Step-by-step explanation:
sina = -√3/2




=±1/2
Since, π<a<3π/2
cos a = -1/2


OptionB
Answer:
x=27
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x−5)=3x+7
Step 1: Simplify both sides of the equation.
4(x−5)=3x+7
(4)(x)+(4)(−5)=3x+7(Distribute)
4x+−20=3x+7
4x−20=3x+7
Step 2: Subtract 3x from both sides.
4x−20−3x=3x+7−3x
x−20=7
Step 3: Add 20 to both sides.
x−20+20=7+20
x=27
Answer:
x=27
Answer:
12.25
Step-by-step explanation:
(1): "36.75" was replaced by "(3675/100)".
2 Simplify 147/4
3 147 /4 divided by 3
.....
49/4 which equal 12.25000
Answer:
(a)
(b)P'(5)=-($4.54) Thousand
(c)P'(11)=-($2.10) Thousand
(d)The fifth Month
Step-by-step explanation:
Given the monthly profit model:

(a)We want to derive a model that gives the Marginal Profit, P' of the book.
We differentiate
using quotient rule.

Simplifying

We have derived a model for the marginal profit.
(b) After 5 months, at t=5
Marginal Profit=P'(5)


=-($4.54) Thousand of dollars
(c)Marginal Profit 11 Months after book release

=-($2.10) Thousand of dollars
(d) Since the marginal profit at t=5 is negative, after the 5th Month, the profit starts to experience a steady decrease.
Answer:
The required probability is 0.55404.
Step-by-step explanation:
Consider the provided information.
The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.
Average error for 7 pages booklet and 5 pages booklet series is:
λ = 0.2×7 + 0.3×5 = 2.9
According to Poisson distribution: 
Where
is average number of events.
The probability of more than 2 typographical errors in the two booklets in total is:

Substitute the respective values in the above formula.



Hence, the required probability is 0.55404.