Answer:
Step-by-step explanation:
A line in 2-dimensional space has the following general equation:
Where m is the slope of the line, and b just a number
the slope can be obtaine using th following formula:
The point 2 is the one with the smallest value for x, that is (-10,-7) and the Point 1 is any other that belongs to the line, in this case, (-5,-9)
Resulting that 
To find the other term we can use any other point, I prefer us the first one so...
We have the following equation:
Resulting that b=18
I just have to eval the point (-10,-7) in the equation stated at the beginning knowin that m was calculated previously.
Andre walks more steps than Priya.
To find out who many steps each one of them walks in a week, we have to carry out different calculations starting with Andre.
Calculation for number of steps taken by Andre
Andre takes 6000 steps in 50 minutes. We can use this information to scale up his number of steps over a period of 5 hours(300 minutes.). The quickest way to do this calculation, is to notice that there are 6 different 50 minute segments in 300 minutes. This means that the number of steps taken in 5 hours is 
steps.
Another way to do this calculations is to use proportions
.
Andre takes 36000 steps that week.
Calculation for number of steps taken by Priya
The number of steps taken by Priya is given by the is given by the function 
where 
is the time in minutes. Priya walks for a total of 5 hours or 300 minutes. We calculate the number of steps she takes as shown below,
Priya takes a total of 35400 steps.
Since 36000 steps is greater than 35400 steps, we conclude that Andre walks more steps than Priya.
Answer: 15
Step-by-step explanation: The common denominator for these 2 fractions is simply the least common multiple for the 2 denominators.
To find the least common multiple or <em>lcm</em> of 3 and 5, we begin by listing the first few multiples of each number.
<em>Multiples of 3</em>
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
5 x 3 = 15
We skipped 0 x 3 because our lcm can't be 0.
Next we list the multiples of 5.
<em>Multiples of 5</em>
1 x 5 = 5
2 x 5 = 10
3 x 5 = 15
Notice that 15 appears in both lists so
our least common denominator is 15.
Precision refers to the degree of significant figures, or basically how many numbers after the decimal. It <span>is the </span>number<span> of digits in a </span><span>number.
</span> 5.9 liters and 13.6 liters have the same precision (one number after the decimal).
<span>90 liters and 94 liters have the same precision (no decimals).
Correct answer: A and B, C and D</span>
Answer:
(15.8495,16.2505)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 16.05 ounces
Standard Deviation, σ = 0.2005 ounces
We are given that the distribution of amount poured into the bottles is a bell shaped distribution that is a normal distribution.
Empirical rule:
- It states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ).
- It shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
Confidence interval:
Putting the values, we get,
