What is 3.276 x 10^9 in standard form?
1 answer:
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<u>Given</u>:
Given that JKL is a right triangle.
The measure of ∠L is 90°
The length of JL = 24, LK = 7, and KJ = 25.
We need to determine the value of sine of ∠K.
<u>Value of sin ∠K:</u>
The value of sin ∠K can be determine using the trigonometric ratio.
Thus, we have;
Substituting , the side opposite to angle K is JL and the hypotenuse is JK
Thus, we have;
Substituting JL = 24 and JK = 25, we get;
Simplifying, we get;
Thus, the measure of sine of ∠K is 73.74°
Answer:
Option D) significantly different from 24
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 24
Sample mean, = 25
Sample size, n = 16
Alpha, α = 0.05
Population standard deviation, σ = 2
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
The calculated z statistic does not lie in the acceptance region, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Thus, it can be concluded that the mean age is
Option D) significantly different from 24