1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KIM [24]
3 years ago
12

Please Help Me ASAP Picture Included You Get 15 Points

Mathematics
1 answer:
scZoUnD [109]3 years ago
7 0
I believe the answer is C

You might be interested in
A driver who drives at a speed of r mph for t hr will travel a distance d mi given by dequalsrt mi. How far will a driver travel
liubo4ka [24]

Answer:

At a speed of 57 mph for 8 hr a driver will travel 456 mi

Step-by-step explanation:

Here we have a summary of the letters for each variable:

Speed ---> r          (in units of mph)

Time ---> t            (in units of hr)

Distance ---> d     (in units of mi)

These three variables are related by the next formula:

d = rt

In the data they give to you: 57 mph and 8 hr, they are telling you the r and the t, respectively:

r = 57 mph

t = 8 hr

The only thing you have to do is replace the values:

d = rt    ---->     d = 57 mph x 8 hr

                        d = 456 mi

5 0
3 years ago
An urn contains n white balls andm black balls. (m and n are both positive numbers.) (a) If two balls are drawn without replacem
Genrish500 [490]

DISCLAIMER: Please let me rename b and w the number of black and white balls, for the sake of readability. You can switch the variable names at any time and the ideas won't change a bit!

<h2>(a)</h2>

Case 1: both balls are white.

At the beginning we have b+w balls. We want to pick a white one, so we have a probability of \frac{w}{b+w} of picking a white one.

If this happens, we're left with w-1 white balls and still b black balls, for a total of b+w-1 balls. So, now, the probability of picking a white ball is

\dfrac{w-1}{b+w-1}

The probability of the two events happening one after the other is the product of the probabilities, so you pick two whites with probability

\dfrac{w}{b+w}\cdot \dfrac{w-1}{b+w-1}=\dfrac{w(w-1)}{(b+w)(b+w-1)}

Case 2: both balls are black

The exact same logic leads to a probability of

\dfrac{b}{b+w}\cdot \dfrac{b-1}{b+w-1}=\dfrac{b(b-1)}{(b+w)(b+w-1)}

These two events are mutually exclusive (we either pick two whites or two blacks!), so the total probability of picking two balls of the same colour is

\dfrac{w(w-1)}{(b+w)(b+w-1)}+\dfrac{b(b-1)}{(b+w)(b+w-1)}=\dfrac{w(w-1)+b(b-1)}{(b+w)(b+w-1)}

<h2>(b)</h2>

Case 1: both balls are white.

In this case, nothing changes between the two picks. So, you have a probability of \frac{w}{b+w} of picking a white ball with the first pick, and the same probability of picking a white ball with the second pick. Similarly, you have a probability \frac{b}{b+w} of picking a black ball with both picks.

This leads to an overall probability of

\left(\dfrac{w}{b+w}\right)^2+\left(\dfrac{b}{b+w}\right)^2 = \dfrac{w^2+b^2}{(b+w)^2}

Of picking two balls of the same colour.

<h2>(c)</h2>

We want to prove that

\dfrac{w^2+b^2}{(b+w)^2}\geq \dfrac{w(w-1)+b(b-1)}{(b+w)(b+w-1)}

Expading all squares and products, this translates to

\dfrac{w^2+b^2}{b^2+2bw+w^2}\geq \dfrac{w^2+b^2-b-w}{b^2+2bw+w^2-b-w}

As you can see, this inequality comes in the form

\dfrac{x}{y}\geq \dfrac{x-k}{y-k}

With x and y greater than k. This inequality is true whenever the numerator is smaller than the denominator:

\dfrac{x}{y}\geq \dfrac{x-k}{y-k} \iff xy-kx \geq xy-ky \iff -kx\geq -ky \iff x\leq y

And this is our case, because in our case we have

  1. x=b^2+w^2
  2. y=b^2+w^2+2bw so, y has an extra piece and it is larger
  3. k=b+w which ensures that k<x (and thus k<y), because b and w are integers, and so b<b^2 and w<w^2

4 0
3 years ago
Which ordered pair would form a proportional retationship with the points in the graph?
shtirl [24]

Answer:

(9, 6)

Step-by-step explanation:

the given points are

(3, 2)

(6, 4)

so, can you see, how the sequence continues ?

I see immediately that for every 3 additional units of x we add 2 units of y.

so, yes, the next point in the sequence is

(6 + 3, 4 + 2) = (9, 6).

so, this point (or ordered pair) follows the same ratio or proportional relationship between x and y as the points already in the graph.

in other words, they are on the same line following the same slope ("y coordinate change / x coordinate change" when going from one point on the line to another).

7 0
2 years ago
Chris is buying a new I-phone at the discount of 10%. The original price is $399.99. How much money will he pay for his new phon
kodGreya [7K]

Answer:

chris needs to pay 10% off that amount (aka the orignal amount)

Step-by-step explanation:

5 0
3 years ago
If three people share 1 / 2 pound of peanuts how much will each person have?
zhenek [66]
About .17 pounds. ( just keep the peanuts to yourself) lol
7 0
3 years ago
Other questions:
  • What is the solution to |3x| (&gt;=) 9?
    13·2 answers
  • Stein Co. issued 13-year bonds two years ago at a coupon rate of 10.3 percent. The bonds make semiannual payments. If these bond
    10·1 answer
  • Please help! 27 points!<br> answer correctly!
    11·1 answer
  • Identify the graphed linear equation. A) y = 1/4 x + 5 B) y = 1/4 x - 5 C) y = 1/4 x + 5 2 D) y = 1/4 x - 5 2
    15·1 answer
  • Z%3 = -3.6 helpppp!!!
    6·1 answer
  • What is the image of (2,10)(2,10) after a dilation by a scale factor of \frac{1}{2}
    13·1 answer
  • Lorine drew the model below to represent the equation 16 + 28 = ___ ´ (4 + 7).
    7·2 answers
  • A turtle can walk 1/12 of a kilometer in an hour. The turtle is 1/5 of a kilometer away from a pond.
    8·1 answer
  • Can i get some help with this pls
    8·2 answers
  • Beth gets a sum of 5 when she rolls two fair number cubes. What is the probability that one of the fair number cubes is a 1?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!