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prohojiy [21]
3 years ago
11

10–{22–[(−9)+(−11)]} help i'M HAVING A bad day :( fix it

Mathematics
1 answer:
fredd [130]3 years ago
7 0

Answer:

-32

Step-by-step explanation:

10–{22–[(−9)+(−11)]}

Work inside out

10–{22–[(-20)]}

Subtracting a negative is adding

10–{22+20}

10 - 42

-32

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To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil
Debora [2.8K]

Answer:

statistic value t= 5.43

p-value: < 0.00001.

Step-by-step explanation:

Hello!

To obtain information over the corrosion-resistance properties of a certain type of steel conduit a random sample of 45 specimens was taken and buried for two years.

The study variable is:

X: Max. penetration of a steel conduit.

The data of the sample

n= 45

sample mean X[bar]= 53.4

sample standard deviation S= 4.2

The conduits are manufactured to have a true average penetration of at most 50 mills, symbolically: μ ≤ 50

The hypothesis is:

H₀: μ ≤ 50

H₁: μ > 50

α: 0.05

To choose the corresponding statistic to use to study the population mean, the variable must have a normal distribution. There is no available information to check this, so I'll just assume that the variable has a normal distribution and, since the population variance is unknown and the sample is small, the statistic to use is a Student t.

Under the null hypothesis, the critical region and the p-value are one-tailed.

Critical value:

t_{n-1; 1-\alpha } = t_{44; 0.95} = 1.68

Rejection rule:

Reject the null hypothesis when t ≥ 1.68

t= \frac{53.4 - 50}{\frac{4.2}{\sqrt{45} } }

t= 5.43

The calculated value is greater than the critical value, thedecision is to rject the null hypothesis.

p-value:

P(t ≥ 5.43) = 1 - P(t < 5.43) = < 0.00001.

The p-value is less than α so the decision is to reject the null hypothesis.

Since the null hypothesis was rejected, then the population average of the penetration of the conduits specimens is greater than 50 mils. It is not recommendable to use these conduits.

I hope it helps!

4 0
3 years ago
Triangle abc is an isosceles right triangle. What is the measure of one base angle? 30ş 45ş 60ş 90ş.
alisha [4.7K]

Answer:

  45°

Step-by-step explanation:

The acute angles of a right triangle are complementary. The base angles of an isosceles triangle are congruent. If x is the measure of the base angles, this requires ...

  x = 90-x . . . . . the base angle is congruent to the other base angle

  2x = 90 . . . . . add x

  x = 90/2 = 45 . . . . divide by 2

The measure of a base angle of an isosceles right triangle is 45°.

__

It can be useful to remember this fact.

5 0
2 years ago
What is the surface area of a cube with a side length of 5 yards?
Y_Kistochka [10]

Answer:

B 125. its basically 5 cubed

Step-by-step explanation:

5 times 5 times 5

8 0
2 years ago
Read 2 more answers
The cost of 11 dvds and 7 cds is 172.50 and the cost of 10 dvds and 7 cds is 155.80. How much does a cd and dvd cost?
AleksandrR [38]

Answer:

The question has a mistake

Step-by-step explanation:

11d+7c= 172.5

10d+7c= 155.8

By subtraction;

1d+ 0c = 16.7

1d = 16.7

11×16.7+7c=172.5

7c = 172.5-11*16.7

You will get a negative answer yet the cost cannot be negative.

5 0
2 years ago
A line contains the points (−26, −37) and (−32, −61).
fredd [130]

Answer:

The slope of the line is 4

Step-by-step explanation:

You use the equation Y2 - Y1/ X2 -X1 to find the slope.

-61-(-37)/-32 - (-26)

-24/-6

4

5 0
3 years ago
Read 2 more answers
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