The solutions would be +0.37 and -0.37.
When completing the square, we take 1/2 of the value of b (in this case 5). 5/2=2.5. We then square this number: 2.5²=6.25. We add this value to both sides of the equation:
x²+5x+6.25 = 2+6.25
(x+2.5)² = 8.25
Take the square root of both sides:
√(x+2.5)² = √8.25
x + 2.5 = 2.87
Subtract 2.5 from both sides:"
x+2.5-2.5 = 2.87-2.5
x = 0.37
We have to take the positive and negative values for solutions, however, since a square root has both positive and negative answers.
Answer:
22.29% probability that both of them scored above a 1520
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:

The first step to solve the question is find the probability that a student has of scoring above 1520, which is 1 subtracted by the pvalue of Z when X = 1520.
So



has a pvalue of 0.5279
1 - 0.5279 = 0.4721
Each students has a 0.4721 probability of scoring above 1520.
What is the probability that both of them scored above a 1520?
Each students has a 0.4721 probability of scoring above 1520. So

22.29% probability that both of them scored above a 1520
Answer:
The answer should be .25
Step-by-step explanation:
The answer should be .25 because:
- there are 4 places you can score and since you want it to land on 5 and there is only one 5 it counts as a 1
- the since there are 4 in total and you want to land on 1 you get 1/4 the number one standing for there only being one 5 and the 4 standing for the number of places to land on.
-then you convert the 1/4 into a decimal which makes .25
Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
we know that
Triangle ABC and ADE are congruent triangles by SSS Theorem postulate
therefore

Answer:
0
Step-by-step explanation:
Any number multiplied by zero is equal to zero. So if the product is zero, one factor must be zero. Since you already have a nonzero factor, the other must be zero.