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Art [367]
3 years ago
14

SYSTEM OF EQUATION WITH SUBSTITUTION

Mathematics
1 answer:
VMariaS [17]3 years ago
4 0

Answer: x=6, y=4

Step-by-step explanation:

substitute y with (x-2)  in the 1st equation

10x-9(x-2)=24

10x-9x+18=24

x+18=24

x=6

Then use 6 for x to solve for y

y=6-2

y=4

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Answer:

a) test statistic = 2.12

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Step-by-step explanation:

Given data :

N = 200

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p = x / n = 115 / 200 = 0.575

significance level ( ∝ ) = 0.1

<em>aim : test whether the proportion of girls births after the treatment is greater than 50% that occurs without any treatment </em>.

<u>A) Determine the test statistic </u>

H0 : p = 0.5

Ha : p > 0.5

to determine the test statistic we will apply the z distribution at ( ∝ ) = 0.1

Z - test statistic = ( 0.575 - 0.5)  / \sqrt{0.5*0.5 / 200}  = 2.12

<u>b) determine the p-value</u>

The P-value can be determined using the normal standard table

P-value = 1 - p(Z< 2.12 )  =  1 - 0.9830 = 0.017

c) Given that the p value ( 0.017 ) < significance level ( 0.1 )

we will reject the H0 because there is evidence showing that proportion of girls birth is > 50%

3 0
2 years ago
Rewrite using a single positive exponent.<br> 7^9 x 7^-2
lidiya [134]

Answer:

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Step-by-step explanation:

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Hope that helped.
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2 years ago
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