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kupik [55]
3 years ago
12

What is the slope of the line that passes through (-8, 2) and (4, 5)?

Mathematics
1 answer:
sergiy2304 [10]3 years ago
4 0

Answer:

1/4

Step-by-step explanation:

Slope = (5-2) / (4-(-8))

= 1/4

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Please help I am so lost!!!
ASHA 777 [7]
\bf tan\left( \frac{x}{2} \right)+\cfrac{1}{tan\left( \frac{x}{2} \right)}\\\\
-----------------------------\\\\
tan\left(\cfrac{{{ \theta}}}{2}\right)=
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\pm \sqrt{\cfrac{1-cos({{ \theta}})}{1+cos({{ \theta}})}}
\\ \quad \\

\cfrac{sin({{ \theta}})}{1+cos({{ \theta}})}
\\ \quad \\

\boxed{\cfrac{1-cos({{ \theta}})}{sin({{ \theta}})}}
\end{cases}\\\\

\bf -----------------------------\\\\
\cfrac{1-cos(x)}{sin(x)}+\cfrac{1}{\frac{1-cos(x)}{sin(x)}}\implies \cfrac{1-cos(x)}{sin(x)}+\cfrac{sin(x)}{1-cos(x)}
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\cfrac{[1-cos(x)]^2+sin^2(x)}{sin(x)[1-cos(x)]}\implies 
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\\\\\\
\cfrac{1-2cos(x)+\boxed{1}}{sin(x)[1-cos(x)]}\implies \cfrac{2-2cos(x)}{sin(x)[1-cos(x)]}
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4 0
3 years ago
Lifetime of $1 Bills The average lifetime of circulated $1 bills is 18 months. A researcher believes that the average lifetime i
OLEGan [10]
<h2>Answer with explanation:</h2>

Let \mu be the population mean lifetime of circulated $1 bills.

By considering the given information , we have :-

H_0:\mu=18\\\\H_a:\mu\neq18

Since the alternative hypotheses is two tailed so the test is a two tailed test.

We assume that the lifetime of circulated $1 bills is normally distributed.

Given : Sample size :  n=50 , which is greater than 30 .

It means the sample is large so we use z-test.

Sample mean : \overline{x}=18.8

Standard deviation : \sigma=2.8

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{18.8-18}{\dfrac{2.8}{\sqrt{50}}}\approx2.02

The p-value= 2P(z>2.02)=0.0433834

Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.

6 0
3 years ago
Stefan did an experiment similar to the jumping jack exercise. He collected data on the number of deep knee bends a person could
stiks02 [169]

Answer:

What is the question tho?

Step-by-step explanation:

6 0
3 years ago
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Someone please help me. ASAP
Svetllana [295]

Answer:

y=2

Step-by-step explanation:

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Multiply each side by 3 to get rid of the fraction

3*1/3 (y+7) = 3*3(y-1)

y+7 = 9(y-1)

Distribute

y+7 = 9y - 9

Subtract y from each side

y+7-y = 9y-y-9

7 = 8y -9

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16 = 8y

Divide each side by8

16/8 = 8y/8

2 = y

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3 years ago
a mountain decends a mountain for 5 hours. On average, she climbs down 500 feet each hour. what is her change in elevation after
pentagon [3]
I 5 hours she will be 2,500 feet down
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