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yulyashka [42]
3 years ago
10

What is the midpoint of the set of points (6,-3) (8,5)

Mathematics
1 answer:
ipn [44]3 years ago
6 0

Answer:

(7,1)

Step-by-step explanation:

..............

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What is the solution to the inequality? −4x−8>−20
iogann1982 [59]

Answer:

see work attached and shown

5 0
3 years ago
Consider the inverse function. which conclusions can be drawn about f(x) = x2 2? select three options.
Elodia [21]

The function has a y-intercept at (0, 2). Then the correct options are A, B, and E.

The complete question is attached below.

<h3>What is the maximum and minimum value of the function?</h3>

The condition for the maximum will be

f"(x) < 0

The condition for the minimum will be

f"(x) > 0

Consider the inverse function.

f⁻¹(x) = -√(x - 2)

Then the conclusion of the function f(x) = x² + 2 will be

Differentiate the function, then we have

f ' (x) = 2x

Again differentiate, then we have

f" (x) = 2

f" (x) > 0

Then the function has a minimum value at (0, 2)

The function has a y-intercept at (0, 2)

Then the correct options are A, B, and E.

More about the maximum and minimum value of the function link is given below.

brainly.com/question/13581879

#SPJ1

5 0
2 years ago
During the 2000 season, the home team won 138 out of 240 regular season National Football League games. (15 points) a) Construct
jeka94

Answer:

Step-by-step explanation:

A) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 240

x = 138

p = 138/240 = 0.58

q = 1 - 0.58 = 0.42

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96

Therefore, the 95% confidence interval is

0.58 ± 1.96√(0.58)(0.42)/240

Confidence interval is

0.58 ± 0.062

B) winning more than halve of the games would be winning 120 games and above.

p = 120/240 = 0.5

We would set up the hypothesis test.

For the null hypothesis,

P ≥ 0.5

For the alternative hypothesis,

P < 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 138

n = number of samples = 240

P = 138/240 = 0.58

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.58 - 0.5)/√(0.5 × 0.5)/240 = 2.48

Recall that this is a left tailed test. We would determine the probability value of the area to the right of the z score from the normal distribution table.

P value = 1 - 0.9934 = 0.0066

Since alpha, 0.01 > the p value, 0.0066, then we would reject the null hypothesis.

Therefore, At the 0.01 significance level, there is no strong evidence of a home field advantage (they win more than half of the games) in professional football.

3 0
3 years ago
Help! I have solving systems of equations using substitution, and sometimes I have equations like this:
timurjin [86]
For systems of equations try using graphing, substitution, and elimination. For example
{2x+7y=3}
{x=-4y}
You should first look at if you have a variable that can be substituted (using substitution) and in this case we do! you plug in the x into 2x meaning 2(-4y)+7y=3
1) distribute -8y+7y=3
2) combine like terms in this case -8y+7y= -1y
3) solve -1y=3
y=-3
so currently our solution is (0,-3)
now we solve for x.
we plug our solved variable (y) into 7y
7(-3) and our equation looks like this
2x+7(-3)=3
1) distribute 7(-3)=-21
2) rewrite then solve 2x+(-21)=3
3) isolate variable -21+21 & 3+21
4) 2x=24
5) solve 2/24 = 12
Meaning our solution is (12,-3)
This is how to solve by substitution.
8 0
3 years ago
By how much is 5/8 greater than 1/4 of 1/2
lidiya [134]
The answer is five percent
5 0
3 years ago
Read 2 more answers
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