Please let me know the answer

The ratio of the measures of the three angles in a triangle is 14:5:11. Find the measure of all the angles

Leona [35]

Hey there,

Answer:
Angle sum in triangle = 180 °

14 : 5: 11
Total units = 30u
30 units = 180°
1 unit = 180° / 30
= 6°
14 units = 6 x 14
=84°
5 units = 6 x 5
= 30°
11 units = 11 x 5
= 55°

Hope this helps :D

~Top♥

4 0

3 years ago

Read 2 more answers

I really need help please it is math

AnnyKZ [126]

Answer:

congruent

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

0.44 in scientific notation

babunello [35]

44x10^-2
or in other words
44 times 10 to the -2nd power

3 0

4 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.

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

Deon has been given a list of 3 bands and asked to place a vote. His vote must have the names of his favorite and second favorit

Ipatiy [6.2K]

Answer:

6

Step-by-step explanation:

Deon has to pick 1 band for his favorite band, and one band for his second favorite band. There are 3 options for his favorite band, and after picking this band, there are 3-1=2 options for his second favorite band. 3*2=6.

6 0

4 years ago

Please let me know the answer ​

Please let me know the answer