Answer:
Option D is correct.
Step-by-step explanation:
We need to find the pattern in the values as the exponents increase.
First value is 1/3
if we multiply 3 with 1/3 i.e. 1/3*3 we get 1
The next value is 1 in the table.
Now, if we multiply 1 with 3 i.e. 1*3 we get 3
The next value is 3 in the table.
Now, if we multiply 3 with 3 i.e 3*3 we get 9
So, the next value is 9 in the table.
So, if we multiply 3 with the previous value we get the next value in the table.
Hence Option D multiply the previous value by 3 is correct.
You are going to subtract.
<span>5/8 - 1/3 equals to 7/24
Hope this helps :)</span>
3x2-12x-36
9x-34
the answer is 9x - 34
Using a t-distribution calculator, the p-value is of 0.052, hence the range that contains the p-value is an interval between a number less than 0.05 and a number greater than 0.05.
<h3>How to find the p-value of the t-distribution?</h3>
To find the p-value of the t-distribution, three information, which are the inputs on the calculator are needed:
- The number of degrees of freedom.
In this problem, we have that:
- The test statistic is of t = -1.788.
- The number of degrees of freedom is of 10.
- We are testing if the mean is less than a value, hence we have a left-tailed test.
Hence, using a calculator, it is found that the p-value is of 0.052, hence the range that contains the p-value is an interval between a number less than 0.05 and a number greater than 0.05.
More can be learned about the t-distribution at brainly.com/question/13873630
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<span> Sketch this, assuming the Earth is a sphere with radius R, so a plane slice through the periscope, ship and center of the Earth is a circle of radius R. Draw the lines out from the center (O) of the circle to point A at the top of the periscope and point B at the top of the ship. so that line AB is tangent to the circle at point C. That makes triangles OAC and OBC right triangles, each having the right angle at C. </span>
<span>From the problem, the lengths OA = R+5, OC = R, and OB=R+50. Label the lengths AC = p and BC= q, then use Pythagoras: </span>
<span>R² + p² = (R + 5)² </span>
<span>R² + q² = (R + 50)² </span>
<span>Solve those: </span>
<span>p² = (R + 5)² - R² = 10R - 25 </span>
<span>p = √(10R + 25) </span>
<span>q² = (R + 50)² - R² = 100R + 2500 </span>
<span>q = √(100R + 2500) </span>
<span>Find a good value for the radius R (in ft. units!) and calculate. The distance from periscope top to ship top is (p + q) feet. Convert that to miles for your answer.</span>
