For each class, there are only two possible outcomes. Either Ariana is on time, or she is not. The probability of Ariana being on time for a class is independent of other classes. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The probability that Ariana is on time for a given class is 69 percent.

This means that $p = 0.69$

If there are 39 classes during the semester, what is the best estimate of the number of times out of 39 that Ariana is on time to class

This is E(X) when n = 39. So

$E(X) = np = 39*0.69 = 26.91$

Rounding

The best estimate of the number of times out of 39 that Ariana is on time to class is 27.

8 0

4 years ago

Which functions have a vertex with a x-value of 0? select three options. f(x) = |x| f(x) = |x| 3 f(x) = |x 3| f(x) = |x| − 6 f(x

Doss [256]

The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are functions have a vertex with a x-value of 0.

<h3>What is a function?</h3>

A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.

The standard absolute value function is found as;

$\rm f(x) = a|x - h| + k$

Where,

(h, k) denotes to the vertex

h is the vertex of the x-coordinate

k is the y-coordinate of the vertex

By comparing the standard equation with the given equation in the options we will get the functions to have a vertex with an x-value of 0;

$\rm f(x) = |x| \\\\ \rm f(x) = |x| + 3 \\\\ f(x) = |x| - 6$

The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are functions have a vertex with a x-value of 0.

Hence options 1,2 and 4 are functions that have a vertex with an x-value of 0.

To learn more about the function refer to the link;

brainly.com/question/12431044

8 0

2 years ago

What is the perimeter of an equilateral triangular lamina of side length 12 cm

Marina86 [1]

Answer:

It is 36 cm

Step-by-step explanation:

In equilateral triangle, all sides are equal.

${ \sf{perimeter = side + side + side}}$