Answer:
180
Step-by-step explanation:
A=1/2*b*h
A= 1/2*8*25
180
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2 rectangle shaped
1) Length = 160 mi ; Width = 40 mi
2) Length = 440 mi - 160 mi ; Width = 240 mi - 70 mi
1 triangle shape
1) base = 70 mi ; height = 440 mi - 160 mi
Area Rectangle 1 = 160 mi * 40 mi = 6,400 mi²
Area Rectangle 2 = 280 mi * 170 mi = 47,600 mi²
Area Triangle 1 = ((440 mi - 160 mi) * 70mi)/2 = (280mi * 70mi)/2 = 9,800 mi²
Total Area = 6,400 mi² + 47,600 mi² + 9,800 mi² = 63,800 mi²
Answer:
0.2379
Step-by-step explanation:
We have the system of equations:
3x + 5y = 10
x + 5y = 2 => x = 2 - 5y
__________________
3*(2 - 5y) + 5y = 10
6 - 15y + 5y = 10
-4 = 10y
y = -4/10 = -2/5 => x = 2 - 5*y = 2 - 5*(-2/5) = 2 + 2 = 4
The correct answer is x = 4.
Answer:
c. 0.136.
Step-by-step explanation:
Problems of normally distributed samples can be 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 proportion of infants with birth weights between 125 oz and 140 oz is
This is the pvalue of Z when X = 140 subtracted by the pvalue of Z when X = 125. So
X = 140
has a pvalue of 0.977
X = 125
has a pvalue of 0.841
0.9772 - 0.841 = 0.136
So the correct answer is:
c. 0.136.