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Morgarella [4.7K]
2 years ago
14

When Bermuda (B), Puerto Rico (P), and Miami (M) are joined on a map using straight lines, a triangle is formed. This triangle i

s know as the Bermuda Triangle ( or the sea monsters if you're a Percy Jackson fan ). According to the map, the distance MB is 1650 km, the distance mp is 1500 km, and the angle M is 57 . Calculate the distance from Bermuda to Puerto Rico, BP

Mathematics
1 answer:
Mice21 [21]2 years ago
8 0

The Bermuda Triangle is an imaginary area in the Atlantic Ocean regarded by many to be situated between its three corners in Miami in the United States, San Juan in Puerto Rico, and the island of Bermuda.

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Researchers have a sample size of 24 , and they are using the Student's t-distribution. What are the degrees of freedom and how
DerKrebs [107]

Answer:

For this case assuming that the random variable is X

df = n-1

And replacing n = 24 we got:

df = 24-1=23

And we notate the distribution we got: X \sim t_{n-1}= t_{23}

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

For this case assuming that the random variable is X

df = n-1

And replacing n = 24 we got:

df = 24-1=23

And we notate the distribution we got: X \sim t_{n-1}= t_{23}

7 0
2 years ago
Before a renovation, a movie theater had 111 seats. after the renovation, the theater has 144 seats. what is the approximate per
Blababa [14]
Change in number of seats = 144 - 111 = 33

percentage increase = 33/111 x 100 = 29.8% (nearest tenths)
3 0
2 years ago
Sheila places a 54 square inch photo behind a 12-inch-by-12-inch piece of matting.
nata0808 [166]
The are of a rectangle is calculated by multiplying the length and the width of the shape. First, we determine the dimensions of this figure. We do as follows:

Width = 12 - 2x - 2x = 12 - 4x
Length = 12 - x - x = 12 - 2x

Area = (Length)(Width)
Area = (12 - 2x )(12-2x)
3 0
2 years ago
Two angles are complementary. the measure of ∠abc is x° and the measure of ∠dbc is (3x + 10)°. what is the value of x? enter you
Marta_Voda [28]
This problem can be expressed through the equation:
x+3x+10= 90

To solve it we subtract 10 on both sides
→x+3x=80
Add x and 3x
→4x=80
And divide each side by 4
→x=80/4
→x=20

ANSWER:
20
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A small amphitheater has 8 rows that have 42 seats in each row. If an act needs to keep the first row empty but has all the rest
jok3333 [9.3K]

Answer:

i dont know sorry

Step-by-step explanation:

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2 years ago
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