X = 31.
because angles in a triangle add up to 180
Answer:
Step-by-step explanation:
Select the correct answer from each drop-down menu.
We solve using z score formula
z-score is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
The average time taken to complete a test follows normal probability distribution with a mean of 70 minutes and a standard deviation of 25 minutes.
a) The probability of a randomly selected student completing the test in 45 minutes or less is approximately equal to %.
z = 45 - 70/25
b) The probability of a randomly selected student completing the test in 95 minutes is %.
z = 95 - 70/25
Given: <span>y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.
The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.
Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:
y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14
Then the vertex is (-3, -14).</span>
Answer:
A) 57%
B) 16%
C) 53%
D) 57%
Step-by-step explanation:
Let R1 be students that attend class regularly
R2 be students that don't attend class regularly
A be students that receives A's in class
A) From the question A/R1 =57%
P(A/R1) = 0.57
B) From the question students that receive As that does not attend lectures regularly =16%
C) P(R2) = 1 -0.57 = 0.43
P(A) = P(A/R1) × P(R1) + P(A/R2)×P(R2)
P(A) = (0.57× 0.81) + (0.16×0
43)
P(A) = 0.46 + 0.0688= 0.53
The overall percentage that recieved A's = 53%
D) 57% recieved A's given that they attend class regularly.
Answer:
(-11, 1)
Step-by-step explanation:
moving to the left by 4 means -7 - 4 = -11
up one unit changes the 0 to 1
