A university organization shows that 108 of the university's 253 assistant professors were women, along with 97 of the 301 associate professors and 78 of the 350 full professors. (a) What is the probability that a randomly chosen university professor (of any rank) is a woman

Answer:

Step-by-step explanation:

abc=80, abm= 100

acb= 40, acn= 140

angle a = 60

x=80, y=40

Answer:

x = 80° y = 40°

Step-by-step explanation:

ABC = 80°  ACB = 40°

ABC+ACB+A = 180° (sum of angles in a triangle = 180°)

80+40+A = 180°

A = 60°  (sum of angles in a triangle = 180°)

X = 80° (ALTERNATE ANGLES, angles x is alternate to angle ABC = 80° )

y = 40°  (alternate angles, angle y is alternate to angle ACB = 40°)

to cross-check : sum of angles on a straight line = 180°  

x+ y + A = 180sum of angles on a straight line = 180°

80+40+60 = 180°

ABM = 100°  = (sum of angles on a straight line = 180°)

80° + 100°  = 180°

ACN = 140° (sum of angles on a straight line = 180°)

40° + 140° = 180°

7(−2)^2 /9

7(−2)^2 /9  

= 28 /9

the answer above this is wrong if you’re using Plato

Answer:

0.699

Step-by-step explanation:

cos(5*20*34)

cos(3400)

0.699

Answer:

Line A is x = -3

Line B is y = 2.5

Step-by-step explanation:

Answer:

1. Their ages are:

Steve's age = 18

Anne's age = 8

2. Their ages are:

Max's age = 17

Bert's age = 11

3. Their ages are:

Sury's age = 19

Billy's age = 9

4. Their ages are:

The man's age = 30

His son's age = 10

Step-by-step explanation:

1. We make the assumption that:

S = Steve's age

A = Anne's age

In four years, we are going to have:

S + 4 = (A + 4)2 - 2 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we had:

S - 3 = (A - 3)3

S - 3 = 3A - 9

S = 3A - 9 + 3

S = 3A – 6 …………. (2)

Substitute S from (2) into (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into (3), we have:

S = (3 * 8) – 6 = 24 – 6

S = 18

Therefore, we have:

Steve's age = 18

Anne's age = 8.

2. We make the assumption that:

M = Max's age

B = Bert's age

Five years ago, we had:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (3)

A year from now, it will be:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30

M = 30 – 2 – B

M = 28 – B …………………… (4)

Substitute M from (4) into (3) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

If we substitute B = 11 into equation (4), we will have:

M = 28 – 11

M = 17

Therefore, their ages are:

Max's age = 17

Bert's age = 11.

3. We make the assumption that:

S = Sury's age

B = Billy's age

Now, we have:

S = B + 10 ................................ (5)

Next year, it will be:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (6)

Substituting S from equation (5) into equation (6) and solve for B, we will have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (5), we have:

S = 9 + 10

S = 19

Therefore, their ages are:

Sury's age = 19

Billy's age = 9.

4. We make the assumption that:

M = The man's age

S = His son's age

Therefore, now, we have:

M = 3S ................................... (7)

Five years ago, we had:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (8)

Substituting M = 3S from (7) into (8) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (7), we have:

M = 3 * 10 = 30

Therefore, their ages are:

The man's age = 30

His son's age = 10

Answer:

y = 98

z = 21

Step-by-step explanation:

in the picture, y and 82 are supplementary angles because the are same side interior angles. This means that we can create this equation:

y = 180 - 82

we get y = 98

<Y and <4z + 14 are vertical angles, so we can also say that they are equal to each other. So we can create this equation:

4z + 14 = 98

subtract 14 from both sides:

4z = 84

divide both side by 4 to find z:

z = 21

Answer:

y = 82

z  = 21

Step-by-step explanation:

You can get y almost immediately.

82 and y are supplementary. Interior angles on the same side of the transversal = 180

82 + y = 180              Subtract 82 from both sides

y = 180 - 82

y = 98

y and 4z + 14 are equal.

y = 4z + 14                Substitute for y    

98 = 4z  +  14           Subtract 14 from both sides.

98-14 = 4z

84 = 4z                     Divide by 4

84/4 = 4z/4

21 = z

Step-by-step explanation:

x + y = 3 ------------ eqn 1

y = -6x + 3 ---------- eqn 2

Substitute -6x + 3 for y in equation 1

x - 6x + 3 = 3

Evaluating we have,

-5x = 3 - 3

Evaluating further,

x = 0

Substitute 0 for x in equation 1

0 + y =3

Make y subject of formula

y = 3 - 0

y = 3

Hope this helped!

Answer:

Step-by-step explanation:

We use a proportion to solve this.

8/3 = 12/x

Cross-multiply to get:

8x = 36

x = 4.5

The answer to the question is 4.5

Answer:

original

perimeter - 36 feet

area - 80 square feet

new patio

perimeter - 40 feet

area - 96 square feet

Answer:

865

Step-by-step explanation:

the trip is 865 miles so that is how many miles he will drive

Answer:

41

Step-by-step explanation:

Answer:

The probability that a potential buyer will read the advert and will buy Jack's car is 0.04

Step-by-step explanation:

Estimate 1:  There's a 0.4 probability that a potential buyer will read the advert.

Estimate 2:  There's a 0.1 probability that whoever reads the advert will buy his car.

- As you can see, the probability of success of this event decreases; from the point of Jack placing an advert, to the point of someone purchasing his car.

- That someone reads the advert does not mean that he or she would be interested in or capable of purchasing the car.

- That someone has the capacity to buy the car (potential buyer) does not mean they'll eventually buy it.

- So altogether, there is a low probability of each reader purchasing the car, and that's 0.1

In the calculation of probability, "and" represents multiplication. Hence,

0.4 × 0.1  = 0.04

Answer:

you need to explain

Step-by-step explanation:

Answer:

We start with 550 pieces of candy.

We know that for each kid that comes, the total number of candy will be reduced in 5 units.

Then if there are x children that came to take candy, the total number of candy left will be:

f(x) = 550 - 5*x

That is the function that represents this situation.

Now we want to find the zero of this function, this will be the value of x such that f(x) = 0.

So we only need to solve the equation:

f(x) = 0 = 550 - 5*x

      5*x = 550

         x = 550/5 = 110

The x-intercept will be (110, 0)

In this particular case, the information on the zero represents the number number of kids that must come and take candy in order to have no more pieces left in the bowl.

Answer:

B. $2,565

Step-by-step explanation:

Answer:

First step: 8% as a decimal is 0.08 if you move the decimal of 8 twice to the left.

Second step: I think it would be 0.08 x 25.

Third step: 2. I'm pretty sure there are 2 people that wear glasses in his class because 0.08 times 25 is 2.

Fourth step: Friendly percent is 10%. It is always even.

Hope this helps!

Answer:

83F+79F+X

-----------------      >82F

        3

Step-by-step explanation:

X is the unknown temp, which is the third day.  adding all those up and dividing that by 3 will give you the average. if the average is above 82F, then you just add a > symbol showing that its higher than 82F

Answer:

Step-by-step explanation:I think it is 5005

Answer: I think #2 is either A or C

Step-by-step explanation: Hope it helped! :)

Answer:

225

Step-by-step explanation:

15x15=225

There is a cool trick you can do. Lets take 28 and square it.

First you round the number up. 28 rounded is 30. You rounded up by 2 (30-28=2) so you minus 2 from 28.

You are left with these two numbers, 26 and 30. Add a zero to the 26.

You now have 260 and 3 (you remove 0 on the 30 since you added it to the 26)

Then you multiply by 3.

260x3=780

Then you add the square of the number you rounded up too, which is 2.

You are left with this equation.

(2^2)+780= 784

28x28=784.

This works for numbers below 100 and integers

Answer:

16 inches

Step-by-step explanation:

What we know:

The equation y = 3/4x shows the diameter of a trees in x inches gained in y years.

We know y, which is 12, so this becomes x = 4/3y (or x = 4y/3)

x = 4(12)/3

x = 48/3

x = 16

The predicted diameter will be 16 inches.

(Just put 16 in the blank.)

Answer:

true

Step-by-step explanation:

if you have a line LP and midpoint M means M divides LP in to two equal parts ie LM and MP

Answer:

im answering this for the points and also u lied about how many points i would be getting. -.-

Step-by-step explanation:

answer is C i think

Answer:

7x^{2} +3y^{2} -4x

Step-by-step explanation:

12-5=7

-11-(-14)=3

-13-(-9)= -4

so it will be [tex]7x^{2} +3y^{2} -4x[/tex]

Answer:

2

Step-by-step explanation:

[tex]\frac{3x}{4}[/tex] = [tex]\frac{3}{2}[/tex]

cross-multiply: 6x = 12

x = 2

Answer:

2 cabinets

Step-by-step explanation:

In 3/4 hour he builds 1 1/2 cabinets.

1/4 hours is 1/3 of 3/4 hour.

In 1/4 hour he builds 1/3 of 1 1/2 cabinets which is half a cabinet.

In 1 hour he builds 4 times what he builds in 1/4 hour, 4 * 1/2 cabinet = 2 cabinets.

Answer: 2 cabinets

Answer:

4 sets

Step-by-step explanation:

because you need to fit everything in perfectly

Complete Question

The formula for the lateral area of a right cone is LA = πrs, where r is the radius of the base and s is the slant height of the cone. Which are equivalent equations? Select two correct answers.

a) s = s equals StartFraction L A Over pi r EndFraction.

b) s = s equals StartFraction pi r Over L A EndFraction.

c) s = LAr

d) r = r equals StartFraction L A Over pi s EndFraction.

e) r = LAs

Answer:

a) s equals StartFraction L A Over pi r EndFraction.

d) r = r equals StartFraction L A Over pi s EndFraction.

Step-by-step explanation:

The formula for the Lateral Surface Area of a right cone is given in the question as:

LA = πrs

Where

r is the radius of the base and s is the slant height of the cone.

From the options given,

We can make s the subject of the formula.

Hence:

Making s the subject of the formula

LA = πrs

Divide both sides by πr

s = LA/πr

Hence: Option a) s equals StartFraction L A Over pi r EndFraction. Is correct.

Step 2

Making r the subject of the Formula

LA = πrs

Divide both sides by πs

r = LA/πs

Hence: Option d) r equals StartFraction L A Over pi s EndFraction. Is correct.

Answer:

The answer is A and D.

Step-by-step explanation:

I took the quiz !