A community college employs 88 full-time faculty number. To gain the faculty opinions about an upcoming building project, the college president wishes to obtain a simple random sample that will consist of 9 faculty number. He numbers the faculty form 1 to 88.

Answer:

Step-by-step explanation:

The approximate measurements of the central angle of the slice of pizza Charles cut will be 164 degrees. The correct option is B.

The arc length of a circle can be calculated with the radius and central angle using the arc length formula.

Arc length = ∅/360 × 2πr

Given that pizza is 15 inches the slice has an arc length of 21.5 inches along the crust.

Use the formula above to calculate the value:-

Arc length = ∅/360 × 2πr

21.5  = ∅/360 × 2π ( 7.5 )

∅ = ( 21.5 x 360 ) / 2π ( 7.5 )

∅ = 164 degrees

Therefore, the approximate measurements of the central angle of the slice of pizza Charles cut will be 164 degrees. The correct option is B.

Learn more about the arc length on:

brainly.com/question/2005046

#SPJ5

Answer:

Step-by-step explanation:

im ka$hdami a 16yr old rapper i made the viral songs (reperations) (Look N the Mirror) and (Kappin Up) check out my new songs out on all platforms

V= 4 i mean thats the best i can give sorry good luck pretty sure its right

Answer:

Yes.

Step-by-step explanation:

A triangle is a right triangle if the sides satisfy the Pythagorean Theorem, or:

a² + b² = c².

So input the values.

a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

The triangle with sides 3 m, 4 m, and 5 m is a right triangle.

Answer:

Yes, it's a right triangle.

Step-by-step explanation:

We can use the Pythagorean theorem to help.

The theorem states that if a triangle is right, [tex]a^{2} + b^{2} = c^{2}[/tex].

C is the longest side of the right triangle or the hypotenuse.

A and b are the other 2 sides

5 is the greatest so that must be [tex]c[/tex].

4 and 3 are [tex]a[/tex] and [tex]b[/tex]. (It doesn't matter which is a and which is b)

Plug in the numbers:

[tex]4^2 + 3^2 = 5^2[/tex]

Solve:

16 + 9 = 25

25 = 25

This triangle is a right triangle!

Answer:

TC (A) = 40x , TC (B) = 500 + 20x

Step-by-step explanation:

Let the number of students be = x

Hall A Total Cost

Relationship Equation, where TC (A) = f (students) = f (x)                                40 per person (student) = 40x

Hall B Total Cost

Relationship Equation, where TC (B) = f (students) = f (x)                          500 fix fee & 20 per person (student) = 500 + 20x

Answer:

the sequence is adding 5 the next number would be 22

hope this helps

have a good day :)

Step-by-step explanation:

7, 12, 17, 22, 27 . . .  (5n + 2)

n = 1, => 7

n = 2, => 12

n = 3, => 17

n = 4, => 22

Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x + 4y = 12

4y = -3x +12

y = (-3/4)X + 12/4

y = -[tex]\frac{3}{4}[/tex]X  + 3

Answer: mutually exclusive are:

ii. Sit down and stand up

ii. Sit down and stand upiii. Two dice: Odd and Even

because they can not occur same time

Mutually exclusive events don't occur at same ineterval and are not dependent upon each other

Here

They are

Answer:

36

Step-by-step explanation:

Answer:

30.2 is the answer (use distrubutyion in this problem)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

$0.42

Step-by-step explanation:

create a proportion:

13/.78 = 7/x

cross-multiply to get:

13x = 7(.78)

13x = 5.46

x = 5.46/13

x = .42

Answer:

-5,4

Step-by-step explanation:

Answer:

2x + 3/4 - 3x - 2/5 - 6 x - 5/20 is less than 13/4

Step-by-step explanation:

Do you want to know how I know it's because it equals   −8

Answer:

Larger groups tends to take less time to solve the puzzle.

Step-by-step explanation:

It is given that Vincent gathered few groups from 1 to 8 people and he gave them the same puzzle to solve for each group. The graph is provided which show the relationship between the number of groups and the time taken by each group to solve the puzzle.

From the graph, it cam be seen that, the larger groups is more likely to take less amount of time to solve the puzzle as compared to the smaller groups.

Answer:

B

Step-by-step explanation:

Khan Academy says so

Answer:

Answer:

the new area is 1% smaller.

Step-by-step explanation:

the area of a rectangle is length times breadth.

let's call them a and b

Area = a × b

now, a is increased by 10%. that means it is multiplied by 11/10.

because 100% means the whole thing, 1% means a 1/100th part of the whole. and 10% then means 10 times the 1/100th part of 10 × 1/100 = 10/100 = 1/10

if then simmering increases by 10% it means that it is the original 100% plus 10%.

so, it is 100/100 + 10/100 = 10/10 + 1/10 = 11/10

therefore the new length is

a(new) = a(old)×11/10

in exactly the same way, when the breadth is reduced by 10% we get then

breadth(new) = breadth(old)×9/10

so, Area(new) = a(new)×b(new) = a(old)×11/10 × b(old)×9/10

remember, Area(old) = a(old)×b(old)

so, Area(new) = a(old)×b(old) × 11/10 × 9/10 =

= Area(old) × 11/10 × 9/10 =

= Area(old) × 99/100

that means the new area has lost compared to the old area 1/100th of its size. 1/100th = 1%

Answer:

51.

Step-by-step explanation:

Step 1: Define/explain.

To find the range of a data set, subtract the smallest number from the largest number.

Step 2: Solve.

[tex]14, 23, 6, 54, 30, 26, 17, 3, 26[/tex]

[tex]54-3=51[/tex]

Step 3: Conclude.

I, therefore, believe the range of this data set is 51.

Answer:

3x-5+6x+14=180

9x+9. =180

9(X+1).= 180

X+1. =20

X= 19

Answer:

Quadrant III

Step-by-step explanation:

Quadrant I = 1 - 90°

Quadrant II = 91 - 180°

Quadrant III = 181 - 270°

Quadrant IIII = 271 - 360°

Answer:

B. (2, 1/64)

Hope this helps!

Answer: 536.142 in^2

Step-by-step explanation:

trust the loli dragon jesus

Answer:

c. 39

Step-by-step explanation:

you have to find the middle of this. 39 is the middle.

First the top right quart

area = 16, 4 * 4

Then the top left quart

making a 2 by 4 triangle followed with 4 additional square

making 2 * 4 * 1/2 = 4 + 4 meaning area = 8

then the bottom quart

Making a large triangle of 7 by 3

meaning 7 * 3 * 1/2 = 10.5

total area = 16 + 8 + 10.5 = 34.5

Answer:

Solution given;

for sphere

radius [r]:12inches

another

radius [R]:9inches

Now

difference in volume of sphere:

volume of sphere of having radius [r-R]

=[tex] \frac{4}{3} πr³[/tex]-[tex] \frac{4}{3} πR³[/tex]

=[tex] \frac{4}{3} π[/tex](12³-9³)

= 1332π cubic inches

The volume of the larger sphere is ___1332__π cubic inches greater than the volume of the smaller sphere.