A DVD is on sale for $1.05 off. This is a 15% discount from the original price. Use an equation to find the origina

Tom has 28 milk chocolates, and Emily has 24 dark chocolates. They have to divide these chocolates into small packets that each

fenix001 [56]

I believe that each would have 12 dark chocolates and milk chocolates, with one left over for each of them

7 0

2 years ago

In this problem, the ratios are inversely proportional. Find the missing value. If R1 = 6, R2 = 8, and I1 = 12, what is the valu

Drupady [299]

Answer:

$I_2=9$

Step-by-step explanation:

We have been told that the ratios are inversely proportional in our given problem. We are asked to find the missing value.

We know that two inversely proportional quantities are in form $y=\frac{k}{x}$ , where, y is inversely proportional to x and k is the constant of proportionality.

Let us find constant of proportionality using $R_1 = 6$ and $I_1 = 12$ in above equation.

$6=\frac{k}{12}$

$6*12=\frac{k}{12}*12$

$72=k$

Now, we will use $72=k$ and $R_2 = 8$ in our equation to find $I_2$ as:

$8=\frac{72}{I_2}$

$I_2=\frac{72}{8}$

$I_2=9$

Therefore, the value of $I_2$ is 9.

5 0

2 years ago

A group of five people are all working on the same mathematics problem. On the night before it is due, they call each other to d

UkoKoshka [18]

Answer:

Minimum number of calls = 10

Step-by-step explanation:

Lets name the five people as A,B,C,D and E.

On the night before ,each person talks to every other person atleast once that means A would talk to B,C,D and E atleast once.

Lets start with A. He would talk to other 4 people which means there would be 4 phone calls made.

Now lets take B. He can talk to A,C,D and E. But A has already talked to C therefore to get minimum number of phone calls , B need not call A again. So he calls only C,D and E.

In case of C using similar logic he need to talk to only D and E.

For D , he talks to E alone.

E does not have to talk to anyone as he has already talked to everyone atleast once.

Total calls = 4 + 3 + 2 + 1

= 10

5 0

2 years ago

Hitung jarak di antara titik P(7, 1) dengan titik Q(7, 8)

MaRussiya [10]

Answer:

7 units

Step-by-step explanation:

Distance between 2 points

= $\sqrt{(y1 - y2)^{2} + (x1 - x2) {}^{2} }$

Thus, distance PQ

$=\sqrt{(8 - 1)^{2} + (7 - 7)^{2} } \\ = \sqrt{7^{2} } \\ = 7$

Or you could simply take 8-1= 7 since both points have the same x-coordinate. Thus, PQ is a vertical line and the distance between them is due to the difference in their y-coordinate.

5 0

2 years ago

Let X represent the amount of time until the next student will arrive in the library parking lot at the university. If we know t

Ber [7]

Answer:

The probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

Step-by-step explanation:

The random variable X is defined as the amount of time until the next student will arrive in the library parking lot at the university.

The random variable X follows an Exponential distribution with mean, μ = 4 minutes.

The probability density function of X is:

$f_{X}(x)=\lambda e^{\lambda x};\ x\geq 0, \lambda >0$

The parameter of the exponential distribution is:

$\lambda=\frac{1}{\mu}=\frac{1}{4}=0.25$

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10}{0.25e^{-0.25x}}\, dx$

$=0.25\times \int\limits^{\infty}_{10}{e^{-0.25x}}\, dx\\=0.25\times |\frac{e^{0.25x}}{-0.25}|^{\infty}_{10}\\=(e^{-0.25\times \infty})-(e^{-0.25\times 10})\\=0.0821$

Thus, the probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

3 0

2 years ago