Answer:
The data item is 
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 400 and a standard deviation of 60.
This means that 
z=3
We have to find X when Z = 3. So
The data item is
Answer:
<u>x = ±2</u>
Step-by-step explanation:
Given :
<u>y = 64 - 16x²</u>
<u />
=========================================================
Add 16x² to each side (take y = 0) :
⇒ 0 + 16x² = 64 - 16x² + 16x²
⇒ 16x² = 64
=========================================================
Divide both sides by 16 :
⇒ 1/16 × 16x² = 1/16 × 64
⇒ x² = 4
=========================================================
Taking square root on both sides :
⇒ √(x²) = √4
⇒ <u>x = ±2</u>
First find the circumference of the circle.
Formula for this is πd.
Diameter is twice radius.
1.2 x 2 = 2.4
3.14 x 2.4 = 7.536
152º is about 42% of the circle.
Multiply 7.536 by .42.
It's approximately 3.2.
Hope this helps!
Answer:
David: 100-1.25x
Lauren: 75-.75x
Step-by-step explanation:
david can buy 80 days worth
lauren can buy 100 days worth
Hope this helps!
