It took Khalid 90 minutes to complete 40 tasks. Which answer choice is an equivalent rate?
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
Given
Required
Represent as an equation;
Expand the above
<em>Recall that b = $10 ----given</em>
becomes
Answer:
10.12
Step-by-step explanation:
Given:
- 0.07 cm thick = 0.007m and it is dr (the change in radius)
As we know that, the volume of a hemispherical dome with diameter 48 m is:
- V =
π
Take the derivative of V we have:
= 2π
<=> dV = 2π*dr
<=> dV = 2π* *0.0007 = 10.12
Hope it will find you well.
Answer:
The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly 0.907 = 90.7%.
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly
This probability is the pvalue of Z when X = 1600 + 300 = 1900 subtracted by the pvalue of Z when X = 1600 - 300 = 1300. So
X = 1900
By the Central Limit Theorem
has a pvalue of 0.9535.
X = 1300
has a pvalue of 0.0465.
0.9535 - 0.0465 = 0.907.
The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly 0.907 = 90.7%.