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BartSMP [9]
3 years ago
9

5x + 3 = x + 11 Please help fast thankyou

Mathematics
1 answer:
Allushta [10]3 years ago
8 0

Answer:

x = 2

Step-by-step explanation:

5x + 3= x + 11

5x - x = 11 - 3

4x = 8

x = 2

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Gavyn was thinking of a number. Gavyn doubles it, then adds 14 to get an answer of 17.2. What was the original number?
VARVARA [1.3K]

Answer:

Original number we'll call "x".

2x + 14 = 17.2

x = 1.6

Step-by-step explanation:

6 0
2 years ago
You are given the information that P(A) = 0.30 and P(B) = 0.40.
Ad libitum [116K]

Answer:

1.B. No. You need to know the value of P(A and B). 2.C. Yes P(A and B) =0, so P(A or B) = P(A) + P(B).

Step-by-step explanation:

We can solve this question considering the following:

For two mutually exclusive events:

\\ A_{1}\;and\;A_{2}

\\ P(A_{1} or A_{2}) = P(A_{1}) + P(A_{2}) (1)

An extension of the former expression is:

\\ P(A_{1} or A_{2}) = P(A_{1}) + P(A_{2}) - P(A_{1} and A_{2}) (2)

In <em>mutually exclusive events,</em> P(A and B) = 0, that is, the events are <em>independent </em>one of the other, and we know the probability that <em>both events happen</em> <em>at the same time is zero</em> (P(A <em>and</em> B) = 0). There are some other cases in which if event A happens, event B too, so they are not mutually exclusive because P(A <em>and</em> B) is some number different from zero. Notice the difference between <em>OR</em> and <em>AND. The latter implies that both events happen at the same time.</em>

In other words, notice that the formula (2) provides an extension of formula (1) for those events that are not <em>mutually exclusive</em>, that is, there are some cases in which the events share the same probabilities in a way that these probabilities <em>must be subtracted</em> from the total, so those probabilities in common do not "inflate" the actual probability.

For instance, imagine a person going to a gas station and ask for checking both a tire and lube oil of his/her car. The probability for checking a tire is P(A)=0.16, for checking lube oil is P(B)=0.30, and for both P(A and B) = 0.07.

The number 0.07 represents the probability that <em>both events occur at the same time</em>, so the probability that this person ask for checking a tire or the lube oil of his/her car is:

P(A or B) = 0.16 + 0.30 - 0.07 = 0.39.

That is why we cannot simply add some given probabilities <em>without acknowledging if the events are or not mutually exclusive</em>, whereas we can certainly add the probabilities in question when we know that both probabilities are <em>mutually exclusive</em> since P(A and B) = 0.

In conclusion, knowing the events are mutually exclusive <em>does</em> provide <em>extra information</em> and we can proceed to simply add the probabilities of either event; thus, the answers are those in which <em>we need to previously know the value of P(A and B)</em>.  

7 0
2 years ago
The attendant at a parking lot compared the number of hybrid vehicles to the total number of vehicles in the lot over a weekend.
EastWind [94]
We are given:

The ratios of the number of hybrid vehicles to the total number of vehicles in the lot over a weekend (3 days) are equivalent. 

This means that if on day 1, 100 hybrid cars parked and there are 300 cars in total, the ratio is 1 is to 3.

Therefore, on day 2 and 3, we can determine the number of hybrid cars parked given the total number of cars parked using the ratio, and vice versa. 
3 0
3 years ago
Tammy rents a storage shed. The storage shed is in the shape of a rectangular prism with measurements as shown. A rectangular pr
lesantik [10]

Answer:

Finding the product of 9, 10 and 9 ; 810

Step-by-step explanation:

Given that :

Length = 10 feets

Width = 9 feets

Height = 9 feets

The volume of a rectangular prism is obtained by :

Length * width * height

The volume could be obtained by taking the product of 10, 9 and 9

Hence, the volume of the rectangular prism is :

(10 * 9 * 9) feet³ = 810 feet³

Number of 1 feet³ boxes = 810 feet³ / 1 feet³ = 810

5 0
2 years ago
Simplify.<br><br> 62+15<br><br><br><br><br> 21<br><br> 27<br><br> 46<br><br> 51
Step2247 [10]

Answer:The answer is 77.

Step-by-step explanation:

But it's not in the options.

If the question is 62-15=47

3 0
2 years ago
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