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2 years ago

5

If x+4/4 = y+7/7 then x/4=___

1 answer:

muminat2 years ago

4 0

Please, enclose those binomials x+4 and y+7 inside parentheses:

(x+4) / 4 = (y+7) / 7. Find (x/4).

Let's solve the above equation for x:

x+4 = 4(y+7)/7. Then x = 4(y+7) / 7 - 4

Last, divide all 3 terms by 4: x/4 = (y+7) / 7 - 1 (answer)

y + 7 - 7
You could also type this as x/4 = ------------- = y/7
7

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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

5,250 as scientific notation

earnstyle [38]

$\text{Hey there!}$

$\text{5.250 as a scientific notation}$

$\bf{The\ answer\ is:}$ $\boxed{\bf{5.25 \times10^3}}}}$

$\text{Because, we had to move your decimal approximately 3 placecs to the left}$

$\rightarrow\tex{= 5250. }$

$\boxed{\text{That's how we know the answer is: \bf{\boxed{5.25 \times10^3}}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

4 0

3 years ago

Read 2 more answers

-4+6y=16<br> Change to slope (intercept)

hichkok12 [17]

*here is step by step*
(Remember to add the 'x' to the slope)

-4x+6y=16

6y=4x+16

y= 4/6x + 2.66

The complete answer is:
y= 2/3x + 2.66

7 0

3 years ago

Which of the following points are on the line given by the equation y = 5x?

ivanzaharov [21]

Answer:

C and E

Step-by-step explanation:

To answer this question, we plug in the X values of the coordinates into the equation to see if they'll give us the corresponding Y value.

(X, Y)

Example:

Y = 5X

6 != 5 * 3

We do this for every coordinate point. If the problem doesn't make sense, it doesn't fall on the line. Let's test every one of these.

B. (0, 1)

1 != 5 * 0

C. (3, 15)

15 = 5 * 3

D. (4, 2)

2 != 5 * 4

E. (-1, -5)

-5 = 5 * -1

F. (-1, 5)

5 != 5 * -1

* For those who don't know, the != is how to say "not equal to" in computer science.

3 0

3 years ago

...... ..... .... ....

OleMash [197]

14×2×2×2×2= 224
Chase scored 224 points on thursday

5 0

2 years ago