Answer:
92
Step-by-step explanation:
Answer:
a) 0.0228
b) 94.6
Step-by-step explanation:
The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
n = random number of samples
Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,
a) what is the probability that the sample mean is above 95? (4 d.p.) b)
= x = 95
Hence:
z = 95 - 75/40/√16
= 20/40/4
= 20/10
= 2
Probability value from Z-Table:
P(x<95) = 0.97725
P(x>95) = 1 - P(x<95) = 0.02275
The probability that the sample mean is above 95 to 4 decimal places = 0.0228
b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?
97.5% chance = z score for the confidence interval = 1.96
Hence:
z = (x-μ)/σ/√n
1.96 = x - 75/40/√16
1.96 = x - 75/ 40/4
1.96 = x - 75/10
Cross Multiply
1.96 × 10 = x - 75
19.6 = x - 75
x = 19.6 + 75
x = 94.6
The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6
If in ax^2+bx+c=0 form then
use quadratic formula
x=
or
input and subsitute and that is the answer
Answer:
Step-by-step explanation:
<span>The function y = –3x² –12x + 3 is a parabola facing either upward of downward. we use completing the squares to find the vertex.
</span>y = -3(x² + 4x + 1)
(k/2)^2 = (4/2)^2 = 4
y = -3(x² + 4x + 4 + 1 - 4)
<span>y = -3(x + 2)² + 9
</span>y- 9 = <span>-3(x + 2)²
vertex is equal to at (-2,9)</span>
