Slope -2/3 .x-intercept at 3 written in y=mx+b

1 answer:

5 0

Given the slope, m = -2/3, and the x-intercept, (3,0):

Use these values and plug into the slope-intercept form to solve for the y-intercept, b:

y = mx + b

0 = -2/3(3) + b

0 = -2 + b

Add 2 to both sides to isolate b:

0 + 2 = -2 + 2 + b

2 = b

Now that we have our slope, m = -2/3, and the y-intercept, 2

The linear equation in slope-intercept form is:

y = -2/3x + 2

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Most dermatologists recommend using sunscreens that have a Sun Protection Factor (SPF) of at least 30. One of the authors wanted

Basile [38]

Answer: We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.

Step-by-step explanation:

Given : Significance level : $\alpha: 1-0.95=0.05$

Sample size : n= 52 , which is a large sample (n>30), so we use z-test.

By using z-value table,

Critical value: $z_{\alpha/2}=1.96$

Sample mean : $\overline{x}= 34.55$

Standard deviation : $\sigma= 20.12$

The confidence interval for population means is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

i.e. $34.55\pm(1.96)\dfrac{ 20.12}{\sqrt{52}}$

$=34.55\pm5.46867829455\\\\\approx34.55\pm5.4687\\\\=(34.55-5.4687, 34.55+5.4687)=(29.0813,\ 40.0187)$

Now, the 95% confidence interval for the ppopulation mean = . (29.0813, 40.0187)

Hence, We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.

7 0

3 years ago

I just need someone to fill in all the answers

Masteriza [31]

Answer:

1. 2

2. 25

3. 1/3

I'm in 8th grade so not 100% sure about these

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But this is what I got so far!

3 0

3 years ago

47 1/2 of what number is 190

Grace [21]

$47 \frac{1}{2} \cdot x=190\\ \\ \frac{47\cdot2+1}{2} \cdotx=190\\ \\ \frac{95}{2} \cdot x=190\ /\cdot \frac{2}{95} \\\\x= \frac{190}{1} \cdot \frac{2}{95}\\ \\x=2\cdot2\\ \\x=4$