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Llana [10]
2 years ago
12

In the triangle, angle RST is 90°. RS= 4cm and ST=3 cm. What is the length of RT? R 4 cm S T 3 cm​

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
5 0

Step-by-step explanation:

RT^2=RS^2+ST^2

RT^2=16+9=25

RT=√25=5

The answer is 5

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Factor completely -2x^3 + 6x^2
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We can factor a -2 and an x^2 out of this using GCF.

<h3><u>-2x^2(x - 3) is what we're left with, and is the fully factored form.</u></h3>
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4 a + 5 b when a = 4 and b = - 1.2
Firdavs [7]

The answer is 10.

4 a + 5 b when a = 4 and b = - 1.2

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In a cafeteria 3/10 of the students are eating salads, and 3/5 are eating sandwiches. There are 20 students in the cafeteria. Ho
Elanso [62]

We know that 3/10*20=6 students are eating salads.

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Kazeer [188]

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7 0
3 years ago
Use the information from the polling agency to determine the sample size needed to construct a 95% confidence interval with a ma
Ber [7]

Answer:

the sample size n= 771

sample proportion is p = 1/2

Step-by-step explanation:

<u>Step1:</u>-

marginal error formula is \frac{2S.D}{\sqrt{n} }

but if 'n' is sample size then n = \frac{1}{(margin error)^{2} }

Given margin error is 36% = 0.036

n= \frac{1}{(0.036)^2}

on simplification , we get n= 777 polling agencies

<u>Step 2</u>:-

Margin of error = \frac{2\sqrt{p(1-p)} }{\sqrt{n} }

substitute values , we get

\frac{36}{100}  = \frac{2\sqrt{p(1-p)} }{\sqrt{771} }

after simplification, we get

\sqrt{p(1-p)} = \frac{1}{2}

squaring on both sides, we get

p(1-p) = \frac{1}{4}

multiply 'p' inside

p-p^{2} =\frac{1}{4}

cross multiplication '4' and simplify

4p^{2} -4p +1 =0 ........(1)

finding 'p' value

The equation (1) is of the form (a-b)^{2} = a^{2} -2ab+b^{2}

(2p)^{2} -2(2p)(1)+1^{2} = (2p-1)^2

(2p-1)^2 =0

p=\frac{1}{2}

<u>conclusion</u>:-

The sample size is 771

the sample proportion is p = \frac{1}{2}

4 0
3 years ago
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