Heyyyyy help mee please

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.2266 = 22.66% probability that the sample mean is greater than 63.

b) 0.1587 = 15.87% probability that the sample mean is less than 56.

c) 0.6147 = 61.47% probability that the sample mean is between 56 and 63.

In a normal distribution 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]

In this problem:

Item a:

This probability is 1 subtracted by the p-value of Z when X = 63, so:

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

By the Central Limit Theorem

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

[tex]Z = \frac{63 - 60}{4}[/tex]

[tex]Z = 0.75[/tex]

[tex]Z = 0.75[/tex] has a p-value of 0.7734.

1 - 0.7734 = 0.2266

0.2266 = 22.66% probability that the sample mean is greater than 63.

Item b:

This probability is the p-value of Z when X = 56, so:

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

[tex]Z = \frac{56 - 60}{4}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

0.1587 = 15.87% probability that the sample mean is less than 56.

Item c:

This probability is the p-value of Z when X = 63 subtracted by the p-value of Z when X = 56.

These p-values were found in the previous items, so:

0.7734 - 0.1587 = 0.6147

0.6147 = 61.47% probability that the sample mean is between 56 and 63.

A similar problem is given at https://brainly.com/question/24663213

Answer:

Two and ten.

Step-by-step explanation:

Answer:

2 and 10

Step-by-step explanation:

2 +10 = 12

And 2×10 = 20

Answer:

2.80$ dived by 7 to get 40 cents each on sale. add 75 sents to each cookie. 40 plus 75 in cents. your left with 1.15$ per cookie. 1.15 times 7 is 8.05

Step-by-step explanation:

Answer:

The normal price of each cookie is n = c = $1.15.

Step-by-step explanation:

Represent the normal cookie price by n.

Then the sale price today is n - $0.75 each, and so 7 cookies will cost you 7(n - $0.75), or $2.80, or, as an equation, 7(n - $0.75), or $2.80.

We simplify this equation by dividing both sides by 7, which results in:

n - $0.75n = $0.40.

Combining like terms, we get

n = $1.15

The normal price of each cookie is n = c = $1.15.

The unknown number given from the expression Six more than a number is 17 is 11

let

The unknown number = x

x + 6 = 17

x = 17 - 6

x = 11

check:

x + 6 = 17

11 + 6 = 17

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Answer:

no

Step-by-step explanation:

1. Pi is an irrational number, and irrational numbers CANNOT be written as a fraction. Pi is a non-repeating, non-terminating decimal number.

2. While 22/7 and 3.14 is often used as a value for pi, these are just approximations, so they're not completely exact.

Answer:

12.6

Step-by-step explanation:

Hope it helps Brooo

Answer: 12.6

Step-by-step explanation:

28% × 45 = 12.6 => Divide 12.6 by 45And see if we get as a result: 28%

I hope this helps<33

Answer:

y = 1/3x - 2

Step-by-step explanation:

2x − 6y = 12

-6y = -2x + 12

y = 1/3x - 2

9514 1404 393

Answer:

Step-by-step explanation:

Ms. Liu will have to pay 8p for p bags of popcorn, and 3w for w bottles of water. The amount she will have left will be these amounts subtracted from $40.

  40 -8p -3w . . . . represents the money remaining

For p=3 and w=4, this evaluates to ...

  40 -8(3) -3(4) = 40 -24 -12 = 4

Ms. Liu will have $4 left after her purchase.

please mark this answer as brainlist

The value of the expression is 15.625.

We have,

Expression:

(2.5)³

The base is 2.5 and the power is 3.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

This can be written as,

= 2.5 x 2.5 x 2.5

Convert the decimals into fractions.

= 25/10 x 25/10 x 25/10

Simplify the fractions.

= 15.625

Thus,

The value of the expression is 15.625.

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Answer:

Answer=3/10

Step-by-step explanation:

even numbers=3

total cards=10

P=number of possible outcomes/total outcomes

=3/10

Answer:

you have a 3/10 probability of geting a even number bc

Step-by-step explanation:

there are ten numbers shown in the question and there are three even numbers out of ten so that is how you get you anewer

Answer:

0.731353701619170483287543608275622403378...

Step-by-step explanation:

cos((43 π)/180)

UwU

It's verified you can trust

Is what you needed

Answer:

12 pounds

Step-by-step explanation:

gallon equals 4 quarts

1.5*4 equals 6

6 quarts times 2 pounds =2

Answer:

for perimeter, you add all of the sides except the height which is 19. It's means that you add all of the numbers except 19

Answer:

X=1

Step-by-step explanation:

3x+1=4

3x=4-1

3x=3

x=1

Answer:

length = 76 cm

Step-by-step explanation:

The perimeter = (2 × width) + (2 × length)

264 = (2×56) + (2 × length)

264 = 112 + (2 × length)

264 - 112 = 2 × length

152 = 2 × length

152/2 = length

76 = length

length = 76 cm

What the hel you expect us to do all that for 5 kids points? Go ask you mom to do that for you. If you're asking US to do that, then it has to be 40 or 50 points.

Answer:

-6

11

Step-by-step explanation:

-6n-5=31

-6n=36

n=-6

-28=-3n+5

3n=5+28

3n=33

n=11

Answer:

$12

Step-by-step explanation:

If we stuck with the price of $8, then we end with an income of $2400

Increasing it by $1 will decrease attendance by 20

8 x 300 = 2400

9 x 280 = 2520

10 x 260 = 2600

11 x 240 = 2640

12 x 220 = 2640

13 x 200 = 2600

We're starting to go down, so let's stop there

The ticket price of $11 or $12 appears to give the most income

I would stick with $12 since your still getting more money from one ticket

The price of a ticket stick at $12 since you still get more money from one ticket.

Last year 300 people attended a play with a ticket price of $8.

The school estimates that 20 fewer people attend for each $1 increase in price.

If we keep the price at $8, we'll end up with a $2400 profit.

Increasing it by $1 will result in a 20 percent drop in attendance.

8 × 300 = 2400

9 × 280 = 2520

10 × 260 = 2600

11 × 240 = 2640

12 × 220 = 2640

13 x 200 = 2600

Let's come to a halt here since we're starting to descend.

The $11 or $12 ticket price looks to generate the most revenue.

I'd continue with $12 because you'll still make more money with one ticket.

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Answer:

A

Step-by-step explanation:

|x|= negative and positive with the lines

Answer:

Step-by-step explanation:

Answer:

250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation:

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Solution:

Step 1: Set up a table with quantity and value.

quantityvaluetotal$3 tickets$2 ticketstogether

Step 2: Fill in the table with information from the question.

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

quantityvaluetotal$3 ticketsx33x$2 ticketsy22ytogether350950

Step 3: Add down each column to get the equations

x + y = 350                    (equation 1)

3x + 2y = 950                (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y                     (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer:

C.18

Step-by-step explanation:

at the rate 18 buses would have departed

Answer:

23/4

Step-by-step explanation:

Answer:

A mixed number is an addition of its whole and fractional parts.

[tex]5 \frac{3}{4} [/tex]

Add:

[tex]5 \: and \: \frac{3}{4} [/tex]

To write 5 as a fraction with a common denominator, multiply by

[tex] \frac{4}{4} [/tex]

Combine:

[tex]5 \: and \: \frac{4}{4} [/tex]

Combine the numerators over the common denominator.

[tex] \frac{5.4 + 3}{4} [/tex]

Simplify the numerator.

Multiply 5 by 4.

Add 20 and 3.

[tex] \frac{23}{4} [/tex]

Step-by-step explanation:

Thanks!!!!!!

Answer:

4

Step-by-step explanation:

-4/-1 = 4

Answer:

(-∞ , ∞)  -∞ < x < ∞

Step-by-step explanation:

function has no domain constraint

The domain of the expression is all real numbers except where the expression is undefined.

The given function is v(x)=x(11-2x)(17-2x).

The B and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:

Domain = the set of all x-coordinates = {1, 2, 3, 4}

Range = the set of all y-coordinates = {2, 3}

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:(−∞,∞)

Set-Builder Notation:{x| x∈ R}

Therefore, the domain of the expression is all real numbers except where the expression is undefined.

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Answer:

25

Step-by-step explanation:

155-180=25 degrees

Answer:

x = 25°

Step-by-step explanation:

Answer:

The answer is 27

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(3y+6+3)=196−16

(2)(3y)+(2)(6)+(2)(3)=196+−16(Distribute)

6y+12+6=196+−16

(6y)+(12+6)=(196+−16)(Combine Like Terms)

6y+18=180

6y+18=180

Step 2: Subtract 18 from both sides.

6y+18−18=180−18

6y=162

Step 3: Divide both sides by 6.

6y

/6

=

162

/6

y=27

Answer:

=34602838637675

Step-by-step explanation:

=−519601+(62626626)(552526)

=−519601+34602839157276

=34602838637675