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3 years ago

The ages of max and his father add up to 35 years. Max's father's age is the same as five more than the square of max's age

1 answer:

34kurt3 years ago

5 0

M+f=35
f=5+m^2
sub 5+m^2 for f
m+5+m^2=35
m^2+m+5=35
minus 35 both sides
m^2+m-30=0
factor
what 2 numbers mulitply to get -30 and add to get 1
-5 and 6
(m-5)(m+6)=0
set to zto
m-5=0
m=5

m+6=0
m=-6
age can't be negative

max is 5
father is 30

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sing traditional methods, it takes 108108 hours to receive a basic driving license. A new license training method using Computer

solniwko [45]

Answer:

$z_{stat} = -1.50$

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 108

Sample mean, $\bar{x}$ = 107

Sample size, n = 110

Alpha, α = 0.02

Population standard deviation, σ = 7

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{107 - 108}{\frac{7}{\sqrt{110}} } = -1.50$

The test statistic is -1.50

8 0

3 years ago

Which of the points shown below are on the line given by the equation y = 2x? Check all that apply.

aleksklad [387]

Hey there I just saw no one answered this problem and I know this is a little late but I will answer it anyways.

Answer: The answer to this problem would be points A and B

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3 years ago

What is the inverse of the function f(x) = 2x + 1?

aliina [53]

First, conceptually understand what an inverse function is, it makes solving it very intuitive. An inverse function is simply a function which has points (y,x) for every point (x,y) of the parent function. So you are essentially taking all points of the parent function and switching the x and y coordinates for each. Those switched coordinates are produced by the "inverse function".

Mathematically then, finding the inverse function is a matter of solving for x and then switching the variable labels. In this case:

y=2x+1 subtract 1 from both sides

y-1=2x divide both sides by 2

(y-1)/2=x now just switch the labels for the variables...

y=(x-1)/2 so

f^-1(x)=(x-1)/2 is the inverse of f(x)=2x+1

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3 years ago

Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point

anygoal [31]

Complete question is;

Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games?

Two samples were randomly selected from three complete National Football League seasons (1989, 1990, and 1991). The first sample consisted of 50 games, where the favored team played in a home game, while the second sample consisted of 50 games, where the favored team played in an away game. The oddsmakers’ point spreads (which are the number of points by which the favored team is predicted to beat the weaker team) were then collected.

If µ1 and µ2 represent the mean point spread for home games and away games, respectively, which of the following is the appropriate.

A) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 < 0

B) H0: μ1 - μ2 = 0

Ha: μ1 < μ2

C) H0: μ1 - μ2 > 0

Ha: μ1 - μ2 = 0

D) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 > 0

E) None of the above

Answer:

D) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 > 0

Step-by-step explanation:

We want to find out if oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games.

Now, since µ1 and µ2 represent the mean point spread for home games and away games, respectively;

It means we want to find out if µ1 > µ2 as the alternative hypothesis.

Thus, alternative hypothesis is;

Ha: µ1 - µ2 > 0

Meanwhile null hypothesis assumes that equal point spreads are given when the favored team plays home games as well as when the favored team plays away games.

Thus, null hypothesis is;

H0: μ1 - μ2 = 0

The only correct option is D.

8 0

3 years ago

Need answer asap *** 50 POINTS

lara31 [8.8K]

I’m pretty sure it’s B if not try D

3 0

3 years ago