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Romashka [77]
3 years ago
5

He mathematics department of a college has 6 male​ professors, 8 female​ professors, 14 male teaching​ assistants, and 7 female

teaching assistants. If a person is selected at random from the​ group, find the probability that the selected person is a professor or a male.
Mathematics
1 answer:
irinina [24]3 years ago
3 0
Total number of people in the department = 6 + 8 + 14 + 7 = 35
Total males = 6 + 14 = 20
Total female professor = 8
Total males or professor = 20 + 8 = 28

P(\text {male or professor}) =  \dfrac{28}{35} =  \dfrac{4}{5}

\boxed {\boxed {\text {Answer: P(male or professor) = }\dfrac{4}{5} }}
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Aleks04 [339]
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7 0
3 years ago
Round the numbers to the nearest tenth, then find the sum:<br> 3.296 + 0.9785.
Debora [2.8K]

Answer:

4.3

Step-by-step explanation:

first round

3.296 is 3.3

0.9785 is 1

3.3 + 1 = 4.3

4 0
3 years ago
2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.
Gwar [14]

<em>Complete Question:</em>

<em>Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen. </em>

<em>A) what output does the rule give when the input is (-6,0)? </em>

<em>B)What output does the rule give when the input is (3,-4)? </em>

<em>C) Is the rule a function? Explain why it is or why it is not </em>

Answer:

a. The output is (-9,4)

b. The output is (0,0)

c. See Explanation

Step-by-step explanation:

Given

Rule: (x,y)->(x - 3, y + 4)

Solving (a):

Inputs:

x = -6

y = 0

The outputs is as follows;

x => x - 3

x => -6 - 3

x => -9

y=> y + 4

y=> 0 + 4

y=> 4

Hence:

The output is (-9,4)

Solving (b):

Inputs:

x = 3

y = -4

The outputs is as follows;

x => x - 3

x=>3-3

x = 0

y=> y + 4

y=>-4+4

y=>0

Hence:

The output is (0,0)

Solving (c):

The function is a rule and the rule is that:

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5 0
3 years ago
How do you find direct variation. I’m having trouble understanding some of these examples.
Rufina [12.5K]
Direct variation is a relation that has the form

y = kx

where k is the constant of proportionality.

If you are told that a relation is a direct proportion, and you are given one data point, you can find k. The you can write the equation of the direct relation.

Here is an example.
The price of gasoline follows a direct variation.
John bought 5 gallons of gas and paid $15.
a) Write an equation for the relation.
b) Using the relation you found, how much do 13.8 gallons cost?

Solution:
Since the relation is a direct variation, it follows the general equation of a direct variation:

y = kx

We are given one data point, 5 gallons cost $15.
We plug in  5 for x and 15 for y and we find k.

y = kx
15 = k * 5
k = 3

Now that we know that k = 3, we rewrite the relation using our value of k.

y = 3x

This is the answer to part a).

Part b)

We use our relation, y = 3x, and we plug in 13.8 into x and find y.

y = 3x

y = 3 * 13.8

y = 41.4

The price of 15 gallons of gas is $41.40.
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3 years ago
1Which extegory do both shapes belong to?
natka813 [3]
They are both Parallelograms, they both are 4 sided with the opposite being parallel
6 0
3 years ago
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