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Naddik [55]
3 years ago
8

Convert the equation `5x+2y=-8`into slope-intercept form.

Mathematics
2 answers:
NemiM [27]3 years ago
5 0

Answer:

y= -2.5x-4

Step-by-step explanation:

we have to isolate our y

subtract 5x from 5x+2y=-8 and move it to the right side

2y= -5x-8

divide everything by 2

y=-2.5x-4

I hope this helped you :)

Mila [183]3 years ago
3 0

Bradley C.
Apr 22, 2018
5
x
−
2
y
=
8
subtract
5
x
from both sides
−
2
y
=
8
−
5
x
y=
8
−
5
x
2
y=
−
5
x
2
−
4
s
l
o
p
e
=
−
5
x
2
y-intercept:
(
0
,
−
4
)
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A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical​ trials, 200,0
CaHeK987 [17]

Answer:

1) No, there is  not  enough evidence to support the claim that the vaccine was effective (P-value=0.104) .

The null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0

being the subindex 1 for the experimental group and subindex 2 for the control group.

2) Test statistic z=-1.26

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the vaccine was effective.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0

The significance level is 0.01.

The sample 1 (experimental group), of size n1=100000 has a proportion of p1=0.0002.

p_1=X_1/n_1=21/100000=0.0002

The sample 2 (control group), of size n2=100000 has a proportion of p2=0.0003.

p_2=X_2/n_2=30/100000=0.0003

The difference between proportions is (p1-p2)=-0.0001.

p_d=p_1-p_2=0.0002-0.0003=-0.0001

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{21+30}{100000+100000}=\dfrac{51}{200000}=0.00026

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.00026*0.99974}{100000}+\dfrac{0.00026*0.99974}{100000}}\\\\\\s_{p1-p2}=\sqrt{0+0.0000000025}=\sqrt{0.0000000051}=0.000071

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.00009-0}{0.000071}=\dfrac{-0.00009}{0.000071}=-1.26

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=P(z

As the P-value (0.104) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is  not  enough evidence to support the claim that the vaccine was effective.

6 0
3 years ago
Place decimal points in 34, 4, and 417 so that the sum of the three numbers is 7.97.
KIM [24]
3.4+0.4+4.17=7.97 you just have to try different combinations of different numbers with the decimals.
                                                             





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3 years ago
Zeno is walking in a straight line. With each step, he covers half the remaining distance between him and the end of his path, w
shtirl [24]
8 foot path

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3rd step = 2/2 = 1ft
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So he covered 7 1/2 ft (or 7.5ft)
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3 years ago
Find the midpoint of the line segment.
hram777 [196]

how about this maybe hai♥️

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Solve the equation and enter the value of x below. x(8 + 9) = 34​
vodomira [7]

\huge\boxed{\mathfrak{Answer}}

x(8 + 9) =  34 \\ 8x + 9x = 34 \\ 17x = 34 \\ x =  \frac{34}{17}  \\ x = 2

=> The answer is <u>2</u><u>.</u>

5 0
3 years ago
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