The function p(x) = -2(x - 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the

Two shuttle buses start and end their routes at the same place. Bus A takes 5 min to complete its route. Bus B takes 12 min to c

erastova [34]

A. 5 minutes long , I think

7 0

3 years ago

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A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s

Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

$P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0$

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

$P_K=3P_T\\\\P_K-3P_T=0$

Finally, we know that the sum of probablities has to be 1, or 100%.

$P_Q+P_K+P_T=1$

We can solve this by sustitution:

$P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6$

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

$P_K+P_Q=0.6+0.2=0.8$

8 0

3 years ago

Solve the system of equations using the linear combination method.

Anit [1.1K]

5p - 3q = -39
- (-2p - 3q = 3)
==> 7p = -42 ==> p = -6

==> p = -6
-2(-6) - 3q = 3 ==> 12 - 3q = 3

==>p = -6
-3q = 3 - 12 ==> -3q = -9

==> p = -6
q = 3

7 0

3 years ago

23.017 nearest tenth

hodyreva [135]

Answer:

23

Step-by-step explanation:

If it's lower than 5 keep it and go

Above 5 climb one number higher

4 0

3 years ago

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-5 for f(x) = - 4 < x < 1 1 - X – 5 for

Lady bird [3.3K]

Answer:

the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

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20 votes: