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Verizon [17]
3 years ago
14

One base of an isosceles trapezoid is 12 and the other is 20. What is the length of the midsegment?

Mathematics
1 answer:
mr_godi [17]3 years ago
6 0
The length of the midsegment of an isosceles trapezoid is the sum of the two bases, divided by 2. So this means -

(base 1+base2) / 2

(12+20) / 2

32/2

Length of midsegment = 16
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Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose tha
san4es73 [151]

Answer:

0.2364

Step-by-step explanation:

We will take

Lyme = L

HGE = H

P(L) = 16% = 0.16

P(H) = 10% = 0.10

P(L ∩ H) = 0.10 x p(L U H)

Using the addition theorem

P(L U H) = p(L) + P(H) - P(L ∩ H)

P(L U H) = 0.16 + 0.10 - 0.10 * p(L u H)

P(L U H) = 0.26 - 0.10p(L u H)

We collect like terms

P(L U H) + 0.10P(L U H) = 0.26

This can be rewritten as:

P(L U H)[1 +0.1] = 0.26

Then we have,

1.1p(L U H) = 0.26

We divide through by 1.1

P(L U H) = 0.26/1.1

= 0.2364

Therefore

P(L ∩ H) = 0.10 x 0.2364

The probability of tick also carrying lyme disease

P(L|H) = p(L ∩ H)/P(H)

= 0.1x0.2364/0.1

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3 0
3 years ago
A man has mislaid his wallet. He thinks there is a 0.4 chance that the wallet is somewhere in his bedroom, a 0.1 chance it is in
lana [24]

Answer:

a. Probability = 0.15

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Step-by-step explanation:

Given

P(Bedroom) = 0.4

P(Kitchen) = 0.1

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P(Living\ room) = 0.15

Solving (a): Probability of being somewhere else

This is calculated by subtracting the sum of given probabilities from 1.

Probability = 1 - (0.4 + 0.1 + 0.2 + 0.15)

Probability = 1 - 0.85

Probability = 0.15

Solving (b): Probability of being in bedroom or kitchen

This is calculated as:

Probability = P(Bedroom) + P(Kitchen)

Probability = 0.2 + 0.1

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6 0
3 years ago
I need help please?!):
Serggg [28]

Answer:

The answer is D.

Step-by-step explanation:

The first thing I did was substitute the variables in for x and y. This is the numbers in the answer choices: (x,y). I don't know if there is an easier way to do this, but you can replace the two numbers in for the variables since it's multiple choice.

For example,

A: -2+2*4=6   Isn't right

B: 1+2*-1= -1  Nope

C: (0,0) you can already tell it's not right because anything multiplied by 0 is 0.

D: -4+2*1=-2 This is the correct answer.

3 0
3 years ago
Two similar cylinders have surface areas of 24pi cm^2 and 54pi cm^2. The volume of the smaller cylinder is 16pi cm^2. What is th
ankoles [38]

Answer:

Step-by-step explanation:

i need this too

6 0
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