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
50 meters, because if 4cm is 5 m, then it would be 5( 4cm, which equals 5m) multiplied by 10( 8cm÷4cm= 2. 2×5m= 10). So 5m × 10m = 50m. Hope this helps!
142.
You can get this by seeing what number you have to multiply 7 by to get as close to 1000 as you can. 7*142 = 994. Thus each one of the multiplications up to that point will give you a positive integer than can be divided by 7. <span />
Answer:
C) (-4, 2)
Step-by-step explanation:
It is easier to begin by putting the y equation back into the x equation so it would be rewritten as:
x= 2 (-2x - 6) - 8
Since you replace the y for the given y value
Distribute and you get
x = -4x -12 -8
Add 4x to both sides to get rid of it on the right and balance the equation
5x = -12-8 which is -20
5x = -20
divide by 5 gives you the value -4 for the x
Now simply put that value in for the y equation
y= (-2 (-4)) -6
y = 8 - 6
y = 2
Answer:
y-6=-3(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
y-6=-3(x-(-1))
y-6=-3(x+1)