What is the slope of the line that passes through the points (-20, 18) and (30, 14)?25
1 answer:
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Hello there! Thank you for asking your question here at Brainly! I will be assisting you today with answering this problem, and will teach you how to handle it on your own in the future.
First, let's take a look at our problem.
"The speed of a ship is given by D3, where D is the distance the ship travels in 3 hours. If the ship travels 48 miles in 3 hours, what is the speed of the ship?"
To solve for this, we need to understand the formula for speed.
The formula for speed is:
Speed =
Now that we have our formula, let's define our variables.
So, we have our distance, 48 miles, and our time, 3 hours.
Let's plug in these numbers to the formula.
Speed =
Simplify the fraction to get the speed.
= 16.
Your final equation is:
Speed = 16.
Our final answer is 16 mph.
I hope this helps!
First, let's take a look at our problem.
"The speed of a ship is given by D3, where D is the distance the ship travels in 3 hours. If the ship travels 48 miles in 3 hours, what is the speed of the ship?"
To solve for this, we need to understand the formula for speed.
The formula for speed is:
Speed =
Now that we have our formula, let's define our variables.
So, we have our distance, 48 miles, and our time, 3 hours.
Let's plug in these numbers to the formula.
Speed =
Simplify the fraction to get the speed.
Your final equation is:
Speed = 16.
Our final answer is 16 mph.
I hope this helps!
Answer:
So the value of height that separates the bottom 85% of data from the top 15% is 38.32.
C) 38.32
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
2) Solution to the problem
Let X the random variable that represent the waiting time in minutes of a population, and for this case we know the distribution for X is given by:
Where and
And the best way to solve this problem is using the normal standard distribution and the z score given by:
We want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 85% of data from the top 15% is 38.32.
C) 38.32
The line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.
<h3>What is the line of best fit?</h3>A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
First, we need to find the line of best fit:
Let's suppose the line of the best fit is:
y = mx + c
We can find the value of m:
and
After calculating, we will get:
m = 4.71
d = -30.31
y = 4.71x—30.31
Plug x = 9.5
y = 14.43 ≈ 14.5 oz
Thus, the line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.
Learn more about the line of best fit here:
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