I would appreciate it if someone could help answer this problem:)

Step-by-step explanation:

Here are the solutions:

For the sample size of 300, with 27 defectives, the sample proportion is p-hat = 27/300 = 0.09.

For a 90% confidence interval of a proportion, use z = 1.645.

The limits of the interval are then:

Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.0628

Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.1172

The 90% confidence interval is then (0.0628, 0.1172)

For the larger sample, assuming that the same proportion of defectives is found (p-hat = 0.09), the new confidence interval would be:

Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0867

Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0933

In this case, the 90% confidence interval is (0.0867, 0.0933)

Thanks,

Answer:B

Step-by-step explanation:

just took the test

Answer:

A. Reflection over the y axis and a translation 4 units down

B. Yes because glide reflections preserve side and angle measures.

Answer:

r = 28 ft

Step-by-step explanation:

In a right triangle we have:

45² + r² = ( 25 + r )²

2025 + r² = 625 + 50r + r²

1400 = 50r

r = 28 ft

Answer:

100 mL

Step-by-step explanation:

0.5 x 1000 =500mg

250mg/5ml= 5mg per 1ml

500mg/x mL = 5mg/1ml

cross multiply

500=5mg XmL

=100mL

Answer:

56π units²

Step-by-step explanation:

area of entire circle = πr² = π8² = 64π

360° - 45° = 315°

(315/360)(64π) = 56π units²

Answer:56 square Units

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality

C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]

   so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct

D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12

For B, there is no property supporting that statement.

Answer:

Step-by-step explanation:

To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.

Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .

Answer:

25 yards squared

Step-by-step explanation:

Answer:

area =27

Step-by-step explanation:

Answer:

a) The value of the z-statistic is z = -2.55.

b) The p-value for this test is 0.0054.

Step-by-step explanation:

Suppose that in past campaigns 23.8% of customers identified as likely respondents did not respond to a nationwide direct marketing campaign. Test if this proportion has decreased:

This means that at the null hypothesis we test that if the proportion is still 0.238, that is:

[tex]H_0: p =0.238[/tex]

And at the alternate hypothesis we test if the proportion has decreased, that is:

[tex]H_a: p < 0.238[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.238 is tested at the null hypothesis:

This means that [tex]\mu = 0.238, \sigma = \sqrt{0.238*0.762}[/tex]

The analysts selected a random sample of 1500 customers and found that 315 did not respond to the marketing campaign.

This means that [tex]n = 1500, X = \frac{315}{1500} = 0.21[/tex]

a. Determine the value of the z-statistic. Give your answer precise to at least two decimal places.

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.21 - 0.238}{\frac{\sqrt{0.238*0.762}}{\sqrt{1500}}}[/tex]

[tex]z = -2.55[/tex]

The value of the z-statistic is z = -2.55.

b. Determine the p-value for this test. Give your answer precise to at least three decimal places.

The p-value of the test is the probability of finding a proportion below 0.21, which is the p-value of z = -2.55.

Looking at the z-table, z = -2.55 has a p-value of 0.0054

The p-value for this test is 0.0054.

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Answer:

  2.4

Step-by-step explanation:

We can see that this is a 3-4-5 right triangle, so side AB is 5 units long.

The area of the triangle is ...

  A = 1/2bh = 1/2(3 units)(4 units) = 6 units

This is true also when side AB is the base and CD is the height.

 A = 1/2(AB)(CD)

  6 = 1/2(5 units)(CD) . . . . . substitute given information

  6/2.5 = CD = 2.4 . . . . . . . divide by the coefficient of CD

The length of side CD is 2.4 units.

__

In the attached, the height to vertex C is given on the bottom line.

Answer:

Hey

Step-by-step explanation:

Sorry i need the points sorry

Answer:

B because you multiply all the similar numbers together then at the end you add them all up.Step-by-step explanation:

Answer:

answer: its c 108

Step-by-step explanation:

for the rectangles I just did base x height for all of them and got 24, 32, and 40 then I do the two triangles for those its just base x height ÷ 2 So 4 x 3 = 12 then I divide that by 2 and get 6 but since there's two of those triangles I multiply by 2 and end up with twelve again then I add all of these numbers up so...

24 + 32 + 40 + 12 = 108 Hope this makes sense to you!

Answer:

Step-by-step explanation:

http://www.mrbartonmaths.com/resources/GCSE%20Revision/GCSE%20Maths%20Takeaway/2.%20Grade%20D/46.pdf

You can find it in this site

Answer:

n= 2x-5

Step-by-step explanation:

The Expression for the statement is x= 2y -5.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

A number is five less than twice another number.

let the number be x and the another be y.

So, the mathematical Expression is

five less than twice another number.

= 2y -5

So, the expression is

x= 2y -5.

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ2

Answer:

Step-by-step explanation:

Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.

Part 1: Writing Expressions

Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

25(10j + 18 + 5j)

Your expression is good.

Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.  

Skuttle offered to pay his sister Izzy $25 for every four leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will over all make more money together.

Your verbal expression is good. It refrects your chosen equation.

Part 2: Writing Equivalent Expressions

Q3. Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.

Using commutative property of addition, the expression in question 1 can be rewritten as follows:

25(10j + 18 + 5j) = 25(10j + 5j + 18)

Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:

25(10j + 18 + 5j) = 250j + 450 + 125j

Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.

Now we can subsitute, say 7 for j.

For the first expression, we have:

25(10j + 5j + 18) = 25(10(7) + 5(7) + 18)

= 25(70 + 35 + 18) = 25(123) = 3,075.

For the second expression, we have:

250j + 450 + 125j = 250(7) + 450 + 125(7) = 1,750 + 450 + 875 = 3,075.

Thus, we can see that both expressions are equivalent.

Part 3: Finish the Story

Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?

Sarah found 3 + 7 = 10 shark teeth.

John found 10 / 2 = 5 shark teeth.

The total money they earned is $5 x 15 = $75.

1) an expression that looks similar would be (could be anything)

4(5j+8+4j)

2) It would become:

four times the sum of five times a number, eight, and four times the same number

3)  equivalents would be 4(9j+8)

or:

4(5j)+4(8)+4(4j)

4) say J=1 for simplicity

4(9+8)

=4x17

=68

next one would be:

4x5+4x8+4x4

=20+32+16

=68

ok, this is correct.

5) Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.

Step-by-step explanation:

Answer:  I don't know stop cheating on your tests

Step-by-step explanation:

Answer:

All you need to do is find the frequency of the Science Test Scores. For Example, there are 6 students that made a 90%. So, you put 6 dots on the graph where it says 90. For the rest of the numbers, you do the same thing. 3 students made a 50, 2 students made a 60, 7 students made a 70, 5 students made an 80, and like I said 6 students made a 90. Add 0 dots to 40% and 100%, as you can see no students made a 40 or a 100 :(

Step-by-step explanation:

Answer:

the Answer is 3x+12)+X=180

Step-by-step explanation:

Oak tree -> 11 units

Garden-> 1 unit

Total-> 12 units which is 108 years

So, 1 unit is 9.

Garden-> 9 years

Oak tree-> 99 years.

Answer:

Step-by-step explanation:

1.) 6

2.) A

3.)5

Answer:

I dont know how to write the answer but i hope my math helped.

Step-by-step explanation:

192 divided by 32 is 6 so it will take Cameron a total of 6 weeks to get is pictures.

Answer:

32x>192

Step-by-step explanation:

I'm not 100% sure, but if you said you needed an inequality the money could be more than 192. So if you have $32 per week (x) is greater than 192 and solve, Camerson could work 6 weeks OR greater. I hope this helps :)

Answer:

B is the correct answer..

Answer:

8a) false

8b) true

8c) true

8d) false

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Answer:

  C.)  (3, 2)

Step-by-step explanation:

The coefficients of y are opposites, so we can add the two equations to eliminate y.

  (x +2y) +(x -2y) = (7) +(-1)

  2x = 6 . . . . . simplify

  x = 3 . . . . . . matches choice C

Answer: A, 1/2

Step-by-step explanation:

he is simply using 1 cup of bs for each cup of ws so when you do it its i cup of ws then its hald of 1 bs

Answer:

it is 1/2 i.e. the first option

this is simple ratio method;

white : brown

      2 : 1

       1 : x

x = 1/2 cups

Hope this helps!

I would really appreciate if you mark me brainliest as I have been trying to get there for a veryyy long time now :)

Answer:

multiplication and subtraction

Step-by-step explanation:

4(n-3)