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2 years ago

What is the slope of a line that passes throught the points (9,-1) and (4,-11)

Mathematics

1 answer:

lina2011 [118]2 years ago

4 0

Answer:

Step-by-step explanation:

slope = (y₂ - y₁) / (x₂ - x₁)

= (-11 - (-1)) / (4 - 9)

= -10 / -5

= 2

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The mean annual income for adult women in one city is $28,520 and the standard deviation of the incomes is $5600. The distributi

pshichka [43]

Answer:

$E(\bar{x}) = 28520$

Standard error of mean = 689

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $28,520

Standard Deviation, σ = $5600

Mean of sampling distribution =

$E(\bar{x}) = \mu = 28520$

As per Central Limit Theorem, if the sample size is large enough, then the sampling distribution of the sample means follow approximately a normal distribution.

Sample size, n = 66

Since the sample size is large, we can use normal distribution for approximation.

Standard error of mean =

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{5600}{\sqrt{66}} = 689.31 \approx 689$

7 0

3 years ago

F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b

NeX [460]

Answer: $m=\dfrac{-1}{3}, b=\dfrac{7}{3}$

Step-by-step explanation:

Given

Function is $f(x)=mx+b$

$f(-2)=3$

$\therefore 3=m(-2)+b\\\Rightarrow b-2m=3\quad \ldots(i)$

$f(4)=1\\\therefore 1=4m+b\quad \ldots(ii)$

from (i) and (ii) we get

$m=\dfrac{-1}{3}, b=\dfrac{7}{3}$

3 0

2 years ago

Emma Drew 13 hearts and 20 circles what is the ratio of hearts to all shape

wariber [46]

9514 1404 393

Answer:

13 : 33

Step-by-step explanation:

hearts : all shapes = hearts : (hearts + circles) = 13 : (13 +20) = 13 : 33

4 0

2 years ago

Solve the following:<br><br> 1 - .008 =

kykrilka [37]

Answer:

0.992

Step-by-step explanation:

do you not have a calculator

3 0

2 years ago

Read 2 more answers

A park is in the shape of a rectangle. The park is 5/8 mile long and 2/3 mile wide. What is the area of the park?

Elenna [48]

To find the area of a rectangle, you times the length and width together.
So in this case,
5/8 x 2/3 = 10/24.
This can be simplified to 5/12

7 0

2 years ago