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stira [4]
3 years ago
7

Which relation is a function​

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
8 0

Answer:

Top left one on the attached, must be option A

Step-by-step explanation:

A function has to have unique input values and for each input value has to have an output value.

Analyzing the graphs we can see that only one of them is a function- top left one

All the others have repeat input values, therefore are not functions

All those points marked with red circle

<em>Refer to attached </em>

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A picture is 5 cm longer than it is wide. the perimeter of the picture is 90cm. What is the width of the picture?
Igoryamba
Perimeter=2L+2W
L=W+5, substitute in place of 2L
90=2(W+5)+2W
90=2W+10+2W
90-10=4W
80=4W
80/4=W
W=20, if width is 20 than the length is 20+5=25 cm

8 0
3 years ago
Private nonprofit four-year colleges charge, on average, $27,293 per year in tuition and fees. The standard deviation is $7,235.
Natali5045456 [20]

Answer:

a) X\sim(27293,(7235)^2)

b) 0.1567

c) P_{70}=31084.14

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $27,293 per year

Standard Deviation, σ = $7,235

We are given that the distribution of cost of college is a bell shaped distribution that is a normal distribution.

a) Distribution of X

Let X be the cost for a randomly selected college. Then,

X\sim (\mu, \sigma^2)\\X\sim(27293,(7235)^2)

b) Probability that a randomly selected Private nonprofit four-year college will cost less than $20,000 per year.

P( x < 20000) = P( z < \displaystyle\frac{20000 - 27293}{7235}) = P(z < -1.008)

Calculation the value from standard normal z table, we have,  

P(x < 20000) = 0.1567

c) 70th percentile for the distribution.

We have to find the value of x such that the probability is 0.7

P( X < x) = P( z < \displaystyle\frac{x - 27293}{7235})=0.7  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 27293}{7235} = 0.524\\\\x = 31084.14  

The 70th percentile for the distribution of college cost is $31,084.14

4 0
3 years ago
6. A stoplight at an intersection stays red for 60 second, changes to green for 45
erica [24]

Answer:

0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds

Step-by-step explanation:

At each second, the stoplight is equally likely to change, which means that we use the uniform probability distribution to solve this question.

Uniform probability distribution:

Has two bounds, a and b. The probability of finding a value higher than x is given by:

P(X > x) = \frac{b - x}{b - a}

Red for 60 seconds

So when Jamal arrives it can change in any number of seconds between 0 and 60, that is, a = 0, b = 60

Probability that he will have to wait at a red light for more than 15 seconds?

P(X > 15) = \frac{60 - 15}{60 - 0} = \frac{45}{60} = \frac{3}{4} = 0.75

0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds

6 0
3 years ago
Marguerite answered 85% of the questions on her test correctly. What fraction of the questions did she answer correctly?
adelina 88 [10]
C will be the answer


6 0
3 years ago
Name:
zvonat [6]

Answer:7.375?

Step-by-step explanation:

4 0
3 years ago
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