Write an equation of the line passing through point P that is perpendicular to the given line. P(4,−3), y=−x−5

Aiden is 27 inches tall. He is 3/8 as tall as his father. How y’all is his father?

Paul [167]

27 inches ......... 3/8

x inches .............8/8

<h3>x = (27×8/8)/(3/8) = 27×8/3 = 216/3 = 72 inches (father)</h3>

7 0

3 years ago

You are a waterman daily plying the waters of Chesapeake Bay for blue crabs (Callinectes sapidus), the best-tasting crustacean i

notsponge [240]

The question given is incomplete, I googled and got the complete question as below:

You are a waterman daily plying the waters of Chesapeake Bay for blue crabs (Callinectes sapidus), the best-tasting crustacean in the world. Crab populations and commercial catch rates are highly variable, but the fishery is under constant pressure from over-fishing, habitat destruction, and pollution. These days, you tend to pull crab pots containing an average of 2.4 crabs per pot. Given that you are economically challenged as most commercial fishermen are, and have an expensive boat to pay off, you’re always interested in projecting your income for the day. At the end of one day, you calculate that you’ll need 7 legal-sized crabs in your last pot in order to break even for the day. Use these data to address the following questions. Show your work.

a. What is the probability that your last pot will have the necessary 7 crabs?

b. What is the probability that your last pot will be empty?

Answer:

a. Probability = 0.0083

b. Probability = 0.0907

Step-by-step explanation:

This is Poisson distribution with parameter λ=2.4

a)

The probability that your last pot will have the necessary 7 crabs is calculated below:

P(X=7)= {e-2.4*2.47/7!} = 0.0083

b)

The probability that your last pot will be empty is calculated as:

P(X=0)= {e-2.4*2.40/0!} = 0.0907

8 0

3 years ago

Help please? match each system of linear equation with the correct numbers of solutions

Ksenya-84 [330]

Answer:

Step-by-step explanation:

First system: no solution, since the two lines are parallel; they never cross.

Second system: one solution

Third system: infinitely many solutions, since the second equation is a multiple of the first

4 0

3 years ago

Jane and sali cycled along the same 63 km route.

Alina [70]

Answer:

<em>Sali's speed was 18.75 km/h.</em>

Step-by-step explanation:

Jane took 3.5 hours to cycle the 63 km.

As, $Speed= \frac{Distance}{Time}$ , so the speed of Jane will be: $\frac{63}{3.5} km/h = 18 km/h$

Suppose, the speed of Sali is $x$ km/h

Sali caught up with Jane when they had both cycled 30 km.

So, <u>the time required for Jane to cycle 30 km</u> $= \frac{30}{18}=\frac{5}{3} hours$ and <u>the time required for Sali to cycle 30 km</u> $=\frac{30}{x} hours$

Given that, Sali started to cycle 4 minutes or $(\frac{4}{60}) or (\frac{1}{15}) hours$ after Jane started to cycle. So, the equation will be.......

$\frac{5}{3}-\frac{30}{x}= \frac{1}{15}\\ \\ \frac{30}{x}= \frac{5}{3}-\frac{1}{15}\\ \\ \frac{30}{x}= \frac{24}{15}\\ \\ 24x=450\\ \\ x= \frac{450}{24}= 18.75$