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e-lub [12.9K]
3 years ago
12

Solve the four problems below. Which of the following problems can be solved by finding ? 3 divided by 1/2

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer:

(a)=6\\(b)=1\ \frac {1}{2}\\(c)=1\ \frac {1}{2}\\d=6

Step-by-step explanation:

(a)

3 ft long when divided into half ft each will be

3ft ÷1/2 ft

We change the ÷ to × then the second part is reciprocated hence

3ft÷1/2= 3ft×2/1=6 pieces

(b)

The question requires us to get the differences. Initially, Phil makes 3 quarts of soup but the family takes only half of the original quantity to mean Phil remains with the other half.

Therefore, half of 3 is 3×1/2=3/2= 1.5 or 1 1/2

(c)

Hiding 3 pounds of gold into two equal sections means 3 is divided by 2

3÷2=1.5 or 1 1/2

(d)

If half, 0.5 represent 3 cups then full quantity represent x

0.5=3 cups

1=x

By cross multiplication

1*3/0.5=6

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3 years ago
The director of a state agency believes that the average starting salary for clerical employees in the state is less than ​$35 c
MrRissso [65]

Answer:

There is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, \bar{x} = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571

Now, z_{critical} \text{ at 0.10 level of significance } = -1.28

Since,  

z_{stat} > z_{critical}

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

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10² + 11² = x²

100 + 121 = 221²

221 = x²

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babunello [35]

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46%

Step-by-step explanation:

You subtract the old by new then devide by the old and multiply by 100%

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