Answer:
Are also equal
Step-by-step explanation:
Say triangle A has the angles 30 and 60. triangle b also has those angles. Total angle of any triangle is 180 so 180-60-30 = 90 for triangle A and it is also the same for triangle b. Thus 90 = 90 angles are the same.
Answer:
<em>793 food hampers were distributed</em>
Step-by-step explanation:
We need to find how many food hampers were distributed in a typical week, knowing that
- 200 hampers were distributed on Mondays
40 fewer hampers were distributed on Tuesdays than on Mondays, thus:
- 160 hampers were distributed on Tuesdays
on Wednesdays, the volume is 1.3 times Tuesday’s volume, thus 160*1.3=
- 208 hampers were distributed on Wednesdays
on Thursdays the number of hampers distributed was 3/4 of Monday’s volume, thus 3/4*200=
- 150 hampers were distributed on Thursdays
on Fridays, 50% of Thursday’s volume was distributed, therefore 50%*150=
- 75 hampers were distributed on Fridays
The total number of food hampers distributed in the week is
200+160+208+150+75=793
793 food hampers were distributed
Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean
and standard error 
In this problem:
- 1,190 adults were asked, hence
- In fact 62% of all adults favor balancing the budget over cutting taxes, hence
.
The mean and the standard error are given by:
The probability of a sample proportion of 0.59 or less is the <u>p-value of Z when X = 0.59</u>, hence:
By the Central Limit Theorem
has a p-value of 0.0166.
0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213
1/10 of 700 would be 700 would be 70 because 70 x 10 = 100 hope this helped
Easy
when rock is in water, it takes up a certain volume, say x
so
initial+x=final volume
luckily we have final and inital
13.7ml+x=28.9ml
minus 13.7ml both sides
x=15.2ml
the volme of the rock is 15.2ml
