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3 years ago

8

The squares on the two legs of a right triangle have an area of 20 cm and 5 cm, what is the area of the square on the hypotenuse

??
A) 125 cm
B) 425 cm
C) 25 cm
D) 15 cm

1 answer:

defon3 years ago

7 0

I think the answer is 125 cm

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Find the value of x in the following figure

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8

Step-by-step explanation:

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3 years ago

What is the product ?

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Answer: 25x^2 - 1^2

Explanation:

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2 years ago

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Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In p

Bingel [31]

Answer:

A)

<u><em>Null hypothesis:H₀:-</em></u><em> There is no significant difference between in drug resistance between the two states</em>

<u><em>Alternative Hypothesis :H₁:</em></u>

<em>There is significant difference between in drug resistance between the two states</em>

<em>B)</em>

<em>The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance</em>

<em> Rejected H₀</em>

<em>There is a significant difference in drug resistance between the two states.</em>

C)

P - value = 0.0066

<em>P - value = 0.0066 < 0.02</em>

<em>D) </em>

<em>1) Reject H₀ </em>

<em>There is a significant difference in drug resistance between the two states.</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given first sample size n₁ = 174</em>

Suppose that, of 174 cases tested in a certain state, 11 were found to be drug-resistant.

<em>First sample proportion </em>

$p_{1} = \frac{x_{1} }{n_{1} } = \frac{11}{174} = 0.0632$

<em>Given second sample size n₂ = 375</em>

Given data Suppose also that, of 375 cases tested in another state, 7 were found to be drug-resistant

<em>Second sample proportion</em>

<em> </em> $p_{2} = \frac{x_{2} }{n_{2} } = \frac{7}{375} = 0.0186$ <em></em>

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:H₀:-</em></u><em> There is no significant difference between in drug resistance between the two states</em>

<u><em>Alternative Hypothesis :H₁:</em></u>

<em>There is significant difference between in drug resistance between the two states</em>

<em>Test statistic</em>

<em> </em> $Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$ <em></em>

<em> Where </em>

<em> </em> $P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }$ <em></em>

<em> </em> $P = \frac{174 (0.0632) + 375 (0.0186) }{174+375 } = \frac{17.9718}{549} = 0.0327$ <em></em>

<em> Q = 1 - P = 1 - 0.0327 = 0.9673</em>

<u><em>Step(iii):-</em></u>

<em></em>

<em> Test statistic</em>

<em> </em> $Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$ <em></em>

<em> </em> $Z = \frac{0.0632-0.0186 }{\sqrt{0.0327 X 0.9673(\frac{1}{174 }+\frac{1}{375 } ) } }$ <em></em>

<em> Z = 2.7261</em>

<em> </em>

<em>Level of significance = 0.02 or 0.98</em>

<em>The z-value = 2.054</em>

<em>The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance</em>

<em> Reject H₀ </em>

<em>There is a significant difference in drug resistance between the two states.</em>

<u><em>P- value </em></u>

<em>P( Z > 2.7261) = 1 - P( Z < 2.726)</em>

<em> = 1 - ( 0.5 + A (2.72))</em>

<em> = 0.5 - 0.4967</em>

<em> = 0.0033</em>

we will use two tailed test

<em>2 P( Z > 2.7261) = 2 × 0.0033</em>

<em> = 0.0066</em>

<em>P - value = 0.0066 < 0.02</em>

<em> Reject H₀ </em>

<em>There is a significant difference in drug resistance between the two states.</em>

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3 years ago

Can someone explain, i'm literally sweating trying to figure it out

ASHA 777 [7]

Answer:

54 degrees.

Step-by-step explanation:

So a fun fact is that the exterior angle is equal to the sum of the opposite two interior angles (at least within triangles).

Given this, set these values equal to each other to get the value of a.

d = a + b

2a = (a+10)+44

2a = a + 54

a = 54

The measure of the exterior angle is 54 degrees.

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3 years ago

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olya-2409 [2.1K]

Leslie has 2.50
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5/2 (split equal between two people) =2.50
2.50+.25 (the amount elena has more than leslie) =2.75

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3 years ago