What is the measure of ∠E? Enter the correct value. Do not enter the degree symbol.

Answer:

2307 ways

Step-by-step explanation:

Given

Candidates: 5

Men (Applicants): 14

Women (Applicants): 6

Job Positions: 5

Man = 3

Women = 2

Required:

Number of possible outcomes

This question represent selection; i.e. selecting candidates for job positions;  

This question can be solved by using Permutations/Selection formula

Given that 3 man are to be selected from 14 men and 2 women from a total of 6 women

Let M represent Men and W represent Woman

Number of ways = M + W

Calculating M

[tex]M = nPr[/tex]

Substitute nPr with its formular

[tex]M = \frac{n!}{(n-r)!}[/tex]

Where n = 14 men and r = 3 applied

[tex]M = \frac{14!}{(14 - 3)!}[/tex]

[tex]M = \frac{14!}{11!}[/tex]

[tex]M = \frac{14*13*12*11!}{11!}[/tex]

[tex]M = 14*13*12[/tex]

[tex]M = 2184[/tex]

Calculating W

[tex]W = nPr[/tex]

Substitute nPr with its formula

[tex]W = \frac{n!}{(n-r)!}[/tex]

Where n = 6 men and r = 2 applied

[tex]W = \frac{6!}{(6-2)!}[/tex]

[tex]W = \frac{6!}{2!}[/tex]

[tex]W = \frac{6*5*4*3!}{2!}[/tex]

[tex]W = 6*5*4[/tex]

[tex]W = 120[/tex]

Recall that Number of ways = M + W

Number of Ways = 2184 + 123

Number of Ways = 2307

Answer:

I'm not sure, but I think it is (0, -6).

Answer:

11 people are in each squad.

Step-by-step explanation:

A battalion of 880 people is made up 4 companies.

880/4 = 220 people

which means 1 company is made up of 220 people.

Each company is made up of 5 platoons.

220/5 = 44

which means each platoon is made up of 44 people

Each platoon contains 4 squads

44/4=11

which means each squad contains 11 people.

therefore each squad contains 11 people.

Answer:

Alex: 18

Thomas: 12

Step-by-step explanation:

A : T : TOTAL

3 : 2 : 3 + 2 = 5

total number of units : 5

total number of sweets : 30

1u = 30 ÷ 5 = 6

Alex = 3u = 3 × 6 = 18

Thomas = 2u = 2 × 6 = 12

Answer:

x > -3

Step-by-step explanation:

-3x - 3 < 6

Add 3 to each side

-3x - 3+3 < 6+3

-3x < 9

Divide by -3 remembering to flip the inequality

-3x/-3 > 9/-3

x > -3

Answer:

24

Step-by-step explanation:

Alright so the number has to be above 20 and below 35.

It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34

Since the sum of the digits has to be 6, the only number from that list that it can be is 24.

This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.

Hope this helps!

Answer:

24

Step-by-step explanation:

This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.

Hope this helps!

Answer:

Please mark me brainliest and I hope this helped!

w = 89°

Step-by-step explanation:

For this triangle, we have to get the supplementary angle of 122°. 180° - 122° is 58°. We then take 58° and add it to 33°. That is 91°. To find w, we subtract 91° from 180°. That gives us 89°.

Answer:

89

Step-by-step explanation: I took the test

Answer:

4 days

Step-by-step explanation:

8 people can do the job in 6 days, job is this case is picking apples.

1 person can do same job for 6*8= 48 days

12 people can do same for 48/12= 4 days

Answer:

Just saying that there are links people post that scam you and this is requird by Brainly

Step-by-step explanation:

Answer:

C. 9.6 cm

Step-by-step explanation:

This is all about unit rate. In this scenario the unit rate is 50/1 and for 480 km that fraction would be 480/x so we could either do cross multiplication or divide across the numerator and denominators.  Let's divide. 480/50 is equal to 9.6. Seeing as that is what helped us get from numerator a to numerator b we would then multiply that in our denominators. So, 1*9.6 is equal to 9.6 so the amount of cm for 480 km is 9.6 cm.

Answer:

Range { -8,-3,5,7}

Step-by-step explanation:

The range of the function is the output values

Range { -8,-3,5,7}

Answer:

D

Step-by-step explanation:

8, -3, 5, 7

List of all possible outputs

Answer:

4

Step-by-step explanation:

Answer:

37.5 mL

Step-by-step explanation:

If x is the volume of water, then:

(0.45)(300) + (0)(x) = (0.40)(300 + x)

135 = 120 + 0.40x

15 = 0.40x

x = 37.5

The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given;

45% of a 300ml drink is concentrated pineapple juice.

If x is the volume of water, then we get;

(0.45)(300) + (0)(x) = (0.40)(300 + x)

135 = 120 + 0.40x

15 = 0.40x

x = 37.5

Hence, The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ5

Answer:

the answer is B

Step-by-step explanation:

100 on the plato test

Answer:

A. the average income earned

B. the average tax rate

C. the minimum tax rate

D. the next year's tax rate

Step-by-step explanation:

Plato Users

Answer:

x degrees = 50 degrees.

x + 50 degrees = 50  + 50 = 100 degrees

(180 - 3x) degrees = (180 - 3*50) = 30 degrees.

Step-by-step explanation:

In a triangle, the sum of all inside angles must be 180 degrees.

In this question:

The inside angles are: x, x + 50 and 180 - 3x.

Then

x + x + 50 + 180 - 3x = 180

2x - 3x = -50

x = 50

So

x degrees = 50 degrees.

x + 50 degrees = 50  + 50 = 100 degrees

(180 - 3x) degrees = (180 - 3*50) = 30 degrees.

Answer :

[tex](x1 \: \: y1) = ( - 2 \: - 5) \\ (x2 \: \: y2) = (10 \: \: 7)[/tex]

I hope it helps :)

Answer:

1/3

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

180-153=b

b=27

Answer:

B) 27

Step-by-step explanation:

Because 153 and b are a linear pair, their angle measures must add up to 180 degrees. Therefore:

153+b=180

b=180-153

b=27

Hope this helps!

Answer:

Slope: -2/5

Step-by-step explanation:

To find slope, use: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Answer:

Step-by-step explanation:

angle pair for vertical angles is called straight angle....

the joining between two pages of a book is a vertical angle....

the road itself is a vertical angle

Answer:

B.

Step-by-step explanation:

total chips = 6

chips not including yellow= 4

simplify 4/6 = 2/3

Answer:

When x=2 the expression is undefined

Step-by-step explanation:

When the denominator is zero, the expression is undefined

2x-4 =0

2x=4

x=4/2

x=2

When x=2 the expression is undefined

Answer:

A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!

Answer:

the mean (average) is 4

Step-by-step explanation:

add all the numbers together (100) and then divide by the number of patients (25).

Answer:

Solution of the system of equations will be (6, 6).

Step-by-step explanation:

Table for the first equation,

[tex]y=\frac{1}{2}x+3[/tex]

x          0          2         4         6         8      

y          3          4         5         6         7

(x, y) (0, 3)    (2, 4)   (4, 5)    (6, 6)   (8, 7)

We have got the values of y by substituting the values of x in the given equation for the table.

Similarly, for the other equation,

y = 2x - 6

x           0          2         4           6           8

y          -6         -2         2           6          10  

(x, y)  (0, -6)   (2, -2)  (4, 2)   (6, 6)    (8, 10)

By analyzing both the tables we find (6, 6) is a common point in both the tables.

That represents the points of intersection of both the lines.

Therefore, solution of the system of equations will be (6, 6)

Answer:

A = 25pi

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 5

A = pi 5^2

A = 25pi

Step-by-step explanation:

Let F represent fruitshake and C chocolate milkshake

one fruitshake cost more 2R more than chocolate shake and

3F + 5C = R78,00

Then (78 - 6) ÷ 8 = 9

a fruitshake costs R11,00 and chocolate milkshake costs 9R,00

Answer:

2y° + x° + y° + 2x° + (180-33)° = 360°

3x + 3y + 147 = 360

3(x+y) = 360 - 147

3(x+y) = 213

x+y = 71

2y + 2x + K = 180

2(x+y) + K = 180

2 *71 + K = 180

142 + K = 180

K = 38°

the last one

Answer a on edge

Step-by-step explanation:

Answer:

B. 13

Step-by-step explanation:

[tex]10+(\frac{1}{2}) ^{4} *48=\\\\10+\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*48=\\\\10+\frac{1}{16}*48=\\\\10+\frac{48}{16}=\\\\10+3=\\\\13[/tex]

Answer:

Step-by-step explanation:

First, use PEMDAS

Parenthesis, Exponents, multiplication, division, addition, subtraction

1/2 * 1/2 * 1/2 * 1/2 = 1/16 = Parenthesis and Exponents

1/16*48 = 48/16 = 3 = Multiplication and Division

3+10 = 13 = Addition

This can conclude that 13 is the answer.

Answer :

x = 2

y = -1

I hope it helps