Answer:
Step-by-step explanation:
Given:
Scale
2 inches : 5 feet
Actual dimensions
Let x be the dimension of the scale drawing (in inches) and y, the corresponding dimension of the actual field (in feet).
Scaled dimension = scale × actual dimension
Actual dimension, x = y × 5 ft/2 in
2 × x = 5 × y
Equation:
2x = 5y
Answer:
And replacing we got:
And the confidence interval for the difference of means would be given by:
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
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".
We have the following data given:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 93% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The confidence interval is given by:
And replacing we got:
And the confidence interval for the difference of means would be given by:
Answer:
Hello, the correct answer to this question is letter D) 20.7%
Step-by-step explanation:
There are 66 elephants in the safari.
Solution:
The number 88 refers to both elephants and giraffes that are in the safari. We know that the number of elephants is thrice the number of giraffes. So we can let x be the number of giraffes and 3x be the number of elephants.
We will then come up with the following equation:
3x + x = 88
Then, just add the two variables, and continue the operation.
4x = 88
x = 88/4
x = 22
Now we know that there are 22 giraffes in the safari. So 3x, or 3(22) = 66. There are 66 elephants in the safari.
Our distance is x
We know each week she rides a total distance greater than 10 km and less than or equal to 30 km
We can write this like the following:
x > 10
x <= 30
It also tells us the distance is always an even number and a multiple of 3. Ask your self, what are some numbers between 10 and 30 and is a multiple of 3.
12, 18, 24 and 30
So the possible distances are 12, 18, 24, 30
Notice each number is an even number and you can divide the number by 3 evenly so they are numbers with 3 being a multiple.
