The right answer is Option A.
Step-by-step explanation:
Given,
Heart rate goal = I
Heart rate reserve = H
70% of H =
Resting heart rate = R
According to given statement,
70% of heart rate reserved is added to resting heart rate to calculate heart rate goal, therefore,
I = R + 0.7H
I=R+0.7H represents the given situation.
The right answer is Option A.
Keywords: linear expression, addition
Learn more about addition at:
#LearnwithBrainly
Answer:
The answer is c
Step-by-step explanation:
you take 2 - 1 and divide by -3-0 and get -1/3 which is the slope
Answer:
0.4 l of purple sand
Step-by-step explanation:
<u>Volume to be filled in:</u>
<u>Red sand</u>
<u>Blue sand</u>
- 35 centiliters = 35*10 ml = 350 ml
<u>Yellow sand</u>
- 2.5 deciliters = 2.5*100 ml = 250 ml
<u>Total volume filled:</u>
- 1000 + 350 + 250 = 1600 ml
<u>Purple sand needed:</u>
- 2000 - 1600 = 400 ml = 0.4 l
<u>Answer is</u> 0.4 l of purple sand required
You know the tangent point, so all you need for the tangent line equation is the slope. That is given by the derivative at x=3.
The derivative is
y' = 3x^2 -2
At x=3, this is y' = 3(3²) -2 = 25
Then your line in point-slope form is
y -22 = 25(x -3)
Answer:
a. 0.45 b. 1
Step-by-step explanation:
We will be using Poisson Approximation of Binomial because n = 80,000 is large and probability (<em>p) </em>is very small.
We calculate for (a) as follows:
The probability that both partners were born on April 30 is
<em>p </em>= 1/365 X 1/365
<em>p </em>= 1/133,225
<em>p </em>= 0.00000751
Using Poisson Approximation, we have:
λ = n<em>p</em>
λ = 80,000 X 0.00000751
λ = 0.6
We use λ to calculate thus:
P (X 1) = 1 - P ( X = 0)
= 1 - e^-λ
= 1 - e^-0.6
= 0.451
There is a 45.1% probability that, for at least one of these couples, both partners were born on April 30.
(b) To calculate the probability that both partners celebrated their birthday on the same day:
<em>p </em>(same birthday) = 365 X 1/365 X 1/365
= 1/365
λ = n<em>p</em>
λ = 80,000 X 1/365
λ = 219.17
P (X 1) = 1 - P ( X = 0)
= 1 - e^-λ
= 1 - e^-219.17
≈ 1
There is almost 100% probability that, for at least one of these couples, both partners celebrate their birthday on the same day of the year.