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koban [17]
3 years ago
13

When born a baby weighed 8.5 pounds and gained 1.6 pounds per week for the first 10 weeks. which of the following functions accu

rately model the number of pounds,p, the baby weighs as function of the number of weeks,w, since it was born?
A. p= 8.5w+1.6 B. p=w/1.6 +8.5
C. P=1.6w + 8.5 D. P= w /8.5+1.6
Mathematics
1 answer:
Naily [24]3 years ago
6 0

Answer:

C. P = 1.6w + 8.5

Step-by-step explanation:

In y= mx + b,

8.5 is (b) because it is the starting weight. The baby's weight gain would be represented by (m), because it changes every week.

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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
HELP!!!!!
Nata [24]

Answer:

1

Step-by-step explanation:

identify two points on the graph:

1. (0, 4)

2. (-2, 2)

use slope formula: (y² - y¹) / (x² - x¹)

1. (2 - 4) / (-2 - 0) = -2 / -2 = 1

slope = 1

8 0
4 years ago
Read 2 more answers
Which phrase best describes the transformation from the graph of y=(2x-15)^2+3 to the graph of y=2(x-11)^2+3?
weeeeeb [17]

Answer:

The graph's vertex would move 4 to the right and would become twice as wide.

Step-by-step explanation:

We can tell this because the x value of the vertex is the constant inside the parenthesis. In this case, the number changes from 11 to 15, which means it moves to the right by 4.

And with the 2 outside of the parenthesis instead of inside, it becomes more wide (since the 2 is not being squared).

7 0
3 years ago
A. find the value of a. B. Find the value of the marked angles.
Marat540 [252]

The marked angles are opposite angles, and as such they have the same measure. So, we have

6a+11 = 2a+83

Subtract 2a and 11 from both sides to get

4a = 72

Divide both sides by 4 to get

a = \dfrac{72}{4} = 18

Now that we know the value of a, we can compute the measure of the angles. We can also verify that the solution we found is correct by verifying that both expressions actually give the same result:

6a+11 = 6\cdot 18 + 11 = 119

2a+83 = 2\cdot 18 + 83 = 119

8 0
3 years ago
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Find the missing angle in the following right triangle with a second angle that measures 32degrees
Shtirlitz [24]

Check the picture below.

4 0
3 years ago
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