Answer:
P(A or B) = P(A) + P(B) - P(A and B)
0.87 = 0.8 + P(B) - 0.23
0.87 = P(B) + 0.57
P(B) + 0.57 = 0.87
P(B) + 0.57-0.57 = 0.87-0.57
P(B) = 0.3
Answer: 0.3
What’s the question on this??? I’m confused. Please lmk so I can help you get the right answers :)
Answer:
279.62 feet
Step-by-step explanation:
We have a rectangle with 5ft x 305ft sides representing the area between your device and the base of the courthouse.
In addition to this we have an angle of 42 °
The height would come being the length of the opposite side of this triangle.
We know that:
tan (° A) = opposite / adjacent
Adjacent side is 305 ft and ° A is 42 °
Solved for opposite:
Opposite = adjacent * tan (° A)
Opposite = 305 * tan (42) = 274.62 feet
We must add 5 feet to this result and we are left with:
274.62 + 5 = 279.62
It means that the height is 279.62 feet
A) Mean: to find the mean, you must add up all the values multiplied to their number of frequency and divide it by the total number of frequency as shown below
(20 x 3) + (30 x 5) + (40 x 7) + (50 x 4) + (60 x 2) = 810
now dividing 810 by the sum of frequency: 810/21 = 38.6
Therefore, mean = 38.6
B) Range: it is the difference between the largest and the smallest value in the given data set, to find range simply subtract the smallest number of age from the biggest one
60 – 20 = 40
C) Mode: mode is the number that has the largest frequency so in this data set it will be 40
D) Median: it is the middle value of the given data set. To find median, the values must be in an in an increasing numerical order, here our values are already in order. We have 5 values so middle value will be (5+1= 6, 6/2 = 3rd value)
Here, 3rd value is 40 so it is the median.
E) Variance: to find variance, subtract the mean (38.6) from each value of age and square it, then add all these values and divide them by n-1 where n is the number of data points.
(20 – 38.6)^2 = 345.96
(30 – 38.6)^2 = 73.96
(40 – 38.6)^2 = 1.96
(50 – 38.6)^2 = 129.96
(60 – 38.6)^2 = 457.96
Adding the above values, we get 1009.8
Divide this value by n-1 (i.e. 5-1 = 4)
10009.8/4 = 252.45
F) Standard deviation: Just apply square root to the value of variance to find standard deviation
√252.45 = 15.889
Answer:
The expression is (x-6)
Step-by-step explanation:
Let
x ----> the length of rectangle
y ----> the width of rectangle
we know that
The width is equal to the length minus 6 units
so
y=x-6
therefore
The expression is (x-6)