Answer:
99.7%
Step-by-step explanation:
Using the z score formula
z-score is z = (x-μ)/σ
where:
x = raw score
μ = population mean
σ = population standard deviation.
a) for x = raw score = 35
μ = population mean = 44
σ = population standard deviation =3
z = (35 - 44)/3
z = -9/3
z = -3
b) for x = raw score = 53
μ = population mean = 44
σ = population standard deviation =3
z = (53 - 44)/3
z = 9/3
z = 3
We would use the standard normal distribution table to find their probabilities
P(Z<=-3)=0.0013499
P(Z<=+3)=0.99865
So P(-3<=Z<=3)=0.99865 - 0.0013499 = 0.9973
Converting to percentage = 0.9973 × 100 = 99.73%
Therefore, the percentage of auto batteries of this brand that have a life of 35 to 53 months to one decimal place is 99.7%
Plot all of the points given on the same xy coordinate grid. Note how it is NOT possible to draw a vertical line through more than one point at a time (for any given single vertical line). Because of this, the relation passes the vertical line test making this a function.
The answer is choice A
Answer:
Total payable brokerage = £2350
Step-by-step explanation:
Given that:
Fixed fee charged by broker = £150
Percent of fee charged = 5.50%
Amount invested by customer = £40,000
Fee charged = 
Fee charged = 5.50 * 400 = £2200
Total brokerage payable = £150 + £2200 = £2350
Hence,
Total payable brokerage = £2350
Answer: 40, 48 and 56
Step-by-step explanation:
8 x 4 = 32
8 x 5 = 40
8 x 6 = 48
8 x 7 = 56
Slope= y2-y1/ x2-x1
= -1-2/-1+3
= -3/2 is the answer