Answer:
P(25 < x < 37) = 0.77
Step-by-step explanation:
Given - If a Variable has a normal distribution with mean 30 and standard deviation 5
To find - find the probability that the variable will be between 25 and 37.
Proof -
Given that,
Mean, μ = 30
S.D, σ = 5
Now,
~ N(0,1)
Now,
P(25 < x < 37)
= 
= P(1 < z < 1.4)
= P(z < 1.4) - P(z < -1)
= 0.9192 - 0.1587
= 0.7605
≈ 0.77
∴ we get
P(25 < x < 37) = 0.77
Okay first you should subtract 8.50 from 61.60 because the delivery charge doesn't count. 61.60-8.50=53.1. now divide 53.1 by 2.95. 53.1÷2.95=18. Romeo ordered 18 roses for his girlfriend.
To solve this question simply break down the variables and numbers one at a time.
Here the word a number can be used to describe any number so let’s call that a variable x.
Increased would be addition in mathematics.
Next put everything together.
5x + 6 = -2
5x = -8
X = -8/5.
This is the value of x
Let x represent the horse age
Let y represent the human age
Since the horse age and human age vary directly, we have the relation
Introducing an equality sign, we
Where K is a proportionality constant, evaluated as
Since a 5-year-old horse is equivalent to 15-year old human,
x = 5
y = 15
we have
Thus,
Thus, for a horse who has lived 16 years
x = 16
Answer:
5.5 or 5 1/2
Step-by-step explanation:
In order to solve this problem, we first need to set up an equation. Line AB is tangent to circle P. So is line AC. Because these two tangent lines come together at a point, they are congruent, or equal to each other. Now that we know this, we can set up an equation in order to solve for the value of y.
3y + 4 = 11y
Now solve for y.
- 3y - 3y
4 = 8y
÷8 ÷8
y = 0.5 or 1/2
Now that we know what the value of y is, we can plug that number into the AB equation to figure out what the measurement of line AB is.
3(0.5) + 4 =
1.5 + 4 =
5.5 or 5 1/2
We now know the measurement of line AB. I hope this helps and isn't too confusing. Please let me know if you need any more help. Good luck!
