Answer:
Because e is used so commonly in math and economics, and people in these fields often need to take the logarithm with a base of e of a number to solve an equation or find a value, the natural log was created as a shortcut way to write and calculate log base e. ... So ln(x) = loge(x). As an example, ln(5) = loge(5) = 1.609.
Step-by-step explanation:
Answer:
0.0043 is the probability that the sample of 20 bottles have a mean below 19.90 fl oz.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 20 fl oz
Standard Deviation, σ = 0.17 fl oz
We are given that the distribution of amount of soft drink poured is a bell shaped distribution that is a normal distribution.
Sample size, n = 20
Formula:
a) P(Sample of 20 bottles have a mean below 19.90 fl oz)
P(x < 19.90)
Calculation the value from standard normal z table, we have,
0.0043 is the probability that the sample of 20 bottles have a mean below 19.90 fl oz.
Answer:
W=30m L=90m
Step-by-step explanation:
A =2,700 m²
L=W+60
we know that area of a rectangle is A=L*W so we sustitute what we know
A=L*W
2,700 = (W+60)*W distribute
2,700 = W² +60W subtract 2,700 from both sides
W²+60W-2,700 =0
solve the quadratic equation with quadratic formula or on the calculator on the graph and will get W= -90 and W=30. Reject the -90 value because we can not have negative measurements. Our solution is W=30
L=A/W=2,700/30=90
Answer:
I think the last one but Im not 100% sure