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Butoxors [25]
3 years ago
15

A car manufacturer crash tests a certain model of car and measures the impact force. The test and model in question produce impa

ct forces that are normally distributed with a mean of 303030 metric tons and a standard deviation of 1.51.51, point, 5 metric tons. Suppose that the manufacturer tests a random sample of 444 cars and calculates the sample mean impact force.
Mathematics
2 answers:
pychu [463]3 years ago
8 0

Answer:

30

Step-by-step explanation:

Given :

Mean, m = 30 metric tons

Standard deviation (s) = 1.5 metric ton

Sample size, n = 4

Since the impact force in the test model is normally distributed, the shape of the sampling distribution will also be approximately normal with a mean equal to the mean of the test model.

Hence, the sample mean impact force will be equal to the population mean.

Therefore, sample mean = 30 ; population mean = 30

faltersainse [42]3 years ago
3 0

Answer:

  _

P(x >30.75)≈0.16

Step-by-step explanation:

just had this question on khan academy.

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Morgan is a real estate agent and most recently made $12,500 on the sale of a home. Her commission she earns in selling homes is
ra1l [238]

Answer:

$104,167 approx.

Step-by-step explanation:

Step one:

Given data

Morgan made $12,500 on the sale of a home.

Her commission she earns in selling homes is 12%

Step two:

let the cost of the home be x

So 12% of x= 12,500

12/100*x= 12,500

0.12*x=12,500

0.12x=12,500

divide both sides by 0.12

x= 12,500/0.12

x=$104,166.66

x=$104,167

8 0
3 years ago
The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width
liraira [26]
Let the width be w, length = 3w and height = 2w

Volume = length x width x height = w x 3w x 2w = 6w^3
6w^3 = 2,058
w^3 = 2,058/6 = 343
w = ∛343 = 7

width = 7 cm
8 0
4 years ago
Iluguru sold an artick to bol to gain 20% Thereafteru
Anastasy [175]

Answer: £5

Step-by-step explanation:

Bole sold the article for 125% while he bought it for 100%.

Bole sold for £7.50 so £7.50=125%

£7.50/1.25=£6

125%/1.25=100%

£6=100% (the cost Bole bought the article with from Iluguru)

Iluguru sold it at 120% so 120% is £6

To find 100% we divide by 1.2

£6/1.2=£5

Iluguru bought article for £5 originally

8 0
3 years ago
Put the following equation in slope-intercept form: 4y=4x+8​
Sloan [31]

Answer:

y = x +2

Step-by-step explanation:

4y=4x+8​

Slope intercept form is

y = mx+b so we need to solve for y

Divide each side by 4

4y/4 = 4x/4 +8/4

y = x +2

The slope is 1 and the y intercept is 2

3 0
3 years ago
If 4^x= 40, then x = ????
Over [174]

Answer: The answer is 10 just divide the 4 by 40

Step-by-step explanation:

3 0
3 years ago
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