Answer:
0.227
Step-by-step explanation:
Given that X is binomial with n=7 and p =0.5
To find the probability for P(X<3)
i.e. we have to find prob as =P(x=0,1,2)
=P(X=0)+P(X=1)+P(x=2)
P(X=r)=7Cr(0.5)^7
Using binomial table we find prob
P(X<3)=0.2265
Round off this to 3 decimals as
0.227
Hence answer is 0.227
Answer:
b = 4
Step-by-step explanation:
The given expression is
Cos (11b + 2) = Sin (12b - 4)
Since, Sin(θ) = Cos(90 - θ)
Therefore, Cos (11b + 2) = Cos [90 - (12b - 4)]
Where 0 < b ≤ 90°
11b + 2 = 90 - (12b - 4)
11b + 2 = 94 - 12b
11b + 12b + 2 = 94 - 12b + 12b
11b + 12b + 2 - 2 = 94 - 2
23b = 92
b = 4
Therefore, b = 4 will be the answer.
You need to draw the triangle DEF with a right angle at E. Angle D = 40 and DE = 100 m. Once you have marked up your triangle, you can use cosine to find DF.
Answer:
The difference of the profit of two companies is $ 417
Step-by-step explanation:
Given as :
The company A loss amount in January = $ 255
The company B profit amount in January = $ 162
Let the difference between there profits = x
So, x = company B profit - ( company A profit)
I.e x = company B profit - ( - company A loss)
Or, x = $ 255 + $162
∴ x = $ 417
Hence The difference of the profit of two companies is $ 417 . Answer
Step 1 : Simplify both sides
-5(6a+21)=-15
(-5)(6a)+(-5)(21)=-15
-30a-105=-15
Step 2 : Add 105 to both sides
-30a-105+105=-15+105
-30a=90
Step 3 : Divide both sides by -30
-30a=90
—————
-30 -30
a = -3