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3 years ago

What is the equation of the line that passes through the point (-1,7) and has a slope of -2?

Mathematics

1 answer:

Pani-rosa [81]3 years ago

8 0

Y = -2x + b
Plug in the point
7 = -2(-1) + b
7 = 2 + b
b = 5
Final equation y = -2x + 5

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Household incomes are normally distributed with a mean of $47,500 and a standard deviation of $12,500. What is the probability o

Romashka [77]

Answer:

Option C: 15.87 is the correct answer

Step-by-step explanation:

Given

Mean = $47500

SD = $12500

We have to find the probability of having $60000 or more

So,

x = $60000

The z-score will be:

$z-score = z = \frac{x-mean}{SD}\\z = \frac{60000-47500}{12500}\\= \frac{12500}{12500}\\= 1$

Looking in the z-score table, we get

P(Z<60000) = 0.8413

In order to find the probability P(Z>60000) => 1-P(Z<60000)

= 1-0.8413

=0.1587

Converting into percentage: 0.1587*100 = 15.87%

Hence,

Option C: 15.87 is the correct answer

4 0

3 years ago

Screenshot Included Below

Elan Coil [88]

Answer:

The values for the given function f is defined by $f(x)=\frac{1}{2}x$ is

a) $f(0)=0$ ,

b) $f(18)=9$ and

c) $f(-18)=-9$

Step-by-step explanation:

Given that the function f is defined by $f(x)=\frac{1}{2}x$

Now to find the value of f(0), f(18) and f(-18)

Now take f(0)

Put x=0 in the given function $f(x)=\frac{1}{2}x$ we get

$f(0)=\frac{1}{2}(0)$

$=0$

Therefore $f(0)=0$

Put x=18 in the given function $f(x)=\frac{1}{2}x$ we get

$f(18)=\frac{1}{2}(18)$

$=9$

Therefore $f(18)=9$

Put x=-18 in the given function $f(x)=\frac{1}{2}x$ we get

$f(-18)=\frac{1}{2}(-18)$

$=-9$

Therefore $f(-18)=-9$

The values for the given function f is

a) $f(0)=0$ ,

b) $f(18)=9$ and

c) $f(-18)=-9$

4 0

3 years ago

Read 2 more answers

What is the constant of proportionality in the equation x/y=2/9<br> HURRY

const2013 [10]

Answer:

1/9

Step-by-step explanation:

Separate the fraction (1/9) from the variable x:

y = (1/9)x.

1/9 is the constant of proportionality.

5 0

4 years ago

What is the difference between 6^ and ^ 6 ?

Margarita [4]

I think it’s 6 to the exponential power or a number vs a number to the power of 6

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3 years ago

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o-na [289]

Answer:

search up the formula

Step-by-step explanation:

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3 years ago