Answer:
4(x+x+1+x+2)=156, x=12
Step-by-step explanation:
let the numbers be x, x+1 and x+2.
Now,
4(x+x+1+x+2)=156
4(3x+3)=156
divide both side by 4
3x+3=156/4=39
subtract 3 from both sides
3x=39-3
3x=36
divide both sides by 3
x=36/3=12
x=12
Hence, the smallest of the integers is 12.
Answer:
a) The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.
b) 
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 = 7 - 1 = 6
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.4469, and the answer to question b is
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 1.4 - 0.21 = 1.19 pounds.
The upper end of the interval is the sample mean added to M. So it is 1.4 + 0.21 = 1.61 pounds.
The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.
Answer:
Step-by-step explanation:
6x+14=50
(6x is hourly wage, x being the hours, 14 is the amount he started with, and 50 is what he needs)
6x=36
x=6 hours
Answer:
- <u>Quantitative.</u>
- <u>Discrete.</u>
- <u>Interval Scale.</u>
Step-by-step explanation:
- The IQ scores are measured numerically. This makes it quantitative data. Quantitative data provide numerical measures which can be used to perform arithmetric operations such as addition, subtraction, multiplication and division. Results from these kind of data can be used to provide meaningful and explanatory results to certain phenomena.
- IQ scores are discrete because they are always expressed as integers. that is in whole numbers and not in fractions e.g 100, 120, 60.
- The level of measurement is on an interval scale because the difference between values have meanings. Larger values mean higher IQ. for example, the difference in IQ numbers between two people for represents something real.
Answer:
120km
Step-by-step explanation:
10km in 15 min
3hrs = 3 x 60 min = 180 min
180min divided by 15min = 12
12 x 10km = 120 km
