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Zinaida [17]
3 years ago
9

Which of the following lists of ordered pairs is a function

Mathematics
1 answer:
True [87]3 years ago
4 0

Answer:

A

Step-by-step explanation:

A function can't have the same number more than once, so the answer is A since there are no repeating numbers.

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The lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 h
DaniilM [7]

Answer:

Probability that a battery will last more than 19 hours is 0.0668.

Step-by-step explanation:

We are given that the lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 hours.

<em>Let X = lifetime of a battery in a certain application</em>

So, X ~ N(\mu=16,\sigma^{2} =2^{2})

The z-score probability distribution for normal distribution is given by;

               Z = \frac{  X -\mu}{\sigma}  ~ N(0,1)

where, \mu = mean lifetime = 16 hours

            \sigma = standard deviation = 2 hours

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, the probability that a battery will last more than 19 hours is given by = P(X > 19 hours)

  P(X > 19) = P( \frac{  X -\mu}{\sigma} > \frac{19-16}{2} ) = P(Z > 1.50) = 1 - P(Z \leq 1.50)

                                              = 1 - 0.9332 = 0.0668

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.50 in the z table which has an area of 0.9332.</em>

Hence, the probability that a battery will last more than 19 hours is 0.0668.

5 0
3 years ago
Determine which of the following sets of ordered pairs represents a function
Illusion [34]

Answer:

B.

Step-by-step explanation:

Every answer besides B. has an input that repeats. A function contains inputs that have exactly one output. This means x values cannot have more than one y value.

8 0
3 years ago
7 increased by 5 times a number ?​
RideAnS [48]

Answer:

i wouldsay b

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
These are the values in Min-Su’s data set.
Ber [7]
The answer is (4,5) (5,-5) (6,-4) (7,3) (8,1).
3 0
3 years ago
Find the product of (x + 5)2.<br><br> x2 − 10x + 25<br> x2 − 25<br> x2 + 25<br> x2 + 10x + 25
TiliK225 [7]

if the question is (x + 5)^2, the product is x^2 + 10x + 25.

5 0
2 years ago
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