Answer:
Area under the normal curve: 0.6915.
69.15% probability of putting less than 24 ounces in a cup.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
You have been asked to calculate the probability of putting less than 24 ounces in a cup.
pvalue of Z when X = 24. So
has a pvalue of 0.6915
Area under the normal curve: 0.6915.
69.15% probability of putting less than 24 ounces in a cup.
Answer:
The value of mEFD = 214°
Step-by-step explanation:
Given that the measure of the degree of one of the central angles of an inner circle is 146°.
We know that sum of all central angles is 360°.
In other words, in our case
mEFD + 146° = 360°
Thus, we can determine the mEFD using the equation
mEFD + 146° = 360°
so subtracting 146° to both sides
mEFD + 146° - 146° = 360° - 146°
mEFD = 214°
Therefore, the value of mEFD = 214°
Answer:
pg. 1
teresa: use difference of 2 squares
rico: 6561 is not a perfect square
pg. 2
i think teresa is right and that 6561 can be broken down
problem 1: (x^4-81)^2=(x^2-9)^4=(x-3)^8
problem 2: a. false b. rico
pg. 3
problem 3: a. -1(3x+5)^2 b. teresa is right because it cant still be a perfect square trinomial while having a negative first term.
problem 4: a. (y+3)^2 b. teresa
pg. 4
problem 5: a. (x^n+y^n)(x^n-y^n) b. teresa
teresa got more right, rico is buying pizza
Step-by-step explanation:
apex
Answer:
Building is 56.58 feet long.
Step-by-step explanation:
Consider the provided information.
An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads.
When the photograph is taken, the angle of elevation of the sun is 30°.
By comparing the shadow cast by the building in question to the shadows of other objects of known size in the photograph, scientists determine that the shadow of the building in question is 98 feet long.
As we know: 
The value of tan 30 degrees is 
Hence, Building is 56.58 feet long.
Answer:
(x - 2)² + (y + 3)² = 9
Step-by-step explanation:
(x - h)² + (y - k)² = r²
(x - 2)² + (y - (-3))² = 3²
(x - 2)² + (y + 3)² = 9
