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3 years ago

Help stuck on this question

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

6 0

Answer:

< b = 73°

Step-by-step explanation:

The angle with a measure of < 73° has the same measure as vertical angles if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent.

Therefore, the correct answer is: < b = 73°

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vlabodo [156]

Answer:

x = 5 ; z = 70

Step-by-step explanation:

Vertical angles have the same degree measure

(13x + 45) = 110

13x + 45 = 110

-45 -45

13x = 65

/13 /13

x = 5

Complementary angles add up to 180°

110 + z = 180

-110 -110

z = 70

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3 years ago

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Cerrena [4.2K]

Answer:

a=0.62, b=7/9, c=10/9

Step-by-step explanation:

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Mike's closing costs will add up to 4 percent and he'll make a down payment of 20 percent on a house that costs $210,000. Over t

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210000 * .20 = 42000 down payment

210000 * .04 = 8400 closing costs

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4 years ago

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A nationwide survey of seniors by the University of Michigan reveals that almost 18.0% disapprove of daily pot smoking. If 8 sen

UNO [17]

Answer:

$P(X\geq 2)=1- P(X$

And using the probability mass function we can find the individual probabilities:

$P(X=0)=(8C0)(0.18)^0 (1-0.18)^{8-0}=0.2044$

$P(X=1)=(8C1)(0.18)^1 (1-0.18)^{0-1}=0.3590$

And replacing we got:

$P(X\geq 2)=1 -[0.2044 +0.3590]= 0.4366$

Then the probability that at least 2 disapprove of daily pot smoking is 0.4366

Step-by-step explanation:

Let X the random variable of interest "number of seniors who disapprove of daily smoking ", on this case we now that:

$X \sim Binom(n=8, p=0.18)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X\geq 2)=1- P(X$

And using the probability mass function we can find the individual probabilities:

$P(X=0)=(8C0)(0.18)^0 (1-0.18)^{8-0}=0.2044$

$P(X=1)=(8C1)(0.18)^1 (1-0.18)^{0-1}=0.3590$

And replacing we got:

$P(X\geq 2)=1 -[0.2044 +0.3590]= 0.4366$

Then the probability that at least 2 disapprove of daily pot smoking is 0.4366

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3 years ago

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vagabundo [1.1K]

Answer:

6.96

Step-by-step explanation:

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3 years ago