B and C are the right answers since you don't want to mix colors
Answer:
Length of the hypotenuse = 8.5 units
Step-by-step explanation:
Given the length of the sides of an isosceles right triangle to be 6units
Hint: an hypotenuse is the longest line
To solve this, we use Pythagoras rule
Hypotenuse^2 = adjacent ^2 + opposite ^2
Adjacent = opposite = 6
Let our hypotenuse to be a
a^2 = 6^2 + 6^2
a^2 = 36 +36
a^2 = 72
To get a, let's find the square root of 72
a = 8.485 unit
Therefore, the length of the hypotenuse = 8.5 units
Answer:
the fraction of oranges in the basket would be 8/15 because we have 8 oranges and 15 fruits in total
Step-by-step explanation:
Answer:
the probability that the sample mean will be larger than 1224 is 0.0082
Step-by-step explanation:
Given that:
The SAT scores have an average of 1200
with a standard deviation of 60
also; a sample of 36 scores is selected
The objective is to determine the probability that the sample mean will be larger than 1224
Assuming X to be the random variable that represents the SAT score of each student.
This implies that ;

the probability that the sample mean will be larger than 1224 will now be:






From Excel Table ; Using the formula (=NORMDIST(2.4))
P(\overline X > 1224) = 1 - 0.9918
P(\overline X > 1224) = 0.0082
Hence; the probability that the sample mean will be larger than 1224 is 0.0082
Answer:
1). 2x^2-3x+20
2). 4x^2-14x+6
Step-by-step explanation:
1. (x-4)(2x+5)
FOIL:
(x)(2x)+5(x)-8(x)+(4)(5)
2x^2+5x-8x+20
=2x^2-3x+20
2. (4x-2)(x-3)
FOIL:
(4x)(x)-(3)(4x)-2(x)-2(-3)
4x^2-12x-2x+6
=4x^2-14x+6