So 1st consider that it's a square! That's very important. So for a square, all 4 sides are equal.
And now considering that the given information is the diameter. So any angle made at the circle extended from the 2 points of diameter gives an angle of 90°
Now consider one triangle. So we already know that 2 sides of the triangle are equal (because they are 2 sides of a square) , has a side of 10 (diameter) and and angle of 90°. So remaining 2 angles are 45°
Now solve it by applying
Answer:
315
Step-by-step explanation:
1. This is not a scale rectangle and it angers me.
2. All you have to do is draw proportions.
5x7=35
15x21=315
Youll notice that 5x3=15 and 7x3=21 so it’s just proportions!
The constants, -3 and -8, are like terms
The terms 3p and p are like terms
The terms in the expression are p^2, -3, 3p, -8, p, p^3
The expression contains 6 terms.
Like terms have the same variables raised to the same powers.
Answer:
0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.
Step-by-step explanation:
The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.
This means that
We want 3 boys, so
The director is going to choose 8 of these kittens at random to be in the commercial.
This means that
What is the probability that the director chooses 3 boy kittens and 5 girl kittens?
This is P(X = 3).
0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.
Answer:
8xy-3y + 2(9x-5y+4) = 18
Step-by-step explanation:
We need to find the value of the given expression:
8xy-3y + 2(9x-5y+4) ....(1)
when x = 3 and y = -4
Put the values of a and y in equation (1)
8×3×(-4)-3(-4)+ 2(9×3-5(-4)+4)
= -96 +12 + 2(27 + 20 +4)
= -84 + 2(51)
= -84 + 102
= 18
Hence, the value of the given expression is 18.