Find the missing side lengths
1 answer:
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Answer:
c =
Step-by-step explanation:
Given
R=
Clear the radical by squaring both sides
R² = b² - 4ac ( subtract b² from both sides )
R² - b² = - 4ac ( multiply all terms by - 1 )
b² - R² = 4ac ( divide both sides by 4a )
= c
ANSWER
Find out the how many 3, 4, and 5 point questions could there be.
To proof
Let us assume that the 3 points based question be = x
Let us assume that the 4 points based question be = y
Let us assume that the 5 points based question be = z
As given
An instructor wants to write a test with 25 questions
than the equation become in the form
x + y + z = 25
he quiz to be worth a total of 100 points.
than the equation is becomes
3x + 4y + 5z =100
As given
He wants the number of 3-point questions to be 4 less than the number of 4-point questions
x = y -4
Than the three equation are
x + y + z = 25 ,3x + 4y + 5z =100 and x = y -4
put x = y -4 in the x + y + z = 25 ,3x + 4y + 5z =100
than
2y + z = 29, 7y +5z= 112
multiply 2y + z = 29 by 5 and subtracted 7y +5z= 112
10 y -7y + 5y -5y = 145 -112
3y = 33
y =11
put in the x = y -4
x = 11-4
x= 7
put the value of x ,y in the x + y + z = 25
7 + 11 +z =25
18 +z = 25
z = 25 -18
z=7
therefore
numbers of the 3 point question be = 7
numbers of the 4 point question be = 11
numbers of the 5 point question be = 7
Hence proved
Answer:
Due to the higher z-score, he did better on the SAT.
Step-by-step explanation:
When the distribution is normal, we use 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.
Determine which test the student did better on.
He did better on whichever test he had the higher z-score.
SAT:
Scored 1070, so
SAT scores have a mean of 950 and a standard deviation of 155. This means that .
ACT:
Scored 25, so
ACT scores have a mean of 22 and a standard deviation of 4. This means that
Due to the higher z-score, he did better on the SAT.