In a survey of 300 college graduates, 46% reported that they entered a profession closely related to their college major. If 9 of those survey subjects are randomly selected without replacement for a follow-up survey, what is the probability that 3 of them entered a profession closely related to their college major

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (27, 11) and (x₂, y₂ ) = (11, 3)

m = [tex]\frac{3-11}{11-27}[/tex] = [tex]\frac{-8}{-16}[/tex] = [tex]\frac{1}{2}[/tex]

The question is incomplete. Here is the complete question.

If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?

B(1, 3) and D(1, −2)

B(3, 3) and D(3, −2)

B(2, 3) and D(2, −2)

B(1, 2) and D(1, −3)

Answer: B(1, 3) and D(1, -2)

Step-by-step explanation: Area of a rectangle is the multiplication of its width and its length.

The rectangle to be has length, or distance from point A to point C, of 5 units.

For the area to be 20, width has to be 4.

Point B will be 4 units to the right of point A, which means:

[tex]x_{B}=x_{A}+4[/tex]

Point A has coordinates ( -3, 3), then:

[tex]x_{B}=-3+4[/tex]

[tex]x_{B}=1[/tex]

Because the points is "moved" to the right, instead of up or down, y-coordinate stays the same:

[tex]y_{B}=y_{A}[/tex]

[tex]y_{B}=3[/tex]

Point D will be 4 units to the right of point C:

[tex]x_{D}=x_{C}+4[/tex]

Coordinates of point C are ( -3, -2):

[tex]x_{D}=-3+4[/tex]

[tex]x_{D}=1[/tex]

Because a rectangle has a pair of sides parallel to each other, D's y-coordinate will also be the same:

[tex]y_{D}=y_{C}[/tex]

[tex]y_{D}=-2[/tex]

Coordinates of points B and D that makes rectangle ABCD have area of 20 square units are (1, 3) and (1, -2), respectively.

Answer:

Step-by-step explanation:

the anwser is 1/3

Answer:

7 meters long

Step-by-step explanation:

I hope this helpfull dor you...But if this not helpfull,im so sorry...

tan = opp/adj

x = 13(tan 45)

x = 13

//

a² + b² = c²

13² + 13² = 338²

square root of 338 is not a rational number so turn into mixed radical.

//

[tex]x \: = 13[/tex]

[tex]y = 13 \sqrt{2} [/tex]

Answer: -3°F

Step-by-step explanation:

From the question, we are informed that the temperature outside changed from 64°F to 43°F over a period of seven days. The total change will be:

= 43°F - 64°F

= -21°F

If the temperature changed by the same amount each day, the daily temperature change will now be:

= -21°F / 7

= -3°F

The temperature decreased by 3°F daily

Answer:

part A:

If ABC is a triangle then,

2x+4+2x-9+x=180degree

or, 5x-5=180degree

or, 5x=(180+5)degree

or, 5x= 185degree

or, x=185÷5 = 37degree ans.

PartB

now put the value of x in angle A

i.e angle A = 2x-9

or, angle A= (2×37) - 9

or, angle A= 74 - 9

therefore, angle A= 65degree ans.

Step-by-step explanation:

alternate angle is vertical to it

1 9/26

Then your initial equation becomes:

7/2÷13/5

=7×5

 2×13

=35/26

       35/26=1 9/26

Answer:

1 [tex]\frac{9}{26}[/tex]

Step-by-step explanation:

Given

3 [tex]\frac{1}{2}[/tex] ÷ 2 [tex]\frac{3}{5}[/tex] ← change mixed numbers to improper fractions

= [tex]\frac{7}{2}[/tex] ÷ [tex]\frac{13}{5}[/tex]

To perform the division

Leave the first fraction, change division to multiplication and turn the second fraction upside down.

= [tex]\frac{7}{2}[/tex] × [tex]\frac{5}{13}[/tex] ← multiply numerators/ denominators together

= [tex]\frac{35}{26}[/tex]

= 1 [tex]\frac{9}{26}[/tex]

Answer:

vertical angles

Step-by-step explanation:

They don't share a common side, so they are not adjacent!

Hope that helps!

Answer:

75.

Step-by-step explanation:

17−14−8(8−17)

=75

Answer:

67 degrees, the 4th choice.

Step-by-step explanation:

As you may know, sum of angles in a triangle is 180 degrees. The best thing about this question here, is that 2 of the angles are already given. Now, all you need to do is add the two angles and subtract the result from 180.

You can also use the process of elimination to start.

First off, you can eliminate the second answer, sum of angles in triangle is 180, and 293 is way to much.

7 degrees is way too little, and it can be found by common sense, and knowing that 7+60+53 is already gonna be less than 180. (Didnt mean to be rude though. lol)

The only options left are 113 degrees and 67 degrees. now, lets use the actual formula of sum of angles in triangle.

60+53=113

180-113=67.

So, its 67 degrees! Process of elimination can help, but if you need proof for your answer, do not do that work in front of your teachers, only show the actual proof.

Hope you learned and liked my explanation! If so, please leave a rating and thanks (and hopefully brainliest!!) Have a great day!

Answer:

-8a(a-5)

Step-by-step explanation:

-8a^2+40a

-8a(a-5)

Answer:

The answer is Step 2: m<w + m<z = 180 degrees (suppplmentary angles).

Step-by-step explanation:

First, Step 2 says m<w - m<z = 90 degrees. That's false because the m<w - m<z  would equal an acute angle, not a right angle. Secondly, the m<w + m<z = 180 degrees. Supplementary angles equal 180 degrees.

Answer:

The base angles of an isosceles trapezoid are equal in measure (there are in fact two pairs of equal base angles, where one base angle is the supplementary angle of a base angle at the other base

Step-by-step explanation:

Answer:

a ) 7a + 12

b) b - 15

Step-by-step explanation:

a)2a+5a +8+8

= 7a + 12

b) b - 7 - 8

= b-15

Answer:

the answer for just eliminate the variables and to the solving tho get the answer as they get the answer to the number above

Answer:

Stick 2

Step-by-step explanation:

Given

[tex]L = 1.05m[/tex] --- Shelf length

Missing information from the question are:

[tex]Stick\ 1 = 1.4m[/tex]

[tex]Stick\ 2 = 1.041m[/tex]

[tex]Stick\ 3 = 1.14m[/tex]

[tex]Stick\ 4 = 1.104m[/tex]

See attachment

Required

Which stick best fits the shelf?

The following observations are to be noted:

Hence, Justin should choose stick 2

Answer:

The correct answer is A)

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

here u go !! <3

Part 1:

1. 18 - [(15 - 9 + 4] - 2 = 6

2. 6² - [3² + (3 + 12)] = 12

3. 21 - [(2 × 4) + 2 + 5] = 6

4. [(17 - 10) + 4] + 5² = 36

5. 36 ÷ 6 + [(5 × 3) + (13 - 6) + 10] = 38

Part 2:

6. 15 ÷ 3 × 5 - 16 = c. 9

7. 2 [5 + (30 ÷ 6)²] = d. 60

8. [3² × 4] - [6 + 4²] = b. 14

9. 8 [6² - 3 × (2 + 5) - 8 + 3] = e. 80

10. 15 - {27 - 2 × [33 - 4 × (5 + 1)]} = a. 6

Answer:

(1 )14

(2) 45

(3) 20

(4) 36

(5)121

(6) 6

(7)9

(8) 14

(9)80

(10)60

Answer:

a) 96

Step-by-step explanation:

2 + 2 = 4

4 * 24 = 96

Answer:

6:59

Step-by-step explanation:

Hour : Minute

Small hand is hour hand, large hand is minute hand. Minutes go by the small tic marks, where the hours go off of the numbers.

Answer:

4

Step-by-step explanation:

Answer:

2x+7= 3x-10

17=x

Step-by-step explanation:

Answer:

-5.7n + 11.3

Step-by-step explanation:

3.3 - 3.7n - 2n + 8 = -3.7n - 2n + 3.3 + 8 = -5.7n + 11.3

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Answer:

The elevation is 28 meters.

Step-by-step explanation:

This is pretty obvious because it says that the bird is above the ocean, not below. So, it is positive.

Hope this helps! :)

Answer:

465 is the total points he got and he solved 14 in part A and 2 in part B

hope it helps you

mark me as brainlist

thank you