Answer: M=32°
Step-by-step explanation:
The identity sin²(x)+cos²(x)=1 can help us figure out the value of M. You can see that the problem's format fits exactly the identity. Since x is the same in the identity, we know that M=32°.
Answer:
If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams
Step-by-step explanation:
Mean = 
Standard deviation =
We are supposed to find If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams i.e.P(X>x)=0.02
The mean weight is in the highest 2%, you want to go to a z-table and find the z-score that where the area to the left of the curve is closest to 0.98.
n = 27
Refer the z -table
P(Z>x)=2.06
So, If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams
Answer:
3/10
Step-by-step explanation:
Total number of employees = 7 + 9 = 16
Probability of a man being chosen first to be promoted = 9/16
Probability of the second choice is still a man for promotion = 8/15
Why 8/15?
The number of men left who are eligible for promotion after the 1st man was chosen for promotion is 9 - 1 = 8
The total number of people left after the 1st person is chosen for promotion that are eligible for promotion is 16 - 1 = 15
Hence Probability of choosing 2 men for promotion = 9/16 x 8/15 = 3/10
Answer:
g(f(x)) = 1x² + 1
Step-by-step explanation:
We are given:
f(x) = x² - 1
g(x) = x + 2
And we want to find g(f(x)).
To do this, we substitute f(x) as x in x+2 (the expression that is equal to g(x)), as g(f(x)) is saying that f(x) is the value of x in g(x).
So, this will be:
g(f(x)) = x² - 1 + 2
Simplify
g(f(x)) = x² + 1
In your system, place 1 in front of x² - this is the coefficient of x², and also 1 after that - this is a constant.
12 pigs×4 legs=48 legs
18 chickens×2 legs=36 legs
48 legs+36 legs=84 legs
12 are pigs and 18 are chickens
