The sum of nine times a number and fifteen is less than or equal to the sum of twenty-four and ten times the number

10

beks73 [17]

The person above me is right. It’s A , you have to add

7 0

3 years ago

What is 9% of 42 pls help fast!

joja [24]

Answer:

3.78

Step-by-step explanation:

Percentage solution with steps:

Step 1: We make the assumption that 9 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=9$.

Step 4: In the same vein, $x\%=42$.

Step 5: This gives us a pair of simple equations:

$100\%=9(1)$.

$x\%=42(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{9}{42}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{42}{9}$

$\Rightarrow x=466.67\%$

Therefore, $42$ is $466.67\%$ of $9$.

4 0

3 years ago

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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.

3 0

3 years ago

9. Verizon offers a cell phone plan that includes a flat fee of $85 per month for the first phone and $7.50 a

Shalnov [3]

Answer:

4 phones

Step-by-step explanation:

7 0

3 years ago

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1. What is the median of this data?<br>6. 12, 7, 5, 11. 6 and 9.

anastassius [24]

The median would be 7.

6 0

3 years ago

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