X+5 = x^2 - x + 2
0 = x^2 -2x - 3
0 = (x-3)(x+1)
x = -1,3
y = -1 + 5 OR y = 3+5
y = 4 OR y = 8
y = 4,8
So we have two ordered pairs, (-1,4) and (3,8).
Hope that helped!
can you mark my answer as brainliest btw?
Answer:
P(Y ≥ 15) = 0.763
Step-by-step explanation:
Given that:
Mean =135
standard deviation = 12
sample size n = 50
sample mean
= 140
Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses
Then,

The probability that X is greater than 140 is :
P(X>140) = 1 - P(X ≤ 140)



From z tables,


Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140
Then;


∴
P(Y ≥ 15) = 1- P(Y< 15)
P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

P(Y ≥ 15) = 0.763
So you have a pole that is 10 feet tall that has a rope that goes from the top to the ground, the rope being 30 degrees to the ground... You can draw a right triangle using these dimensions. Now that you have a triangle, you look at where your 30degree angle is related to the side whose length you know and the side whose length you wish to find. The side you know is opposite from the 30 degrees while the side you want to find is the hypotenuse, for it goes down at an angle. You will use the opposite and hypotenuse sides, so, according to SOH CAH TOA, you will be using sin.

plug in those values and solve for your hypotenuse.
The easiest way to do this is if you knew the identities for special right triangles like the 30 60 90 triangles or the 45 45 90 triangles, but I showed you how to solve for your sides even if they're not special
Answer: Priya practiced for <u>189 minutes
</u>
Tyler practiced for <u>123 minutes
</u>
-------------------------------------------------------------------------------------------------------------
The Explanation: Now, Han spent 75 minutes practicing the piano over the weekend
Then, Priya practiced the violin for 152% as much time as Han practiced the piano.
Priya = 152% of 75 minutes + 75 minutes
= 152/100 × 75 + 75
= 1.52 × 75 + 75
= 114 + 75
= 189 minutes
Finally, Priya practiced for <u>189 minutes</u>
-------------------------------------------------------------------------------------------------------------
Tyler practiced the clarinet for 64% as much time as Han practiced the piano.
Tyler = 64% of 75 minutes + 75 minutes
= 64/100 × 75 minutes + 75 minutes
= 64 / 100 × 75 + 75
= 0.64 × 75 + 75
= 48 + 75
= 123 minutes
Lastly, Tyler practiced for <u>123 minutes</u>