Answer:
C
Step-by-step explanation:
because 81 can be perfectly divided only to : 3,27,9,81,1
in all those cases none of them can be equal to 16
<span>y-intercept: set x=0 </span>
<span>y = 3(0)^2 - 6(0) - 8 </span>
<span>y = -8 </span>
<span>x-intercept: set y=0 </span>
<span>0 = 3x^2 - 6x - 8</span>
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
Answer:
D is the answer
Step-by-step explanation:
The first vector's speed is 12.57 meters for one second
The second vector's speed is 5.21 meters for one second
The total distance is 12.57+5.21 = 17.78 meters over two seconds
Hence the speed is 17.78 / 2 = 8.89m/s
