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insens350 [35]
3 years ago
12

Which ordered pair describes the location of point x

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0
X , y
If I understand the question correctly
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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
Find the equation of the line through point (1,−5) and perpendicular to y=1/8x+2. Use a forward slash (i.e. "/") for fractions (
Masteriza [31]

Answer:

y = -8x + 3

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

Perpendicular lines:

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to y=1/8x+2

This line has slope \frac{1}{8}

So, for the line we want to find the equation, we have that:

\frac{m}{8} = -1

m = -8

So

y = -8x + b

Find the equation of the line through point (1,−5)

This means that when x = 1, y = -5. We use this to find b. So:

y = -8x + b

-5 = -8 + b

b = 3

The equation of the line is:

y = -8x + 3

7 0
3 years ago
No pic/link just type answer pls.
Aleksandr-060686 [28]
I got 4.42 hope this helps:)
7 0
3 years ago
Find the greatest common factor.
jonny [76]

Answer:

Greatest is the multiplication exponent by algebra times by the quotient

Step-by-step explanation:

8 0
2 years ago
Help please thank you
expeople1 [14]
It’s 8cm, please give me brainliest! I need it to get my next rank!
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