Length=10
width=6
6+6+10+10=32
6×10=60
look at the factors of 60 and see what two could make 60 but also equal 32
Answer:
Step-by-step explanation:
P(x) = x² - 1 and Q(x) = 5(x - 1)
(P - Q)(x) = x² - 1 - 5(x - 1)
= x² - 1 - 5x + 5
= x² - 5x + 4
Answer:
$0.48
Step-by-step explanation:
<u>Step 1: Make an equation to help show the relation ship
</u>
The phone company charges a 1.5% service fee on all long distance calls.
%1.5x
<em>0.015x
</em>
<u>
</u>
<u>Step 2: Plug in and then multiply
</u>
0.015x
0.015(32)
<em>$0.48
</em>
<u>
</u>
Answer: $0.48
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
