Answer: C. All the points in the preimage are shifted in the same distance.
Translations is one of the rigid transformations known in geometry. It simply refers to the copying of an image possessing the exact qualities on that of the original image. Thus, all the points in the preimage are shifted in the same distance.
All you have to do is this, area = Base * height or B*H so now you all you do is, 90*25 = 2250 then since 10 more yd is put on all you do is 2250 = 1400 yd.
Answer: 39 years old
Step-by-step explanation:
First find Sarah's age.
It is said that their ages sum up to 50 and that Sarah's mother is 28 years older than Sarah.
Assume Sarah's age is x.
Sarah's mother's age would be: x + 28.
The expression would therefore be:
x + (x + 28) = 50
2x + 28 = 50
2x = 50 - 28
x = 22/2
x = 11
Sarah is 11 which means her mom is:
= 11 + 28
= 39 years old
3/6. 5/8. 2/3. 7/10. 9/12. 5/6
Answer:
Step-by-step explanation:
1) Data given
represent the population proportion of complaints settled for new car dealers
represent the sample of complaints involving new car dealers.
2) Find the distribution of
First we can begin with the expected value
and that represent the mean
Now we can find the variance for
When we use a proportion p, when we draw n items each from a Bernoulli distribution. The variance of each Xi distribution is p(1−p) and hence the standard error is p(1−p)/n. for this reason the variance for is given by:
So then the deviation would be given by:
The sample distribution of the sample proportion is normal, so then we have this:
3) Calculating the mean and standard deviation
We can replace the values given in order to find the mean and deviation: