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3 years ago

8

What is the measure of one angle in a regular 25-gon?

1 answer:

Feliz [49]3 years ago

4 0

<span>The sum of the interior angles in an n-gon is
</span>∑<span>angles = 180(n-2)

Since we have a regular 25-gon, all of the angles will be equal in measure.

So, each angle will be: m</span>∠<span>X=180(n-2)/n = 180 x 23/25 = 165.6 deg</span>

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HELP PLS LMK IF U CANT READ IT AND I WILL TYPE IT

GenaCL600 [577]

Answer:

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Step-by-step explanation:

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2 years ago

32% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a

Tems11 [23]

Answer:

a) $P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

b) $P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

c) $P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

Step-by-step explanation:

1) 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".

2) Solution to the problem

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

$X \sim Binom(n=10, p=0.32)$

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:

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

Part a

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

Part b

$P(X> 2)=1-P(X\leq 2)=1-[P(X=0)+P(X=1)+P(X=2)]$

$P(X=0)=(10C0)(0.32)^0 (1-0.32)^{10-0}=0.0211$

$P(X=1)=(10C1)(0.32)^1 (1-0.32)^{10-1}=0.0995$

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

$P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

Part c

$P(2 \leq x \leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)$

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

$P(X=3)=(10C3)(0.32)^3 (1-0.32)^{10-3}=0.264$

$P(X=4)=(10C4)(0.32)^4 (1-0.32)^{10-4}=0.218$

$P(X=5)=(10C5)(0.32)^5 (1-0.32)^{10-5}=0.123$

$P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

6 0

3 years ago

Y=6x+21<br> -x+3y=12<br><br> Find x and y please

rosijanka [135]

For first one
Y=6x+21 can’t be changed
X=y/6-7/2
for the second
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Y=4+x/3

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2 years ago

What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?

zlopas [31]

<h3>given:</h3>

radius= 8 m

<h3>to find:</h3>

the volume of the sphere

<h3>solution:</h3>

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$v = \frac{4}{3} \times \pi \times {8}^{3}$

$v = 2144.66058 \: {m}^{3}$

$v = 2144.7 \: {m}^{3}$

<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>sphere</u><u> </u><u>is</u><u> </u><u>2144.7</u><u> </u><u>cubic</u><u> </u><u>meters</u><u>.</u>

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2 years ago

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valina [46]

Answer:

Answer below.

Step-by-step explanation:

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10 + 9 = 19

a + 19

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1/2 = 3/6

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3 years ago