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Ilya [14]
2 years ago
13

Picture is shown down below ( Math )

Mathematics
1 answer:
IgorC [24]2 years ago
5 0

Answer:

a) quad 3

b) y-axis

c) quad 4

d) quad 2

e) quad 1

f) x-axis

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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
Which graph represents the function of f(x) 9x^2 + 9x - 18 / 3x + 6
Irina-Kira [14]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=\frac{9x^{2}+9x-18}{3x+6}

Remember that in a quotient, the denominator cannot be equal to zero

so

The value of x cannot be equal to x=-2

Simplify the expression

Using a graphing tool

The roots of the quadratic equation in the numerator are

x=-2 and x=1

so

9x^{2}+9x-18=9(x+2)(x-1)

Simplify the denominator

3x+6=3(x+2)

substitute in the original expression

f(x)=\frac{9(x+2)(x-1)}{3(x+2)}

Simplify

f(x)=3(x-1)

f(x)=3x-3

Is the equation of a line

The y-intercept is the point (0,-3) (value of the function when x is equal to zero)

The x-intercept is the point (1,0) (value of x when the value of the function is equal to zero)

Graph the line, but remember that the value of  x cannot be equal to -2

The graph in the attached figure

7 0
3 years ago
Write the word sentence as an inequality.<br> One plus a number y is no more than -13.
kolbaska11 [484]

Answer:

1+y \leq -13

Step-by-step explanation:

The problem states that one plus y is No greater than -13.

This means that is less than or equal to -13.

It also gives you one plus y, or 1+y

Put everything together to get 1+y \leq -13

7 0
3 years ago
Read 2 more answers
Ryan surveyed parents. He found 3 out of every 5 parents vote. 450 parents eligible. How many parents will vote in the election?
Dafna1 [17]
The answer is 150 parents. Because 450/3=150
4 0
3 years ago
If 3X + 2 equals 11, could X equal 5
Norma-Jean [14]

Answer:

No because 3(5) +2= 17

3*5=15

15+2= 17

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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