Answer:
C. The square root of a number, positive or negative, is always positive. However, the cube of a negative number is negative.
Step-by-step explanation:
Of the choices offered, the one shown above is the only one that remotely makes any sense. Its description of square roots is erroneous, however.
The square root of a number n is the solution to the equation ...
x² = n
The function f(x) = x² has a range that only includes non-negative numbers, so the square root of a negative number does not exist. (Your answer choice says it is positive. It is actually non-existent among real numbers.)
On the other hand, the cube root of a number n is the solution to the equation ...
x³ = n
Since f(x) = x³ has a range that includes all real numbers, the cube root of n exists for all real numbers. (It is negative for negative values of n.)
_____
<em>Comment on answer wording</em>
The answer wording would be correct if the word "root" were left out.
ΠD = C
πD = 1π
D = 1π/π
D = 1
<span>the length of the diameter is 1 unit</span>
The answer is B.She subtracted the GCF from the second term in the expression instead of dividing.
Incorrect:
8b(4a-0)= 32ab-0
Correct:
8b(4a-1)=32ab-8b
Hope this helps! :)
160 is the answer.
<span>You know that 20%, or 1/5 equals 64 so you multiple 64 by 5 to get the full 100% number. In this question 320. You then divide 320 by 100 to get the value per 1%. Then multiple this by 50 to get 160. </span>
<span>To check that you have the right answer, you divide 320 by 100 then multiple by 20 and if you get 64, you have the right answer. </span>
Step-by-step explanation:
The “fun size” of a Snickers bar is supposed to weigh 20 grams. Because the penalty for selling Snickers candy bars that weigh less than 20 grams is so severe, the manufacturer calibrates the machine so that the mean weight is 20.2 grams. The quality control manager at the candy company is concerned that the candy produced does not weigh 20.2 grams. She obtains a random sample of 64 candy bars and weighs them. She finds that the mean weight of this sample is 20.05 grams with standard deviation 0.72. By answering the following questions, test the claim that the Snickers bars have a mean weight less than 20.2 grams at the level of α = 0.01.
1. Select from the following list all the requirements that are met in this problem scenario for this test: (circle your choice(s))
a. The population is approximately normal.
b. The population standard deviation is known.
c. The sample taken is a random sample.
d. The population standard deviation is unknown. e
. The degrees of freedom is 0.01.
f. The sample size is greater than 30.
2. Which of the following statements is correct?
a) Parameters describe sample characteristics.
b) Statistics describe population characteristics.
c) We use statistics to estimate the value of parameters.
d) We use parameters to estimate the value of statistics
Expert Answer
