I used the cross product method
5x = 2.4 •3
5x=7.2
7.2divided by 5
1.44 miles in 3 hours
Hope I helped
Answer: length is 10 feet, width is 6.5 feet
Step-by-step explanation:
H(x) = 4x² - 8x - 60
0 = 4x² - 8x - 60
0 = 4(x²) - 4(2x) - 4(15)
0 = 4(x² - 2x - 15)
4 4
0 = x² - 2x - 15
0 = x² - 5x + 3x - 15
0 = x(x) - x(5) + 3(x) - 3(5)
0 = x(x - 5) + 3(x - 5)
0 = (x + 3)(x - 5)
0 = x + 3 or 0 = x - 5
- 3 - 3 + 5 + 5
3 = x or 5 = x
Answer:
P(x ≥ 30) = 0.3859
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:

This probability is going to be 1 subtracted by the pvalue of Z when X = 30. So



has a pvalue of 0.6141
1 - 0.6141 = 0.3859
So
P(x ≥ 30) = 0.3859