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Answer:

b) 0.0042495

c) 0.048021

Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c

Step-by-step explanation:

mean of 7.5 ounces and a standard deviation of 1.33 ounce

When random number of samples are given, we solve using z score with the formula

= z = (x-μ)/σ/√n, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

(a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples?

(b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces?

x > 8.2 ounces

= z = (x - μ)/σ/√n

z = (8.2 - 7.5)/1.33/√25

z = (8.2 - 7.5)/1.33/5

z = 2.63158

Probability value from Z-Table:

P(x<8.2) = 0.99575

P(x>8.2) = 1 - P(x<8.2) = 0.0042495

(c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b?

For n= 10

x > 8.2 ounces

= z = (x - μ)/σ/√n

z = (8.2 - 7.5)/1.33/√10

z = 1.66436

Probability value from Z-Table:

P(x<8.2) = 0.95198

P(x>8.2) = 1 - P(x<8.2) = 0.048021

Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c

Answer: Here are the answers. I walked you through 16 in my answer.

16. 3x=2y

    1 =y-x

x=2 and y=3  

17. $2.15=.10d+.05n

      d=30-n

There are 17 nickels and 13 dimes

18. 18=4x+5y  (since that's the total amount of holes and each par is either 4 or 5 strokes each)

     4x=79-5y  (since there are 79 total strokes and each was either 4 or 5)

No solution

Step-by-step explanation: For each problem, you have to write down the information you know, then define variables for the unknown. For 16, for example, they tell you that one number, which I have chosen to call x, is equal  to two times the larger number, which I have chosen to name y. So, you'd have an equation that equals x. It also tells you that you need three times x, and two times y, which can be rewritten as 3x and 2y. In other words, 3x=2y. That said, you can move on to the next equation. Since you know the difference is 1, in other words, y-x=1, or y=x+1 ( I isolated y by adding x to both sides), you can put that into your equation as well. From there, I used the substitution method to solve.

3x=2y                      

               so          3x=2(x+1)

y=x+1  

3x=2(x+1)                 --- orig equation

3x=2x+2                   --- distributive property (Multiplied x+1 by 2)

x=2                           ---- subtracted 2x from both sides

**Now, to find y, you can substitute x into either equation. Since I know y=x+1 where x=2, I know that y must be 3. To check this, you can graph on Desmos. The lines should intersect at (2,3).

For 18, the lines are parallel so they never intersect. There is no solution.

answer:

16. 3x = 2y, 1 = y - x → 2, 3

17. 2.15 = 0.10d + 0.05n, d = 30 - n → 13 dimes and 17 nickels

18. 18 = 4a + 5b = 79, b = 79 - 72 = 7 → 11 holes

19. 3x - x = 6, y = 3x → Pair 1: 3 and 9, Pair 2: 9 and 3

20. a = 3/5b, 2/5b = 4 → Pair 1: 6 and 10, Pair 2: 10 and 6

i hope this helps!! ♡

Answer:

the slope is 4

Step-by-step explanation:

the slope is found by subtracting  the y values for the numerator and then subtracting the x values for the denominator

y values -1-3=-4

x values 5-6=-1

slope=-4  

slope=4

           -1

Answer:

4

Step-by-step explanation:

Formula for solving for the slope of two points-

(y2-y1)/(x2-x1)

(-1-3)/(5-6)=

-4/-1=

4/1=

4

Answer: 1234386026

Step-by-step explanation:

Answer:

1,234,386,030

Step-by-step explanation:

Answer:

15

x

+

10

y

Factor

5

out of

15

x

.

5

(

3

x

)

+

10

y

Factor

5

out of

10

y

.

5

(

3

x

)

+

5

(

2

y

)

Factor

5

out of

5

(

3

x

)

+

5

(

2

y

)

.

5

(

3

x

+

2

y

)

Step-by-step explanation:

Answer:

A, C, D

Step-by-step explanation:

A. $5.60 per class

$196 divided by 35

B. $6.50 per class

$260 divided by 40

C. $5.00 per class

$250 divided by 50

D. $5.50 per class

$55 divided by 10

E. $7.60 per class

$342 divided by 45

Answer:

Answer. Nestor is actually one of the leaders of the Greeks in the Trojan War which figures prominently in Homer's Iliad. He is absolutely not a character in the novel The Merchant of Venice but he has been referred in the extract because he represents wisdom and good moral judgment.

Hope this helps, have a great day/night, and stay safe!

Answer:

The answer is "25680.508"

Step-by-step explanation:

Use formula:

[tex]A=Pe^{rt}[/tex]

   [tex]=20000 \times e^{((0.05) \times (5))}\\\\=20000 \times e^{(.25)}\\\\=25680.508[/tex]

Answer:

305m+152

Step-by-step explanation:

(8m+4)38

Multiply each term in the parentheses

8m times 38 plus 4 times 38

Multiply 8m times 38

304m plus 4 times 38

Then Multiply 4 times 38

304m+152

That should be your answer, but I could be wrong, therefore I am so sorry if I am. I hope this helps you.

Answer:

look it up on Google

Step-by-step explanation:

Answer: Infinite Solutions

Step-by-step explanation: Make the top x and y values times -2 to cancel all the variables and numbers out to get 0 = 0 so it would be Infinite Solutions.

And if you multiply by 2 you get the exact same equation.

If I am wrong let me know!

Hope this helps!  

Answer:

15. [tex] x = 15 [/tex]

17. [tex] c = 13.2 [/tex]

19. [tex] x = 25.8 [/tex]; [tex] y = 12.4 [/tex]

Step-by-step explanation:

15. [tex] 20*6 = 8*x [/tex] (intersecting chord theorem)

Solve for x

[tex] 120 = 8x [/tex]

Divide both sides by 8

[tex] 15 = x [/tex]

[tex] x = 15 [/tex]

17. [tex] (11 + 20)*11 = (13 + c)*13 [/tex] (two secants intersecting theorem)

Solve for c

[tex] 31*11 = 169 + 13c [/tex]

[tex] 341 = 169 + 13c [/tex]

Subtract 169 from each side

[tex] 341 - 169 = 169 + 13c - 169 [/tex]

[tex] 172 = 13c [/tex]

Divide both sides by 13

[tex] \frac{172}{13} = \frac{13c}{13} [/tex]

[tex] 13.2 = c [/tex] (nearest tenth)

19. [tex] (x + 5)*5 = (15 + 7)*7 [/tex] (two secants intersecting theorem)

Solve for x

[tex] 5x + 25 = 22*7 [/tex]

[tex] 5x + 25 = 154 [/tex]

Subtract 25 from each side

[tex] 5x + 25 - 25 = 154 - 25 [/tex]

[tex] 5x = 129 [/tex]

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{129}{5} [/tex]

[tex] x = 25.8 [/tex] (nearest tenth)

[tex] y^2 = 7*(15 + 7) [/tex] (tangent and secant theorem)

Solve for y

[tex] y^2 = 7*22 [/tex]

[tex] y^2 = 154 [/tex]

Take the Square root of both sides

[tex] \sqrt{y^2} = \sqrt{154} [/tex]

[tex] y = \sqrt{154} [/tex]

[tex] y = 12.4 [/tex] (nearest tenth)

Given:

Total number of friends = 9

Number of friend to invite = 4

To find:

The number of ways.

Solution:

We know that, total number of ways to select r items from n items is

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

So, the total number of ways to select 4 people from 9 friends is

[tex]^9C_4=\dfrac{9!}{4!(9-4)!}[/tex]

[tex]^9C_4=\dfrac{9!}{4!5!}[/tex]

[tex]^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]

[tex]^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex]

Therefore, the required number of ways is [tex]\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex].

Note: All options are incorrect.

Answer:

1/4

Step-by-step explanation:

divide the value in feet by 5280 because 1 mile equals 5280 feet.

Answer:There are 5280 feet in one mile; thus

1320/5280 = 1/4

Step-by-step explanation:

sorry if its not correct }:

Answer:

-14/3 -5.1 -4

Step-by-step explanation:

Answer:

65R3

Step-by-step explanation:

260/4 is a whole number, so then there would be a remainder 3. The only one with a r3 is D.

Hope this helps :D

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

subtract 2x from both sides

2x-3=7

add 3 to both sides

2x=10

divide both sides by 2

x=5

Answer:

x = 5

Step-by-step explanation:

Original Equation:

4x - 3 = 2x + 7

Add 3 to both sides

4x = 2x + 10

Subtract 2x from both sides

2x = 10

Divide both sides by 2

x = 5

Hope this helps :)

Please consider Brainliest :)

Answer:20 tablets

Step-by-step explanation:

Asked my MD father.

Answer:

Width = 3 inch and length = 6 inch

Step-by-step explanation:

The width of a frame = x

A frame 3-in longer than it was wide. Length = 3+x

Area of the frame = 18 sq inch

We need to find the the dimensions of the length and width of the frame Zach purchased,

Area of a rectangle is given by : A = lb

[tex]x(3+x)=18\\\\x^2+3x-18=0\\\\x^2+6x-3x-18=0\\\\x(x+6)-3(x+6)=0\\\\x=-6,3[/tex]

Neglecting negative value

Width = 3 inch

Length = 3 + 3 = 6 inch

Hence, the dimensions of the length and width of the frame is 6 inch and 3 inch respectively.

Answer:

The probabilitiy of pulling a seven is 1/13 or 7.69%

Step-by-step explanation:

Im not sure if you wanted just the probability of pulling a seven or if you wanted others as well but to find out the probability  you take the total amount of cards, 52, then you take the total amount of 7's in the deck which is 4, one for each card type.

Therefore you get 4/52 or simplified to 1/13 by dividing by 4 on the numerator and the denominator.

The probability is defined as the ratio of favorable outcome to the total number of outcomes. The probability of getting a 7 out of deck of cards is 1 / 13.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

Given that,

The total number of cards = 52

The types of card present in a the deck = 4.

Suppose A be the event of selecting one 7 out of a deck of cards,

Then, the probability of event A can be given as,

P (A) =  Number of 7's in the deck ÷ Total number of cards in the deck.

Since, there are four types of cards, the number of 7's in the card is 4.

Thus, P(A) = 4 / 52

    => P(A) = 1 / 13

Hence, the probability selecting one 7 out of a deck of cards is P(A) = 1 / 13.

To know more about probability click on,

https://brainly.com/question/11234923

#SPJ3

Answer:

3/2v

Step-by-step explanation:

v+1/2 is 1.5v or  3/2v.

Hope this helps :D

Answer:

The dimensions of the largest shed are 17 ft by 17 ft.

The area of the largest shed is 289 sq ft.

Step-by-step explanation:

Given that:

Fixed perimeter of the rectangular shed = 68 ft

To find:

The dimensions of the largest shed that can be built = ?

And

Area of the largest shed that can be built = ?

Solution:

First of all, let us have a look at the formula for perimeter of a rectangular shape shed:

Perimeter of a rectangle = 2 [tex]\times[/tex] (Length + Width)

68 = 2 [tex]\times[/tex] (Length + Width)

Length + Width = 34

The largest possible values are only in the case when the rectangle is a square.

i.e. Length = Width

Therefore values of length and width are:

Length = Width = [tex]\frac{34}{2} = 17\ ft[/tex]

Area of a square is given by the formula:

[tex]A = Side \times Side[/tex]

[tex]A[/tex] = 17 [tex]\times[/tex] 17  = 289 sq ft

The answer is:

The dimensions of the largest shed are 17 ft by 17 ft.

The area of the largest shed is 289 sq ft.

Answer:

do you have an image for that?

Step-by-step explanation:

No choices given for your question.

Answer:

|0.251 < p < 0.289|

Step-by-step explanation:

Given that:

The proportion of people who like dark chocolate than milk chocolate in a made up poll is 27%

Margin of Error = 1.9%

The conclusion about the proportion p using absolute value inequality ;

Interval :

P ± margin of error

27% ± 1.9%

(27 - 1.9)% ; (27 + 1.9)%

25.1% ; 28.9%

0.251 ; 0.289

Hence,

|0.251 < p < 0.289|

Answer:

Step-by-step explanation:

x = 0

x+3 = 0

x = -3

The answer is x could be 0 or -3

Answer:

c on edge

Step-by-step explanation:

Answer: She will need three cups scores.

Step-by-step explanation:

3/4 divided by 1/4 is three.