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Nesterboy [21]
2 years ago
13

20 pointss please help I appreciate it <333

Mathematics
1 answer:
ivanzaharov [21]2 years ago
3 0

Answer:

DE = 7.07 RS = 11.04 not congruent

Step-by-step explanation:

Formula:

d=\sqrt{(x2-x1)^2 + (y2-y1)^2}

D (5,0) E (0,-5)

DE

d=\sqrt{(0-5)^2 + ( -5 - 0)^2}

d=\sqrt{(-5)^2 + (-5)^2}

d=\sqrt{25+25}

d=\sqrt{50}

d= 7.07

R (-5,-5) S (6,-6)

RS

d=\sqrt{(6-(-5))^2 + (-6 - (-5))^2 }

d=\sqrt{11^2 + (-1)^2}

d=\sqrt{121 + 1}

d=\sqrt{122}

d= 11.04

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2 years ago
(2 points) An article in the Washington Post on March 16, 1993 stated that nearly 45 percent of all Americans have brown eyes. A
lara31 [8.8K]

Answer: a) z=1.43

b) 0.1528

Step-by-step explanation:

The given set of hypothesis :

H_0:p=0.45

H_a:p\neq0.45

Since the alternative hypothesis H_a is two-tailed , so we perform two-tailed test.

Also, it is given that : A random sample of n=76 Americans found 28 with brown eyes.

Sample proportion: \hat{p}=\dfrac{28}{76}=0.3684

a) The z-statistic would be :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

\Rightarrow\ z=\dfrac{0.3684-0.45}{\sqrt{\dfrac{0.45(1-0.45)}{76}}}=-1.4299121397\approx-1.43

b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)

=2P(z>1.43)

=2(1-P(z≤1.43)

=2-2P(z≤1.43)

= 2-2(0.9236)[Using standard z-table]

= 2-1.8472=0.1528

Hence,  the P-value of the test= 0.1528

6 0
3 years ago
#2 only <br> And it's to confusing
ipn [44]
They are easy to compare if they all have the same common denominator, then you can easily order them by the magnitude of the numerators...

85/10, -67/10, -56/10, 82/10  so now they are easy to compare...so

-6.7, -28/5, 8.2, 17/2
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What are the factors of 36
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1,36. 2,18. 3,12. 4,9. 6,6. I thibk thats all
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