Y=30x+18
well if he didn't deliver to any houses he would be paid 18$.
Answer:
Step-by-step explanation:
Let x be the random variable representing the time (in minutes) taken for a dose of a certain drug to be effective as a sedative on lab animals. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 1
σ = √variance = √0.01 = 0.1
the probability that the time taken for a randomly selected animal is between 1 and 1.1 minutes is expressed as
P(1 ≤ x ≤ 1.1)
For x = 1,
z = (1 - 1)/0.1 = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
For x = 1.1
z = (1.1 - 1)/0.1 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
Therefore,
P(1 ≤ x ≤ 1.1) = 0.84 - 0.5 = 0.34
The the proportion of animals for which the time taken is between 1 and 1.1 minutes is 0.34
Answer:
A) 15x - 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
5x(3 - 12x) - 3(4 - 20x²)
<u>Step 2: Simplify</u>
- Distribute: 15x - 60x² - 12 + 60x²
- Combine like terms: 15x - 12
In order to convert a percent to the decimal, the number should be divided by 100 and remove the percentage sign.
<u>Step-by-step explanation:</u>
Percent stands for per hundred.
In order to convert a percent to the decimal, the number should be divided by 100 and remove the percentage sign.
Example – 75%
= 75/100
= 0.75
<u>To convert decimal to mixed fraction:</u>
1. Divide the given decimal number by the place of the decimal and remove the point from the numerator.
Example – 5.25
= 525/100
2. Simplify the fraction if possible.
Example = 525/100 = 21/4
3. Divide the numerator by the denominator.
On solving we get, 5 as the quotient and 1 as the remainder.
To convert into a mixed fraction = the remainder becomes the numerator and denominator remains the same
Mixed fraction becomes = 5 1/4
