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3 years ago

How many sides does a regular polygon have if each exterior angle is 15 degrees?

Mathematics

1 answer:

mash [69]3 years ago

6 0

Answer:

Step-by-step explanation:

The sum of the exterior angles of a polygon is 360°

Given that each exterior angle is 15°, then

number of sides = 360° ÷ 15° = 24

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A student is applying to two different agencies for scholarships. Based on the student’s academic record, the probability that t

fgiga [73]

Answer:

There is a 62% probability that the student will be awarded at least one of the two scholarships.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that the student gets a scolarship from Agency A.

B is the probability that the student gets a scolarship from Agency B.

We have that:

$A = a + (A \cap B)$

In which a is the probability that the student will get an scolarship from agency A but not from agency B and $A \cap B$ is the probability that the student will get an scolarship from both agencies.

By the same logic, we have that:

$B = b + (A \cap B)$

What is the probability that the student will be awarded at least one of the two scholarships?

This is

$P = a + b + (A \cap B)$

We have that:

$A = 0.55, B = 0.40$

If the student is awarded a scholarship from Agency A, the probability that the student will be awarded a scholarship from Agency B is 0.60.

This means that:

$\frac{A \cap B}{A} = 0.6$

$A \cap B = 0.6A = 0.6*0.55 = 0.33$

----------

$A = a + (A \cap B)$

$0.55 = a + 0.33$

$a = 0.22$

--------

$B = b + (A \cap B)$

$0.40 = b + 0.33$

$b = 0.07$

Answer:

$P = a + b + (A \cap B) = 0.22 + 0.07 + 0.33 = 0.62$

There is a 62% probability that the student will be awarded at least one of the two scholarships.

5 0

3 years ago

There are (2^6)^3• 2^0bacteria in a sample. What is the total number of bacteria in the sample?

Sedaia [141]

Answer:

262,144

Step-by-step explanation:

2^0 = 1

(2^6)^3 = 2^18 = 262,144

5 0

3 years ago

Read 2 more answers

Katrina wrote the standard form of a linear equation as 4x-2/3y=8. Sophia told her that the equation was not yet in standard for

Angelina_Jolie [31]

9514 1404 393

Answer:

multiply by 3 and divide by 2 to get 6x -y = 12.

Step-by-step explanation:

A standard form equation has mutually prime integers for coefficients, and the leading one is positive. We can get that here by multiplying by 3 (to eliminate the denominator) and dividing by 2 (to remove that common factor). The result is ...

4(3/2)x -(2/3)(3/2)y = 8(3/2)

6x -y = 12

6 0

3 years ago

I need to solve this to get zero can you help?

Alex

Given a right triangle with the side lengths of legs = 9 and 13

For the required angle :

opposite side = 9

adjacent side = 13

so,

$\begin{gathered} \tan \theta=\frac{opposite}{adjacent}=\frac{9}{13} \\ \\ \theta=\tan ^{-1}\frac{9}{13}=34.7 \end{gathered}$

7 0

1 year ago

7. William wrote a check for $150.00 for his gas bill, but he only has 96.26 in his checking account. What will happen to the ch

Alex17521 [72]

Answer:

-$53.74

Step-by-step explanation:

96.26 - 150.00 = -53.74

8 0

3 years ago