Answer:
Confidence interval: (21.9, 32.9).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 26 - 1 = 25
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.485
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 27.4 - 5.5 = 21.9 hours
The upper end of the interval is the sample mean added to M. So it is 27.4 + 5.5 = 32.9 hours
Confidence interval: (21.9, 32.9).
Note:
The area of a circle with radius r is πr².
An entire circle has a central angle of 360°.
For the sector with radius = (3+4) = 7cm and a central angle of 120°, the area is
For the sector with radius = 3 cm and a central angle of 120°. the area is
The area of the shaded sector (see the figure) is
Answer:
Step-by-step explanation:
step 1. properties of equality have an "=" in the equation.
step 2. properties of inequality have a <, <=, >=, or a >.
Answer in fraction form is 1/3
Answer in decimal form is 0.3333
Pick one answer only.
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Explanation:
The sample space is the set of all possible outcomes. In this case, the outcomes consist of values between 1 and 6
S = sample space
S = {1,2,3,4,5,6}
There are 6 items here. Let B = 6.
We want to roll a number greater than 4, so the event space we're after is
E = {5,6}
which consists of 2 items. Let A = 2.
The probability we want is A/B = 2/6 = 1/3 = 0.3333
So if you go with the fraction option, then you'll type in 1/3
If you go with the decimal option, then you'll type in 0.3333
Answer:Bill
Step-by-step explanation:
Because Bill scored to the nearest 100
