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3 years ago

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A hat store is selling a hat, at a 55% markup. The store originally paid 16 dollars for the hat. What is the retail price for th

e hat?
A. $23.80
B. $24.00
C. $24.80
D. $24.83

1 answer:

Bad White [126]3 years ago

8 0

Answer:

c).$24.80

Step-by-step explanation:

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What is the area of a triangle whose base is 14 m and whose height is 22 m?

Ivanshal [37]

Base times height divided by 2 is the area. So 14 times 22 is 308 and divided by 2 is 154 so that is your answer. I hope this helps. Could I possibly get brainliest?

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3 years ago

Which ordered pair is a solution of the system of a linear equation below? Y= 1/4x +2 y= x-1

Tanya [424]

Answer: x = 4, y = 3

<u>Step-by-step explanation:</u>

$y=\dfrac{1}{4}x+2$ and $y=x-1$

Using substitution method we get:

$x-1=\dfrac{1}{4}x+2\\\\\text{subtract}\ \dfrac{1}{4}x\ \text{from both sides}\rightarrow \dfrac{3}{4}x-1=2\\\\\text{add 1 to both sides}\rightarrow \dfrac{3}{4}x=3\\\\\text{multiply both sides by 4}\rightarrow 3x=12\\\\\text{divide both sides by 3}\rightarrow x=4\\\\\text{Insert x = 4 into one of the original equations to solve for y:}\\y=x-1\\y =(4)-1\\y=3$

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3 years ago

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Step-by-step explanation:

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3 years ago

Solve each equation. Check your solution. <br> A) -6a=36<br> B) -9d=-72

vovikov84 [41]

A) -6a = 36

Divide both sides by -6 so that (a) is isolated.

a = -6

Check by plugging in -6 for a.

-6a=36

-6(-6)=36

36=36

So, a=-6

B) -9d=-72

Divide both sides by -9.

d = -72/-9

d = 8

Check work by plugging in 8 for d.

-9d=-72

-9(8)=-72

-72=-72

So, d=8

~Hope I helped!~

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3 years ago

A small business owner estimates his mean daily profit as $970 with a standard deviation of $129. His shop is open 102 days a ye

Katena32 [7]

Answer:

The probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we select appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sum of values of <em>X</em>, i.e ∑<em>X</em>, will be approximately normally distributed.

Then, the mean of the distribution of the sum of values of X is given by,

$\mu_{x}=n\mu$

And the standard deviation of the distribution of the sum of values of X is given by,

$\sigma_{x}=\sqrt{n}\sigma$

The information provided is:

<em>μ</em> = $970

<em>σ</em> = $129

<em>n</em> = 102

Since the sample size is quite large, i.e. <em>n</em> = 102 > 30, the Central Limit Theorem can be used to approximate the distribution of the shopkeeper's annual profit.

Then,

$\sum X\sim N(\mu_{x}=98940,\ \sigma_{x}=1302.84)$

Compute the probability that the shopkeeper's annual profit will not exceed $100,000 as follows:

$P (\sum X \leq 100,000) =P(\frac{\sum X-\mu_{x}}{\sigma_{x}}$

$=P(Z$

*Use a <em>z</em>-table for the probability.

Thus, the probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

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3 years ago