Answer:
21, 22, 23
Step-by-step explanation:
Construct equations representing each piece of information.
Three consecutive integers are three numbers in a row, for example, 1, 2 and 3.
Let's let
Integer 1 = X
Integer 2 = Y
Integer 3 = Z
X = (Y + Z) - 24
We also know that
Y = X + 1
and Z = X + 2
We can now sub this information into the first equation. We do this so that we can have only one variable in the equation.
X = (X+1) + (X+2) - 24
now solve for x,
X = 2X + 3 - 24
X = 2X - 21
-X = - 21
X = 21
So, the integers are 21, 22, 23
Answer:
22.86% probability that the persons IQ is between 110 and 130
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:
If one person is randomly selected what is the probability that the persons IQ is between 110 and 130
This is the pvalue of Z when X = 130 subtracted by the pvalue of Z when X = 110.
X = 130
has a pvalue of 0.9772
X = 110
has a pvalue of 0.7486
0.9772 - 0.7486 = 0.2286
22.86% probability that the persons IQ is between 110 and 130
Answer:
520.5
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
1) Look at the y-intercept. The line crosses the y-axis at (0,7)
Follow it down, it goes down two and over one to directly intersect the grid.
Rise over run = 2/1
2/1 = 2
However, the line is negative, as it's sloping down from the left to the right, making the slope -2
Answer:
c. 42 miles per day
Step-by-step explanation:
From the information given, you can use a rule of three to calculate the constant rate that Kendra swims per day given that she swims 126 miles in 3 days:
3 days → 126 miles
1 day → x
x=(1*126)/3=42 miles
According to this, the answer is that Kendra swims 42 miles per day.
