By adding 6, the next number should be 158
Ok so this is a difference of 2 perfect squares
1=1^2
49c^2=(7c)^2
to factor you remember
a^2-b^2=(a+b)(a-b) so
1^2-(7c)^2=(1+7c)(1-7c)
So it's asking you to create an expression on how much you spent.
So you have already spent $30 on a DVD and $20 for a CD. And we don't know how much the videos are so that is x.
Your equation is going to be something like 30+20+5x but since it says it wants it in simplest form it's going to be 50+5x or 5x+50 either way that will be your equation answer. The reason it's that equation is because we know how much you spent already which is 50 and since you bought 5 videos of an unknown number that's how you get 5x.
50+5x
16 : 80
x : 100
Cross multiply.
80× = 100×16
× = 100 × 16 /80
× = 20 grams.
His allowance is 20g of saturated fat.
Answer:
And we can find this probability using the complement rule and with the normal standard table or excel:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the average household spent of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and with the normal standard table or excel: