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andrey2020 [161]
3 years ago
6

Given the line below.

Mathematics
1 answer:
geniusboy [140]3 years ago
7 0

Answer:

The equation of the line in point slope form is equal to

y+2=(x+2)

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(-2,-2) and (2,2)

substitute the values

m=\frac{2+2}{2+2}=1

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=1\\(x1,y1)=(-2,-2)

substitute the values in the formula

y-(-2)=(1)(x-(-2))

y+2=(x+2)

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A cricket team has a 0.25 chance of losing
Westkost [7]

Answer:

a) 0.125

b) 0.015635

c) 0.00000095367431640625‬

Step-by-step explanation:

a) 0.25^2 = 0.125

b) 0.25^3 = 0.015625

c) 0.25^{10} = 0.00000095367431640625\\\\

8 0
3 years ago
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What is the value of x?<br> 4/5<br> -<br> 1/10<br> =<br> 3/10
Vladimir79 [104]

Answer:

1/2

Step-by-step explanation:

3 0
3 years ago
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California.
pishuonlain [190]

Answer:

The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.1 = 0.9, so z = 1.28

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28*\frac{12.5}{\sqrt{3839}} = 0.3

The lower end of the interval is the sample mean subtracted by M. So it is 21.6 - 0.3 = $21.3.

The upper end of the interval is the sample mean added to M. So it is 21.6 + 0.3 = $21.9.

The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.

7 0
3 years ago
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The amount of simple interest accrued on a sum of money varies jointly with the amount of money, the interest rate, and the time
ziro4ka [17]
Find the amount of the first one
P=168/0.04*3
P=1400
Use the in the second one to find the interest
I=1400*0.06*4
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336 is double the amount of 168
So the answer is B
7 0
3 years ago
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11b: use your graphic display calculator to find the zero of f(x).
gayaneshka [121]

Answer:

The answer to your question is below

Step-by-step explanation:

                           f(x) = 27/x² - 16x

Evaluate the function when x:

              x                    f(x)

            -4                27/(-4)² - 16(-4)   = 27/16 + 64 = 65.69

            -3                27/(-3)² - 16(-3)   = 27/9 + 48 = 51

           - 2                27/(-2)² - 16(-2)   = 27/4 + 32 = 38.75

           - 1                 27/(-1)² - 16(-1)   = 27/1 + 64 = 91

             1                 27/(1)² - 16(1)   = 27/1 - 16 = 11

             2                27/(2)² - 16(2)   = 27/4 - 32 = -25.25

             3                27/(3)² - 16(3)   = 27/9 - 48 = -45

See the graph below

6 0
3 years ago
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