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2 years ago

I need help with this you are helping me graduate! I would appreciate help

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

4 0

Answer:

y=250x

Step-by-step explanation:

every 2 minutes 500 gallons of water flow from a fountain,

x represents how much gallons of water flow from the fountain each minute:

500/2=250

thus, the equation is y=250x

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Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe

solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for $p$ such that $1000p(1-p)$ is maximized. Once we have that $p$ , we can easily find the answer to part b.

Finding the value that maximizes $1000p(1-p)$ is the same as finding the value that maximizes $p(1-p)$ , just on a smaller scale. So, we really want to maximize $p(1-p)$ . To do this, we will do a trick called completing the square.

$p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4$ .

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of $p$ such that the inner part of the square term is equal to $0$ .

$p-1/2=0\\p=1/2$ .

So, the answer to part a is $\boxed{1/2}$ .

We can then plug $1/2$ into the equation for p to find the answer to part b.

$1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250$ .

So, the answer to part b is $\boxed{250}$ .

And we're done!

3 0

2 years ago

write an equation of the line passing through point p that is perpendicular to the given line p(6,10),y=-3x+13

patriot [66]

Answer:

y = $\frac{1}{3}$ x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - 3x + 13 is in this form

with m = - 3

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-3}$ = $\frac{1}{3}$

y = $\frac{1}{3}$ x + c ← is the partial equation

To find c substitute (6, 10) into the partial equation

10 = 2 + c ⇒ c = 10 - 2 = 8

y = $\frac{1}{3}$ x + 8 ← equation of line

6 0

2 years ago

In a football league, 4 coaches are needed for every 38 players. If 84 players sign up for softball, how many coaches are needed

pickupchik [31]

9

8.842 but the answer would have to be rounded because you can’t have .842 coaches... the answers 9!!!!

6 0

2 years ago

The measures of the angles of a triangle are in the extended ratio 2:2:8. What is the measure of the smallest angle?

zepelin [54]

We know that the ratio is;

$2:2:8$

The angles in a triangle add up to give 180°

We can think of there being twelve "parts" that add up to 180°

$2x + 2x + 8x = 180 \\ \\ 12x = 180 \\ \\ x = \frac{180}{12} \\ \\ x = 15$

So our ratio is;

$2*15 : 2*15 : 8*15 \\ \\ = 30 : 30 :120$

So the smallest angle is 30°

7 0

3 years ago

Read 2 more answers

The Menswear Department of Nancy‘s Department Store had sales of $191,000, cost of goods sold of $134,000, indirect expenses of

IRISSAK [1]

The contribution of overhead as percentage of sales will be found as follows:
Overheads=134000+13550+27800=$175350
Sales=$191000
thus the percentage of overheads will be:
overheads/sales
=175350/191000
=0.91806
=91.806%

4 0

2 years ago