Start with the volume equation for a sphere:
V=4/3pi•r^3
The dimensions of the cylinder allow for a sphere with a diameter of 20 centimeters, so the radius of this sphere will be 10 centimeters. Substituting this into the equation:
V=4/3pi•(10)^3
or the uppermost right answer (B).
The number property that will justify the step in the following expression. 2(5 • 17) = (2 • 5) 17 = 10 • 17 = 170 is; Associative Property
<h3>What is the Number Property that was used?</h3>
The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.
Now, this associative property is used here because we see that;
2(5 • 17) = (2 • 5) 17
In both left and right hand sides we see that despite the change in order, the result remains the same.
Read more about Number Property at; brainly.com/question/24792133
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Answer:
a: 0.8884
b: 0.9934
Step-by-step explanation:
We have µ = 300 and σ = 70. The sample size, n = 125.
For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:
P(292 < x < 308).
We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.
We have P(292 < x < 308) = 0.8884
Next we want the probability of the sample mean to be within 17 units of the population mean, so we want the values from 283 to 317. We want to find
P(283 < x < 317)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(283 < x < 317) = 0.9934
The answer to this question is "you gained profit". The amount of money you gain from selling the stocks now is higher compared to the amount you spent a year ago. The amount you gain from the shares is ($62.25) x 723 = $45006.75. The amount you spent last year is ($47.75) x 723 = $34523.25. The difference between the values is $10483.47. Thus, you gained $10483.47.
Answer:
f(1) = 10
Step-by-step explanation:
Here you can just replace any x with 1.
f(1) = 9(1) - (1)2 + 3(1)
