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KonstantinChe [14]
2 years ago
6

Ray BD bisects 2ABC. Use the diagram and the given angle measure to

Mathematics
1 answer:
Alenkinab [10]2 years ago
5 0
Assuming you mean angle ABC and not 2ABC?
Since ray BD bisects angle ABC we can set the two angle measures given equal to each other.
2x+7=4x-41
Solve for x=24
Plug in the x to find angle ABD 2(24)+7=55
therefore angle ABD is 55 and angle DBC is 55 so angle ABC is 110
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Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Wor
LenKa [72]

Given:

The given sets are:

Set a : 200, 104, 100, 160.

Set b: 270, 400, 483, 300, x.

Mean of set a: mean of set b= 3:8

To find:

The value of x.

Solution:

Formula for mean:

Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}

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The mean of set of b is:

Mean=\dfrac{270+400+483+300+x}{5}

Mean=\dfrac{1453+x}{5}

Mean=\dfrac{1453+x}{5}

It is given that,

Mean of set a: mean of set b= 3:8

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\dfrac{705}{1453+x}=\dfrac{3}{8}

8\times 705=3\times (1453+x)

5640=4359&#10;+3x

Isolate the variable x.

5640-4359&#10;=3x

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\dfrac{1281}{3}&#10;=x

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3 0
2 years ago
Suppose that the probability that a person books an airline ticket using an online travel website is 0.72. Consider a sample of
ExtremeBDS [4]

Answer:

0.183

Step-by-step explanation:

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p = 0.72

q = 1 - p

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= 0.28

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n = 10

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At least 9 out of 10 means

x ≥ 9 = x = 9 and x = 10

Hence,

P(x ≥ 9) = 10C9 × (0.72^9 × 0.28^10 - 9) + 10C10 × ( 0.72^10 × 0.28^10 - 10)

P(x ≥ 9) = 0.14559635388 + 0.0374390623

= 0.18303541631

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3 years ago
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2 years ago
A digital camera for 249.99 at 4%sales tax
aliina [53]
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2) After tax = $249.99
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