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Elena L [17]
3 years ago
11

Solve the power equation x to the 1/2 power + 3=5

Mathematics
1 answer:
sp2606 [1]3 years ago
6 0

Answer:

x = 4

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

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Using traditional methods, it takes 95 hours to receive a basic flying license. A new license training method using Computer Aid
Snowcat [4.5K]

Answer:

There is not sufficient evidence to support the claim that the technique performs differently than the traditional method.

Step-by-step explanation:

The null hypothesis is:

H_{0} = 95

The alternate hypotesis is:

H_{1} \neq 95

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

A researcher used the technique with 260 students and observed that they had a mean of 94 hours. Assume the standard deviation is known to be 6.

This means, respectively, that n = 260, X = 94, \sigma = 6

The test-statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{94 - 95}{\frac{6}{\sqrt{260}}}

z = -2.69

The pvalue is:

2(P(Z < -2.69))

P(Z < -2.69) is the pvalue of Z when X = -2.69, which looking at the z-table, is 0.0036

2*(0.0036) = 0.0072

0.0072 < 0.01, which means that the null hypothesis is accepted, that is, there is not sufficient evidence to support the claim that the technique performs differently than the traditional method.

7 0
2 years ago
Solve for N: 8th grade KA math problem. Correct answers only, have a great day
Alona [7]

Answer:

n = 5

Step-by-step explanation:

1) Use power rule: (x^a)^b=x^{ab}.

z^{2n}=z^{10}

2) Cancel the base of z on both sides.

2n = 10

3)  Divide both sides by 2.

n=\frac{10}{2}

4) Simplify \frac{10}{2} to 5.

n = 5

7 0
1 year ago
Read 2 more answers
What is a difference of cubes?
Vaselesa [24]

Answer:

See below.

Step-by-step explanation:

The difference of 2 cubes identity is:-

a^3 - b^3  = (a - b)(a^2 + ab + b^2).

5 0
3 years ago
Conversión a fracción de 0.355
Likurg_2 [28]
335/1000 if you read it out loud .335 is three hundred fifty-five thousandths
3 0
3 years ago
Find the measure of angle 1 given the following: angle 3 and angle 4 are complementary (angles add up to 90 degrees), angle 2 is
aleksandrvk [35]
When you add up all the angles, it would be equal to 180 degrees.

Since angles 2 and 3 are congruent, angle 3 is also equal to 6x + 24.
We know also that angles 3 and 4 are complementary, so (6x+24) + 5x = 90. 

Let's find x. 
6x+24+5x = 90
11x = 90-24
11x = 66
x = 6


Angle 2 and 3 are 6(6) + 24 = 60 degrees
Angle 4 is 5(6) = 30 degrees 

180 - 60 - 60 - 30 = 30 degrees

Angle 1 is equal to 30 degrees :D :D

6 0
2 years ago
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