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Ksju [112]
3 years ago
9

1. Find the slope of the line.

Mathematics
1 answer:
bija089 [108]3 years ago
8 0

Answer:

1/2

Step-by-step explanation:

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Find x<br><br>8(x+1)³ = 27(2x-1)³​
STatiana [176]

Answer:

As a fraction x = 5/4

As a decimal x = 1.25

Step-by-step explanation:

4 0
2 years ago
The work of a student to solve the equation 2(5y – 2) = 12 + 6y is shown below: Step 1: 2(5y – 2) = 12 + 6y Step 2: 7y – 4 = 12
kirza4 [7]
2(5y - 2) = 12 + 6y
7y - 4 = 12 + 6y ⇒ wrong, it has to be: 10y - 4 = 12 + 6y

so the correct answer is B 
7 0
3 years ago
Read 2 more answers
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
Determine the first expression to evaluate in each problem (3+3)+6÷3+6
hram777 [196]
To know what to do first in a math problem we look to order of operations... PEMDAS stands for parentheses, exponents, multiplication, division, addition, and subtraction.  So to begin we look for parentheses... do we have any?  Why, yes, yes we do.  Let's work!

(3+3) + 6 / 3 + 6 =

Add 3+3 in the parentheses. Since there is nothing else, the parentheses can go away.

6 + 6 / 3 + 6 =

Now, any exponents? Nope... Multiplication? Nope... division?  Yes!  Let's go!

6 + 2 + 6 =

Now all we have left is addition... Go for it!

8 + 6 = 14

Done!
3 0
3 years ago
Read 2 more answers
8x - 9 - 5x = 3x - 36 - 18x
makkiz [27]

Answer:

8x - 9 - 5x = 3x - 36 - 18x \\ 8x - 5x - 9 = 3x - 18x - 36 \\ 3x - 9 =  - 15x - 36 \\ 3x =  - 15x - 36 + 9 \\ 3x =  - 15x - 27 \\ 3x +  - 15x =  - 27 \\  - 12x =  - 27 \\ x =  \frac{ 27}{12}

8 0
3 years ago
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