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Aleks04 [339]
3 years ago
11

Determine whether the graph is the graph of a function. (5 points)

Mathematics
1 answer:
Bond [772]3 years ago
8 0

Answer:

The correct option is 1. The given graph is a function.

Step-by-step explanation:

Vertical line test: According to vertical line test if no vertical line intersects the graph more than once, then the graph represent a function.  

From the given graph it is clear that no vertical line intersects the graph more than once. Since the given graph satisfies the vertical line test, therefore the given graph is a function.

Option 1 is correct. Yes, the given graph is the graph of a function.

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Simplify
Lapatulllka [165]

Answer:

\frac{4\sqrt{5} }{5}

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

7 0
3 years ago
A fair spinner has 11 equal sections: 3 red, 4 blue and 4 green. It is spun twice. What is the probability of getting the same c
Aliun [14]

Answer:

The probability of getting the same colour twice is approximately 34%.

Step-by-step explanation:

The probability of getting each color is:

  • P(x=red) = 3/11
  • P(x=blue) = 4/11
  • P(x=green) = 4/11

Then, we can calculate the probability of getting the color red twice as:

P(x_1=R;x_2=R)=P(x=R)^2=(3/11)^2=9/121

We have to repeat this for the color blue and green:

P(x_1=B;x_2=B)=P(x=B)^2=(4/11)^2=16/121\\\\P(x_1=G;x_2=G)=P(x=G)^2=(4/11)^2=16/121

Then, the probability of getting the same color twice in two spins can be calculated as:

P=P(x_1=R;x_2=R)+P(x_1=B;x_2=B)+P(x_1=G;x_2=G)=\\\\P=9/121+16/121+16/121\\\\P=41/121\approx0.34

4 0
3 years ago
For every 6,000 batches of 100 cards that are printed, she examines every 100th batch to make sure the logo is aligned and the m
Gennadij [26K]

Using sampling concepts, the population and the sample are given as follows:

d. population: 6,000 batches of 100 cards sample: every 100th batch.

<h3>What is sampling?</h3>

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a <u>group containing elements of a population</u>. A sample has to be representative of the population, that is, it has to involve all segments of the population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and then:

  • The population is: All New York State residents.
  • The sample is the 1000 randomly selected New York state residents.

Hence, in the situation described the population is the 6,000 batches of 100 cards, while the sample is every 100th batch, hence option d is correct.

More can be learned about sampling concepts at brainly.com/question/25122507

#SPJ1

3 0
2 years ago
25. Several functions represent different savings account plans. Which functions are linear?
Mice21 [21]

Answer:

b, c, d

Step-by-step explanation:

y=kx+b

or

y=kx

so y=5,25x-right

y=0,5x-right

y=2,5x+7-right

8 0
3 years ago
A group of people were given a personality test to determine if they were Type A or Type B. the results are shown below Type A M
FinnZ [79.3K]

Answer:

Below<3

Step-by-step explanation:

Type a : 55 75

Type b:48 22

=  P(Male | Type B)> P(Male or Type B)

8 0
3 years ago
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