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Studentka2010 [4]
3 years ago
10

Need help with this question please help

Mathematics
1 answer:
Bess [88]3 years ago
7 0
If you look closely the area where 3x is congruent to the other side of the 90 degree angle with one part as 0.5x + 34

So
3x + 0.5x + 34= 90

x will be 16

So plug it in

0.5(16) + 34= 42 degrees


And


3(16)= 48 degrees

That left half of the circle is 180 degrees and since we know the angle 3x is 48 degrees we subtract it from 180 to get angle AE


180-48

132 degrees is your answer

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Inches cubed. Or inches^3
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12w=-8(-4w=10) please help
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Answer:

w=4

Step-by-step explanation:

so assuming that that is a plus sign instead of an equal sign it would be 4

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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 homeowner is planning an addition to her house. she wants the new family room to be a rectangle with an area of 192 feet. The
kozerog [31]

Answer:

length=16feet  width=12feet

Step-by-step explanation:

This may not be the best way, i just stumbled upon the answer using this.

I knew 14*14=196, which is relatively close to 192.

Then, I took away 2 from one of the 14s and added it to the other 14.

14-2=12    14+2=16

Apparently, 16*12 is 192, so that's the answer.

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pychu [463]

Answer:

C: one triangle

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well a triangle = 180°

45+45=90

90+90=180

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