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lilavasa [31]
2 years ago
7

What is the equation of this line?A: y=-3/2xB: y=2/3xC: y=-2/3x D: y=3/2x​

Mathematics
1 answer:
creativ13 [48]2 years ago
8 0

Answer:

b) y = 2/3x

Step-by-step explanation:

Slope (m) formula: \frac{y_2-y_1}{x_2-x_1}

I will be using (3,2) and (-3,-2) to find the slope:

m=\frac{-2-2}{-3-3}\\m=\frac{-4}{-6} \\m = \frac{2}{3}

y = mx + b\\y = \frac{2}{3}x+b

(3,2)

y = \frac{2}{3}x+b\\\\2 = \frac{2}{3}(3)+b\\\\2 = 2+b\\-2  -2\\\\0=b

y=mx+b\\\\y = \frac{2}{3}x+0\\\\y = \frac{2}{3}x

Hope this helps!

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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
Pls help this is really important
oee [108]

Answer:

x = 30 I'm sure hope this helps

7 0
3 years ago
What is i30<br> A. 1<br> B. -i<br> C. -1<br> D. i
Iteru [2.4K]
C) -1 is the answer to this question
5 0
3 years ago
Read 2 more answers
HELPPPP...
uysha [10]
A. $6800 + $1360= $8160 total cost

b.
$68.85 each * 165 bracelets = $11360.25
$11360.25- $8160 total cost = $11278.75 profit

$11278.75 profit/$8160 total cost= 1.38218
1.38218= about 138%

Final answer: 138%
Warning: This answer will vary if you find the percent over cost (not including duty).
7 0
3 years ago
8th Grade Functions: Bike Race
horrorfan [7]

Answer:

Juan wins the race

Step-by-step explanation:

<em>The complete question is attached.</em>

<em />

Time is on the horizontal axis.

Distance is on the vertical axis.

If you look first at y-axis (vertical), you will see that both lines (curves) go upto a distance of 4 miles. So, the race is of 4 miles. Both of them finish.

Now,

If you look at the corresponding x-axis value of where each curve ends, you will see:

Antonio finishes at 15 mins

Juan finishes at 13 minutes

So we can successfully say that Juan wins the race since he finishes 2 mins faster than Antonio.

Juan wins the race

7 0
3 years ago
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