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bezimeni [28]
3 years ago
12

If Patrick was pushing directly downward on the rock with a force of 10 N. How much work did Patrick do? Show/explain your work.

Mathematics
1 answer:
stiks02 [169]3 years ago
4 0

Answer:

Patrick from spongebob? He dosent do work

Step-by-step explanation:

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Simplify 6x^2/ cubed root of 3x
hammer [34]

Answer:

6x^2/(3x)^1/3

6= 3 .2

So, 3.2 (x^2)/( 3^1/3) x^1/3

=3^2/3)(2). x^5/3

={ 2 .( 3)^2/3 } x^5/3

4 0
3 years ago
What is the coefficient of the variable in the expression 6 − 4x − 8 + 2?
loris [4]
Remember, in mathematics, a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
So, the coefficient in 6-4x-8+2 would be -4.
8 0
3 years ago
Read 2 more answers
Please help, PhotoMath isn’t helping and I don’t understand
Pie

Answer:

Option B

Step-by-step explanation:

As here,

In all the options processes in 3rd step .

<u>As</u><u> </u><u>the</u><u> </u><u>bases</u><u> </u><u>are</u><u> </u><u>same</u><u> </u><u>exponents</u><u> </u><u>get</u><u> </u><u>added</u><u>. </u>

And in Option B 3rd step it has been correctly done form of,

{ ({2}^{ \frac{1}{4} } )}^{4}   = 4

Is correct simplification.

4 0
2 years ago
Which choices are equivalent to the fraction below? check all that apply 16/36
kenny6666 [7]

Answer:

\frac{16}{36} = \frac{8}{18} = \frac{4}{9}

Step-by-step explanation:

\frac{16}{36} = \frac{16/4.5}{36/4.5} = \frac{3.5555}{8} \neq  \frac{3}{8} \\\\\frac{16}{36} = \frac{16/12}{36/12} = \frac{1.3333}{3} \neq  \frac{1}{3} \\\\\frac{16}{36} = \frac{16/9}{36/9} = \frac{1.7777}{4} \neq  \frac{1}{4} \\\\\frac{16}{36} = \frac{16/4}{36/4} = \frac{4}{9} \\\\\frac{16}{36} = \frac{16/7.2}{36/7.2} = \frac{2,2222}{5} \neq  \frac{2}{5} \\\\\frac{16}{36} = \frac{16/2}{36/2} = \frac{8}{18} \\\\

3 0
3 years ago
fluorescent light factory that manufactures fluorescent lights that have a lifetime that is approximately normally distributed w
EastWind [94]

Answer:

The p-value obtained is greater than the significance level at which the test was performed, hence, we fail to reject the null hypothesis & say that there is enough evidence to conclude that the mean life of the fluorescent lights is 700 hours

Step-by-step explanation:

Complete Question

fluorescent light factory that manufactures fluorescent lights that have a lifetime that is approximately normally distributed with a mean of 700 hours and a standard deviation of 45 hours. Test the hypothesis that mean is 700 hours against the alternative hypothesis that the mean is not equal to 700 hours, if a random sample of 30 bulbs has an average life of 688 hours. Use a P-value in your answer.

Solution

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that the mean life of the fluorescent lights is 700 hours.

The alternative hypothesis will now be that the mean life of the fluorescent lights is significantly different from 700 hours.

Mathematically,

The null hypothesis is represented as

H₀: μ = 700

The alternative hypothesis is represented as

Hₐ: μ ≠ 700

To do this test, we will use the z-distribution because no information on the population standard deviation is known

So, we compute the z-test statistic

z = (x - μ₀)/σₓ

x = sample mean = 688 hours

μ₀ = 700 hours

σₓ = standard error = (σ/√n)

σ = standard deviation = 45 hours

n = Sample size = 30

σₓ = (45/√30) = 8.2158383626 = 8.216

z = (688 - 700) ÷ 8.216

z = 1.46

checking the tables for the p-value of this z-statistic

Significance level = 0.05 (This is used when significance level isn't given)

The hypothesis test uses a two-tailed condition because we're testing in two directions.

p-value (for z = 1.46, at 0.05 significance level, with a two tailed condition) = 0.14429

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.14429

0.14429 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there is enough evidence to conclude that the mean life of the fluorescent lights is 700 hours.

Hope this Helps!!

6 0
3 years ago
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