A manufacturing company has 5 vice presidents: Andrew, Beth, Charles, Diane, and Eric.

Their regional responsibilities are shown in the table.

Vice President Regional Responsibility
Andrew East
Beth East
Charles East
Diane West
Eric West
The president of the company wants to randomly select 2 of the 5 vice presidents to send to a conference. How many distinct groups of 2 vice presidents can be selected without replacement from this small population of 5 vice presidents?

2
4
5
10

Answer:

3cm for width and 8cm for length the area for the rectangle is 24cm

Answer:

Area 684 m squared

Step-by-step explanation:

26 + 46 = 72

72/2 = 36

36 x 19 = 684

Hope this helps!

Answer:

1028.5 is the mean

Answer:

481.75

Step-by-step explanation:

To find the mean add up all the numbers in the data set :

8 + 445 + 276 + 1198 = 1927

divide the numbers by how many numbers are in the data set :

1927 ÷ 4 = 481.75

Therefore, the mean in the data set 481.75

Answer:

15/8

Step-by-step explanation:

Assuming you mean tan theta

Tan(theta) = opposite/adjacent

We know the adjacent side is 8 so the bottom of the fraction must also be 8

C: 15/8 is the only option that fits this criteria

The value of tangent of the angle θ, i.e., tan θ = 15/8.

Hence the correct option is c.

Given is a right triangle, with base = 8 units and the hypotenuse is 17 units,

The angle θ which is between the base and the hypotenuse,

We need to find the value of tangent of the angle θ, i.e., tan θ.

To find the value of tangent (tan) of the angle θ, we can use the definition of tangent in a right triangle.

The tangent of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

In this case, the base of the triangle is given as 8 units, and the hypotenuse is given as 17 units.

To find the length of the side opposite θ, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we can calculate the length of the side opposite θ:

(side opposite θ)² + (base)² = (hypotenuse)²

(side opposite θ)² + 8² = 17²

(side opposite θ)² + 64 = 289

(side opposite θ)² = 289 - 64

(side opposite θ)² = 225

side opposite θ = √225

side opposite θ = 15 units

Now that we have the lengths of the side opposite θ and the side adjacent to θ, we can calculate the tangent of the angle θ:

tan θ = (side opposite θ) / (base)

tan θ = 15 / 8

Therefore, the value of tangent (tan) of the angle θ is 15/8.

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Answer:Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

Answer:

x = 6

Step-by-step explanation:

I'm not sure if it's correct

Answer:

false

Step-by-step explanation:

200oz= 12.5 pounds

Answer:

false

Step-by-step explanation:

12 pound=192 ounces

Answer:

TBH I don't really know either, but 63, 360?

Step-by-step explanation:

If they give you a number in feet, and they want inches time the number by 12? (12 inches in a foot)...sorry idrk...

Answer and Step-by-step explanation:

We are told that there are 5,280 feet in 1 mile.

We also know that 1 foot equals 12 inches.

So, to know how many inches are in One mile, we must multiply 5280 by 12.

     1    

  5280

×      12

______

 10560

+52800

_______

63360

So, the amount of inches that are in 1 mile is 63,360.

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

a. Josh Studies more after earnings Low Test score is

when Y = in 15 Score Josh Time to Studies are 0 Hours

b. There is no association Between hours studied & Test Score = Nope ...After Josh GOT much Time to Studies He Can Make 98 Scores with 7 Hours Time Studies and average data can show is josh average time in studies comparing to Hours his make much scores

c. There is Positive Association Between hours & Test Score Yes

d. Nope

Find total centimeters by multiply total steps by centimeters per step:

15 x 60 = 900 centimeters total needed.

Convert centimeters to meters by dividing total centimeters by 100:

900/100 = 9

He will need 9 meters

Answer:

Ms nelson need 900 centimeters of carpet

Step-by-step explanation:

15 times 60 cm = 900cm

Answer:

x = 180 - 50 - 86 = 44°

Answer:

81

Step-by-step explanation:

dude, it's one of the fast facts

Answer:

81

Step-by-step explanation:

We can round one of the 9's to ten then multiply it

9*10=90

then subtract the 9 that we added

90-9=81

Answer:

The change will be $4.75

Step-by-step explanation:

Given data:

Monday

Total paid = 5.45

milk bought =3

coffee bought = 4

doughnuhts = 7

Tuesday

Total paid = 5.30

milk bought =4

coffee bought = 2

doughnuhts = 8

Wednesday

Total paid = 5.15

milk bought =2

coffee bought = 5

doughnuhts = 6

Thursday

Total paid = X

milk bought =5

coffee bought = 2

doughnuhts = 9

Let milk be m, Let coffee be c and Let doughnuts be d

3m + 4c + 7d = 5.45 (eqaution 1)

4m + 2c + 8d = 5.30 (equation 2)

2m + 5c + 6d = 5.15 (equation 3)

Using equation 1 and equation 2 ( to eliminate m)

3m + 4c + 7d = 5.45 (Multiply the whole equation by 4)

4m + 2c + 8d = 5.30 (Multiply the whole equation by 3)

12m + 16c +28d = 21.8

12m + 6c +24d = 15.9   (Subtracting the two equations)

0m +10c + 4d = 5.9

therefore 10c +4d = 5.9 (equation 4)

Using equation 2 and equation 3 (to eliminate m)

4m + 2c + 8d = 5.30 (Multiply the whole equation by 2)

2m + 5c + 6d = 5.15 (Multiply the whole equation by 4)

8m + 4c + 16d = 10.6

8m +20c +24d = 20.6  (Subtracting the two equations)

0m -16c -8d = -10

-16c -8d = -10 (equation 5)

Solving equation 4 and equation 5( to eliminate d)

10c +4d = 5.9 (Multiply whole equation by 8)

-16c -8d = -10 (Multiply whole equation by 4)

80c + 32d = 47.2

-64c  -32d = -40 (Adding the equations)

16c              =7.2

therefore c = 0.45

Substituting into equation 4

10(0.45) + 4d = 5.9

4.5 + 4d = 5.9

4d = 5.9-4.5

4d = 1.4

therefore d = 0.35

Substituting c and d into equation 1

3m + 4c + 7d = 5.45

3m + 4(0.45) + 7(0.35) = 5.45

3m + 1.8 + 2.45 = 5.45

3m = 5.45-2.45-1.8

3m = 1.2 therefore m = 0.4

Alphonse has to pay 3m + 2c + 9d

Alphonse change will be 10 - (3m + 2c + 9d) (Substituting m, c and d)

10- (3(0.4) + 2(0.45) + 9(0.35) = 10 -(1.2+0.9+3.15)

which simplifies to 10- 5.25=4.75

The change will be $4.75

Answer:

256,781

Step-by-step explanation:

Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].

What is the sequence?

A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given sequence is

[tex]1,4, 16, 64, -,-,[/tex]

So,

[tex]1\\1(4)=4\\16(4)=64\\64(4)=256\\256(4)=1024[/tex]

Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].

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Answer:

Formula: V = (2/3) π r 3.

Radius is 3cm.

So, now we can plug it in to solve for the volume.

V = (2/3) π 3^3

First, let's multiply 3^3.

3^3 = 27

Then, 27 x π = 84.82

After, multiply by 2/3.

84.82 x 2/3 = 56.55

Lastly, round 56.55 to the nearest tenth of a cubic centimeter.

56.55 = 56.6

Therefore the volume of a hemisphere with a radius of 3cm is 56.6cm^3.

Step-by-step explanation:

hoped this helped

Answer:

30

Step-by-step explanation:

Answer:

FALSE

Step-by-step explanation:

In order to solve this equation,

First, we must write it out

3(x - 5) = 2(x - 5) + x

Then, we must use the Distributive Property

3x - 15 = 2x - 10 + x

Next, we must Combine Like Terms

3x - 15 = 3x - 10

Finally, we can Subtract The Coefficients

-15 = -10

Because -15 does not equal to -10, this equation has no solution

IT IS FALSE

if you have more questions, comment me below or add another question

Answer:

first blank is "Permutation", i dont know what the second blank is but its not 17550

Step-by-step explanation:

This is an example of a permutation. There are 421,200 possible arrangements of first through fourth place winners.

"A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order."

We need to arrange 27 swimmers for 4 positions

Hence, the numbers are 27P4

= [tex]\frac{27!}{(27-4)!}[/tex]

[tex]=\frac{27.26.25.24.23!}{23!}[/tex]

[tex]=421,200[/tex]

Hence, the given situation is an example of permutation with 421,200 possible arrangements.

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Answer:

1200

Step-by-step explanation:

Answer:

OKay I am decent at geomentry and am in 7th grade but i can't help u if i have no clue whats ur problem? btw i suck at math in general but geomentry i can help with

Step-by-step explanation:

Answer: arc ef is 68

Step-by-step explanation:

Since EF and FG are the same length (given)

and DE and DG are the same length (both are radius of the circle)

and DF is a shared side, the 2 inscribed triangles are congruent, making angle EDF also 68

The measure of an arc is the same as the measure of the angle across from it

Answer:

$13.05

Step-by-step explanation:

The prize will be $13.05 after the discount.

29x45%=13.05

        OR

29x0.45=13.05

Answer:

In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined.

Step-by-step explanation:

hope i helped plz mark me brainlest;(

Answer:

point, line and plane.

Step-by-step explanation:

all other terms in Geometry can be defined.

Answer:

$520

Step-by-step explanation:

1% of x is x times 0.01.

that means 10%of x is x times 0.1.

400 times 0.1 is 40.

40 is 10% of 400.

it was marked up by 30% so we need to times by 3.

40 times 3 is 120.

it was marked up so its addition.

400+120=520

Answer:

c. 8

Step-by-step explanation:

1)  [tex]g(x)=8(\frac{1}{2} )^{x}[/tex]

2)  [tex]g(0)=8(\frac{1}{2} )^{0}[/tex]

3)  [tex]g(0)=8*1[/tex]

4)  [tex]g(0)=8[/tex]

Answer:

I believe the answer is=2x2+342.