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zysi [14]
3 years ago
6

Dakota tiled a floor with tiles that look like this:

Mathematics
1 answer:
Sliva [168]3 years ago
3 0
AB=8 in.
AC=6 in. 
BC=10 in.
<ABC=37 
<CAB=90
<ACB=53
<BCE=2*37=74
<CED=2*53=106
l=6*AB=6*8=48 in.
w=6*AC=6*6=36 in.


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At a rate of 4%, you paid $144.00 in interest over a two-year period. What was the original amount of your loan?
baherus [9]
Principal is the same as original amount. 
<span>1. You convert the rate % to a decimal number. (divide by 100) </span>

<span>2. Substitute: </span>

<span>P = 144 / (.04 x 2) </span>

<span>3. Solve: </span>

<span>P = 144 / .08 </span>
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3 years ago
From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men in the delegation?
Ostrovityanka [42]

Answer:

The expected number of men in the delegation is 0.86.

Step-by-step explanation:

Number of men = 3

Number of women = 4

A delegation of 2 is selected.

Let X be the number of men selected. So, the possible values of X are 0,1,2.

P(X=0)=\dfrac{^3C_0\times ^4C_2}{^7C_2}=\dfrac{2}{7}

P(X=1)=\dfrac{^3C_1\times ^4C_1}{^7C_2}=\dfrac{4}{7}

P(X=2)=\dfrac{^3C_2\times ^4C_0}{^7C_2}=\dfrac{1}{7}

The expected number of men in the delegation is

E(x)=0\times P(X=0)+1\times P(X=1)+2\times P(X=2)

E(x)=0\times \dfrac{2}{7}+1\times \dfrac{4}{7}+2\times \dfrac{1}{7}

E(x)=\dfrac{6}{7}

E(x)\approx 0.86

Therefore, the expected number of men in the delegation is 0.86.

4 0
3 years ago
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Answer:

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Step-by-step explanation:

MJ is part of the diameter of the circle and there is right angle between the diameter and HK

As the diameter and HK are perpendicular, HM=MK and mHJ= mJK

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3 years ago
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Rzqust [24]

Answer:

G(5) = 4

Step-by-step explanation:

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2 years ago
Solve for x and y <br><br><br>y=6+3x<br><br>x+y=110
mart [117]

Answer: x=1/3y−2

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Step-by-step explanation:

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3 years ago
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