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11Alexandr11 [23.1K]
2 years ago
9

The price of an item has dropped to $34 today. Yesterday it was $40. Find the percentage decrease.

Mathematics
1 answer:
RoseWind [281]2 years ago
6 0
15% decrease.
Explanation:
10% of 40 is $4 so another 5% is $2. So 15%
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Andres was cutting some boards to build a bookshelf. He has a piece of wood that is 10 3/4 feet long. He wants to cut a piece th
ozzi

Answer:

8 and 1/4

Step-by-step explanation:

10 3/4 - 2 1/2

3/4 - 1/2 = 1/4

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2 years ago
The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran
Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $44,500

Sample mean, \bar{x} = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s =  $9,500

a) First, we design the null and the alternate hypothesis

H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753

Since,                    

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income  than the national average

5 0
3 years ago
Can some help me with this problem
Y_Kistochka [10]

Answer:

580

Step-by-step explanation:

4*100=400

4*40=160

4*5=20

add them all up, you get 580

7 0
3 years ago
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alexandr402 [8]

Answer:

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Step-by-step explanation:

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By subtracting the output we can then get the difference between both distances.

If hole diameter = 5mm and coin diameter = 22mm

Difference = [(22 - 5)mm] ÷ 2

17mm / 2 = 8.5mm

5 0
3 years ago
TOOS
Eddi Din [679]

Answer:

Step-by-step explanation:

Given that:

Number of books, b α number of children enrolled

b α C

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Total number of books = Number of books per child * Number of child)

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3 years ago
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