1+1+3 please help i need

Where to locate the nonnegative abscissa, positive ordinate

Fofino [41]

The location to the nonegative abscissa, positive ordinate is in the Q1 it means it is in the fisrt quadrant as seen in the next image: http://www.mathnstuff.com/math/spoken/here/1words/q/q2.htm
Hope this helps

4 0

3 years ago

f sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

Yanka [14]

Sin(x) = opposite over hypotenuse
Cos(x) = adjacent over hypotenuse
Tan(x) = opposite over adjacent

Everything revolves around a right triangle.
From the given equation, "sine of x equals square root of 2 over 2"

Opposite = square root of 2
Hypotenuse = 2
Adjacent = ?

Using the Pythagorean Equation: H^2 = O^2 + A^2
2^2 = (square root of 2)^2 + A^2
A^2 = 4 - 2
A = square root of 2

Cos(x) = square root of 2 over 2
Tan(x) = square root of 2 over square root of 2 = 1

8 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.

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

Susie collected data on the favorite type of music of the students of two grades. The table below shows the relative frequencies

svp [43]

Answer:

In Grade 9, 20% of students liked classical music.

Step-by-step explanation:

Your table was hard to decipher, so I have recreated it here.

$\begin{array}{c|cccc}&\text{Pop}&\text{Classical}&\text{Heavy Metal}&\text{Total}\\\text{Grade 8}&0.50&0.10&0.40&1.00\\\text{Grade 9}&0.53&0.20&0.27&1.00\\\text{Total}&0.36&0.32&0.32&1.00\\\end{array}$

(a) In Grade 9, 53 students liked pop music.

FALSE. 53 % of the students liked pop music. We don't know how many students there were.

(b) In Grade 8, 60% of students liked heavy metal.

FALSE. 40 % of students liked heavy metal.

(c) In Grade 8, 10 students liked classical music.

FALSE. We don't know how many students there were.

(d) In Grade 9, 20% of students liked classical music.

TRUE. 0.20 means 20/100 or 20 %.

4 0

4 years ago

Leroy can lay 144 bricks in 3 hours. At this rate , how many bricks can he lay in 7 hours

yawa3891 [41]

Answer:

336

Step-by-step explanation:

Leroy can lay 48 bricks per hour.

48 x 7 equals 336

8 0

4 years ago

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