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GenaCL600 [577]
3 years ago
8

Four times a number is 84 what is the number

Mathematics
1 answer:
Elanso [62]3 years ago
8 0
21 because you can do 84 divided by 21 or you can also do 4 times any number that sounds like it would =84. (Stick with option 1 unless you are super confused)
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4x + 6 - x = 7 + 2 x
rodikova [14]

Answer:

x = 1

Step-by-step explanation:

4x + 6 - x = 7 + 2x

3x + 6 = 7 + 2x

3x - 2x = 7 - 6

x = 1

8 0
3 years ago
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If an equation, Y varies directly as X varies. If Y equals 208 when X equals 13, what is the value of X when Y equals -144?
arlik [135]

Answer: X = -9

Step-by-step explanation:

You can set up a ratio to solve this.

208/13 = -144/x

208x=-1872

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3 years ago
The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me
Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is P(X = 2). So:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0
3 years ago
Normal Samantha is using ribbon to make bows to be sold at a school fundraiser. She has 83.2 meters of ribbon. She needs 1.28 me
adelina 88 [10]

Answer:

83.2 meters ÷ 1.28 meters = 65 bows

4 0
3 years ago
Tell whether the angles are adjacent or vertical. Then find the value of x.
Nimfa-mama [501]

Answer:

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Step-by-step explanation:

the angels are connected so they are adjacent, the red box shows that it is a 90 degree angle so adding both angels together means 90=6x so x=15

8 0
3 years ago
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