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IgorLugansk [536]
3 years ago
7

Solve equation 2x+3=2x

Mathematics
1 answer:
Digiron [165]3 years ago
3 0
This is an impossible equation.

If you have something and you add 3 to it, how can the result be the same as the original?
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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
A store has a large supply of Pepsi, Dr. Pepper, and Mountain Dew. a. How many ways can you purchase 12 sodas if you must have a
lianna [129]

Answer:

   A.  2 ways 2x6 12 divided by 6     B. 1 way 12 divided by 5 which is 2 remainder 2

Step-by-step explanation:

3 0
3 years ago
Help me please thank you​
lilavasa [31]

Answer:

22 m^2

Step-by-step explanation:

The area of the bottom rectangle is A = l*w

The length is 8 and width is 2

A = 8*2 =16

The area of the top rectangle is A = l*w

The length is 3 and width is 2

A = 3*2 =6

Adding the areas together

A = 16+6 = 22

3 0
3 years ago
Julie earned 66 on the test. Describe how the scores of Julie’s classmates compared to Julie’s score.
Ne4ueva [31]
We would need the data of their classmates scores to complete this answer
4 0
3 years ago
Alex has c chocolates, and d drinks . Miley has four fewer chocolates than Alex , but twice as many drinks. Write an expression
zaharov [31]

Answer:

I think it would be (C - 4) + 2D

Step-by-step explanation:

If she has four less drinks, you subtract 4 from the original, and of she has twice as many drinks, you double the amount of the original

6 0
3 years ago
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