Answer:
25.5
Step-by-step explanation:
Using SOH CAH TOA, you can see that x is the hypotenuse, and 24 is adjacent to the angle 20, so you will need to use CAH.
CAH is cos=adjacent/hypotenuse. Substituting our values in means cos(20) will be equal to 24/x. By cross multiplying, you receive cos(20) x =24. To find x, divide 24 by cos(20) to get 25.5 to the nearest tenth.
B.0 because integers cannot be decimals.
f(-4) = 3(-4)^2 - 2(-4)
f(-4) = 3(16) + 8
f(-4) = 48 + 8
f(-4) = 56
I think the answer is 56 :)
Please give BRAINIEST :)
Answer: a. 8% ; b. Not independent; c. See tree diagram; d. Yes
Step-by-step explanation:
a. Let F = Females
M = Males
C = Those that attend college
P(F) = 80% = 0.8
P(M) = 20% = 0.2
P(C/F) = 90% = 0.9
P(C/M) = 78% = 0.78
If 90% of the females go to college, it means that 10% don't go to college.
We then use the multiplication rule and we'll get:
= 80% × 10%
= 0.8 × 0.1
= 0.08
= 8%
b. An independent event is one that the occurence of one event doesn't affect the other event from happening. However, this is not independent as the occurence of the events affect each other.
c. See attachment
The joint probability on the tree diagram will be:
= 0.72 + 0.08 + 0.156 + 0.044
= 1.00
Answer:
Step-by-step explanation:
Given that a contractor records the areas, in square feet, of several houses in a neighborhood to determine data about the neighborhood.
Let X1, X2,...Xn be the data set
We find mean of this by the formula sum/n
Mean =
Now variance is calculated as sum of squares of deviations of each entry from this mean.
Var(x) =
Standard deviation = square root of variance
Thus first mean, then variance then sd deviation is calculated.