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3 years ago

(15, 0 ) (3,−3)

2 answers:

8 0

The formula for slope is (y2-y1) ÷ (x2-x1). it doesn't matter which y you make y2 and y1 but if you make -3 your y2 then 3 needs to be your x2.
so...
(y2-y1) ÷ (x2-x1)
(-3-0) ÷ (3-15)
-3 ÷ -12
.25 or 1/4

so your answer would be A. The slope of the line is ¼

UkoKoshka [18]3 years ago

5 0

The slope of the line is 1/4

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The graph of y= sin (x-3pi/2) is the graph of the y = sin(x) shifted in which direction?

Nutka1998 [239]

Answer:

$y=\sin(x-\frac{3\pi}{2})$ is the graph of $y=\sin x$ shifted to the right by $\frac{3\pi}{2}$ units.

Step-by-step explanation:

The given function is

$y=\sin(x-\frac{3\pi}{2})$

The base function of this trigonometric function is $y=\sin x$

In general, the transformation $y=\sin(x-k)$ will shift the graph of the base function, $y=\sin x$ , k units to the right.

Therefore, $y=\sin(x-\frac{3\pi}{2})$ is the graph of $y=\sin x$ shifted to the right by $\frac{3\pi}{2}$ units.

4 0

3 years ago

Read 2 more answers

10.

Kay [80]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

Step-by-step explanation:

Information provided

$\bar X=32.1$ represent the sample mean

$\mu$ population mean

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom are given by:

$df=n-1=83-1=82$

The Confidence is given by 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=62.132$

$\chi^2_{1- \alpha/2}=104.139$

And replacing into the formula for the interval we got:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

3 0

3 years ago

A factory makes circular rugs with a radius of 6.5 feet. How much braid do

Igoryamba

The answer is A, or 40.82 ft. This can be found using the formula for finding the perimeter of a circle: 2pir (2 x pi x radius). 2 x 3.14 = 6.28, and 6.28 x 6.5 = 40.82 ft. Hope this helps!

6 0

1 year ago

Find the unknown length in the right triangle 27cm and 13 cm

Phoenix [80]

use pythagoras:

${c}^{2} = \: {b}^{2} - {a}^{2}$

c^2 = (27)^2 - (13)^2

c^2 = 560

c = 23.6643....cm

3 0

3 years ago

X - 10+ 9x = - 1 + 10x

Karo-lina-s [1.5K]

Answer:

<h2></h2><h2><u><em>the equation is false</em></u></h2>

Step-by-step explanation:

x - 10+ 9x = - 1 + 10x

-10 + 1 = -x - 9x + 10x

-9 = 0

the equation is false

7 0

1 year ago