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Mariana [72]
3 years ago
11

Simplify the radical

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0

Answer:

3\sqrt{3}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Given

\sqrt{27}

= \sqrt{9(3)}

= \sqrt{9} × \sqrt{3}

= 3\sqrt{3}

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A college student is interested in testing whether business majors or liberal arts majors are better at trivia. The student give
attashe74 [19]

Answer:

There is no significant difference between the two averages at 5% level

Step-by-step explanation:

Given that a a college student is interested in testing whether business majors or liberal arts majors are better at trivia.

The student gives a trivia quiz to a random sample of 30 business school majors and finds the sample’s average test score is 86. He gives the same quiz to 30 randomly selected liberal arts majors and finds the sample’s average quiz score is 89

Thus he has done a hypothesis testing for comparison of two means of different subjects.  n =30

H_0: Mean of business majors = Mean of liberal arts majos\\H_a:Mean of business majors \neq  Mean of liberal arts majos

Since which is better is not claimed we use two tailed test here

We find that p value = 0.0524 >5% our alpha

Since p >alpha, we find that there is no significant difference between the averages of these two groups and null hypothesis is accepted

4 0
3 years ago
What is the slope intercept form of the equation for the line that has a slope of -2 and a y-intercept of 3?
Misha Larkins [42]

Answer:

y = - 2x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 and c = 3, hence

y = - 2x + 3 ← equation in slope- intercept form

7 0
3 years ago
Savannah runs a day care center. Of the 12 children at the day care center, 3 of them are
sertanlavr [38]

Answer:

\frac{1}{4}

Step-by-step explanation:

3 out of 12 children at the day care center are 5-year-olds. So, the probability of a randomly selected child being a five-year old is \frac{3}{12}, or \frac{1}{4}.

6 0
3 years ago
Which is the graph of a logarithmic function?
adelina 88 [10]

Answer:

Answer is the first choice.

Step-by-step explanation:

A logarithmic graph is the opposite of an exponential growth graph, so the first option is the only one that fits. Just took the test and the first choice is correct.

6 0
3 years ago
Read 2 more answers
How does the graph of y=-3√2x-4 compare to the graph of y=-3√x-4?
kifflom [539]
<span>Assuming the graph is y=-3(√2x)-4 and y=-3√(x-4) the transformation would be:

</span><span>The graph is compressed horizontally by a factor of 2
x=1/2x'
</span>y=-3(√2x)-4 
y=-3(√x')-4 <span>

</span><span>moved left 4
x=x'-4
</span>y=-3(√x)-4 
y=-3(√x'-4)-4 
<span>
moved down 4
y=y'-4
</span>y=-3(√x-4)-4 
y'-4=-3(√x'-4)-4 
y'=-3(√x'-4)-4 +4
y'=-3(√x'-4)

Answer: C. <span>The graph is compressed horizontally by a factor of 2, moved left 4, and moved down 4.
</span>
6 0
3 years ago
Read 2 more answers
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