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3 years ago

How to do this question plz answer me

Mathematics

1 answer:

alexandr402 [8]3 years ago

5 0

Answer:

140

Step-by-step explanation:

We first find out how much degrees altogether in the pentagon so we do

S = (n-2) x 180

s is the sum in the shape

n is the number of sides

S = (5-2) x 180

S = 3 x 180

S =540

Now that we have the sum we can add all the sides, first lets make the side ABC = x and side BCD = 2x:

115 + 125 + 90 + x + 2x = 540

330 + 3x = 540

3x = 540 - 330

3x = 210

x = 70

Now that we know x = 70 we can find side BCD, it says its is 2 x angle ABC

so we do 2x70 = 140

so Angle BCD = 140

I hope i did this correctly.

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5. A gallon of paint covers 300 square feet.

Vladimir79 [104]

Step-by-step explanation:

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3 years ago

A clerk has 4 different letters that need to go in 4 different envelopes. What is the probability that all 4 letters are placed

Burka [1]

1/4 * 1/3 * 1/2 * 1/1 = 1/24 chance that all 4 letters are placed in the correct envelopes.

With the first envelope, there are 4 choices of letters, so the probability of picking the correct letter is 1/4.

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3 years ago

According to an article, 47% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly select

In-s [12.5K]

Answer:

a) $P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b) $P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

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

c) $P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=9, p=0.47)$