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3 years ago

How do you do 27? Please show work and answer the whole question.

Mathematics

1 answer:

Harrizon [31]3 years ago

6 0

If we the area of the deck theyhave is 6x8=48^2feet
Now if we twice their dimension so they will be 12 and 16 respectively
Now the area is 12x16= 192^feet
This area is 4 times the prevoius area
Now if we want to double the original area for that we need to double only one dimension either width or length
Is we double 6 feet to 12 feet then area would be 12x8=96^feet
Same with another dimension if we double it 8x2=16
So area wouldbe 16x6=96^feet

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Do political science classes require less writing than history classes? The 55 randomly selected political science classes assig

saul85 [17]

Answer:

We conclude that political science classes require less writing time than history classes at 0.01 level of significance.

Step-by-step explanation:

We are given that the 55 randomly selected political science classes assigned an average of 16.3 pages of essay writing for the course. The standard deviation for these 55 classes was 4.8 pages.

The 54 randomly selected history classes assigned an average of 18.9 pages of essay writing for the course. The standard deviation for these 54 classes was 5 pages.

Let $\mu_1$ = average writing time required by political science classes.

$\mu_2$ = average writing time required by history classes.

So, Null Hypothesis, $H_0$ : $\mu_1\geq\mu_2$ {means that political science classes require more or equal writing time than history classes}

Alternate Hypothesis, $H_A$ : $\mu_1$ {means that political science classes require less writing time than history classes}

The test statistics that would be used here Two-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ ~ $t__n_1_-_n_2_-_2$

where, $\bar X_1$ = sample average pages of essay writing for political science classes = 16.3 pages

$\bar X_2$ = sample average pages of essay writing for history classes = 18.9 pages

$s_1$ = sample standard deviation for political science classes = 4.8 pages

$s_2$ = sample standard deviation for history classes = 5 pages

$n_1$ = sample of political science classes = 55

$n_2$ = sample of history classes = 54

Also, $s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2} }{n_1+n_2-2} }$ = $\sqrt{\frac{(55-1)\times 4.8^{2}+(54-1)\times 5^{2} }{55+54-2} }$ = 4.90

So, test statistics = $\frac{(16.3-18.9)-(0)}{4.9 \sqrt{\frac{1}{55}+\frac{1}{54} } }$ ~ $t_1_0_7$

= -2.77

The value of t test statistics is -2.77.

Now, at 0.01 significance level the t table gives critical value of -2.365 at 107 degree of freedom for left-tailed test.

Since our test statistics is less than the critical value of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that political science classes require less writing time than history classes.

3 0

3 years ago

What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?

Mademuasel [1]

just use thus (Y2-Y1)/(X2-X1)

6 0

4 years ago

Keeping federal withholding allowances less than 6, in which of the following cases will the amount of federal tax withheld from

tangare [24]

Gross pay increases by >$20 and withholding allowances stay the same is the answer that you are looking for!

Hope this helps!

8 0

4 years ago

The expression s2 is the area of a square, where s is the side length of the square. What does the expression (6x)2 represent?

Mariana [72]

D) the area with side length 6x

5 0

3 years ago

Read 2 more answers

An older toilet uses 27 l per flush, whereas a replacement toilet uses only 6 l per flush. if you flush the toilet four times pe

ipn [44]

Find out how many liters are used in the old toilet in a year;

4×27= 108 l (in a day)
365×108= 39420 liters (in a year)

Find out how many liters are used in the new toilet;

4×6=24 (in a day)
24×365=8760 l (in a year)

Find the water saved; 39420-8760
= 30660 l saved.

Hope I helped :)

3 0

4 years ago