27. A manufacturer claims its Brand A battery lasts longer than its competitor's Brand B battery. Nine batteries of
1 answer:
According to the desired test, the test that should be conducted is:
- (B) A one-sided, two-sample t-test
- At the null hypothesis, it is tested if Brand A batteries do not last longer than Brand B batteries, that is, the result of the subtraction is of at most 0:
- At the alternative hypothesis, it is tested if it is greater, that is:
The factors determining the test used are as follows:
- We can find the <u>standard deviation for the sample</u>, hence a t-test is used.
- There are two samples, the lifetimes for batteries A and for batteries B, hence, a two-sample test is used.
- We are testing if one mean is greater than another, and more than/less than tests are one-sided.
- Hence, option B is correct.
You can learn more about test hypothesis at brainly.com/question/13873630
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Answer:
0 to StartFraction pi Over 2
Step-by-step explanation:
we know that
If the arc on a circle measures 85 degrees, then the measure of the central angle is also 85 degrees too
so
The central angle in degrees is within the range
Convert to radians
Remember that
therefore
the range in radians is
0 to StartFraction pi Over 2
In order to solve this problem, you need to use a geometric series:
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5
Therefore,
<span>
= 219783.60 $
Luke's total earnings in five years are <span>219783.60 $.</span>
</span>
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5
Therefore,
<span>
= 219783.60 $
Luke's total earnings in five years are <span>219783.60 $.</span>
</span>
<h2>Hello!</h2>
The answer is:
The correct option is:
D. 40 feet.
<h2>Why?</h2>To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:
Where,
alpha is the given angle, 34°
Adjacent is the distance from A to B, which is equal to 60 feet.
Opposite is the distance from A to C which is also equal to the width of the river.
So, substituting and calculating we have:
Hence, we have that the correct option is:
D. 40 feet.
Have a nice day!