Hey there! :)
Answer:
Step-by-step explanation:
Normally, in the parent function y = cos x, when X = π, Y = -1. However, in this graph, when X = 0π, Y = -1.
Therefore, there has been a horizontal shift of π to the left. The new equation would be:
Circumference = pie x diameter
188 = pie x d
188/pie = diameter
Subtract the mean from Jake's score:
520 - 500 = 20
Divide by the standard deviation:
20/60 = 0.33
Jake scored 0.33 standard deviation above the mean.
From the Z-table, 0.33 = 0.6293 = 62.93% of students scored below Jake.
Round to 63%
Answer:
Below.
Step-by-step explanation:
One method is by Trial and Improvement.
Example: Find the cube root of 20.
We know that cube root of 8 is 2 and cube root of 27 is 3 so the cube root of 20 is between 2 and 3.
So we could try 2.5:
2.5^3 = 6.25 * 2.5 - Use long multiplication to get 15.625.
So we need to go higher so we try 2.6*3:
= 17.576
2.7^3 = 19.683.
2.8^2 = 21.952.
The results are either side of 20 with 19.683 the closest.
So we can say that the cube root is 2.7 to the nearest tenth.
Further calculations are necessary to get an answer correct to the nearest hundredth.
This is a rather long process.......
Answer:
(600 mi) × (5280 ft/mi) × (12 in/ft)
Step-by-step explanation:
A "unit multiplier" is a multiplier that has a value of 1. That is, the numerator and denominator have the same value. For units conversion problems, the numerator quantity has the units you want, and the denominator quantity has the units you're trying to cancel.
You have units of miles. You know that ...
1 mile = 5280 feet
1 foot = 12 inches
You want to get to units of inches. With these conversion factors, you can do it in two steps (as the problem requests). The first conversion is from miles to feet using the unit multiplier (5280 feet)/(1 mile). This gives you a number of feet.
Then the second conversion is from feet to inches, so you use the one that lets you put inches in the numerator and feet in the denominator:
(12 inches)/(1 foot)
When you multiplie these all out, units of miles and feet cancel, and you're left with inches.
_____
With the above conversion factors, you can write unit mulipliers of either ...
(5280 ft)/(1 mi) . . . to convert to feet
or
(1 mi)/(5280 ft) . . . to convert to miles.
