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antiseptic1488 [7]
3 years ago
15

Find the Slope without graphing (-4,3) (5,6)

Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0
Use the equation y2-y1/x2-x1

This gets you the equation
6-3/5-(-4) which equals 3/9

Simplify it to get the actual slope

So the slope is 1/3x
You might be interested in
Of the total population of American households, including older Americans and perhaps some not so old, 17.3% receive retirement
Alex Ar [27]

Answer:

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

Step-by-step explanation:

We use the binomial aproxiation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.173, n = 120. So

\mu = E(X) = np = 120*0.173 = 20.76

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.173*0.827} = 4.14

In a random sample of 120 households, what is the probability that more than 20 households but fewer than 35 households receive a retirement income?

We are working with discrete values, so this is the pvalue of Z when X = 35-1 = 34 subtracted by the pvalue of Z when X = 20 + 1 = 21.

X = 34

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

Z = \frac{34 - 20.76}{4.14}

Z = 3.2

Z = 3.2 has a pvalue of 0.9993

X = 21

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

Z = \frac{21 - 20.76}{4.14}

Z = 0.06

Z = 0.06 has a pvalue of 0.5239

0.9993 - 0.5239 = 0.4754

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

6 0
3 years ago
Simplify: 2x^2(4x^3 - 3x^2 + 6x)
Blababa [14]

Answer:

8x

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP! I NEED THIS
FinnZ [79.3K]

Answer:

x² + x - 30

Step-by-step explanation:

Given

(x - 5)(x + 6)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 6) - 5(x + 6) ← distribute both parenthesis

x² + 6x - 5x - 30 ← collect like terms

= x² + x - 30

6 0
3 years ago
What is <br>the answer. ​
lesantik [10]
Positive 28 because to negative will equal a positive number
7 0
2 years ago
Read 2 more answers
I need help with this
Harrizon [31]

105 \div 8.7

4 0
2 years ago
Read 2 more answers
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