1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ValentinkaMS [17]
3 years ago
7

At a certain non-profit organization, 51% of employees are college graduates and 47% of employees have more than ten years of ex

perience. If 77% of the organization's employees are either college graduates or have more than ten years of experience (or both), what is the probability that a randomly selected employee will have more than ten years of experience and be a college graduate?
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0

Answer: 0.21

Step-by-step explanation:

Let A denotes the event that employees are college graduates.

B denotes that the event that employees have more than ten years of experience.

As per given , we have

P(A)=0.51

P(B)=0.47

P(A∪B)=0.77

We know that , P(A\cup B)=P(A)+P(B)-P(A\cap B)

0.77=0.51+0.47-P(A\cap B)

P(A\cap B)=0.51+0.47-0.77=0.21

Hence, the probability that a randomly selected employee will have more than ten years of experience and be a college graduate = 0.21

You might be interested in
Can someone please help me with my homework please.p
umka2103 [35]

Answer:

8-20c

Step-by-step explanation:

Just plug 4c into the function

8-5x

8-5(4c)

8-20c

4 0
3 years ago
the length of a side of a square is 10x+4 units. If the perimeter is 96 units. What is the area of the square?​
dmitriy555 [2]

Answer:

576 Units

Step-by-step explanation:

The way your teacher wants you to do it:

1. We know that multiplying a length by four gives us the perimeter of a square.

1a. Thus, we multiply the given length by four. 4(10x+4)=40x+16

1b. We know the perimeter is 96. So: 40x+16=96

2. Solving for x, we get x=2

3. Plugging our solved x into the given length  (10x+4), we see that the length of a side of the square is 10*2+4=24.

4. We know that the area of a square can be found by squaring the side of a square.

4a. 24*24=576.

5. The area is 576 units.

--------------------------------------------------------------

Easier Solution:

1. We know that the perimeter is length*4.

2. We set L to length.

2a. 4L=96

2b. L=24

3. We know that the length square is area.

4. 24*24=576.

4 0
3 years ago
What is 33% of 420 round to the nearest hundredth
LUCKY_DIMON [66]

Answer:

138.6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Jacob's little brother thinks that he could design a better lion enclosure than the one he sees at the zoo. He makes a drawing o
abruzzese [7]

Answer:

Step-by-step explanation:

<u><em>Length</em></u>

1 inch = 25 feet

7 1/4 inches = x feet

1 * x = 25 * 7 1/4

x = 25 * 7.25

Length = 181.25 feet

The length is 181.25

<em><u>hypotenuse length</u></em>

The diagonal = 10 1/2 inches

The diagonal = 10.5 inches

hypotenuse = 10.5 * 25 = 262.5 feet

<em><u>Width</u></em>

L^2 + W^2 = Diagonal^2

181.25² + W² = 262.5²

32851.5625 + W²  =  68906.25   Subtract 32851.5625 from both sides

W² =  68906.25 - 32851.5625

W^2 = 36054.6875                       Take the square root of both sides

W = 189.88

<u><em>Area</em></u>

Area = L * W

Area = 181.25 * 189.88

Area = 34415.88 square feet.

3 0
3 years ago
Suzanna walked two over seven of a mile in two over five of an hour. What is her unit rate in miles per hour?
Kruka [31]

Two sevenths over two fifths = five over seven mile per hour

The unit rate is 5 over 7 miles per hour

<em><u>Solution:</u></em>

Given that, Suzanna walked two over seven of a mile in two over five of an hour

We have to find the unit rate in miles per hour

Unit rate means number of miles covered in 1 hour

From given information,

Two over seven of a mile in two over five of an hour

Which means,

\frac{2}{7} \text{ miles } = \frac{2}{5} \text{ hour }

\text{ So she covered } \frac{2}{7} \text{ miles in } \frac{2}{5} \text{ hour }

To find for number of miles covered in 1 hour, divide the \frac{2}{7} \text{ by } \frac{2}{5}

\text{Unit rate in miles per hour } = \frac{\frac{2}{7}}{\frac{2}{5}}\\\\\text{Unit rate in miles per hour } = \frac{2}{7} \times \frac{5}{2} = \frac{5}{7}

Two sevenths over two fifths = five over seven mile per hour

Thus unit rate is 5 over 7 miles per hour

3 0
3 years ago
Other questions:
  • A baker made 260 cupcakes last week of 55% were chocolate how many cupcakes were chocolate​
    14·1 answer
  • Can't figure out the answer..
    5·1 answer
  • When given the coordinates of the vertices of a triangle, can the slope formula be used to determine whether the triangle is a r
    8·1 answer
  • 180 is 25% of what number? show ur work
    14·1 answer
  • A rectangular cooler is 18 inches long, 12 inches wide, and 12 inches deep, what is the volume of the cooler?
    9·1 answer
  • Which of the points below, when plotted on the graph, would connect with the other two points to form a right triangle? A. (0, 8
    14·2 answers
  • If a=1 and b=3; then a3 b2- 2a
    15·1 answer
  • Solve the following: Express your answer in simplest radical form​
    15·2 answers
  • Solve the quadratic inequality <br> 4x^2-25&lt;0
    12·1 answer
  • Compare 3 + (–4) to (–4) + 3. What happens to the sum when the addends are reversed?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!