Answers:
a) 0.091
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 140 minutes
Standard Deviation, σ = 15 minutes
We are given that the distribution of time watching videos is a bell shaped distribution that is a normal distribution.
Formula:
a) P(time is less than 120 minutes)
Calculating the value from the standard normal table we have,
The probability that an 18- to 24-year-old spends less than 120 minutes watching video on his or her smartphone per month is 0.091
Answer:
230 million
Step-by-step explanation:
I took the application
Answer:
.92 cents for two cans
Step-by-step explanation:
if a six pack is $2.79, divide by six to see how much they cost individually, which is .46 so multiple .46 times 2 for two cans.
Answer:
5, 25, 109
Step-by-step explanation:
5, 25, 109, 2725 divided by 5, 5, 109, gives no remainder. They are integers and prime numbers of 2725, they are also called composite number.
<span>The length of the sides of the triangle are: 7 cm, 14 cm, 24 cm
Let's call the length of the shortest side of the triangle "s". With that in mind, let's create some equations summarizing what we know.
"One side is twice as long as the shortest side"
So one of the sides is
2s
"The remaining side is 25cm less than the square of the shortest side."
That makes the 3rd side:
s^2 - 25
So the 3 sides we have have a length of
s
2s
s^2 - 25
And the final piece of the puzzle is "triangle has a perimeter of 45cm", so our final equation becomes
s + 2s + (s^2 - 25) = 45
Now solve for s
s + 2s + (s^2 - 25) = 45
s + 2s + s^2 - 25 = 45
3s + s^2 - 25 = 45
s^2 + 3s - 25 = 45
s^2 + 3s - 70 = 0
We now have a regular quadratic equation. We could use the quadratic formula to find it's roots. But let's do it the old fashioned way.
Since the 3rd term is negative, the factorization will be of the form:
(s + x)(s - y)
Also since the coefficient of the s^2 is 1, the first terms of both factors will be simply s. And since the 2nd term has a coefficient of 3, we need to find 2 factors of the 3rd term that have a difference of 3. The numbers 7 and 10 are quite suitable. So we have
(s + 10)(s - 7) as the factorization, which means that s has a value of either -10, or 7. Since a negative length doesn't make sense for this problem, we'll use the positive value of 7 as the length of the shortest side.
Now since we know the shortest side is 7. The side that's twice as long is 2*7 = 14. And the third side is 25 less than 7 squared, so 7^2 - 25 = 49 - 25 = 24.
So our sides are 7, 14, 24
And finally, as a quick check, let's add them together to make sure the perimeter is correct
7 + 14 + 24 = 45
And it is correct.</span>