Answer:
would multiply everything by the common denominator of 4
-3/4m - 1/2 = 2 + 1/4m....multiply everything by 4 and u get :
-3m - 2 = 8 + m
that will get rid of the fractions....but u could multiply by -4 ...giving u :
3m + 2 = -8 - m
Step-by-step explanation:
Answer:
0.4077
Step-by-step explanation:
It's important to use parenthesis to avoid confusion.
9^(2x) = 6
Use exponent properties:
(9^2)^x = 6
81^x = 6
Take log of both sides
ln(81^x) = ln(6)
Use log properties:
x ln(81) = ln(6)
Solve for x:
x = ln(6) / ln(81)
x ≈ 0.4077
Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.The expressions which are equivalent to the given expression are,
Given information-
The expression given in the problem is,

<h3>Equivalent expression-</h3>
Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.
For given expression,

As the above function is the function of <em>x. </em>Thus it can be written as,

<h3>Logarithm power rule</h3>
Logarithm power rule states that the exponent of the logarithm function can transfers to front of the logarithm and vice versa. Thus,

Now the value of
is equal to the zero. Thus,

Hence the expressions which are equivalent to the given expression are,
Learn more about the equivalent expression here;
brainly.com/question/10628562
Answer:
a) The probability that the airline will lose no bags next monday is 0.1108
b) The probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227
c) I would recommend taking a Poisson model with mean 4.4 instead of a Poisson model with mean 2.2
Step-by-step explanation:
The probability mass function of X, for which we denote the amount of bags lost next monday is given by this formula

a)

The probability that the airline will lose no bags next monday is 0.1108.
b) Note that
. And

Therefore, the probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227.
c) If the double of flights are taken, then you at least should expect to loose a similar proportion in bags, because you will have more chances for a bag to be lost. WIth this in mind, we can correctly think that the average amount of bags that will be lost each day will double. Thus, i would double the mean of the Poisson model, in other words, i would take a Poisson model with mean 4.4, instead of 2.2.
Rectangle:
A=l(w)
A=12(6)
A=72cm^2
Semicircle:
r=6/2
r=3
A=(3.14(r)^2(1/2)
A=3.14(3)^2(1/2)
A=3.14(9)(1/2)
A=14.13cm^2
A=14.1cm^2
Total area: 72cm^2 + 14.1cm^2 = 86.1cm^2