollars in interest is 0.354.

The distance between points (-6,5) and (3,-7)​ is 15 units.

In the coordinate plane, the points are denoted by coordinate and the distance means the physical distance between them.

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

Given the points  (-6,5) and (3,-7)​

Here x₁ = -6 , x₂ = 3

y₁ = 5 and y₂ = -7

So,

[tex]d = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {5 +7 } \right)^2 }[/tex]

d = √225

d = 15 units.

Hence "The distance between points (-6,5) and (3,-7)​ is 15 units".

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Answer:

slope is -1/4

Step-by-step explanation:

y = 4 x + 2

Use the equation y = m x + b

So m=4

And MPerpendicular=-1/4

Hope this helps!!