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Shalnov [3]
3 years ago
6

Help me out please.......

Mathematics
2 answers:
GarryVolchara [31]3 years ago
7 0
If the slope of the red line is one, the slope of the green line is also one. That's because parallel lines have the same slope. 
jasenka [17]3 years ago
5 0
Parallel lines have the same slope, so the blue line's slope is also 1 .

If you didn't know that, you could work out the slope using the 2 points on the line that they gave you. The slope is

(difference in the y-values of the points)
divided by
(difference in their x-values)
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Halloween Candy Halloween is Kelly's favorite holiday of the year! Based on experience, Kelly knows that on average, each house
LuckyWell [14K]

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

Normal Probability Distribution

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, for n instances of a normal variable, the mean is n\mu while the standard deviation is s = \sigma\sqrt{n}.

In this problem:

  • Mean of 4 candies, hence \mu = 4.
  • Standard deviation of 1.5 candies, hence \sigma = 1.5.
  • She visited 35 houses, hence n = 35, \mu = 35(4) = 140, s = 1.5\sqrt{4} = 3

The probability is the <u>p-value of Z when X = 122</u>, hence:

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{122 - 140}{3}

Z = -6

Z = -6 has a p-value of 0.

Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

A similar problem is given at brainly.com/question/24663213

6 0
2 years ago
Simplifying rational expressions
Sonbull [250]
1. \frac{(c + 8)(c - 8)}{(c - 8)(c + 3)}_,_
    \frac{c + 8}{c + 3}_,_

2. \frac{n^{2} + 4n - 12}{n^{2} + 2n - 8}_,_
    \frac{n^{2} + 6n - 2n - 12}{n^{2} + 4n - 2n - 8}_,_
    \frac{n(n) + n(6) - 2(n) - 2(6)}{n(n) + n(4) - 2(n) - 2(4)}_,_
    \frac{n(n + 6) - 2(n + 6)}{n(n + 4) - 2(n + 4)}_,_
    \frac{(n - 2)(n + 6)}{(n - 2)(n + 4)}_,_
    \frac{n + 6}{n + 4}_,_

3. \frac{42x^{2}y^{3}}{28x^{3}y}_,_
    \frac{3y^{2}}{2x}_,_

4. \frac{m^{2} - 3m - 10}{m - 5}_,_
    \frac{m^{2} - 5m + 2m - 10}{m - 5}_,_
    \frac{m(m) - m(5) + 2(m) - 2(5)}{m - 5}_,_
    \frac{m(m - 5) + 2(m - 5)}{m - 5}_,_
    \frac{(m + 2)(m - 5)}{m - 5}_,_
    m + 2_,_
3 0
3 years ago
Which function is increasingnon the interval (negative infinity, positive infinity)
BlackZzzverrR [31]

Answer:

h(x) = 2^(x) - 1.

Step-by-step explanation:

Let's look at each equation:

f(x) = -3x +7, Well as x increases, since it's multiplication, there are "going to be more" -3's, so it's going to be decreasing.

g(x) = -4(2^x). While 2^x is increasing, because "there are going to be more 2's multiplied by each other" as x increases, it's being multiplied by a negative number, so it's actually going to be decrasing

h(x) = 2^(x) - 1. Here's it's going to be increases as x goes towards infinity because "there are going to be more 2's multiplied by each other", and there isn't any negative sign, while there is a negative 1, it's constant, so the overall value will be increasing

3 0
1 year ago
Elena is thinking about putting $200 in a savings account that earns 4% interest compounded semiannually. She wants to keep that
Nastasia [14]
I’m not 100% bc/ I learned this last semester, but I think it’s B. So sorry if I’m wrong. I think this bc/ 0.04 is the interest rate as a percent, 4 is the time, 200 is the amount of money, and the one shows that it is exponential growth.
8 0
3 years ago
Read 2 more answers
ASAAPPP!! Which of the following exponential equations could be represented by the table below?
Ne4ueva [31]

Answer:

Option C

Step-by-step explanation:

Just took the quiz and it was right.

7 0
3 years ago
Read 2 more answers
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