Answer:
Step-by-step explanation:
The equation to solve is:
1. <u>On the left-hand side </u>use: "The product of a constant by a logarithm is equal to the logarithm raised to the constant"
Thus, the left-hand side is:
2. On the <u>right-hand side</u> use "The sum of two logarithms with the same base is the logarithm of the product":
Then, on the right-hand side:
3. <u>Make them equal</u>:
4. Since the two functions are the same, <u>make the arguments equal</u>:
5. <u>Solve the equation</u>:
Answer:
0.531 > 0.456
0.63 > 0.47
0.267 < 0.539
0.07 < 0.7
Step-by-step explanation:
a. 0.531 _____ 0.456
compare the numbers from left to right
5 is greater than 4 so 0.531 greater than 0.456
0.531 > 0.456
b. 0.63 _____ 0.47
6 is greater than 4. 0.63 > 0.47
c. 0.267 _____ 0.539
2 is less than 5 . so 0.267 less than 0.539
0.267 < 0.539
d. 0.07 _____ 0.7
0 is less than 7
0.07 < 0.7
Answer: 0.0099
Step-by-step explanation:
Answer:
a) 0.997 is the probability that the breaking strength is at least 772 newtons.
b) 0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 800 newtons
Standard Deviation, σ = 10 newtons
We are given that the distribution of breaking strength is a bell shaped distribution that is a normal distribution.
Formula:
a) P( breaking strength of at least 772 newtons)
Calculation the value from standard normal z table, we have,
0.997 is the probability that the breaking strength is at least 772 newtons.
b) P( breaking strength of at least 772 but not more than 820)
0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820.
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