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3 years ago

What is the measure of each exterior angle of a decagon?

1 answer:

3 0

The sum of all of the exterior angles of any regular polygon is 360 (I'm assuming by decagon you mean a regular dodecagon).

Because the total has to be 360, and a decagon has 10 sides, you divide 360 by 10 to get each exterior angle.

360 ÷ 10 = 36, so each exterior angle of a decagon is 36 degrees.

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5<3+w PLZ HELP MEHHHH

Salsk061 [2.6K]

5<3+w
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3 years ago

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Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born

NikAS [45]

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Probability of a person being in May:

May has 31 days in a year of 365. So

$p = \frac{31}{365} = 0.0849$

Group of 20 friends:

This means that $n = 20$

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773$

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

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2 years ago

K over 1.5 equals 3 what is k

jeyben [28]

Answer:k=4.5

Step-by-step explanation:4.5/1.5=3

7 0

3 years ago

Candice spent 5 1/4 hours doing her homework. Her brother, Ronald, spent 1/2 that number of hours doing his homework. How many h

Elden [556K]

Let

x-----> the number of hours that Candice spent doing her homework

y-----> the number of hours that Ronald spent doing his homework

we know that

$x=5\frac{1}{4}\ hours$

convert mixed number to an improper fraction

$5\frac{1}{4}\ hours=\frac{5*4+1}{4}= \frac{21}{4}\ hours$

$x=\frac{21}{4}\ hours$ -------> equation A

$y=\frac{1}{2}x$ ------> equation B

Substitute equation A in equation B

$y=\frac{1}{2}*\frac{21}{4}=\frac{21}{8}\ hours$

convert an improper fraction to a mixed number

$\frac{21}{8}\ hours=2.625=2+0.625=2+\frac{5}{8}=2\frac{5}{8}\ hours$

therefore

the answer is the option B

$2\frac{5}{8}\ hours$

5 0

2 years ago

Read 2 more answers

MODELING REAL LIFE A baseball is thrown up in the air. The table shows the heights $y$ (in feet) of the baseball after $x$ secon

nikklg [1K]

The equation for the path of the ball can be measured using a regression model calculator which produced the quadratic model ;

y(x) = - 16x² + 36x + 4
Height at x = 1.7 = 18.89 feets

The table given :

Time, x : __0.5 ___ 1 ____ 1.5 ____ 2

Height, y _ 18 ____22 ___ 24 ____ 12

Using technology such as a quadratic regression calculator or excel ;

The quadratic regression model obtained is :

y(x) = - 16x² + 36x + 4

The height after, 1.7 seconds, x = 1.7 can be calculated thus :

Put x = 1.7 in the equation :

y(1.7) = - 16(1.7)² + 36(1.7) + 4
y = 18.89 feets

Therefore, the height of the baseball after 1.7 seconds will be 18.89 feets.

Learn more : brainly.com/question/22939512

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1 year ago