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Nana76 [90]
2 years ago
13

The population mean annual salary for environmental compliance specialists is about ​$63 comma 500. A random sample of 31 specia

lists is drawn from this population. What is the probability that the mean salary of the sample is less than ​$60 comma 500​? Assume sigmaequals​$6 comma 200.4
Mathematics
1 answer:
Nat2105 [25]2 years ago
3 0

Answer:

0.0035289

Step-by-step explanation:

From the question;

mean annual salary = $63,500

n = sample size = 31

Standard deviation = $6,200

Firstly, we calculate the z-score of $60,500

Mathematically;

z-score = x-mean/SD/√n = (60500-63500)/6200/√(31) = -2.6941

So we want to find the probability that P(z < -2.6941)

We can get this from the standard normal table

P( z < -2.6941) = 0.0035289

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Can somebody explain this to me when 2du = 16xdx ???
tamaranim1 [39]
When you set u=4x^2+4, you end up with the differentials \mathrm du=8x\,\mathrm dx. Multiplying both sides by 2 gives 2\,\mathrm du=16x\,\mathrm dx.

Then the integral is

\displaystyle\int_0^1\frac{16x}{(4x^2+4)^2}\,\mathrm dx=\int_4^8\frac2{u^2}\,\mathrm du=-\frac2u\bigg|_{u=4}^{u=8}=-2\left(\frac18-\frac14\right)=\frac14
8 0
3 years ago
A plain travels 3400 miles in 8 hours. How far will it travel in 6 hours at this rate
pashok25 [27]

Answer:

2550 miles in 6 hours

Step-by-step explanation:

if you divide the miles and hours by each other you will get the m/ph (miles per hour)

3400 ÷ 8 = 425

now, that we know the plane travels 435 m/ph, then if we multiply it by 6 we will get the answer

425 × 6 = 2550

4 0
3 years ago
On a map, 1 inch equals 5.2 miles. Two house are 3.5 inches apart on the map. What is the actual distance between the house?
MissTica

Answer:

18.2 miles

Step-by-step explanation:

simple multiplication:

We know that 1 inch of distance on the map is equal to 5.2 miles.

Using this knowledge we can multiply the amount of inches by the miles per inch.

5.2*3.5=18.2 miles apart

Hope this helps!!

4 0
3 years ago
HELLO I NEED HELP PLS
dalvyx [7]
Don’t know the answer nor the explanation ! Same situation as of yours !
3 0
3 years ago
What’s 18x3+12-1x34+13-2x56?
Alina [70]

18 x 3 + 12 - 1 x 34 + 13 - 2 x 56 = 67

<=Work=>

18 x 3 = 54

1 x 34 = 34

2 x 56 = 112

(54) + 12 - (34) + 13 - (112)

66 - 34 + 13 - 112

32 + 13 - 112

45 - 112

= 67

8 0
3 years ago
Read 2 more answers
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