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3 years ago

6

The two-way table shows the number of people whose hobbies are reading or solving puzzles and who either ride a motorcycle or do

n’t ride a motorcycle.
Among people whose hobby is reading, what is the relative frequency of not riding a motorcycle?
Express your answer as a decimal, and round it to the nearest hundredth if necessary.
Enter your answer in the box.

2 answers:

victus00 [196]3 years ago

7 0

There are 12 total people who enjoy reading (7+5), of which 5 don't ride a motorcycle. So the relative frequency of people that don't ride motorcycles is $\dfrac5{12}=\approx0.42$ .

spin [16.1K]3 years ago

5 0

Answer:

The Answer is 0.42

(I put this here so the other person can get brainliest, thanks!

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Crank

Option D: $f(x)=-2(x+2)(x-4)$ is the function

Explanation:

Let the general form of quadratic equation be $y=a x^{2}+b x+c$

The function passes through the intercepts $(-2,0)$ and $(4,0)$ and also passes though the point $(-1,10)$

Substituting the points $(-2,0)$ , $(4,0)$ and $(-1,10)$ in the equation $y=a x^{2}+b x+c$ , we get,

$4a -2b+c=0$ -----------(1)

$16a +4b+c=0$ ----------(2)

$a-b+c=10$ -----------(3)

Subtracting (1) and (2), we get,

$\ \ 4a -2b+c=0\\ 16a +4b+c=0\\\---------\\ \ \ -12a-6b=0$ -----------(4)

Subtracting (2) and (3), we get,

$16a +4b+c=0\\\ \ a \ \ - \ \ b \ +c=10\\---------\\15a+5b=-10$ ------------(5)

Multiplying equation (4) by 5 and equation (5) by 4, to cancel the term b when adding, we get,

$-60a-30b=0\\\ 90a+30b=-60\\--------\\30a=-60\\\ \ a=-2$

Thus, the value of a is $a=-2$

Substituting $a=-2$ in equation (4), we get,

$\begin{aligned}-12 a+6 b &=0 \\-12(-2)-6 b &=0 \\ 24-6 b &=0 \\ 24 &=6 b \\ 4 &=b \end{aligned}$

Thus, the value of b is $b=4$

Now, substituting the value of a and b in equation (1), we have,

$\begin{aligned} 4 a-2 b+c &=0 \\ 4(-2)-2(4)+c &=0 \\-8-8+c &=0 \\ c &=16 \end{aligned}$

Thus, the value of c is $c=16$

Now, substituting the value of a,b and c in the general formula $y=a x^{2}+b x+c$ , we get,

$y=-2x^{2} +4x+16$

Taking out the common term as -2 we get,

$y=-2(x^{2} -2x-8)$

Factoring , we get,

$y=-2(x+2)(x-4)$

Thus, the function is $f(x)=-2(x+2)(x-4)$

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The sum of seven times a number, and 9, is equal to six times the number. What's the algebraic expression?

S_A_V [24]

7n+9=6n
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n=-9
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How would you write the variable expression “5 less than n”?

dalvyx [7]

Answer: n-5

5 less than =-5

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Find the slope of the line that is parallel to the line y=2x+5<br> <br> m=

OlgaM077 [116]

M=2
The slope intercept form is y=Mx+b,where m is the slope and b is the y intercept y=Mx+b

Using the slope intercept form the slope is 2 m=2

All lines that are parallel to y =2x-5 have the same slope of 2

M=2

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What’s the slope and equation

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Y=-10x-100

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