What type of graph would the following data create? (0,2) (1,3) (2,4) is this a Positive slope linear graph

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that [tex]p = 0.08[/tex]

Sample of 11 college graduates:

This means that [tex]n = 11[/tex]

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662[/tex]

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Answer: 9.6

Step-by-step explanation:

You need to isolate the m and in order to do that then you have to multiply both sides by 2

So m/2 x 2 = m

4.8 x 2 = 9.6 which is the answer

Answer:

Step-by-step explanation:

m/2 = 4.8

m = 4.8×2

m = 9.6

Answer:

130

Step-by-step explanation:

2(4x - 3) + 6(3y - 5)

2(4 × 5 - 3) + 6(3 × 7 - 5)

2(20 - 3) + 6(21 - 5)

2(17) + 6(16)

34 + 96

130

Answer:

The answer would be 130

Step-by-step explanation:

First, substitute the variable values into the equation.

2(4(5)-3) + 6(3(7)-5)

Next, solve for the inside parentheses.

2(20-3) + 6(21-5)

Now solve the parentheses again.

2(17) + 6(16)

Then multiply the numbers.

34 + 96

Finally add the last two numbers together to get your answer of 130.

Hope this helped!

Answer:

x/300=24/100

Step-by-step explanation:

24/100 is the same as 24% and by cross multiplying you can find 24% of 300

Answer:

24 percent just means "24 for every hundred"  300 is literally three hundreds, so 24 percent of it three 24s, or 72.

Answer:

[0, -7, 1]

[0, 3, 4]

Answer:

the total surface area of the prism is 245.67

Step-by-step explanation:

Given;

height of the triangular prism, h = 8

length of the triangular bases, = 7, 8, and 9

The total surface area of the prism is calculated as;

T.S.A = ph + 2B

Where;

p is the perimeter of the base

B is area of the base

P = 7 + 8 + 9 = 24

Area of the base can be calculated using Hero's formula;

[tex]S = \frac{7+8+9}{2} = 12\\\\Base \ area (B) = \sqrt{12(12-7)(12-8)(12-9)} = 26.833[/tex]

T.S.A = (24 x 8)   +  2 x 26.833

T.S.A = 192 +  53.666

T.S.A = 245.67

Therefore, the total surface area of the prism is 245.67

Answer:

x=135

Step-by-step explanation:

x=180-45

x=135

ask if any questions

Answer:

Answer A

Step-by-step explanation:

Answer:

756 cm

i hope this helps

Answer:

cross ❌ multiply

6x-1=2

6x=2+1

6x=3

divide both sides by 6

x=1/2

Answer:

Step-by-step explanation:

44+9x+18+5x+20=180

14x+82=180

14x=180-82=98

x=98/14=7

other angles are

9x+18=9×7+18=81°

and 5x+20=5×7+20=55°

so angles are 44°,55°,81°

so smallest angle=44°

Answer:

A (50)

Step-by-step explanation:

Mean is the total numbers added up divided by the # of numbers.

There are 6 numbers.

51 + 60 + 80 + 32 + 47 + 30 = 300

300/6 = 50

Therefore, the answer is A.

Answer:

A

Step-by-step explanation:

Because to find the mean you add up all the numbers.

51+60+80+32+47+30=300

Then your suppose to divide by the sum.

300/6=50

Step-by-step explanation:

green = 3/20

black = 4/20 = 1/5

Answer: 35

Step-by-step explanation:

Answer:

85.625 is the answer

Step-by-step explanation:

or, 85 whole 5/675

Answer:

The second one

4/5 is next to x

And the y intercept is NEGATIVE 6 or (-6)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

You have to multiply all of them with 8

X = 30. Plug thirty into the equation to get -11 = -30 + k. Add 30 to both sides to get 19 = k.

K = 19

Answer:

y = 5      

Step-by-step explanation:

Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.

We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.

Answer:

the slope of the line is: 0

Step-by-step explanation:

4-4=0

-2-5= 3

Answer:

Five hundred six million, three hundred forty-one thousand, two hundred nine and fifty four hundredths.

Step-by-step explanation:

506, => Five hundred six million,

341, => three hundred forty-one thousand,

209 => two hundred nine

.54 => and fifty four hundredths.

This is how you would write it.

Hope it helps!

Answer:

m = 1

Step-by-step explanation:

(2,1) and (8,7)

m = (y2-y1)/(x2-x1)

m=(7-1)/(8-2)

m=6/6

m = 1

Answer:

[tex]\frac{13}{204}[/tex] ≈ 0.0637

Step-by-step explanation:

Given: Two cards are drawn without replacement from a standard deck of 52 playing cards.

To find: probability of choosing a heart and then, without replacement, a spade

Solution:

Probability refers to chance of occurrence of any event.

Probability = Number of favorable outcomes ÷ Total number of outcomes

Total number of cards = 52

Number of hearts = 13

So,

probability of choosing a heart = [tex]\frac{13}{52}=\frac{1}{4}[/tex]

Number of remaining cards = [tex]52-1=51[/tex]

Number of spades = 13

Probability of choosing a spade = [tex]\frac{13}{51}[/tex]

Events consisting of choosing a heart and spade are independent.

So,

Probability of choosing a heart and then, without replacement, a spade =

Probability of choosing a heart × Probability of choosing a spade

= [tex]\frac{1}{4}(\frac{13}{51})=\frac{13}{204}[/tex] ≈ 0.0637

Answer: 47/363

(Decimal: 0.129477)

Given:

Width of the rectangular yard = x feet

Length of the rectangular yard = x+4 feet

Perimeter of the rectangular yard is:

[tex]P=4x+8[/tex]

Perimeter of the yard = 84 feet

To find:

The length of the rectangular yard.

Solution:

Perimeter of the yard is 84 feet.

[tex]4x+8=84[/tex]

[tex]4x=84-8[/tex]

[tex]4x=76[/tex]

Divide both sides by 4.

[tex]x=\dfrac{76}{4}[/tex]

[tex]x=19[/tex]

So, the width of the rectangular yard is 19 feet.

Length = [tex]19+4[/tex]

Length = [tex]23[/tex]

The length of the rectangular field is 23 feet.

Therefore, the correct option is B.