Answer:
8= the first one second and fourth
Step-by-step explanation:
You're on the right track! Now that you have drawn a right triangle with the hypotenuse as the segment from Joe's home to the Park, we can use Pythagorean Theorem to solve for the hypotenuse.
Pythagorean Theorem = a squared + b squared = c squared
A and B are the legs, and C is the hypotenuse. We can find the legs be calculating how many units they are.
2 - (-1) = 3
3 - 1 = 2
Pythagorean Theorem = 3 squared + 2 squared = c squared
= 9 + 4 = c squared
= 13 = c squared
=
= c
The square root of 13 is around 3.6, so Joe's house is approximately 3.6 miles away from the park.
Answer:
y <- 2
Step-by-step explanation:
-2*(4*y-3)-(22)>0
Step by step solution :
(0 - 2 • (4y - 3)) - 22 > 0
Pulling out like terms :
Pull out like factors :
-8y - 16 = -8 • (y + 2)
-8 • (y + 2) > 0
Divide both sides by -8
Remember to flip the inequality sign:
Subtract 2 from both sides
y < -2
The two equations are
y=7x+5
y=4x+25
the only time the bags would match prices would be a bag that weighs 6.667 pounds and it would be worth $51.67
Answer and Step-by-step explanation: P(X) calculated by the binomial probability formula is:
P(X) = .
P(20) =
P(20) =
P(20) = 0.0552
To determine whether the normal distribution can be used to estimate this probability, both n.p and n.(1-p) must be greater than 5:
n . p = 53*0.3 = 15.9
n.(1-p) = 53(1-0.3) = 37.1
Since both ARE greater than 5, normal distribution can be used.
To approximate:
mean = n . p = 15.9
standard deviation = = 3.34
Find the z-score:
z = =
z-score = 0.8907
Comparing values:
0.8907 - 0.0552 = 0.8355