To convert our number to scientific notation, we are going to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point, and then, we are going to multiply that number by a negative power of 10 equal to the number of times we moved the decimal point to the right:
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Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have </span>only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e.

.
So 0.000000016 expressed in scientific notation is 1.6x

, or in calculator notation 1.6E-8
We can conclude that the correct answers are <span>
1.6E-8 and </span><span>
1.6 × 10-8</span>
Answer:
24.6967 meters
Step-by-step explanation:
The roots of the tree go 6 and 5 over 12 meters below the ground level.
Now, 6 and 5 over 12 meters is equivalent to 6.4167 meters.
Again the top of the tree is 18.28 meters high from the ground level.
Therefore, the total height of the tree from the bottom of the root to the top is
(6.4167 +18.28) = 24.6967 meters (Answer)
There are 39 boys.
First you divide 4 into 52 because there are 3 boys for 4 girls.
Then you take the quotient, 13, and multiply by 3.
Answer: Choice E)
The amount of calories in fruit juice increases by 2.5 for every one gram of sugar. The calorie amount estimated by this model is 57 if there are zero grams of sugar.
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Explanation:
x = amount of sugar (in grams)
y = number of calories in the juice
ŷ = estimate of y, so its the estimate of calories in the juice
The regression equation rearranges to ŷ = 2.5x + 57
This is in the form y = mx+b where m = 2.5 is the slope and b = 57 is the y intercept.
The slope tells us what the rate of change is. Specifically, it tells us how much the amount of calories (y) is going up each time the amount of sugar (x) goes up. Each time x goes up by 1, y goes up by 2.5
The y intercept 57 is the starting or initial amount of calories. If you have 0 grams of sugar, the lowest amount of sugar possible, then you start off with 57 calories. We can see this by plugging x = 0 into ŷ = 2.5x + 57 (you should get ŷ = 57). Visually, the y intercept is where the line crosses the y axis.
All of these facts point to choice E as the final answer.