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Novosadov [1.4K]
3 years ago
14

Describe and correct the error in finding DC

Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer:

DC = 2

Step-by-step explanation:

The wrong equation was used.

The right equation to use based on the midsegment theorem of a trapezoid is:

MN = ½(AB + DC)

MN = 8

AB = 14

Substitute

8 = ½(14 + DC)

Multiply both sides by 2

8*2 = ½(14 + DC)*2

2*8 = 14 + DC

16 = 14 + DC

16 - 14 = 14 + DC - 14

2 = DC

DC = 2

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x P(x) 0 0.25 1 0.3 2 0.1 3 0.35 Find the standard deviation of this probability distribution. Give your answer to at least 2 de
barxatty [35]

Answer:

The standard deviation of this probability distribution is 1.2.

Step-by-step explanation:

We have that:

P(X = 0) = 0.25

P(X = 1) = 0.3

P(X = 2) = 0.1

P(X = 3) = 0.35

Mean:

Each value multiplied by its probability. So

M = 0*0.25 + 1*0.3 + 2*0.1 + 3*0.35 = 1.55

Variance:

Sum of the squares of the values subtracted from the mean, and multiplied by its probability.

V = 0.25*(0-1.55)^2 + 0.3*(1-1.55)^2 + 0.1*(2-1.55)^2 + 0.35*(3-1.55)^2 = 1.4475

Standard deviation:

Square root of the variance. So

S = \sqrt{V} = \sqrt{1.4475} = 1.2

The standard deviation of this probability distribution is 1.2.

6 0
3 years ago
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kirza4 [7]

Answer:

2

Step-by-step explanation:

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4 0
2 years ago
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Calculating the Sales Tax at Store B Store A Store B How much sales tax will be charged at Store B? Computer Repair $1,200 $1,35
ivanzaharov [21]

Answer:it’s 94.50

Step-by-step explanation: 7% of 1350 is 94.50 on edge

5 0
3 years ago
How many more cents per item is 3 items for $10 than 2 items for $5? Express your answer to the nearest whole number.
fiasKO [112]
10/3: 3.33
5/2:2.50

3.33-2.50=0.83

Answer: 83 cents.

5 0
3 years ago
How do u do 2 over 3 =A over 60 PLZ NO LINKS THANKS
Ivanshal [37]

Hey there!

2/3 = a/30

First: you have to CROSS MULTIPLY the given numbers

2(30) = 3(a)

2(30) = 60

3(a) = 3a

New EQUATION: 3a = 60

Second: DIVIDE 3 to BOTH SIDES

3a/3 = 60/3

CANCEL out: 3/3 because that gives you 1

KEEP: 60/3 because that helps you solve for your a-value

60/3 = a

60/3 = 20

Therefore, your answer is: a = 20

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

6 0
2 years ago
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