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omeli [17]
3 years ago
8

Heeeeeeeeeeeeeeeeelp

Mathematics
1 answer:
lys-0071 [83]3 years ago
7 0

Answer:

a b

Step-by-step explanation:

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To travel 105 miles, it takes Sue, riding a moped, 3 hours less time than it takes Doreen to travel 64 miles riding a bicycle. S
Volgvan
<span>Let t=time Doreen travels; let r=rate of Doreen

                RATE * TIME = DIST.
        Sue | r+13      t-3       105
   Doreen |   r           t          64
 
Now solve the system:
(r+13)(t-3)=105
</span>r*t=64<span>
 
</span>r= \frac{64}{t} &#10;\\&#10;\\(\frac{64}{t} +13)(t-3)=105 &#10;\\&#10;\\64- \frac{192} {t}+13t-39-105=0&#10;\\&#10;\\13t- \frac{192} {t}-80=0&#10;\\&#10;\\ 13t^2-80t-192=0&#10;\\&#10;\\t_{1,2}= \frac{80\pm \sqrt{(-80)^2-4\times13(-192)} }{2\times13}= \frac{80\pm128}{26}  &#10;\\&#10;\\t=\frac{80+128}{26}  =8&#10;\\&#10;\\r=\frac{64}{t} =\frac{64}{8} =8<span>
             
Doreen: rate = 8 mph, time = 8 hours
Sue:  </span>rate = 21 mph, time = 5 hours<span>


</span>
8 0
3 years ago
The editor of a textbook publishing company is deciding whether to publish a proposed textbook. Information on previous textbook
kogti [31]

Answer:

34.86% probability that it will be huge​ success

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Receiving a favorable review.

Event B: Being a huge success.

Information on previous textbooks published show that 20 % are huge​ successes

This means that P(B) = 0.2

99 % of the huge successes received favorable​ reviews

This means that P(A|B) = 0.99

Probability of receiving a favorable review:

20% are huge​ successes. Of those, 99% receive favorable reviews.

30% are modest​ successes. Of those, 70% receive favorable reviews.

30% break​ even. Of those, 40% receive favorable reviews.

20% are losers. Of those, 20% receive favorable reviews.

Then

P(A) = 0.2*0.99 + 0.3*0.7 + 0.3*0.4 + 0.2*0.2 = 0.568

Finally

P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.99}{0.568} = 0.3486

34.86% probability that it will be huge​ success

4 0
3 years ago
Freidy is practicing for the marathon. It takes him 1.75 hours to run 12.25 miles. At this rate, how long will it take you to co
Flauer [41]

Answer:

It would take him about 3.7 hours to run 26.2 miles because he can run 7 miles per hour and 26.2/7 is 3.7....

Step-by-step explanation:

hope this helps :)

5 0
3 years ago
Read 2 more answers
HELP!!!!
OverLord2011 [107]

Answer:

Step-by-step explanation:

You just need the distance formula here.  It's very simple to follow:

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

which, for us, looks like this:

d=\sqrt{(13-4)^2+(19-7)^2} and

d=\sqrt{9^2+12^2} and

d=\sqrt{81+144} and

d=\sqrt{225} so

d = 15

4 0
3 years ago
The tip for a restaurant bill is $9.20. What is the tip for a 21.50 meal?
nlexa [21]
The amount of the tip is 12%
8 0
3 years ago
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