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Lunna [17]
2 years ago
10

Michael wants to save up to buy a new bike that costs $600 using the method described in Problem 2. How many weeks will it take

him to reach his goal? Show your work and explain your reasoning to support your answer.
Mathematics
1 answer:
NISA [10]2 years ago
4 0

Answer:

Sssssnake ssssssnake sssssnake HAHHAHAHAH HAVE A GOOD DAY MHHHHHHH

Step-by-step explanation:

You might be interested in
Determine if √4 is rational or irrational and give a reason for your answer.
Anika [276]

Answer:

rational

Step-by-step explanation:

Because if you take the square root of 4 you get 2

if it was irrational then it would be a decimal or fraction

(plz mark braillist)

7 0
3 years ago
The post office will accept packages whose combined length and girth is at most 42 inches. (the girth is the perimeter/distance
Vilka [71]
If x represents the length of the box, then 42-x will be the girth. Since the largest area for a given girth is that of a square, the side length of the square cross section is (42 -x)/4.

The volume as a function of package length is then
.. v(x) = x((42-x)/4)^2
This has a maximum at x=14. The corresponding volume is 686 in^3.

8 0
3 years ago
A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class
KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

<u><em /></u>

<u><em>Let p = percentage of seniors who skip their classes.</em></u>

So, Null Hypothesis, H_0 : p \leq 2%   {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, H_A : p > 2%   {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                   T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of seniors who skipped their classes = \frac{77}{2521}

           n = sample of classes = 2521

So, <u><em>test statistics</em></u>  =  \frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }

                               =  3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, <u>the z table gives critical value of 2.3263 for right-tailed test</u>. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that seniors skip more than 2% of their classes.

6 0
3 years ago
What is the range of y = sin-1x? [–1, 1] [0, π] left-bracket negative startfraction pi over 2 endfraction, startfraction pi over
soldi70 [24.7K]

The range of the provided inverse sine function in terms of <em>x</em>, and <em>y </em>y = sin-1x is [-π/2, π/2].

<h3>What is the range of the function?</h3>

Range of a function is the set of all the possible output values which are valid for that function.

The trigonometry function given in the problem is,

y = \sin^{-1}x

The above function can be written as,

\sin y = x

The above function is the arc of sine function. The domain of arc of sine ranges from -1 to 1.

-1\leq x\leq1

This is the domain of the inverse of sine function. In the attached image below, the graph of inverse sine function is plotted. The range of this function is,

-\dfrac{\pi}{2}\leq x\leq\dfrac{\pi}{2}

Thus, the range of the provided inverse sine function in terms of <em>x</em>, and <em>y </em>y = sin-1x is [-π/2, π/2].

Learn more about the range of the function here;

brainly.com/question/2264373

7 0
2 years ago
Is 16x2 - 16x + 4 a perfect square?
Andrew [12]

Answer:

Yes

Step-by-step explanation:

Use the completing the square method:

16(x^2-x)+4

=16((x-1/2)^2 - (1/2)^2)+4

=16((x-1/2)^2 - 1/4)+4

=16((x-1/2)^2) - 16/4 + 4

=16(x-1/2)^2

=4^2(x-1/2)^2

The product of two square is itself a square.

5 0
3 years ago
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