The heights (in inches) of males in the United States are believed to be Normally distributed with mean LaTeX: \muμ. The average height of a random sample of twenty-five American adult males is found to be H = 69.72 inches and the standard deviation of the twenty-five heights is found to be s = 4.15. The standard error of H is = 4.15. A 90% confidence interval for ? is?

The equation is f(x) = x² – 8x + 5. Then the y-intercept is at (0, 5) and the function crosses the x-axis twice. Then the correct options are A, D, and E.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The quadratic equation is given below.

f(x) = x² – 8x + 5

Convert the equation into vertex form, then the equation will be

f(x) = x² – 8x + 5

f(x) = x² – 8x + 16 – 16 + 5

f(x) = (x – 4)² – 16 + 5

f(x) = (x – 4)² – 11

The graph of the function is given below.

From the graph, the y-intercept is at (0, 5) and the function crosses the x-axis twice.

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

More about the equation of parabola link is given below.

https://brainly.com/question/20333425

#SPJ6

Answer: 1/3 ~~~~~~~~~~~~~~~~~~~~~~~~

Answer:

x = 53 degree

Step-by-step explanation:

53 degree angle = x angle( alternate exterior angle)

Therfore, x = 53 degree

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Answer:

m= -6

that's if it's "m" over "m+5" equals 6

let me know if it's "m" over "m" and then plus 5 equals 6

Answer:

The sum of the squares of two legs of a right triangle is equal to the square of the hypotenuse (the longest side).

Equation: a^2+b^2=c^2

where a and b are legs and c is the hypotenuse

Answer:

Step-by-step explanation:

sure

Answer:

(5,45)

Step-by-step explanation:

Hi,

y = 2x + 35

y = 9x

To solve, we can substitute 9x for y.

9x = 2x + 35

Subtract 2x...

7x = 35

Divide by 7...

x = 5

Now plug in 5 for x...

y = 9x

y = 9(5)

y = 45

Your answer is (5,45)

I hope this helps :)

Answer:

x=5, y=45. (5, 45).

Step-by-step explanation:

y=2x+35

y=9x

-------------

2x+35=9x

35=9x-2x

35=7x

x=35/7

x=5

y=9(5)=45

Answer:

Answer in picture with working

Step-by-step explanation:

Answer:

12 years

Step-by-step explanation:

Represent the mother's age by m and the son's by 4.  Currently m = 36 years old.

In x years the mother will be three times as old as her son:

mother:  36 + x years old

son:  4 + x years old

The pertinent equation to solve is:

36 + x = 3(4 + x)

Performing the multiplication, we get:

36 + x = 12 + 3x, or

24 = 2x.  Then x = 12.

Check:  In 12 years, will the mother's age be 3 times the son's age?

Does 36 + 12 = 3(4 + 12)?

Does    48      = 48?  YES

The mother will be 3 times as old as her son in 12 years from now.

Answer:

19,177

Step-by-step explanation:

I took the test

Answer:

Option 2

Step-by-step explanation:

Answer:

The answer is 72° I believe

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given the 2 equations

3x + 2y = 4 → (1)

- 2x + 2y = 24 → (2)

Multiplying (2) by - 1 and adding to (1) will eliminate the y- term

2x - 2y = - 24 → (3)

Add (1) and (3) term by term to eliminate y

5x + 0 = - 20

5x = - 20 ( divide both sides by 5 )

x = - 4

Substitute x = - 4 into either of the 2 equations and solve for y

Substituting into (1)

3(- 4) + 2y = 4

- 12 + 2y = 4 ( add 12 to both sides )

2y = 16 ( divide both sides by 2 )

y = 8

solution is (- 4, 8 ) → C

Answer:

rational but not integers:  2/3, -1.8, 3.2, -5/4

Step-by-step explanation:

Answer:3.2

Step-by-step explanation: add them all up and divide by the sample size.

Answer:

The average number of cavities is 3.2

Step-by-step explanation:

To find the answer we will put them in order from least to greatest.  

0, 1, 4, 5, 6.  Now add all the numbers up and we get 16.  Because we are trying to find the average number, we will count up how many numbers there are.  Since their are 5 numbers total, we divide 16 by 5 and we get 3.2.  Therefore, 3.2 is our answer.

Answer:

[tex]28x+8y+2[/tex]

Step-by-step explanation:

Answer: A is your aswer hope thsi helped

Step-by-step explanation:

pleas make brainly

Answer:

the answer is A) subtract 7 on both sides

Step-by-step explanation:

because you need to get the x and numbers on one side so it would be like this

2x+7=23

    -7  -7

2x=16

Answer:

hahhahahqhqhqhhajajahahahahahwhwhwhwhwh

Answer:

I'm here! This Problem is easy :) The answer is 4

Step-by-step explanation:

2x+10=5x−2

Subtract 5x from both sides

2x+10−5x=−2

Combine 2x and −5x to get −3x.

−3x+10=−2

Subtract 10 from both sides.

−3x=−12

Divide both sides by −3.

Divide −12 by −3 to get 4.

[tex]x=\frac{-12}{-4}[/tex]

x = 4 (D)

Answer:

Step-by-step explanation:

there  were 370 children in the swimming pool

Answer:

145 degrees

hope this helps:)

Answer:

Measurement of this angle is 145°

Answer:

Answer is 86514499

Hope you like my answer

Answer:

hello how have u been?

Step-by-step explanation:

Answer:

i think its (687.79)

Step-by-step explanation:

Answer:

687.79

Step-by-step explanation:

since when the number before the digit is five above

And 8 is the hundredth , the one after eight is 5 so it gives 1 to eight that's how you get your answer

Answer:

7/30

Step-by-step explanation:

Answer:  C. 3

-6v<   x       v>-.5

divide by -6  flips the inequality

v> x/-6

so x/-6 = -.5

multiply by -6 on each side

x = -.5 * -6

x=3

Choice B.... 3

Step-by-step explanation:

Answer:

zoom in

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