As a fraction, it can’t be simplified. As a decimal, it’s 0.375.
Answer:
The 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February is between $292.48 and $331.32
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 21 - 1 = 20
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 20 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.7247
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 311.9 - 19.42 = $292.48
The upper end of the interval is the sample mean added to M. So it is 311.9 + 19.42 = $331.32
The 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February is between $292.48 and $331.32
Answer:
The answer is C.
Step-by-step explanation:
Hope this helps!
Answer:
a. 5 represents the number of calories that come from other ingredients.
b. Neither 8 nor 3 satisfy the given equation, so neither 8 nor 3 can be the solution to the equation.
c. <em>c = 5.5</em>
Step-by-step explanation:
We are given the equation:
Where
represents the grams of carbohydrates
27 is the total number of calories that are received by the granola bite.
4 is the number of calories from 1 gram of carbohydrates and
5 is the number of calories that are received from other ingredients.
Answer of Part a:
5 is the number of calories that are received from other ingredients.
Part b:
Let us take left hand side (LHS) and put values of c = 8 and 3 one by one.
So, LHS becomes:
4 \times 8 + 5 = 37 
4 \times 3 + 5 = 17 
So, Priya is correct that neither 8 or 3 could be solution.
Part c:

So, solution to the equation is: <em>c = 5.5</em>
Answer:
C)
Step-by-step explanation:
Note that one of the lines is simply y=-1 for any x, so we can dismiss the only answer without y=-1. That rejected answer is A)
Now let's notice, that the other line is decreasing y when increasing x. That tells us that in the equation y = ax + b, a has to be negative. This brings us to reject option D).
What is the y of that line for x = 0? Because y = ax + b, for x = 0 we will get the value of b. This is called the intercept. The line is at y=4 for x=0, so we know that the b in the equation must be positive 4. This fits answer C, but rejects answer B). And so, we have found that C) is the only possible answer.