Evaluate each expression for a= -2, b = -4.1, and c=5.
1) a - b + c

2) -c + b - a

3) -a + ( -c)

Answer:

your answer is A

Step-by-step explanation:

Answer:

10¢

Step-by-step explanation:

First, to be able to differentiate between the B&W and Color copies, use x in place of the B&W copies and y in place of the Color copies.

Then, write a system of equations to solve (the system of equations input was not working, so there is no brace):

 8x + 2y = $1.20

 10x + 10y = $3.00

Then, solve the system of equations:

   8x +  2y = $1.20

 10x + 10y = $3.00

Isolate x to be able to substitute:

8x + 2y = $1.20

8x = -2y + 1.2

x = -2/8y + 1.2/8

x = -0.25y + 0.15

Substitute:

10x + 10y = $3.00

10 (-0.25y + 0.15) + 10y = 3

-2.5y + 1.5 + 10y = 3

7.5y + 1.5 = 3

7.5y = 1.5

y = $0.20

Now that you have the cost of the Colored copies, you can plug it in to find the B&W copies:

8x + 2y = $1.20

8x + 2(0.2) = 1.2

8x + 0.4 = 1.2

8x = 0.8

x = $0.10

Answer:

The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:

P = 1 - P(1) - P(0)

Where:

P(1) = probability that the vaccine is not effective in one individual

P(0) = probability that the vaccine is not effective in 0 individuals.

The probability that the vaccine is effective is 0.95

Then the probability that the vaccine is not effective is 0.05.

Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:

p(1) = (0.05^1)*(0.95^19)

But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)

Then the actual probability is:

P(1) = 20*((0.05^1)*(0.95^19)) = 0.377

And P(0) is easy to compute:

P(0) = (0.05^0)*(0.95^20) = 0.358

And here we have only one possible permutation, so we do not worry about that.

Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265

This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)

Answer: -7.7%

Step-by- A P E X

Answer:

1 :)

Step-by-step explanation:

We know that of refers to multiplication (from BODMAS)

% means per hundred, i.e., 1/100

So, 80% of 86 is:

(80/100) × 86

or (4/5) × 86

or 4 × 17.2

or 68.8

Hope you understand

Answer:

68.8

Step-by-step explanation:

Let x be 80% of 86.

To find 80% of 86

[tex] \frac{80}{100} = \frac{x}{86} [/tex]

[tex]80 \times 86 = 100x[/tex]

[tex]6880 = 100x[/tex]

[tex]68.8 = x[/tex]

Or you can simply do it as:

[tex]86 \times 80\%[/tex]

[tex]86 \times \frac{80}{100} [/tex]

[tex] \frac{86 \times 80}{100} [/tex]

[tex] \frac{6880}{100} [/tex]

[tex]68.8[/tex]

Answer:

8units

Step-by-step explanation:

Given parameters:

  Area of triangle  = 32units²

   Base  = 8units

Unknown:

height x of the triangle = ?

Solution:

The area of a triangle is given as;

    Area = [tex]\frac{1}{2}[/tex] x base x height

 Input the parameters and solve for the height;

     32  = [tex]\frac{1}{2}[/tex] x 8 x h

     32 = 4h

      h = 8

height of the triangle is 8units

Answer:

Step-by-step explanation:

(1-2*1) (3*2+4*-1*1- 1*2)

=-1 (6+4-1-2)

-1*7

-7

Answer:

n-k-1

Step-by-step explanation:

n is bigger than k. It asks BETWEEN k and n. so, since n is bigger than k, n-k. since it says BETWEEN, you subtract 1 after that

got it?

=)

oh and the reason i am strict about BETWEEN, is because when it said between, then its discluding k and n.

If it says FROM k and n, then you both include k and n, and that would result of adding 1 instead of subtracting 1.

Answer:

b s=3w

Step-by-step explanation:

when graphed its a straight line and it goes through the orgin so its proportional

Answer:

50%

its very likely tbh. I did that like in 5th grade, im probably wrong.

Answer:

Step-by-step explanation:

First, the data set is:

  Gender     Race        Salary   WorkTimeStatus   Education   Tenure

1. Female  Caucasian  32196     Full Time                     14yrs          2 yrs

2. Male      Black          62385    Full Time                     16yrs         10yrs

Now to the questions:

(A) This data set contains 2 cases; 1 for the first employee (the female caucasian) and 2 for the second employee (the male black).

(B) This data set contains 6 variables;

1. Gender  2. Race  3. Salary  4. Work time status  5. Years of education

6. Number of years in/with the company

(C) Out of these 6 variables, the quantitative ones (those that can be measured or weighted numerically) are:

3. Salary   5. Years of education   6. Years with the company

Altogether, 3 in number

(D) The qualitative variables are:

1. Gender   2. Race   4. Work Time Status

Altogether that's 3 variables

The answer to the equation is [tex]n=5[/tex]

First, you must add 0.8n on both sides.

[tex]0.6n+7=10[/tex]

Then, subtract 7 from both sides.

[tex]0.6n=3[/tex]

Finally, divide both sides by 0.6

[tex]n=5[/tex]

We know that :

The sum of two angles that are complementary = 90°

Smaller angle = x

Larger angle = 2x

We can make the formula as

= 2x + x = 90°

= 3x = 90°

= x = 90 ÷ 3

= x = 30

The smaller angle = x = 30°

The larger angle = 2x = 30 × 2 = 60°

Therefore , the measure of each of the angles are 30° and 60° .

1. 59049

2. a^12

3. 8a^6

4. 16a^ 10 b^6

5. 9a^4

6. s^6 t^12

7.  s^5 / t^5

8. 6561

9.  s^2 t^8 / r^2

10.  81a^2 b^6

Answer:

26,676population

Step-by-step explanation:

Population in 2010 = 24,700

If it grows yearly by 1%, increment per year is expressed as:

1% of 24,700

= 1/100×24700

= 247 populations

After 8years, population increase will be 247×8 = 1976 population

Statesville population in 2018 will be expressed as;

Population in 2010+increase after 8years

= 24700+1976

= 26,676 population

Hence statesville population in 2018 will be 26,676population

Answer:

392984

Step-by-step explanation:

Answer:

A) Hypergeometric

B) P( X ≥ 2) = 0.7143

C) Standard deviation: σ = 0.7087

Mean = 1.875

Step-by-step explanation:

A) Y has Hypergeometric distribution. This is because, the population is not definite and is largely a finite number of people that have one of the two characteristics. Also, a sample of 8 was selected from this population and a random variable of interest that contained the number of people with one of the characteristics.

B) We are told total candidates were 8.

Thus; N = 8

3 were for local teaching positions, thus; n = 3

5 were for paid internship, thus; r = 5

Now, the formula for Hypergeometric distribution is;

P(y) = {(rCy) × [(N-r)C(n-y)]}/(NCn)

Where C represents combination.

Thus, probability that two or more candidates were hired is;

P( X ≥ 2) = P(2) + P(3)

Now, N - r = 8 - 5 = 3

For P(2); n - y = 3 - 2 = 1

For P(3); n - y = 3 - 3 = 0

Thus;

P(2) = {(5C2) × (3C1}/(8C3)

P(2) = 30/56

P(2) = 0.5357

P(3) = {(5C3) × (3C0}/(8C3)

P(3) = 10/56

P(3) = 0.1786

Thus;

P( X ≥ 2) = 0.5357 + 0.1786

P( X ≥ 2) = 0.7143

C) Formula for standard deviation in Hypergeometric distribution is;

σ = √[(nr/N) × ((N - r)/n) × ((N - n)/(N - 1))]

nr/N = (3 × 5/8) = 15/8

((N - r)/N) = (8 - 5)/8 = 3/8

((N - n)/(N - 1)) = (8 - 3)/(8 - 1) = 5/7

σ = √((15/8) × (3/8) × (5/7))

σ =√0.5022

σ = 0.7087

Formula for mean in Hypergeometric distribution is;

E(Y) = nr/N = 3 × 5/8 = 1.875

Answer:

5h + 4f + 7c

Step-by-step explanation:

Combine like terms!

4h + h = 5h

3f + f = 4f

3c + 2c + 2c = 7c

And you can't put numbers together that have different variables.

Answer:

76.95

Step-by-step explanation:

9.5X8/1(8.1 IS THE NUMBER YOU MULTIPLY IT BY)=76.95

Answer:

60%

Step-by-step explanation:

They killed quite a bit and a lot were left.

Answer:8

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

the total interior angles of a triangle measure to 180 degrees.

55 + 35 = 90

180-90=90

Answer:

X=17

Step-by-step explanation: You would first group like terms. Then you would do 6-7. Then you would add 1 to both sides and get X=17.

Answer:

x=17

Step-by-step explanation:

Groups like terms

x+6-7=16

Subtract the numbers: 6-7= -1

x-1=16

Add 1 both sides

x-1+1=16+1

Simplify

x=17

Answer:

8/100 is equivalent to 0.08

Answer:-0.5; 0.75*4=3, 2-3=-0.5

Step-by-step explanation:

Answer:

-0.5...............

Answer: The answer would be - 7/5 or (-0.46)

Plug in the numbers that each letter equals. So you get 6(4/9)(1/2) - 3(3/5). Then you just simplify.