Answer:
15.39% of the scores are less than 450
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:

What percentage of the scores are less than 450?
This is the pvalue of Z when X = 450. So



has a pvalue of 0.1539
15.39% of the scores are less than 450
D would be the correct answer.
Explanation
a^2+b^2=c^2
4^2+3^2=c^2
16+9
25 units
Answer:
B. 3x+5−4x=−(x+8)
Explanation:
3x+5−4x=−(x+8)
Step 1: Simplify both sides of the equation.
3x+5−4x=−(x+8)
3x+5+−4x=−x+−8
(3x+−4x)+(5)=−x−8
−x+5=−x−8
−x+5=−x−8
Step 2: Add x to both sides.
−x+5+x=−x−8+x
5=−8
Step 3: Subtract 5 from both sides.
5−5=−8−5
0=−13
So, there is no solution
Hope this Helps!
Answer:
B
Step-by-step explanation:
The options in the question and the number line are shown in the image attached.
From the options, it is clear that the difference between the temperatures at 7:00 a.M. and 1:00 p.M is;
Temperature at 7:00 a.M - Temperature at 1:00 p.M
We can see from the number line that the temperature at 7:00 a.M = -4
Temperature at 1:00 p.M = 16
difference between the two temperatures = ∣(-4) - 16∣ = 20