A number to the 10th power divided by the same number to the 7th power equals 64. What is the number?

Graph the triangle with the following coordinates. Find the area of the triangle 2 different ways.

stira [4]

what triangle you have a picture?

8 0

2 years ago

which equation below represents the data in the table and PLEEEEASE show each and every step of how to solve I will make you the

kari74 [83]

The equation which represents the data in the table as in the task content is; Choice C; y = 2x +3.

<h3>What is the equation which represents the data in the table as attached?</h3>

It follows from the task content that the slope of the relation can be determined by means of the slope formula for a linear equation as follows;

Slope = (1-(-1))/(-1 -(-2))

Slope = 2.

Hence, the equation which represents the function is;

2 = (y-(-1))/(x -(-2))

2x + 4 = y +1

y = 2x + 3.

Therefore, the equation which represents the data in the table as in the task content is; Choice C; y = 2x +3.

Read more on equation of a table;

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8 0

1 year ago

The probability that your call to a service line is answered in less than 30 seconds is 0.85. Assume that your calls are indepen

aev [14]

Answer:

a) 0.1720

b) 0.8298

c) 19

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$p = 0.85$

(a) If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ .

So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{12,9}.(0.85)^{9}.(0.15)^{3} = 0.1720$

(b) If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$