All categories

4 years ago

U = b - ak, solve for a

Mathematics

2 answers:

Lerok [7]4 years ago

5 0

Answer: $a = -\frac{u-b}{k}$

kvv77 [185]4 years ago

4 0

Hey there!☺

$Answer:\boxed{a=\frac{b-u}{k}}$

$Explanation:$

$u=b-ak$

In our first step, we will flip the equation:

$-ak+b=u$

Now add -b to both sides:

$-ak+b+-b=u+-b\\-ak=-b+u$

In our last step, we will divide both sides by -k:

$\frac{-ak}{-k}=\frac{-b+u}{-k}\\a=\frac{b-u}{k}$

a=b-u/k is your answer.

Hope this helps!☺

You might be interested in

The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol

mamaluj [8]

Answer:

a) $E(A)=\frac{0+50}{2}=25 min$

$Sd(A) =\sqrt{208.3333 min^2}=14.43 min$

b) $P(A>25) = 1-P(A\leq 25)=1-\frac{25-0}{50-0}= 1-0.5 = 0.5$

Step-by-step explanation:

Part a

Let A the random variable that represent "The arrival time (minutes) for a daily flight from Boston to New York ". And we know that the distribution of A is given by:

$A\sim Uniform(a=0 ,b=50)$

We select our starting point a=0 representing 9:05 AM and the amount of minutes between 9:05 am to 9:55 am are 50 ans for this reason b =50

For ths uniform distribution the expected value is given by $E(X) =\frac{a+b}{2}$ where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

$E(A)=\frac{0+50}{2}=25 min$

And the variance is given by:

$Var(A)= \frac{(b-a)^2}{12}=\frac{(50-0)^2}{12}=208.3333 min^2$

And the standard deviation by definition is just the square root of the variance:

$Sd(A) =\sqrt{208.3333 min^2}=14.43 min$

Part b

If we convert 9:30 AM to our scale we know that we have 25 minutes between 9:05 AM and 9:30 AM.

For this case we want to find this probability: $P(A>25)$

And we can find this probability using the complement rule like this:

$P(A>25) = 1-P(A\leq 25)$

And we can use the cumulative distribution function given by:

$F(A) = \frac{A-a}{b-a}$

And we got:

$P(A>25) = 1-P(A\leq 25)=1-\frac{25-0}{50-0}= 1-0.5 = 0.5$

5 0

3 years ago

amin is using a hose to fill his new pool for the first time. he starts the hose at 10 pm and leaves it running all night. at 6

erik [133]

Answer: 8 A.M.

Step-by-step explanation:

I dunno.

8 0

4 years ago

Paula has her own business making cakes for

djverab [1.8K]

Answer:

Since Paula has her own business of making cakes for special occasions, and the total price (P) of one of Paula's cakes is represented by the equation P = 0.75S +10, where S is the number of people the cake serves, for determine what does the 0.75 represent in this situation and what does the 10 represent in this equation, the following mathematical reasoning must be carried out:

P is the price of the cake

S is the number of servings

Therefore, 0.75 is the value of each serving, which can be variable (the number of servings can vary)

In turn, 10 is the fixed cost of each cake.

4 0

3 years ago

Which option is an example of a survey?

Mars2501 [29]

Answer:

Having customers fill out a questionnaire about their favorite brand of toothpaste.

5 0

3 years ago

7. Use the table of values of trigonometric

svetoff [14.1K]

Answer:

1+sq root 3/2 or 1+1.732/2

Step-by-step explanation:

sin 30°=1/2

cos 30°= under sq. root 3/2

sq root 3= 1.732

6 0

4 years ago