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lisabon 2012 [21]
4 years ago
14

URGENT I need the answers for this

Mathematics
1 answer:
Leona [35]4 years ago
7 0

Answer:

1 squared and 1 x squared

Step-by-step explanation:

You might be interested in
a 120 degree sector of a circle has an area of 67 square centimeters. to the nearest centimeter, what is the diameter of the cir
Vitek1552 [10]

Answer:

16 cm

Step-by-step explanation:

We have to first find the radius of the circle.

The area of a sector is given as:

A = \frac{\alpha }{360}  * \pi r^2

where α = central angle of the sector = 120°

r = radius of the circle

Therefore:

67 = \frac{120}{360} * \pi r^2\\\\\pi r^2 = \frac{360 * 67}{120}\\ \\r^2 = \frac{360 * 67}{120 * \pi}\\\\r^2 = 63.98\\\\r = \sqrt{63.98} = 8.0 cm

The diameter of a circle is twice its radius, therefore:

D = 2 * 8 = 16 cm

The diameter of the circle is 16 cm

8 0
3 years ago
(a) Consider a class with 30 students. Compute the probability that at least two of them have their birthdays on the same day. (
Galina-37 [17]

Answer:

a.) 0.7063

b.) 23

Step-by-step explanation:

a.)

Let X be an event in which at least 2 students have same birthday

     Y be an event in which no student have same birthday.

Now,

P(X) + P(Y) = 1

⇒P(X) = 1 - P(Y)

as we know that,

Probability of no one has birthday on same day = P(Y)

⇒P(Y) = \frac{365!}{(365)^{n} (365-n)! }      where there are n people in a group

As given,

n = 30

⇒P(Y) = \frac{365!}{(365)^{30} (365-30)! } = \frac{365!}{(365)^{30} (335)! } = 0.2937

∴ we get

P(X) = 1 - 0.2937 = 0.7063

So,

The probability that at least two of them have their birthdays on the same day  =  0.7063

b.)

Given, P(X) > 0.5

As

P(X) + P(Y) = 1

⇒P(Y) ≤ 0.5

As

P(Y) = \frac{365!}{(365)^{n} (365-n)! }

We use hit and trial method

If n = 1 , then

P(Y) = \frac{365!}{(365)^{1} (365-1)! } = \frac{365!}{(365)^{1} (364)! }  = 1 \nleq 0.5

If n = 5 , then

P(Y) = \frac{365!}{(365)^{5} (365-5)! } = \frac{365!}{(365)^{5} (360)! }  = 0.97 \nleq 0.5

If n = 10 , then

P(Y) = \frac{365!}{(365)^{10} (365-10)! } = \frac{365!}{(365)^{10} (354)! }  = 0.88 \nleq 0.5

If n = 15 , then

P(Y) = \frac{365!}{(365)^{15} (365-15)! } = \frac{365!}{(365)^{15} (350)! }  = 0.75 \nleq 0.5

If n = 20 , then

P(Y) = \frac{365!}{(365)^{20} (365-20)! } = \frac{365!}{(365)^{20} (345)! }  = 0.588 \nleq 0.5

If n = 22 , then

P(Y) = \frac{365!}{(365)^{22} (365-22)! } = \frac{365!}{(365)^{22} (343)! }  = 0.52 \nleq 0.5

If n = 23 , then

P(Y) = \frac{365!}{(365)^{23} (365-23)! } = \frac{365!}{(365)^{23} (342)! }  = 0.49 \nleq 0.5

∴ we get

Number of students should be in class in order to have this probability above 0.5 = 23

5 0
3 years ago
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
Ivanshal [37]

Answer:

HIJK is a parallelogram because the midpoint of both diagonals is unique and intersect each other, which means the diagonals bisect each other.

Step-by-step explanation:

We are given the following in the question.

HIJK is a parallelogram.

So it satisfies the property of parallelogram.

  • The diagonals of a parallelogram bisect each other.
  • That is the intersection of the diagonals of the parallelogram is unique and divide the diagonals in two equal parts each.

Thus,

HIJK is a parallelogram because the midpoint of both diagonals is unique and intersect, which means the diagonals bisect each other.

6 0
3 years ago
Read 2 more answers
PLS HELP ASAP<br> A.y=0.9x+3<br> B.y=0.7x+6<br> C.y=0.8x+5<br> D.y=13
ruslelena [56]
The answer is b. Y=0.7x
4 0
3 years ago
Subtracting Fractions.<br><br> Fill in the blanks, and the tenth one is 4 2/3 + 7 7/10=
GrogVix [38]
Hello! Although I can't give you the answers automatically. I'll just show you some steps on how to subtract & if you're still not figuring it out just message me! :)

Step 1: You have to make sure both denominators are both exactly the same or you won't get the answer correctly.

Step 2: Then subtract the numerators

Step 3: Simplify if needed.

Ex; If I have 1/2 of the pizza and my friend has 1/6 of the pizza. What will be my result if I subtract the fractions?

We'll have to take 1/2 and 1/6. You'll have to find what makes those numbers, what I mean is by multiplying both numerators and denominators.

\frac{1}{2}  -  \frac{1}{6}  =
You multiply by 3.
2 x 3 = 6

Then you'll change the denominator into 1/2 = 1/6

Result:
\frac{3}{6}  -    \frac{1}{6}  =
Then you just subtract.
3 - 1 = 2

Hint: Denominator never changes when you have your final result. So it's 2/6. It needs to be simplified.

\frac{2}{6}  \div  \frac{1}{3}
We divide by 2.

I hope this example helped you understand how to subtract fractions & if you don't know how to add mixed fractions you can always do around the world or other examples your teacher can provide! :)
3 0
4 years ago
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