Helpp I dont know math at all and my midterms are next week this is just a review

Lia has $24. Lia and her brother together have a total of $45. The solution of the equation 24 + x = 45 is the amount of money,

Julli [10]

Answer:

21$

Step-by-step explanation:

24+x=45

-24 -24

x=21$

6 0

3 years ago

Read 2 more answers

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

Can someone plz help me on this plz I beg u plz

JulsSmile [24]

<h3>Answer: 25w+200 > 750</h3>

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Explanation:

He starts off with 200 cards. Then he adds on 25w more cards for each week (w). Overall, he'll have 200+25w cards

We can think of it like this:

After 1 week, he adds on 25*1 = 25 cards
After 2 weeks, he adds on 25*2 = 50 cards total
After 3 weeks, he adds on 25*3 = 75 cards total
After 4 weeks, he adds on 25*4 = 100 cards total, and so on.
After w weeks, he adds on 25w cards total

So that's another way to see where the 25w comes from.

The expression 200+25w is the same as 25w+200. This is because we can add two numbers in any order.

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Since he wants to know when he'll have more than 750 cards, this means we set 25w+200 greater than 750.

That's how we get to the answer of 25w+200 > 750

Notice how there isn't a line under the inequality sign. We aren't using the "greater than or equal to" symbol here. We want to know when the cards gets over 750, but we don't want to know when it's equal to 750.

5 0

3 years ago

PLEASE ANSWER ASAP I NEED HELP. <br> IT WILL BE MUCH APPRECIATED<br> find the product (x+4)(x-3)

iragen [17]

Answer:

Work shown below!

Step-by-step explanation:

(x + 4)(x - 3) = $x^{2} -3x+4x-12=x^{2} +x-12$