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Mathematics

1 answer:

salantis [7]2 years ago

7 0

Answer:

The horizontal line is the x axis

the vertical line is the y axis

The first number is always the number of the x axis

Example.

(6,9)

6 is in the x axis

9 is in the y axis

find the number 6 in the x axis (the horizontal one) and then go up until the number 9.

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Round 14.857 to the nearest tenth. A. 15.0 B. 14.8 C. 14.9 D. 10.0

LenKa [72]

C. 14.9 because the second number is 5 so you drop the seven and the 5 and round the 8 up to 9

5 0

3 years ago

Read 2 more answers

The length of time that an auditor spends reviewing an invoice is approximately normally distributed with a mean of 600 seconds

Bumek [7]

Answer: 11.5%

Explanation:

Since 1 minute = 60 seconds, we multiply 12 minutes by 60 so that 12 minutes = 720 seconds. Thus, we're looking for a probability that the auditor will spend more than 720 seconds.

Now, we get the z-score for 720 seconds by the following formula:

$\text{z-score} = \frac{x - \mu}{\sigma}$

where

$t = \text{time for the auditor to finish his work } = 720 \text{ seconds}
\\ \mu = \text{average time for the auditor to finish his work } = 600 \text{ seconds}
\\ \sigma = \text{standard deviation } = 100 \text{ seconds}$

So, the z-score of 720 seconds is given by:

$\text{z-score} = \frac{x - \mu}{\sigma}
\\
\\ \text{z-score} = \frac{720 - 600}{100}
\\
\\ \boxed{\text{z-score} = 1.2}$

Let

t = time for the auditor to finish his work
z = z-score of time t

Since the time is normally distributed, the probability for t > 720 is the same as the probability for z > 1.2. In terms of equation:

$P(t \ \textgreater \ 720) 
\\ = P(z \ \textgreater \ 1.2)
\\ = 1 - P(z \leq 1.2)
\\ = 1 - 0.885
\\ \boxed{P(t \ \textgreater \ 720) = 0.115}$

Hence, there is 11.5% chance that the auditor will spend more than 12 minutes in an invoice.

8 0

3 years ago

What is the domain of the function represented by the graph?

padilas [110]

Answer:

Option C x>0

GOOD LUCK FOR THE FUTURE ! :)

6 0

3 years ago

Given that f(x) = x2 − 4x − 3 and g(x) = x+3 over 4 , solve for f(g(x)) when x = 9

borishaifa [10]

9+3 =12
12/4 = 3

(3)2-4(3)-3
6-12-3
-9 is the answer