Answer:
B. All real numbers
Step-by-step explanation:
2(x + 1) = 2x + 2
Distribute the 2 inside the parenthesis.
2x + 2 = 2x + 2
Since the two expressions are equal and will stay equal with any value, the answer to this question is All real numbers.
Example:
2(x + 1) = 2x + 2
2(5 + 1) = 2(5) + 2
2(6) = 10 + 2
12 = 12
2(x + 1) = 2x + 2
2(150 + 1) = 2(150) + 2
2(151) = 300 + 2
302 = 302
The expression is equal for any value put in x.
Answer:
1.
hours / views
1. / 125
2. / 250
3. / 375
4. / 500
5. / 625
2.
f(x)= 125 x views=125.hours
The slope of the function equals the visits of each hour.
3. (1;125) (2;250) (3;375) (4;500) (5;625)
4. "views as a function of hours"
5. in 12 hours the website will have f(12)=125 . 12 = 1500 views.
we can see in the plot that the line gets to that number for 8
Answer:
71.123 mph ≤ μ ≤ 77.277 mph
Step-by-step explanation:
Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:
≤ μ ≤ 
Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and
is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.
the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.
So, if we replace m by 74.2, s by 5.3083, n by 10 and
by 1.8331, we get that the 90% confidence interval for the mean speed is:
≤ μ ≤ 
74.2 - 3.077 ≤ μ ≤ 74.2 + 3.077
71.123 ≤ μ ≤ 77.277
8/9 - 2/3 = 8/9 - 6/9 = 2/9 of a pound left
She had 8/9 of a pound of birdseed to begin with. She used 2/3 of a pound of birdseed into her feeders. You have to get a common denominator, would be 9 and when you subtract what she used from what she had you get 2/9 of a pound of birdseed left.