Simifyimg expressions pleaseeeeeeeee help me please I'm begging

Nina graphs the function y=⌊x⌋ to learn the properties of the parent floor function.

BabaBlast [244]

Answer:

5

Step-by-step explanation:

For positive numbers, the floor function y = ⌊x⌋ gives the integer portion of the number.

⌊5.7⌋ = 5

5 0

3 years ago

What is cos fata if sin fata= -8/10 and fata is in Quadrant 3?

stich3 [128]

Answer:

Step-by-step explanation:

First thing is to remember the sin ratio. It is, by definition, the side opposite over the hypotenuse of the reference angle. In QIII the side opposite the angle is -8 which is one of the legs of a right triangle, and the hypotenuse, which is always positive, is 10. That means that if we are going to find the cosine of the angle, we need the other leg of the triangle. Using Pythagorean's Theorem, we find that

$a^2+(-8)^2=10^2$ and

$100-64=a^2$ and

$a^2=36$ so

a = 6. But because we are QIII, that value is negative, because x is negative in QIII.

That leg happens to be the side adjacent to the angle. The cosine of the angle is the side adjacent over the hypotenuse. So now that we have the side adjacent as -6, we can say that the cosine of the angle is -6/10.

6 0

4 years ago

150 students in a tenth grade high school class take a survey about which video game consoles they own 60 students answer that o

Archy [21]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

150 students in a tenth grade high school class take a survey about which video game consoles they own. 60 students answer that one of their consoles is a Playstation, 50 answer that one of their consoles is an Xbox. Out of these, there are 20 who have both systems.

Let A be the event that a randomly selected student in the class has a Playstation and B be the event that the student has an XBOX. Based on this information, answer the following questions.

a) What is P(A), the probability that a randomly selected student has a Playstation?

b) What is P(B), the probability that a randomly selected student has an XBOX?

c) What is P(A and B), the probability that a randomly selected student has a Playstation and an XBOX?

d) What is P(A | B), the conditional probability that a randomly selected student has a Playstation given that he or she has an XBOX?

Answer:

a) P(A) = 2/5

b) P(B) = 1/3

c) P(A and B) = 2/15

d) P(A | B) = 2/5

Step-by-step explanation:

Total no. of students = 150

No. of students having playstation = 60

No. of students having xbox = 50

No. of students who have both playstation and xbox = 20

a) What is P(A), the probability that a randomly selected student has a Playstation?

P(A) = No. of students having playstation/Total no. of students

P(A) = 60/150

P(A) = 2/5

b) What is P(B), the probability that a randomly selected student has an XBOX?

P(B) = No. of students having xbox/Total no. of students

P(B) = 50/150

P(B) = 1/3

c) What is P(A and B), the probability that a randomly selected student has a Playstation and an XBOX?

The probability that a students has a Playstation and an Xbox is given by

P(A and B) = P(A)*P(B)

P(A and B) = (2/5)*(1/3)

P(A and B) = 2/15

d) What is P(A | B), the conditional probability that a randomly selected student has a Playstation given that he or she has an XBOX?

The conditional probability is given by

P(A | B) = P(A and B)/P(B)

P(A | B) = (2/15)/(1/3)

P(A | B) = 2/5

Alternatively:

P(A | B) = P(A∩B)/P(B)

Where P(A∩B) is given by

P(A∩B) = No. of students who have both playstation and xbox/Total no. of students

P(A∩B) = 20/150

P(A∩B) = 2/15

P(A | B) = P(A∩B)/P(B)

P(A | B) = (2/15)/(1/3)

P(A | B) = 2/5

6 0

3 years ago

Michael solved this inequality as shown:

Ludmilka [50]

Answer:

D.

Step-by-step explanation:

Becuase in order to get addition property

you need to add 2 to -8 and bam its 6

hoped it helped

8 0

3 years ago

What is 59,468 to the place of 9 the underlined digit

Diano4ka-milaya [45]

59,468

9 is in the thousands place

If you want to round, look at the hundreds place value. It is a 4. Because 4 is less than 5, round down.

59,000 is your rounded

hope this helps

4 0

4 years ago