Points A, B, and C are collinear. Find the value of x given AB = 3x, BC = 5x + 10. and AC = 74.
1 answer:
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<h2>Hello!</h2>
The answer is:
The correct option is the first option:
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:
Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:
Which is for this case:
As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:
We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at:
Then, now that we already know the value of "m" and "b", we can write the equation of the line:
So, the correct option is the first option:
Have a nice day!
Answer:
57.62% of players weigh between 180 and 220 pounds
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.
In this question, we have that:
What percent of players weigh between 180 and 220 pounds
We have to find the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 180.
X = 220
has a pvalue of 0.7881
X = 180
has a pvalue of 0.2119
0.7881 - 0.2119 = 0.5762
57.62% of players weigh between 180 and 220 pounds