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2 years ago

What is the slope of the line that passes through (4, 12) and (5, 16)?

Mathematics

2 answers:

Arlecino [84]2 years ago

5 0

Answer:

8/10

Step-by-step explanation:

The rise on the y axis is eight and the run on the x axis is 10

(Hope this helped)

Alex2 years ago

4 0

The slope is 4/1 aka 4!

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The government of Preon (a small island nation) was voted in at the last election with 58% of the votes. That was 2 years ago, a

mel-nik [20]

Answer:

a) $z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250$

b) $p_v =2*P(z>2.250)=0.0244$

If we compare the p value and the significance level given we see that $p_v$ we have enough evidence to reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Data given and notation

n=114 represent the random sample taken

$\hat p=0.684$ estimated proportion of people that their approval rating might have changed

$p_o=0.58$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Hypothesis

We need to conduct a hypothesis in order to test the claim that true proportion of people that their approval rating might have changed is 0.58 or no.:

Null hypothesis: $p=0.58$

Alternative hypothesis: $p \neq 0.58$

Part a

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250$

Part b: Statistical decision

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>2.250)=0.0244$

If we compare the p value and the significance level given we see that $p_v$ we have enough evidence to reject the null hypothesis at 5% of significance.

7 0

2 years ago

A gallon of water is equal to 231 cubic inches. How many gallons of water are needed to fill a fish tank that measures 11" high,

9966 [12]

We know that

[volume of a fish tank]=11*14*9-------> 1386 in³

if 1 gallon--------------> 231 in³
X------------------------> 1386 in³
X=1386/231-------> X=6 gallon

the answer is
are needed 6 gallons of water to fill a fish tank

3 0

3 years ago

Harper is a salesperson who sells computers at an electronics store. She makes a base pay amount of $100 per day regardless of s

g100num [7]

Answer:

100x-p*1%

Step-by-step explanation:

5 0

2 years ago

Mary has twice as many pencils as she has pens. Tom borrows a pen. Now, Mary has ten less pens than pencils. How many pencils do

I am Lyosha [343]

X - the number of pencils
y - the number of pens

She has twice as many pencils as she has pens.
$x=2y$

Tom borrows a pen, so she has y-1 pens. Now she has ten less pens than pencils.
$x-10=y-1 \\
x=y-1+10 \\
x=y+9$

Set 2y and y+9 equal to each other:
$2y=y+9 \\
2y-y=9 \\
y=9$
She has 9 pens.

3 0

2 years ago

Find two numbers whos diffrence is 16 and the product is 720

antiseptic1488 [7]

Answer:

the numbers who's difference is 16 and the product is 720 is

36 &20

Explanation:

to finding numbers you have to express the equation in a quadratic equation then Factor it.

since the two numbers have a difference of 16 you can say that the first number is x and the second number is x -16 then their product is 720.

x(x-16)=720

x²-16x=720

x²-16x-720=0

(x-36)(x+20)

there are two possible value of x but since you are looking for the positive value of x, choose the positive value of x the first number is 20.

To find the second number

x-16=20

x=20+16

x=36

the second number is 36

Now to check

36-20=16

20*36=720

8 0

2 years ago