The ages of MBA students at a university are normally distributed with a known population variance of 10.24. Suppose you are asked to construct a 95% confidence interval for the population mean age if the mean of a sample of 36 students is 26.5 years. If a 99% confidence interval is constructed instead of a 95% confidence interval for the population mean, then _______________________________________________.

Answer:

h=4

Step-by-step explanation:

5²-3²=h²

h²=16

h=4cm

Answer:

I=4 (Slant height)

R=3 (Radius)

H=5 (slant height)

Step-by-step explanation:

Imagine inclination, peprendicular height and radius as a triangle, so this will have a 90 degrees angle and Pythagor theorem will imply to the calculations, as :

[tex]a^{2}+b^{2}= c^{2}\\[/tex]

where Height is A , Radius is B, and Inclination is C we have:

[tex]3^{2} +I^{2} = 5^{2}[/tex]

from above we have:

[tex]I^{2} =25-9[/tex]

and

[tex]\sqrt{I}=\sqrt{16} =4[/tex]

Answer:

the axis of symmetry would be: b. x=2

The equation of the axis of symmetry of the parabola will be x = 2. Then the correct option is B.

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 equation is given below.

y = 3x² - 12x + 11

Convert the equation into a vertex form. Then we have

y = 3x² - 12x + 11

y = 3x² - 12x + 12 - 1

y = 3(x² - 4x + 4) - 1

y = 3(x - 2)² - 1

The equation of the axis of symmetry of the parabola is given as,

x - 2 = 0

x = 2

The equation of the axis of symmetry of the parabola will be x = 2. Then the correct option is B.

More about the equation of the parabola link is given below.

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Answer:

Step-by-step explanation:

40cm—0.4m

4000mm=4m

4mm=0.4cm

4m=400cm

40km=40,000m

Can’t see the last box in the left line.

1km=1000m

1m=100cm

1cm=10mm

Answer:

X is 15 and Y is 40° That's the answer

Answer:

here you go

Step-by-step explanation:

Answer:

2.565

Step-by-step explanation:

Hope that this helps!

Answer:

7/11

Step-by-step explanation:

take the numirater and divide by denominator

7÷11=0.6363....

Answer:

like owlowlowl said '7/11'

Answer:

the 3rd box

Step-by-step explanation:

Answer:

[tex]5^{-1}[/tex]

Step-by-step explanation:

5⁻⁴ ÷ 5³

Since they have the same base we can combine the exponents. Since we have a division sign, we add the exponents

5⁻⁴⁻³

5⁻¹

Answer:

C.

Step-by-step explanation:

The Domain is 1,2,3,4,5,6 because the line passes through there. The y-intercept is 1,2,3,4,5,6,7 because that is where it passes through.

If this helps please mark as brainliest

Answer:

Clearly, the probability of drawing a heart out of the deck is 13/52, or 1/4. The probability of drawing an even number as card #2 (∈{2,4,6,8,10}) for any suit is 20/51, except when the first card drawn is an even heart, then the probability of the second draw is 19/51.

Answer:

y - 5 = 6(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 6 and (a, b) = (- 2, 5) , then

y - 5 = 6(x - (- 2)) , that is

y - 5 = 6(x + 2)

Answer:

30,122

Step-by-step explanation:

This probably isn't the fastest way to solve but....

28,337x1.26%= 357

357x5=1785

28,337+1785=30,122

The 5 came from the # of years the population is increasing

We are required to find the population of Rexburg will be in the year 2022

The population of Rexburg will be in the year 2022 is 30,122 people

Given:

2017 population = 28,337 people

Growth rate per year = 1.26%

let

n = number of years between current and predicted

= 2022 - 2017

n = 5 years

Yearly growth rate = 28,337 × 1.26%

= 28,337 × 0.0126

= 357.0462

Predicted population in 2022 = 2017 population + (357.0462 ×5)

= 28,337 + 1,785.231

= 30,122.231

Approximately, 30,122 people in 2022.

Therefore, the population of Rexburg will be in the year 2022 is 30,122 people

Read more:

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Answer:

B.

Step-by-step explanation: it is A. not B.

Answer:

Step-by-step explanation:

3/5x+30=150

We move all terms to the left:

3/5x+30-(150)=0

Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R

We add all the numbers together, and all the variables

3/5x-120=0

We multiply all the terms by the denominator

-120*5x+3=0

Wy multiply elements

-600x+3=0

We move all terms containing x to the left, all other terms to the right

-600x=-3

x=-3/-600

x=1/200

Answer:

y-intercept: [tex](0,-\frac{5}{2} )[/tex]

x-intercept: [tex](-2,0)[/tex]

Step-by-step explanation:

Hi there!

Important things to note:

1) Find the y-intercept

[tex]-5x-4y=10[/tex]

Substitute x with 0

[tex]-5(0)-4y=10\\0-4y=10\\-4y=10[/tex]

Divide both sides by -4

[tex]\frac{-4y}{-4} =\frac{10}{-4} \\y=-\frac{5}{2}[/tex]

Therefore, the y-intercept is [tex]-\frac{5}{2}[/tex]. When written in (x,y) form, x will always be 0 while y is the y-intercept:

[tex](0,-\frac{5}{2} )[/tex]

2) Find the x-intercept

[tex]-5x-4y=10[/tex]

Substitute y with 0

[tex]-5x-4(0)=10\\-5x-0=10\\-5x=10[/tex]

Divide both sides by -5

[tex]-5x=10\\\frac{-5x}{-5}= \frac{10}{-5} \\x=-2[/tex]

Therefore, the x-intercept is -2. When written in (x,y) form, x will always be the x-intercept while y is always 0:

[tex](-2,0)[/tex]

I hope this helps!

Answer:

47

Step-by-step explanation:

if there are 100 total and 45 are girls, then there are 55 boys enrolled. since 8 are absent- 55-8=47

Answer:

y=-32, 0, -16, -4, 16

Step-by-step explanation:

y=4(-6)-8= -32

y=4(2)-8 = 0

y=4(-2)-8 = -16

y=4(1) -8 = -4

y=4(6) -8= 16

For the given equation of the line, the complete table is attached below.

Use the concept of the equation of line defined as:

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.

The given equation of a line is,

y = 4x - x

To complete the table:

Put x = -6 in this equation,

y =  (-4)(-6) - 8

y = 16

Put x = 2 in the equation,

y =  (-4)(2) - 8

y = -16

Put x = -2 in the equation,

y =  (-4)(-2) - 8

y = 0

Put x = 1 in the equation,

y =  (-4)(1) - 8

y = -12

Put x = 6 in the equation,

y =  (-4)(6) - 8

y = -32

The complete table is attached below.

To learn more about the equation of line visit:

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Answer:

382

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

2 × (2 - 6 + 3 + 64 × 3)

Step 2: Evaluate

Answer:

$77

Step-by-step explanation:

Okay so first, we know that the bicycle is 220 dollars. So we got to  multiply that to the percent. We can't muiltiply it into the percent yet so we turn that percent into 0.35

220 * 0.35

This equals to 77. That's the answer but it's not that simple, cause we aren't finished!

So we know that 35 percent of 220 is 77 dollars. So subtract that to 220!

220 - 77

This is equal to 143. Now how much will he save? He will save 220 - 143, which is 77! That's how we know the answer! I'm sure this is correct, if itsn't please comment! Have a great day!

Answer:

$143

Step-by-step explanation you wanna see how much 35% is out of 220

35% = 0.35

220 * 0.35 = 77 = discount

Now you want to see how much it will be when the discount is applied

220-77 = 143

The bicycle is $143 when discount is applied, you save $77

Answer:

Step-by-step explanation:

Answer:

Alternate interior

This is your answer

Answer:

alternative .....................

just give the other kid brainiest

Step-by-step explanation:

Answer:

£2200

Step-by-step explanation:

1 computer = £120 + £100

1 computer = £220

10 computers = £220 x 10

10 computers = £2200

9514 1404 393

Answer:

  x = -29/6 = -4 5/6

Step-by-step explanation:

The equation simplifies to ...

  ln(-3x·4) = ln(58)

Taking antilogs, the equation becomes ...

  (-3x)(4) = 58

Dividing by -12 shows us the value of x.

  x = -58/12

  x = -29/6 = -4 5/6

__

The applicable rule of logarithms is ...

  ln(ab) = ln(a) +ln(b)

Answer:

7x - 4x = 21

3x = 21

x = 21÷3

x = 7

Answer:

25%

Step-by-step explanation:

[tex] \frac{20}{80} = \frac{1}{4} = 0.25 = 25\%[/tex]

Answer:

16.2

Step-by-step explanation:

a²+b²=c²

a=10, b=y, c=19

100+y²=361

y²=361-100

y²=261

√y²=√261

y=√261

y=16.2

Answer:

A, because its reflecting off of the y axis

Step-by-step explanation:

I have proof links, and I took the test

Answer:

4.upon

Step-by-step explanation: