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HACTEHA [7]
3 years ago
6

A construction company plans to invest in a building project. There is a 30% chance that the company will lose $30,000, a 40% ch

ance of a break even, and a 30% chance of a $60,000 profit. Based ONLY on this information, what should the company do?
Mathematics
1 answer:
Aliun [14]3 years ago
8 0

30% chance of losing money.

40% chance of breaking even

Added together  = 70% of not making any money or losing money.

Only a 30% chance of making money.

The company should not invest, since they only have a 30% chance of making money.

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In a simple random sample of 300 boards from this shipment, 12 fall outside these specifications. Calculate the lower confidence
Lyrx [107]

Answer:

The 95% confidence interval for the percentage of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

In a random sample of 300 boards the number of boards that fall outside the specification is 12.

Compute the sample proportion of boards that fall outside the specification in this sample as follows:

\hat p =\frac{12}{300}=0.04

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

The critical value of <em>z</em> for 95% confidence level is,

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a <em>z</em>-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

6 0
3 years ago
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND DOUBLE POINTS
allochka39001 [22]

Hey there!

They are both correct, and their expressions are equivalent.'

9(S + T) + 45 = 9S + 9T + 45

Have a terrificly amazing day!

8 0
3 years ago
32. The length of a rectangle measures six more than the width. The perimeter of the rectangle is 38.
Ne4ueva [31]

Answer: 12.5

You start with the equations "2x +2y=38" and "6+x=y". By adding and subtracting in the second equation, you get "2x +2y=38" and "x-y=-6". When you multiply the second equation by 2, you get "2x-2y=-12."

subtracting the equations "2x +2y=38" and "2x-2y=-12" gets you to "4y=50", where you have to divide two sides by 4 and get "y=12.5"

6 0
3 years ago
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antiseptic1488 [7]
F(x+h) = 2(x+h) +3= 2x + 2h +3
f(x) = 2x + 5

f(x+h) - f(x) = 2x + 2h + 3- 2x - 3= 2h

[f(x+h) - f(x)]/h = 2h/h = 2

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The sum of a number and three is less than nineteen less than the number
Nataliya [291]
The answer to the solution is X+3<19-x.

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