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sveta [45]
3 years ago
5

The glee club is having their annual Spring performance. The equation 5a+2s=48 represents the money collected on the first night

of their performance and 3a+2s=32 represents the money they collected on the second night of their performance. What is the cost of each adult ticket (a)?
Mathematics
1 answer:
V125BC [204]3 years ago
4 0
First, put them directly above each other.
5a+2s=48
3a+2s=32

You need to combine these, but in order to do so, we want to get rid of one of the letters. The S's line up very well, and all we need to do is multiply the bottom equation by a negative 1. This will look like this,
-3a-2s=-32                        (and add it to the other equation)
5a+2s=48
                         This gives you
2a=16
Divide both sides by 2 to get a by itself.

a=8, is your answer!

If it asked for s, you would put 8 into whichever equation seems easier for you, and then its just simple crunching it out.

Hope this helped!
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Gemma has found the car she wants for $3200. In the city she is in, the local tax rate is 7.38%. How much would she need to pay
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3 years ago
A certain company sends 40% of its overnight mail parcels by means of express mail service A1. Of these parcels, 4% arrive after
Harrizon [31]

Answer:

(a) The probability that a randomly selected parcel arrived late is 0.026.

(b) The probability that a parcel was late was being shipped through the overnight mail service A₁ is 0.615.

(c) The probability that a parcel was late was being shipped through the overnight mail service A₂ is 0.192.

(d) The probability that a parcel was late was being shipped through the overnight mail service A₃ is 0.192.

Step-by-step explanation:

Consider the tree diagram below.

(a)

The law of total probability sates that: P(A)=P(A|B)P(B)+P(A|B')P(B')

Use the law of total probability to determine the probability of a parcel being late.

P(L)=P(L|A_{1})P(A_{1})+P(L|A_{2})P(A_{2})+P(L|A_{3})P(A_{3})\\=(0.04\times0.40)+(0.01\times0.50)+(0.05\times0.10)\\=0.026

Thus, the probability that a randomly selected parcel arrived late is 0.026.

(b)

The conditional probability of an event A provided that another event B has already occurred is:

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

Compute the probability that a parcel was late was being shipped through the overnight mail service A₁ as follows:

P(A_{1}|L)=\frac{P(L|A_{1})P(A_{1})}{P(L)} \\=\frac{0.04\times 0.40}{0.026} \\=0.615

Thus, the probability that a parcel was late was being shipped through the overnight mail service A₁ is 0.615.

(c)

Compute the probability that a parcel was late was being shipped through the overnight mail service A₂ as follows:

P(A_{2}|L)=\frac{P(L|A_{2})P(A_{2})}{P(L)} \\=\frac{0.01\times 0.50}{0.026} \\=0.192

Thus, the probability that a parcel was late was being shipped through the overnight mail service A₂ is 0.192.

(d)

Compute the probability that a parcel was late was being shipped through the overnight mail service A₂ as follows:

P(A_{3}|L)=\frac{P(L|A_{3})P(A_{3})}{P(L)} \\=\frac{0.05\times 0.10}{0.026} \\=0.192

Thus, the probability that a parcel was late was being shipped through the overnight mail service A₃ is 0.192.

4 0
3 years ago
Wyatt uses 3/4 gallon of paint two identical, dog houses. Wyatt has 5 1/2 gallons of paint. Assuming that the dog houses are ide
andrew-mc [135]
Divide 5 1/2, or 11/2 by 3/4. You can do that by multiplying 11/2 and 4/3 to get 44/6. Simplify and you get 22/3, which is about 7.33 or 7 1/3. If he can only paint whole dog houses, the answer is 7.
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Gnoma [55]

Answer:

a) E & F are dependent because regularly handling venomous snakes can affect the probability of a person living at least 70 years.

Step-by-step explanation:

Independent Events. When two events are said to be independent of each other, what this means is that the probability that one event occurs in no way affects the probability of the other event occurring.

Two events are dependent if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed.

Since Venomous snakes are species of the suborder Serpents that are capable of producing venom, which they use for killing prey, for defense, and to assist with digestion of their prey and the older you get the less active you become, Hence the handle of venomous snakes can affect the probability of a person living at least 70 years

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3 years ago
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