A simple random sample of 40 salaries of NCAA football coaches has a mean of $415,953. Assume that σ = $463,364. Construct a 95% confidence interval estimate of the mean salary of an NCAA football coach.

$346,352 < μ < $485,554

$295,433 < μ < $536,473

$272,355 < μ < $559,551

$415,952 < μ < $415,954

Answer: 5) F:(1,-1)

6) W:(-3,-2)

Step-by-step explanation:

The relationships between the amount spent on books and the cost of

each book is a proportional relationship.

The correct responses are;

Reasons:

The amount Gaya spends on books = $48

The cost of each book = $ x

(a) The expression in terms of x for the number of books Gaya buys is therefore;

Number of books Gaya buys × $ x = $48

Therefore;

(b) The amount Myra spends to buy books = $60

The cost of each book = $·(x + 2)

The number of books Myra buys = The number of books Gaya buys - 4

We have;

[tex]\displaystyle Number \ of \ books \ Myra \ buys = \frac{48}{x} - 4[/tex]

Which gives;

[tex]\displaystyle \mathbf{\left(\frac{48}{x} - 4 \right) \cdot \left(x + 2 \right)} = 60[/tex]

Using a graphing calculator, we get;

[tex]\displaystyle \frac{4 \cdot x^2 - 20 \cdot x - 96}{x} = 60[/tex]

4·x² - 20·x - 96 = 60·x

Which gives;

4·x² + 40·x - 60·x - 96 = 0

4·x² - 20·x - 96 = 0

x² - 5·x - 24 = 0

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Area of one triangle = [tex]A = \frac{a·b}{2} = \frac{6 \times 3}{2} = \frac{18}{2} = 9 {cm}^{2} \\ [/tex]

For 5 triangles = [tex]9 \times 5 = 45 {cm}^{2} [/tex]

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Answer:

5.3 seconds is needed for one signature.

Hence, for 96 signatures, it would take

[tex]96*5.3=508.8[/tex] seconds.

The number of seconds Lola needs to sign all 96 invitations is,

⇒ 508.8 seconds

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Lola needs to sign 96 invitations.

And, Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name.

Since, No of invitation's =96

And, Time required to sign 1 invitation = 5.3seconds

So, Let the time required to sign 96 invitation = x

Hence, We get;

x = 5.3 x 96

  = 508.8 seconds

Thus, The number of seconds Lola needs to sign all 96 invitations is,

⇒ 508.8 seconds

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Answer:

i wish i could tell you but i suggest that you use a calculator to find your answer.

Step-by-step explanation:

i really hope this helps you!

Answer:

-14.82

Step-by-step explanation:

Answer:

I think by mental math it would be 2.8 feet.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The quotient is 0.62 and the remainder is 0.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given that, 2.48 divided by 4.

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence.

Here,

4|2.48|0.62

  24

  24

_____

   08

   08

_____

    0

So, quotient is 0.62 and remainder is 0.

Therefore, the quotient is 0.62 and the remainder is 0.

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Answer:

y = 5

Step-by-step explanation:

y = (1/4)x + 4

input (x) = 4

plug in 4 for x

y = (1/4)(4) + 4

y = 1 + 4

y = 5

Answer:

because you are good with math

Step-by-step explanation:

Answer:

(4,2)

Step-by-step explanation:

If you move from left to right your X will change if you move up or down your Y will change.

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A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82

Answer:

3,250g

Step-by-step explanation:

22kg = 22,000g - 18,750g = 3250g

Answer:

x ≈ 3.2

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{3.7}[/tex] ( multiply both sides by 3.7 )

3.7 × cos29° = x , then

x ≈ 3.2 ( to the nearest tenth )

Answer:

3.2

Step-by-step explanation:

we have two angles, 29 and 90.

we need one more angle to make the total sum of the angles 180.

the angle to do this is 61.

the area of this triangle so far is 2.90244.

using the area, we can find that the x side is 3.23609.

round 3.23609 to the tenth, we get 3.2

15 students are yet to return for the face to face classes

Given the following parameters

Total number of students in Esteban's classroom = 28 students

If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6

People that are yet to return  = 28 - 12.6

People that are yet to return  = 15.4

This shows that about 15 students are yet to return for the face to face classes

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The standard form of the equation of line will be;

⇒ 11x + 3y = 9

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The equation of line is,

y = -11/3 x + 3

Since, The standard form of the equation of line will be;

Ax + By = C

Where, A, B and C are integers.

Now, We convert the equation of line in standard form as;

The equation of line is,

y = -11/3 x + 3

Multiply by 3 in both sides,

3 × y = 3 (-11/3 x + 3)

3y = 3 × -11/3 x + 3 × 3

3y = - 11x + 9

3y = - 11x + 9

Add 11x both side;

11x + 3y = - 11x + 9 + 11x

11x + 3y = 9

Thus,

The standard form of the equation of line will be;

⇒ 11x + 3y = 9

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Answer:

b = 37

Step-by-step explanation:

3x + 10 = b

(3 x 9) + 10 = 27

27 + 10 = 37

Answer:

b Is 37

Step-by-step explanation:

x Is 9

instead of x you write 9

3x mean 3×X

3×X+10= 3×9+10=27+10=37

Answer:

Y-intercept: (0, -3)

Step-by-step explanation:

Given the two points, (6, 5) and (3, 1):

We can find the y-intercept by using the slope-intercept form, y = mx + b. However, the first step that we must do is to solve for the slope.

We must first solve for the slope of the line using the following formula:

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

Let (x₁, y₁)  = (3, 1)

     (x₂, y₂) = (6, 5)

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{5 - 1}{6 - 3}\:=\:\frac{4}{3}}[/tex]

Hence, the slope of the line is:  [tex]\sf{m\:=\frac{4}{3}}[/tex] .

Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ).  

In order to find the y-intercept, use one of the given points, (6, 5), and the slope, [tex]\sf{m\:=\frac{4}{3}}[/tex], and substitute these values into the slope-intercept form and solve for the value of b:

y = mx + b

[tex]\displaystyle\mathsf{5\:=\:\frac{4}{3}(6)\:+\:b }[/tex]

5 = 8 + b

Subtract 8 from both sides to isolate b:

5 - 8 = 8 - 8 + b

-3 = b

Therefore, the y-intercept is (0, -3), where b = -3.  

The range of a function is the possible output values the function can have.

The range of the function is all real values except 0

The function is given as:

[tex]\mathbf{y = \frac{1}{4x + 1}}[/tex]

When the denominator of the function is 0, the function would not have a real value.

This means that:

[tex]\mathbf{y \ne 0}[/tex]

i.e. the value of y cannot be 0.

Hence, the range of the function is all real values except 0

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Answer:

y column: 1st = -7 , 2nd = -5 , 3rd = -3 , 4th = -1 , 5th = 1

Answer:

246

Step-by-step explanation:

Given that,

→ what is 492 divided by 2 ?

In mathematical form,

→ 492 ÷ 2

→ 246 {final answer}

Hence, the answer is 246.

Answer:-2x < 10.

Step-by-step explanation:

Answer:

<A=67⁰

<B=22⁰

<C=42⁰

Answer:

a = 67° , b = 26° , c = 69°

Step-by-step explanation:

a and 67° are corresponding angles and are congruent , so

a = 67°

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

The triangle on the left has 3 equal sides thus is equilateral with 3 congruent angles of 60°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , that is

b + 34° = 60° ( subtract 34° from both sides )

b = 26°

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

The vertex of the triangle and 42° are vertically opposite and are congruent

vertex = 42°

The triangle has 2 equal legs and is isosceles with 2 base angles congruent.

c = [tex]\frac{180-42}{2}[/tex] = [tex]\frac{138}{2}[/tex] = 69°

Answer:

$8

Step-by-step explanation:

20% of $40

= [tex]\frac{20}{100}[/tex] × $40

= 0.2 × $40

= $8

$8 is discounted from the regular price

Answer:

$8 off

Step-by-step explanation:

Convert from a percentage to a multiplier by dividing by 100:

[tex]\frac{20}{100}=0.2[/tex]

Then multiply that by the price:

[tex]40*0.2=8[/tex]

meaning the item is $8 off.

You can confirm that like so:

[tex]\frac{8}{40} =0.2\\[/tex]

or 20%

[tex](n \times (12 + 18)) + 43 = 103[/tex]

[tex]30n + 43 = 103[/tex]

Subtract both sides 43

[tex]30n + 43 - 43 = 103 - 43[/tex]

[tex]30n = 60[/tex]

Divide both sides by 30

[tex] \frac{30n}{30} = \frac{60}{30} \\ [/tex]

[tex]n = 2[/tex]

Answer:

8 inches

Step-by-step explanation:

Area of a triangle:

[tex]a=bh/2[/tex]

We're given 2 variables already, area and base, so we just need to plug those in and solve for the 3rd variable.

[tex]40=10h/2\\40=5h\\8 = h\\h = 8[/tex]

Answer:

8

Step-by-step explanation:

a right triangle is half of a square, so (10*8)/2=10*4=40.

Answer:

Answer: 14.5 pounds

Step-by-step explanation:

Step-by-step explanation: Do 5.8 times 2.5

Answer:

14.5 lb

Step-by-step explanation:

1 bag weighs 5.8 lb.

2.5 bags weight 2.5 × 5.8 lb

2.5 × 5.8 lb = 14.5 lb

Answer:

a) -5 meters

b)160°C

Step-by-step explanation: