how do you solve 1/2x=6​

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:The 9 in the hundredths place is 0.1x the value of the 9 in the tenths place.

Step-by-step explanation:

Every place going forward is 10x forward, so this means that every place going backwards is 0.1x.

Answer:

1/10th

Step-by-step explanation:

Answer: -7.7%

Step-by- A P E X

Answer:

11/3x

your welcome

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:

your answer is A

Step-by-step explanation:

Answer:

a. 7

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

y - (x - z)

x = -4

y = 5

z = -2

Step 2: Substitute and Evaluate

5 - (-4 - (-2))

5 - (-4 + 2)

5 - (-2)

5 + 2

7

Answer:

A. 7

Step-by-step explanation:

I hope this helps!

Answer:

3.4567 is a rational number

Step-by-step explanation:

An irrational number has no ending while a rational number does. An irrational number can not be written as a fraction while a rational number can. Basically, all you have to do to figure out if a number is rational or irrational is to figure out if it has an ending.

For example, if you had 234.888888888 irrational but if the number was 234.98989654 then it would be rational

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

Complete question is;

Some car jacks are constructed like a collapsed rhombus. When used to raise a car, the rhombus is easily seen. If the sides of the rhombus are 15 inches, what is the maximum length of the shaft?

Answer:

Maximum length of shaft = 30 inches

Step-by-step explanation:

To understand this clearly, I've attached a real life image of a car jack that's in the shape of a rhombus.

From the attached image, we can see that it has four sides which are equal in length.

Now, if this jack is collapsed, the shaft will just be like a straight line with a maximum length equal to twice a side of the rhombus which represents the maximum length of the diagonal.

Since we are told that one side of the rhombus is 15 inches, it means that the maximum length of shaft = 2 × 15 = 30 inches

Answer:8

Step-by-step explanation:

Answer: 1) ASA

2) AAS/SAA

3) Not possible

Step-by-step explanation: 1 is asa because it has 2 angles and a side that are on the same line. 2 is aas/saa because it has a side then two angles. 3 is not possible because it’s ssa and ssa is not used to prove triangles congruent

Answer:

0.034

Step-by-step explanation:

10^-2 is 1 over 100 times 3.4

Answer:

34 - 25 = 9

Step-by-step explanation:

Answer:

13/15 > 4/5 is a true stament.

Step-by-step explanation:

The left side is 0.86 repeating turned into a decimal. which means 0.86 is greater than the right which the right is 0.8 turned into a decimal. which in this case this means that the given stament is always true.

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

Step-by-step explanation:

Answer:

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

Answer:

b s=3w

Step-by-step explanation:

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

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:

20 + 4x = 180

Step-by-step explanation:

180-20= 160

160=4x

160/4= 40= x

Answer:

-19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

Answer:

8/100 is equivalent to 0.08

Answer:

I think she will need to divide or subtract to get the exact sum of the two prices .

Step-by-step explanation:

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:

A. [tex] (4n + 22) + (8n - 10) = 180 [/tex]

B. [tex] n = 14 [/tex]

C. 78° and 102°

Step-by-step explanation:

A. The relationship between the two angles that are a linear pair is: their sum gives us 180°. That is:

[tex] (4n + 22) + (8n - 10) = 180 [/tex]

B. [tex] (4n + 22) + (8n - 10) = 180 [/tex]

Solve for n.

[tex] 4n + 22 + 8n - 10 = 180 [/tex]

Collect like terms

[tex] 12n + 12 = 180 [/tex]

Subtract 12 from both sides

[tex] 12n + 12 - 12 = 180 - 12 [/tex]

[tex] 12n = 168 [/tex]

Divide both sides by 12

[tex] \frac{12n}{12} = \frac{168}{12} [/tex]

[tex] n = 14 [/tex]

C. Plug in the value of 14 to get the measurement of both angles

[tex] (4n + 22) = 4(14) + 22 = 56 + 22 = 78 [/tex]

[tex] (8n - 10) = 8(14) - 10 = 112 - 10 = 102 [/tex]

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:

$90.75

Step-by-step explanation:

$33 dollars divided by 4 tickets is $8.25 (original price) so then $8.25 x 11 is $90.75

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]