Can someone answer each step of this correctly?

Mathematics

1 answer:

Burka [1]3 years ago

5 0

About Slope - Intercept Form:

y = mx + b
m is the slope
b is the y-intercept

About Standard Form:

Ax + By = C
A & B & C are integers
A & B are both non-zero
This form is good to use when wanting to find the x & y intercepts of a line

About Point - Slope Form:

Y - Y1 = m (x -X1)
Y1 & X1 is a point on the line
The form allows you to identify the slope & the point on the line

Other Info:

Remember, y comes before the x
An ordered pair from your problem: (-3,1), -3 is x & 1 is y & x is before the y
An ordered pair from your problem: (3,5), 3 is x & 5 is y & x is before the y
For the graph, the vertical line is y

For the graph, the horizontal line is x

Hope this information helps!!! :)

You might be interested in

One of two supplementary angles is 8° more than one-third of the other angle. Find the measure of each of the angles.

storchak [24]

Hello,

Let's a and b the 2 angles.

a+b=180 (1)
a=b/3+8 ==> 3a-b=24 (2)

(1)+(2)==>4a=204==>a=51(°) and b=180-51=129(°)

Proof:
129/3+8=43+8=51
129+51=180

6 0

3 years ago

A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop

Katyanochek1 [597]

Answer: $(0.367,\ 0.473)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ is the sample proportion, n is the sample size , $z_{\alpha/2}$ is the critical z-value.

Given : Significance level : $\alpha:1-0.99=0.01$

Sample size : n= 85

Critical value : $z_{\alpha/2}=2.576$

Sample proportion: $\hat{p}=\dfrac{36}{85}\approx0.42$

Now, the 99% confidence level will be :

$\hat{p}\pmz_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.42\pm(2.576)\sqrt{\dfrac{0.42(1-0.42)}{85}}\\\\\approx0.42\pm0.053\\\\=(0.42-0.053,\ 0.42+0.053)=(0.367,\ 0.473)$