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Slav-nsk [51]
3 years ago
13

PLEASE HELP 20 POINTS!

Mathematics
1 answer:
Natasha2012 [34]3 years ago
8 0
Sure you do.

What is the x-intercept ? It's the point where the graph crosses the x-axis.
But y=0 at every point on the x-axis !  So the x-intercept is the point where

5x + 3(0) = k
5x = k
<u>x = 0.2 k</u>


Similarly ... What is the y-intercept ? It's the point where the graph crosses the
y-axis. But x=0 at every point on the y-axis !  So the y-intercept is the point where

5(0) + 3y = k
3y = k
<u>y = k/3</u>

The sum of the x- and y-intercepts is 32.5 .
0.2k + k/3 = 32.5
Multiply each side by 5 :
k + 5k/3 = 162.5
Multiply each side by 3 :
3k + 5k = 487.5
8k = 487.5
Divide each side by 8 :
<u>k = 60.9375 </u>

The x-intercept is (0.2k, 0) = the point (12.1875, 0) .

The y-intercept is (0, k/3) = the point (0, 20.3125) .

Those are the two points. Now it wants you to find the distance between them.
Do you remember how to find the distance between 2 points ?

Find the (difference of their x-values) and square it.
Find the (difference of their y-values) and square it.
Add the two squares together.
Take the square root of the sum.
That's the distance between the points.

(12.1875)² + (20.3125)² = the square of the distance.

If you don't get 23.688 for the distance, then check your arithmetic.

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Customer arrivals at a bank are random and independent; the probability of an arrival in any one-minute period is the same as th
IgorLugansk [536]

Answer:

0.2240418 ; 0.57681

Step-by-step explanation:

Given the information above :

A) What is the probability of exactly three arrivals in a one-minute period?

Using poisson probability function :

p(x ; m) = [(m^x) * (e^-m)] / x!

Here, m = mean = 3, x = 3

P(3 ; 3) = [(3^3) * (e^-3)] / 3!

P(3;3) = [27 * 0.0497870] / 6

= 1.3442508 / 6

= 0.2240418

B) What is the probability of at least three arrivals in a one-minute period?

Atleast 3 arrivals

X >= 3 = 1 - [p(0) + p(1) + p(2)]

P(0 ; 3) = [(3^0) * (e^-3)] / 0! = (1 * 0.0497870) / 1 = 0.0497870

P(1 ; 3) = [(3^1) * (e^-3)] / 1! = (3 * 0.0497870) / 1 = 0.1493612

P(2 ; 3) = [(3^2) * (e^-3)] / 2! = (9 * 0.0497870) / 2 = 0.2240418

1 - [0.0497870 + 0.1493612 + 0.2240418]

1 - 0.42319 = 0.57681

7 0
2 years ago
The minimum weekly commission earned to be a STAR sales person is $9000. If Sandra receives a 12% commission on the sale of all
katovenus [111]

Answer:

numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}

Step-by-step explanation:

Hello, I can help you with this

Step 1

define

The minimum weekly commission earned to be a STAR sales person is $9000, let's name this value as M

if Sandra receives a 12% commisions of the sale of all cars, then that 12% must be equal or higher than 9000 in order to become a STAR sales person

Step 2

using a rule of three find the 100%

if

12% ⇔ $9000

then

100% ⇔x

the ratio is

\frac{12}{9000}=\frac{100}{x}\\

Now, solve for x

\frac{12}{9000}=\frac{100}{x}\\\\\frac{12*x}{9000}=\frac{100}\\\\{12x}=9000*100\\\\12x=900000\\x=\frac{900000}{12}\\ x=75000\\

so, Sandra must sell a minimun of $75000

Now, to give a response, we need to asume a only price for every car(p).

now, in matemathical terms.

the minimun number of cars she must to sell is

minum number of cars sandra has to sell to become a STAR sales person

is \frac{75000}{price\ of\ the\ car} \\

\frac{75000}{price\ of\ the\ car} \\

now, price of the car* number of the car = 75000

where

numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}

Have a nice day

6 0
3 years ago
Valentina has a tray where she keeps all of her important papers. The tray is in the shape of a rectangular prism with no top.
Alchen [17]
The answer is 300 as 2.5x10x12=300
6 0
3 years ago
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Casey cuts a 2-pound melon into two pieces and puts each piece on a plate.
Dmitry_Shevchenko [17]

Answer:

Yes, because each plate has 1 part of the melon.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Y raise to power 1/2 =3​
marta [7]

Answer:

y = root 9

Step-by-step explanation:

1/2 is equivalent to the root of something.

The root of y equals 3.

Therefore, y would be equal to root 9, as root 9 is equivalent to 3.

Hope this helps :)

6 0
2 years ago
Read 2 more answers
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