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stellarik [79]
3 years ago
11

Please help I don’t understand if you can answer just one or both pleaseee

Mathematics
1 answer:
lesya [120]3 years ago
4 0

\frac{3}{4}Answer:

#45: 3\frac{3}{4} cup

Step-by-step explanation:

<u>1.</u> Since it takes 1\frac{1}{2} cups to make 2 pints, multiply 1 \frac{1}{2} cups twice to equal 4 pints

You'll need 3 cups for 4 pints

<u>2.</u> Since we have 1 pint left, divide 1\frac{1}{2} by 2.

To make a single pint, you'll need \frac{3}{4} cup to make a single pint.

<u>3.</u> Add 3 cups and \frac{3}{4} cup together.

<em>3</em>\frac{3}{4}<em> is your answer.</em>

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Answer:

C. 6.2 inches

Step-by-step explanation:

There are many ways to do this but I like to cross the miles out by putting it on the denominator

927 miles * 1 inch/150 miles = 6.18

Rounded is 6.2

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3 years ago
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Identify the type of pair of angles labeled as 1 and 2 in the figure.
myrzilka [38]

<em>Hey</em><em>!</em><em>!</em>

<em>1</em><em> </em><em>and </em><em>2</em><em> </em><em>are</em><em> </em><em>vertical</em><em> </em><em>angles</em><em>.</em>

<em>Vertically</em><em> </em><em>opp</em><em>osite</em><em> </em><em>angles</em><em> </em><em>are</em><em> </em><em>always</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>each</em><em> </em><em>other</em><em>.</em>

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7 0
3 years ago
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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.

<em>Let </em>\mu_1<em> = </em><u><em>average writing time required by political science classes.</em></u>

<em />\mu_2<em> = </em><u><em>average writing time required by history classes.</em></u>

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 <u>Two-sample t test statistics</u> 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, <u><em>test statistics</em></u>  =  \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.

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

<em>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 </em><u><em>we reject our null hypothesis</em></u><em>.</em>

<em />

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

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