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ELEN [110]
4 years ago
9

Choose the equation that represents the graph below:

Mathematics
1 answer:
Mandarinka [93]4 years ago
4 0

Answer:

y = -2x/3 + 6

Step-by-step explanation:

y = mx+b

m = y2-y1/x2-x1

m = 2 - 6/6 - 0

m= -4/6 = -2/3

b = y-intercept = 6

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Which graph represents the equation y = x2 + 1?
____ [38]

Answer:

im pretty sure its the last image.

Step-by-step explanation:

5 0
3 years ago
Please help quick I also give brainliest <3 also please out the units
Ira Lisetskai [31]

Answer:

1. 20.4

2. 84

3. 56

4. 171

5. 132

6. 297

7. 100

8. 56

9. 51

10. 828

Bonus: 644

Step-by-step explanation:

Sorry, if some are wrong.

7 0
3 years ago
A charity receives 2025 contributions. Contributions are assumed to be mutually independent and identically distributed with mea
uysha [10]

Answer:

The 90th percentile for the distribution of the total contributions is $6,342,525.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums of size n, the mean is \mu*n and the standard deviation is s = \sqrt{n}*\sigma

In this question:

n = 2025, \mu = 3125*2025 = 6328125, \sigma = \sqrt{2025}*250 = 11250

The 90th percentile for the distribution of the total contributions

This is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. Then

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

By the Central Limit Theorem

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

1.28 = \frac{X - 6328125}{11250}

X - 6328125 = 1.28*11250

X = 6342525

The 90th percentile for the distribution of the total contributions is $6,342,525.

3 0
3 years ago
Xanthia can read 100 pages per hour and Molly can read 50 pages per hour. If they each read the same book, and the book has 225
Talja [164]

Answer:

135 minutes

Step-by-step explanation:

Let

y -----> the number of pages to finish reading the book

x ----> the number of hours

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the unit rate or slope of the linear equation

b is the y-intercept or initial value

In this problem we have

<em>Xanthia</em>

m=100\ pages/hour

b=225\ pages

y=-100x+225 ----> the slope is negative because is a decreasing function

For y=0

substitute and solve for x

0=-100x+225

100x=225

x=2.25\ hours ---> Xanthia's time to finish reading the book

<em>Molly</em>

m=50\ pages/hour

b=225\ pages

y=-50x+225 ----> the slope is negative because is a decreasing function

For y=0

0=-50x+225

50x=225

x=4.5\ hours --- Molly's time to finish reading the book

To find out how many more minutes than Xanthia would it take for Molly to finish reading the book, subtract Xanthia's time from Molly's time

4.5\ h-2.25\ h=2.25\ h

Convert to minutes

Multiply by 60

2.25\ h=2.25(60)=135\ minutes

4 0
3 years ago
Read 2 more answers
What is the difference between the 208.472 and 149.361
Artemon [7]
The answer would be 59.111
5 0
4 years ago
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