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3 years ago

What angle whose measure is equal to 90 ?

Mathematics

2 answers:

Ronch [10]3 years ago

8 0

A right angle has a measure of 90 degrees. Have a great day!

Stels [109]3 years ago

8 0

acute angle An angle that measures less than 90 degrees. right angle An angle that measures exactly 90 degrees. obtuse angle An angle that measures betwwen 90 and 180 degrees. straight angle An angle that measures exactly 180 degrees.

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A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the

iris [78.8K]

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

$Event\ 1 = \{1,2,3,4,5,6\}$

Next, we list out the sample space of F

$Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\$

$6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}$

In (1): the sample space of E is:

$E = \{1\}$

So:

$P(E) = \frac{n(E)}{n(Event\ 1)}$

$P(E) = \frac{1}{6}$

In (2): the sample space of F is:

$F = \{5,5,5,5\}$

So:

$P(F) = \frac{n(F)}{n(Event\ 2)}$

$P(F) =\frac{4}{36}$

$P(F) =\frac{1}{9}$

For E and F to be independent:

$P(E\ and\ F) = P(E) * P(F)$

Substitute values for P(E) and P(F)

This gives:

$P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}$

$P(E\ and\ F) = \frac{1}{54}$

However, the actual value of P(E and F) is 0.

This is so because $E = \{1\}$ and $F = \{5,5,5,5\}$ have 0 common elements:

So:

$P(E\ and\ F) = 0$

Compare $P(E\ and\ F) = \frac{1}{54}$ and $P(E\ and\ F) = 0$ .

These values are not equal.

Hence: the two events are not independent

6 0

3 years ago

NO LINKS!!!!! Write 5 summary for the data below. Show your work.

ankoles [38]

Answer:

$lower \: quartile = \frac{1}{4} \times 8 \\ = {2}^{nd} \\ = 3$

$upper \: quatile = \frac{3}{4} \times 8 \\ = 6 {}^{th} \\ = 7$

$median = \frac{1}{2} \times 8 \\ = 4 {}^{th} \\ = 5$

5 0

3 years ago

One angle of a right triangle measures 10°. What is the measure of the other acute angle?

Andrei [34K]

Answer:

80 degrees

Step-by-step explanation:

Do 90 plus 10.

The do 180 minus 100

because a triangle adds up to 180

5 0

3 years ago

Read 2 more answers

Which of the following is NOT a statistical question?

xeze [42]

D is not because you can not graph it.

4 0

2 years ago

Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 4 or 8?

sveticcg [70]

There are 6 numbers on each die.

The total number of out comes is 6 x 6 = 36.

To get a sum of 4, the combinations are: 1 & 3, 2 & 2 or 3 & 1.

To get a sum of 8, the combinations are: 1 & 7, 2 & 6, 3 & 5, 4 & 4, 7 & 1, 6 & 2, 5 & 3

The total of those combinations are: 3 + 7 = 10 total combinations of a sum of either 4 or 8.

The probability of either is 10/36, which can be reduced to 5/18.

8 0

3 years ago