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Zigmanuir [339]

3 years ago

9

What is the slope of the line on the graph?

1 answer:

Aleksandr-060686 [28]3 years ago

7 0

Answer:

6/1

Step-by-step explanation:

Rise↑/Run→

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6x+1/2y=3 into slope intercept form

12345 [234]

Y=-12x+6. I used the slope intercept form y=mx+b to solve.

5 0

2 years ago

Jane wants to estimate the proportion of students on her campus who eat cauliflower. after surveying 39 students, she finds 4 w

stellarik [79]

Let $x$ be the number of students who eat cauliflower.

Therefore, $x=4$ .

Let $n$ be the total number of students surveyed.

Therefore, $n=39$

Thus, $\hat p$ $=\frac{4}{39} =0.10256$

Now, for 90% confidence level, from the table we know that $Z=1.645$ .

The formula for the interval range of proportion of students is :

$p= \hat p\pm Z\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Plugging in the values we get:

$p=0.10256\pm 1.645\sqrt{\frac{0.10256(1-0.10256)}{39}}=0.10256\pm 0.04858=0.15114, 0.05398$

Thus, Jane is 90% confident that the population proportion p, for students who eat cauliflower in her campus is between 5.398% and 15.114% (after converting the answer we got to percentage).

7 0

3 years ago

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (2 points)

n200080 [17]

Given:

$f(x)=\dfrac{8}{x}$

$g(x)=\dfrac{8}{x}$

To find:

Whether f(x) and g(x) are inverse of each other by using that f(g(x)) = x and g(f(x)) = x.

Solution:

We know that, two function are inverse of each other if:

$f(g(x))=x$ and $g(f(x))$

We have,

$f(x)=\dfrac{8}{x}$

$g(x)=\dfrac{8}{x}$

Now,

$f(g(x))=f(\dfrac{8}{x})$ $[\because g(x)=\dfrac{8}{x}]$

$f(g(x))=\dfrac{8}{\dfrac{8}{x}}$ $[\because f(x)=\dfrac{8}{x}]$

$f(g(x))=8\times \dfrac{x}{8}$

$f(g(x))=x$

Similarly,

$g(f(x))=f(\dfrac{8}{x})$ $[\because f(x)=\dfrac{8}{x}]$

$g(f(x))=\dfrac{8}{\dfrac{8}{x}}$ $[\because g(x)=\dfrac{8}{x}]$

$g(f(x))=8\times \dfrac{x}{8}$

$g(f(x))=x$

Since, $f(g(x))=x$ and $g(f(x))$ , therefore, f(x) and g(x) are inverse of each other.

6 0

2 years ago

List multiples to find LMC of 27 and 45

PtichkaEL [24]

Answer:

135

Step-by-step explanation:

I think you mean the LCM instead of LMC. LCM stands for Least Common Multiple. Anyway, some of the multiples of 27 are 27, 54, 81, 108, and 135. Some multiples for 45 are 45, 90, 135. We can see here that 27 and 45 share the mutiple of 135 which is the first number they have in common.

6 0

2 years ago

What is the area of a square with a side lenght of 3/8 inches?

allochka39001 [22]

Answer:0.140625

Step-by-step explanation:

Area of square =length times width

3/8 * 3/8=0.140625

6 0

2 years ago

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