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chubhunter [2.5K]
2 years ago
12

!!!30 points and brainliest!!!

Mathematics
1 answer:
Inga [223]2 years ago
8 0

5[x²+(2)²—(2)²]+32

5[(x+2)²—4]+32

5(x+2)²—20+32

5(x+2)²+12

Ans

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In the number 252 the 2 in the ones place is ____the value of the 2 in the hundreds place
castortr0y [4]

The value of the 2 in the hundreds place is 200.

The value of the 2 in the ones place is 2.

Hope it helped! :)

7 0
3 years ago
Which distribution shapes are often most appropriate to use the mean
Ivenika [448]

Answer:

Normal distribution or normal curve. It is most appropriate to report the mean for such a distribution

Step-by-step explanation:

5 0
3 years ago
I need help with these.
sattari [20]

Answer:

See below.

Step-by-step explanation:

1.

5^2 + 12^2 = x^2

25 + 144 = x^2

169 = x^2

x = 13

2.

3^2 + x^2 = [sqrt(10)]^2

9 + x^2 = 10

x^2 = 1

x = 1

3.

1^2 + x^2 = 4^2

1 + x^2 = 16

x^2 = 15

x = sqrt(15)

4.

[sqrt(27)]^2 + x^2 = 6^2

27 + x^2 = 36

x^2 = 9

x = 3

5.

15/5 = c/sqrt(29)

5c = 15 * sqrt(29)

c = 3sqrt(29)

6.

26/13 = x/12

2 = x/12

x = 24

7 0
3 years ago
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.

3 0
3 years ago
Three times a number plus three times a second number is fifteen. Four times the first plus twice the second number is fourteen.
Alexxx [7]

Answer:

x = 2 | y = 3. ( 2,3 )

Step-by-step explanation:

2(3x + 3y = 15)

6x + 6y = 30

3(4x + 2y = 14)

12x + 6y = 42

- 6x. -6y. -30

6x = 12

÷ 6. ÷6

x = 2

3x + 3y = 15

3(2) + 3y = 15

6 + 3y = 15

-6. -6

3y = 9

÷3. ÷3

y = 3

3 0
3 years ago
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