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Sindrei [870]
2 years ago
11

At a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 31% of courses have a res

earch paper and a final exam. Find the probability that a course has a final exam or a research paper.

Mathematics
1 answer:
beks73 [17]2 years ago
6 0

Answer:

0.25

Step-by-step explanation:

72% of courses have final exams and 46% of courses require research papers which means probability of 0.72 for courses that have final exams and 0.46 for courses that require research papers.

31% of courses have a research paper and a final exam, which means probability of 0.31 for both courses with exams and research papers, using Venn diagram approach, find picture attached to the solution.

P(R or E) = P(R) + P(E) - P(R and E), which gives:

P(R or E) = 0.15 + 0.41 - 0.31

P(R or E) = 0.25.

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The speed limit on a road is 60 mph. The actual speeds of cars are measured and found to be normally distributed with a mean val
Vladimir79 [104]

Answer:  8.1%

Step-by-step explanation:

Given : \mu=63

\sigma=5

Let x be the random variable that represents the actual speeds of cars.

The speed limit on a road is 60 mph.

Using formula , z=\dfrac{x-\mu}{\sigma}, we have for x= 60+10=70

\dfrac{70-63}{5}=1.4

Using z-table for right-tailed test value, The probability of  cars exceed the speed limit by more than 10 mph will be

P(x>70)=P(z>1.4)=0.0807567\approx0.081=8.1\%

Hence, the percentage of cars exceed the speed limit by more than 10 mph is 8.1%.

6 0
2 years ago
Which equation represents the line shown on the graph?
Mama L [17]

Hello there,

To find out the equation you use the slope intercept form...

y = mx + b

M is the slope and b is where the line crosses the y-axis...

Now to find the slope you count the distance from two points so...

The distance from (0,2) to (1,5) is 3 units up and 1 unit over.

So the correct answer should be...

y = 3x + 2


Answer: w = 3z + 2


Hope I helped!!

-Char

8 0
2 years ago
Given your sister's incomplete text,
egoroff_w [7]

Explanation:

Quadrants 2 and 3 houses points that have negative x-values, while as Quadrants 1 and 4 houses points that have positive x-values.

If 'your sister' completes the text with negative y-value, the point would be in Q3.

If 'your sister' completes the text with positive y-value, the point would be in Q2.

8 0
2 years ago
Read 2 more answers
A right cylinder has a radius of 2 units and height of 5 units.What is the volume of the cylinder? Round to the nearest tenth.
UkoKoshka [18]
V=hpir^2
r=2
h=5
pi≈3.141592

v=5*3.141592*2^2
v=5*3.141592*4
v=20*3.141592
v=62.83185307179586476925286766559
round to tenth
62.8 cubic units
8 0
1 year ago
Read 2 more answers
The diagram shows a scale drawing of a playground. In the scale drawing the playground has a length of 16 cm and a width of 8 cm
kicyunya [14]

Answer:

3 m : 4 cm, 3 m/4 cm, 3 m to 4 cm

Step-by-step explanation:

The actual playground will have an area of 72 m², and have one side be double the other, because the scale drawing does so too.

We can make a system of equations: l * w = 72, l = 2w

Substitute: 2w * w = 72

Simplify: 2 * w² = 72

Divide: w² = 36

Square root: <em>w = 6 m</em> (no negatives due to distances always > 0)

Substitute: l = 2 * 6 m

Simplify: <em>l = 12 m</em>

This means that the relations of one side is <em>6 m : 8 cm</em>. That can be simplified to 3 m : 4 cm.

8 0
2 years ago
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