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1 year ago

12

What is 2 hundreds + 15 tens + 6 ones

2 answers:

qwelly [4]1 year ago

5 0

Two one hundred is 200.
15 tens is 150.
Six ones is the same.
$200 + 150 + 6 = 456$

valentinak56 [21]1 year ago

3 0

=356// 200+150 (15x10)+6 //

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Answer:

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2 years ago

I rent a gym for $150.00 for 30 students. Another time I rent the gym for $270.00 for 70 students. I need to find a fixed rate.

masha68 [24]

Answer: y = 3x + 60

<u>Step-by-step explanation:</u>

Set up two equations and solve the system:

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2 years ago

What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.

GalinKa [24]

Options

A. UV = 14 ft and m∠TUV = 45°

B. TU = 26 ft

C. m∠STU = 37° and m∠VTU = 37°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

E. m∠UST = 98° and m ∠TUV = 45°

Answer:

A. UV = 14 ft and m∠TUV = 45°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Step-by-step explanation:

Given

See attachment for triangle

Required

What proves that: ΔSTU ≅ ΔVTU using SAS

To prove their similarity, we must check the corresponding sides and angles of both triangles

First:

$\angle UST$ must equal $\angle UVT$

So:

$\angle UST = \angle UVT = 98$

Next:

UV must equal US.

So:

$UV = US = 14$

Also:

ST must equal VT

So:

$ST = VT = 20$

Lastly

$\angle TUV$ must equal $\angle TUS$

So:

$\angle TUV = \angle TUS = 45$

Hence: Options A and D are correct

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2 years ago

Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proporti

lesya [120]

Answer:

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Step-by-step explanation:

<u>Step1 </u>:-

Given the two sample sizes are equal so $n_{1} =n_{2} = n$

Given the standard error (S.E) = 0.04

The standard error of the proportion of the given sample size

$S.E = \sqrt{\frac{pq}{n} }$

Step 2:-

here we assume that the proportion of boys and girls are equally likely

p= 1/2 and q= 1/2

$S.E = \sqrt{\frac{p(1-p)}{n} } \leq \frac{\frac{1}{2} }{\sqrt{n} }$

$\sqrt{n} = \frac{\frac{1}{2} }{S.E}$

squaring on both sides, we get

$n = \frac{1}{(2X0.04)^{2} }$

on simplification, we get

n= 156.25 ≅ 156

sample size (n) = 156

<u>verification</u>:-

$S.E = \sqrt{\frac{pq}{n} }= \sqrt{\frac{1}{4X156} } =\sqrt{0.0016}$

Standard error = 0.04

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1 year ago