Write as a mathematical equation. The product of 5 and x is 25.

Pls help asappppppp it is very important I need it pls

Volgvan

Given:

The graph of a proportional relationship.

To find:

The constant of proportionality, the value of y when x is 24 and the value of x when y is 108.

Solution:

If y is directly proportional to x, then

$y\propto x$

$y=kx$ ...(i)

Where, k is the constant of proportionality.

The graph of proportional relationship passes through the point (5,15).

Substituting x=5 and y=15 in (i), we get

$15=k(5)$

$\dfrac{15}{5}=k$

$3=k$

Therefore, the constant of proportionality is 3.

Substituting k=3 in (i) to get the equation of the proportional relationship.

$y=3x$ ...(ii)

Substituting x=24 in (ii), we get

$y=3(24)$

$y=72$

Therefore, the value of y is 72 when x is 24.

Substituting y=108 in (ii), we get

$108=3x$

$\dfrac{108}{3}=y$

$36=y$

Therefore, the value of x is 36 when y is 108.

5 0

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

Ms.Cornick bought 6 new pens for $5.70. How much would it cost her to buy 11 pens at the same rate?

UNO [17]

Answer:

about 11.50

Step-by-step explanation:

6 / 5.70 = 1.05

1.05 x 11

hope this helps

5 0

2 years ago

What value should go in the empty boxes to complete the calculation for finding the product of 0.61 × 0.45? Both numbers are the

nalin [4]

its 0.106 because I said so

7 0

3 years ago

A. In the standard normal and t distributions, the 95% confidence multiplier is equal to the ________ 1-sided critical value.

valkas [14]

Answer:

a. 1.645 multiplier = 5% critical value

b. 95

Step-by-step explanation:

Note that in statistical analysis probability principles are often used. The critical value from the critical region indicates whether the statistician should reject or accept the null hypothesis.

Note that the confidence multiplier is a constant that shows the number of standard deviations in a normal curve; the deviation standard<em> implies the measure of difference between the observed value of a variable and some another value.</em>

5 0

3 years ago