Moses is solving the problem below.

A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks down the item by 20 percent. A customer wants to buy three boxes of spaghetti. How much will the customer pay, including paying 8 percent sales tax? Round your answer to the nearest cent.

Look at the table below.

Steps
Moses’s work
Step 1
1 dollar and 60 cents (1.6) = 2 dollars and 56 cents
Step 2
2 dollars and 56 cents (0.80) = 2 dollars and 5 cents
Step 3
2 dollars and 5 cents (3) = 8 dollars and 20 cents
Step 4
8 dollars and 20 cents (1.08) = 8 dollars and 86 cents

In which step did Moses first make a mistake in his work?
Step 1
Step 2
Step 3
Step 4

Answer:

The minimum sample size required is 97.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this confidence interval is:

[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]\hat p=0.20\\MOE=0.08\\\text{Confidence level}=95\%[/tex]

The critical value of z for 95% confidence level is, z = 1.96.

Compute the minimum sample size required as follows:

[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

[tex]n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.20(1-0.20)}}{0.08}]^{2}\\\\=96.04\\\\\approx 97[/tex]

Thus, the minimum sample size required is 97.

Answer:

−234.96

Step-by-step explanation:

Hope its the right answer that you're looking for :)

Answer:

Step-by-step explanation:

15.75 plus .05x = 16.53-.13x

.78=.18x

4.3 hours is your answer

Answer:

312500

Step-by-step explanation:

I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong

Answer:

8<2x

Step-by-step explanation:

Answer:

8<2x

Step-by-step explanation:

I hope this helped! :D

Answer:

B

Step-by-step explanation:

The absolute value of a number means its distance from zero.

Therefore:

I-6I=6

Answer B shows that -6 is 6 units on the number line from zero, so that is the correct answer.

Answer:

m=n+5

Step-by-step explanation:

You just add n on both sides to get m because m is isolated on one side and variables and numbers on the other side of the equal sign.

Answer:

m=n+5

Step-by-step explanation:

m-n=5

add n on both sides

m=n+5

Answer:

ol rjlrjlfjcohcoucoycl lj

Answer:

:3

Step-by-step explanation:

Answer:

4 2/3 divided by 3/4 = p

Step-by-step explanation:

whatever the answer to the equation is the amount of people able to be invited

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The multiplication equation to determine the number of people, p, who can be invited to the party is 3/4 p = [tex]4\frac{2}{3}[/tex].

The number of people that can be invited to the party is 6 people.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x + 6 = 7 is an equation.

We have,

Amount of cups of yogurt Clancy have = [tex]4\frac{2}{3}[/tex]

Amount of cups of yogurt each person received = 3/4 of a cup

The number of people p that can be invited to the party:

3/4 p = [tex]4\frac{2}{3}[/tex]

3/4 p = 14/3

p = 14/3 x 4/3

p = 56/9

p = 6.22

p = 6

Thus,

The multiplication equation to determine the number of people, p, who can be invited to the party is 3/4 p = [tex]4\frac{2}{3}[/tex].

The number of people that can be invited to the party is 6 people.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ5

Answer:

c

Step-by-step explanation:

edge2020

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

What is a Quadratic Equation?

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given that;

4(x + 2)² = 36

4( x(x + 2) + 2(x+2) ) = 36

4( x² + 2x + 2x + 4 ) = 36

4( x² + 4x + 4 ) = 36

4x² + 16x + 16 = 36

4x² + 16x + 16 - 36 = 0

4x² + 16x - 20 = 0

We can further simply ( divide through by 4 )

x² + 4x - 5 = 0

Hence,

x = (-b±√(b² - 4ac)) / (2a)

x = (-4±√(4² - (4 × 1 × -5)) / (2×1)

x = (-4±√(16 - (-20)) / (2)

x = (-4±√(16 + 20)) / (2)

x = (-4±√(36)) / 2

x = (-4±6)) / 2

Hence

x = (-4-6)) / 2 and x = (-4+6)) / 2

x = -10/2 and x = 2/2

x = -5 and x = 1

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ2

Answer :

13.25 x 64

=848

Answer:

453x  ^64 /4

​

Step-by-step explanation:

Given:

Mrs. Applegate owns  [tex]\dfrac{3}{19}[/tex] of the business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

To find:

The  fractional part of the business that Mrs. Brown owns.

Solution:

Let Mrs. Charles owns x part of business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

Mrs. Brown owns = 3x part of business.

Mrs. Applegate owns  [tex]=\dfrac{3}{19}[/tex] of the business.

[tex]x+3x+\dfrac{3}{19}=1[/tex]

[tex]4x=1-\dfrac{3}{19}[/tex]

[tex]4x=\dfrac{19-3}{19}[/tex]

[tex]4x=\dfrac{16}{19}[/tex]

Divide both sides by 4.

[tex]x=\dfrac{16}{4\times 19}[/tex]

[tex]x=\dfrac{4}{19}[/tex]

Now,

Mrs. Brown owns  [tex]=3\times x[/tex]

[tex]=3\times \dfrac{4}{19}[/tex]

[tex]=\dfrac{12}{19}[/tex]

Therefore, Mrs. Brown owns  [tex]\dfrac{12}{19}[/tex] of the business.

Answer:

Step-by-step explanation:

Confidence interval formula is expressed as;

CI = xbar ±(z*s/√n)

xbar is the mean = 36

z is the z score at 95% CI = 1.96

s is the standard deviation = 6.9

n is the sample size = 22

Substitute

CI = 36  ±(1.96*6.9/√22)

CI = 36  ±(1.96*6.9/4.6904)

CI = 36  ±(1.96*1.4711)

CI = 36  ± 2.8833

CI = (36 - 2.8833, 36 + 2.8833)

CI = (33.1167, 38.8833)

Hence the 95% CI for the true population mean is 33.12<x<38.88

Answer:

y=4x+3

y=-2x+3

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

You add 1 on each side so you have 7x=126. Then you divide each side by 7, so you get x=18! Hope this helps!

Answer:

T

t

f

t

Step-by-step explanation:

Answer:

The expected value of this policy to the insurance company is $206.97

Step-by-step explanation:

Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290

Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710

Expected Value E(X) = ∑xp(x)

E(X) = $290*(0.999563) + (-$189,710* 0.000437)

E(X) = $289.87327 - $82.90327

E(X) = $206.97

Thus, the expected value of this policy to the insurance company is $206.97

Answer:

40 minutes

Step-by-step explanation:

What the person above/below me is saying, is you have to divide 360 and 9, to find x! X=40, 360/9=40! That's what they mean. I hope this helped you understand their answer!

It will take 40 minutes for me to make the 360 wraps that I need.

9x ≥ 360 ⇒ x ≥ 40

Step-by-step explanation:

I have to make at least 360 wraps for a party.

I can make 9 wraps per minute.

So, it will take minutes for me to make the 360 wraps that I need.

If I work for x minutes to make wraps, then I will be able to make 9x wraps.

So, the inequality that models the given condition is

9x ≥ 360

⇒ x ≥ 40 {Dividing both sides by 9}

Therefore, I need to work at least 40 minutes to reach my goal. (Answer)

Answer:

yes it is possible.

for example: +7-7=0

Step-by-step explanation:

Answer:

no u right its b

Step-by-step explanation:

Answer:

125dollars

Step-by-step explanation:

follow me say a thanks mark me branliest

Answer:

-320

Step-by-step explanation:

-2×5 (-4×-8)

-10(32)

-10×32

-320

Answer: she won: 322

Step-by-step explanation:

first add all the amounts of money she got for babysitting some devils, and there your equation is DONE

Answer:

3.5 km

Step-by-step explanation:

its 10.5 divided by 3 to get this answer

plz give me brainliest i need it plz

Answer:

y=4-4/9x x=9-9/4y

Step-by-step explanation:

jyEahahhhhh

Answer: 1. 2

2. 5

3. 2

4. 2

5. 2

Step-by-step explanation:

Answer:

area=47cm²

Step-by-step explanation: