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3 years ago

Determine the implied domain of the function found in the first step. Express your answer in interval notation.

Mathematics

1 answer:

hodyreva [135]3 years ago

5 0

We can re-write the equation √(1-x) - 2y = 2 → - 2y = 2 - √(1-x)

→ 2y = - 2 + √(1-x) → and y = [ - 2 + √(1+x)]/2

Tis function "exists" as long as the radical is > or = to zero:
1+x > or = 0 → x>-1
{x ∈ R for x> =0}

You might be interested in

Find:

emmasim [6.3K]

Answer:

Step-by-step explanation:

Given the dataset 147, 154, 156, 161, 162,

Mean is the sum of the dataset divided by the total number of dataset.

a) Mean = $\sum Xi/N$

$\overline x = \dfrac{147+154+156+161+162}{5}\\ \\\overline x = \dfrac{780}{5}\\ \\\overline x= 156$

b) The formula for calculating the deviation from the mean for each value is expressed as $Xi - \overline X$ where;

Xi is value of each item

xbar is the mean = 156

Mean deviation of 147 = 147-156 = -9

Mean deviation of 154 = 154-156 = -2

Mean deviation of 156 = 156-156 = 0

Mean deviation of 161 = 161-156 = 5

Mean deviation of 162 = 162-156 = 6

c) Sum of the deviations $\sum Xi - \overline X$ = (-9-2+0+5+6)

$\sum Xi - \overline X$ = -11+11

$\sum Xi - \overline X$ = 0

<em>Hence the sum of deviation from the mean is 0</em>

5 0

3 years ago

Find the value of x.

allochka39001 [22]

In order to find the value of x, you have to cross multiply both equations. 4x-10 is basically 4 times something subtract 10. Same thing as well for 3x-2. Now it says to find the value of x. X has to also be the same answer for both equation as well. By the way x doesn't have a given number so there is no specific answer.

3 0

4 years ago

HELP ASAP PLEASE!!! AND PLEASE SHOW WORK 1. 20% OF ____= 40 2. 30% OF ____=90

lesya692 [45]

Answer: 1. 200, 2. 300

Step-by-step explanation:

40 * 10/2 = 400/2 = 200

or this way:

40 = 20%

40/2 = 20

20 = 10%

20 * 10 = 200

——————————————

90 * 10/3 = 900/3 = 300

or this way:

90 = 30%

90/3 = 30

30 = 10%

30 * 10 = 300

8 0

3 years ago

Read 2 more answers

The time taken to complete a motorcycle race is normally distributed, with an average time (µ) of 2.5 hours and a standard devia

torisob [31]

Using the normal distribution, there is a 0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 2.5, \sigma = 0.5$

The probability that a randomly selected cyclist will take at least 2.45 hours to complete the race is <u>one subtracted by the p-value of Z when X = 2.45</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2.45 - 2.5}{0.5}$

Z = -0.1

Z = -0.1 has a p-value of 0.4602.

1 - 0.4602 = 0.5398.

0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0

2 years ago

Need help with these 2 questions

posledela

Answer:

I worked really hard on this problem, I had to manually edit with my editing tool for 15 minutes lol.

4 0

3 years ago