The answer is 16 cm (or 0.16 m).
The scale is the ratio of the model to the real thing.
So, in the scale 1:50, the model is 1, while the real thing is 50.
Now, just make a proportion:
the model : the real thing = the model dimension : the real thing dimension
1 : 50 = x : 8m
From here:
x = 8m * 1 / 50 = 0.16 m = 0.16 * 100 cm = 16 cm.
Answer: 5 gallons
Step-by-step explanation:
First, we need to know how many miles we can get by on a gallon of gas. To find this, we need to divide 378 miles by 9 gallons.
378/9 = 42
42 miles per gallon.
Now, we need to find how many gallons of gas it will take Abigail to travel 210. To find this, we simply divide 210 by 42.
210/42 = 5
It will take Abigail 5 gallons of gas to travel 210 miles.
Step-by-step explanation:
We are given with the inequality |2x + 1| ≤ 5 and asked to solve the equation. In this case, we take first the positive side, that is 2x + 1 ≤ 5. this is equal to 2x ≤ 4 or x ≤ 2. For the negative side, the equality is -5 ≤ 2x + 1. This is equal to -6 ≤ 2x or -3 ≤ x. Hence the solution is -3 ≤ x ≤ 2. The answer is B. closed dots on -3 and 2 with shading in between. The equal in ≤ means closed dots.
Answer:
The 90% confidence interval for the percentage of people the company contacts who may buy something is between 10.82% and 14%
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
90% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval for the percentage of people the company contacts who may buy something is between 10.82% and 14%
<h3>
Answer: 2</h3>
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Explanation:
The greek letters mu and sigma represent the population mean and population standard deviation respectively.
mu = 104
sigma = 6
x = 116 is the raw score we want to convert to a z score
z = z score
z = (x-mu)/(sigma)
z = (116-104)/(6)
z = 12/6
z = 2
The positive z score tells us the raw score is above the mean.
