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DaniilM [7]
2 years ago
15

from this year to ten years later, the number of people employed as physician assistants in the country is expected to increase

by 47%. the number of people employed as physician assistants today is 69,000. Find the predicted number of physician assistants after ten years
Mathematics
1 answer:
wariber [46]2 years ago
8 0

Answer:

101430

Step-by-step explanation:

  • 69000=100 what about 147%. 69000×147/100=101430
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a triangle with vertices at A (-1,1), B(-2,1) C(-1,4) is translated. the image of vertex A has coordinate at (3,-1) determine th
Drupady [299]
For this case we have the following vertices:
 A (-1,1) --------> A '(3, -1)
 B (-2.1)
 C (-1,4)
 We note that the translation rule is:
 (x, y) -----------> (x + 4, y-2)
 Applying the translacion rule we have:
 B (-2, 1) -----------> (-2 + 4, 1-2) ------> B '(2, -1)
 C (-1, 4) -----------> (-1 + 4, 4-2) ------> C '(3, 2)
 Answer:
 
The image of vertex B or the image of Vertex C are:
 
B '(2, -1)
 
C '(3, 2)
7 0
3 years ago
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April,
SSSSS [86.1K]

Answer:

Step-by-step explanation:

a) H0: \bar x = 24.57

Ha: \bar x \neq 24.57

(Two tailed test at 5% significance level)

b) n=30

Mean difference = 23.89-24.57 = - 0.68

Std error of mean = \frac{s}{\sqrt{n} } \\=\frac{2.40}{\sqrt{30} } \\=0.4382

b) Test statistic t = mean diff/std error = -1.552

df = 30-1 =29

p value=0.0657

c) Since p > 0.05 our signi. level, we accept null hypothesis.

There is no significant difference between the means.

d) Using critical value we find that test statistic is > critical value left

So accept H0

8 0
3 years ago
Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee a
rusak2 [61]

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

Confidence level of 95%.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that \sigma = 2

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when M = 0.5. So

M = z\frac{\sigma}{\sqrt{n}}

0.5 = 1.96\frac{2}{\sqrt{n}}

0.5\sqrt{n} = 2*1.96

Dividing both sides by 0.5

\sqrt{n} = 4*1.96

(\sqrt{n})^2 = (4*1.96)^2

n = 61.5

Rounding up

We would have to take a sample of 62 to achieve this result.

8 0
3 years ago
Which equation can you use to find the value of x?
serg [7]

Answer:

3×=78+×-2

..............

7 0
3 years ago
Enter the value for x that makes the equation 1/2 (4x+12)+5x=30 true.
8090 [49]
First, distribute the (1/2) into (4x+12) by multiplying them.

The equation becomes:

2x + 6 + 5x = 30

On the left side, combine “like terms” through addition.

7x + 6 = 30

Subtract 6 from both sides:

7x = 24

Finally, get x alone by dividing both sides by 7:

x = 24/7, or if you wanted to round the decimal answer, it’s about 3.429.
8 0
3 years ago
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