What is the product of the binomials
2 answers:
Answer:
Step-by-step explanation:
You can use f.o.i.l, or the box method.
I have drawn a picture for you to show the box method if you didn't know so. To add on to the picture, you need to combine these terms, and if there any like terms you combine them to get the simplified version.
You can combine -24xy and -2xy which will give you -26xy
So your final answer will be
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Answer:
- 90 km/h
- 180 km
Step-by-step explanation:
There are 1000 m in 1 km, and 3600 s in 1 h, so the speed conversion is ...
The car's speed is 90 km/h.
__
In 2 hours, the car will travel ...
distance = speed · time = (90 km/h)(2 h) = 180 km
Answer:
b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal Variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:
This means that:
The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:
This means that:
Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?
Shape is approximately normal.
Mean:
Standard deviation:
So the correct answer is given by option b.