Caden answered 84% of the questions on her science test correctly. If she answered 21 questions correctly, how many questions were on the test? A
25
B
26
C
27
D
28
The picture below shows a pole and its shadow: What is the height of the pole? A.196 B.244 C.388 D.364
Answer: 364
Stepbystep explanation: a^2+b^2=c^2
27^2+b^2=365^2
729+b=133,225

729 cancel that out then
133,225

729
————
132,496 squared~ 364
5 = b  2.3 what is the neutral number for b
Answer:
2.7
Stepbystep explanation:
The following data were collected from 12 rain gauges in a park. Build a 95% CI for the mean rainfall at the park. 4.65 3.89 2.73 4.35 3.80 4.86 4.33 4.37 4.76 4.05 3.05 3.87
1. Copy the data and paste into Excel. If you use Paste>Paste Special>Text, it should appear in a column.
2. Compute the sample mean and sample standard deviation. Use the function wizard or type =AVERAGE(Data range) and =STDEV.S(Data Range)
3. Find the critical value t* Use the formula for a CI to find upper and lower endpoints
Answer:
Critical values:
95% confidence interval would be given by (3.646;4.472)
Stepbystep explanation:
1) Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
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 data is:
4.65 3.89 2.73 4.35 3.80 4.86 4.33 4.37 4.76 4.05 3.05 3.87
2) Compute the sample mean and sample standard deviation.
In order to calculate the mean and the sample deviation we need to have on mind the following formulas:
=AVERAGE(4.65,3.89,2.73, 4.35, 3.8, 4.86, 4.33, 4.37, 4.76, 4.05, 3.05, 3.87)
On this case the average is
=STDEV.S(4.65,3.89,2.73, 4.35, 3.8, 4.86, 4.33, 4.37, 4.76, 4.05, 3.05, 3.87)
The sample standard deviation obtained was s=0.6503
3) Find the critical value t* Use the formula for a CI to find upper and lower endpoints
In order to find the critical value we need to take in count that our sample size n =12
How is a parallelogram different than a rhombus?????
Add (8  i) + (5 + 4i )
Answer:
13 + 3i
Stepbystep explanation:
Given
(8  i) + (5 + 4i) ← remove the parenthesis
= 8  i + 5 + 4i ← collect like terms
= 13 + 3i
7/8k = 21 what number is k?
2,605 people at a basketball game. Rounded to the nearest hundred
The neck length was recorded for 5 different giraffes.each measurement has been rounded to the nearest 1/2 foot .measuments:5 4 1/2 6 5 6 1/2 . How much longer are the two longest necks than the two shortest necks?
Answer:
Answer: Difference between two longest and two shortest necks is 3 foot.
Stepbystep explanation:
Five giraffes having five different neck lengths as
Giraffe (1) = 5 foot
Giraffe (2) = 4.5 foot
Giraffe (3) = 6 foot
Giraffe (4) = 5 foot
Giraffe (5) = 6.5 foot
Now in the given question difference between two longest necks and two shortest necks were asked.
So total length of tow necks are Giraffe(3)+Giraffe(5)= 6+6.5 = 12.5 foot
Now total length of two shortest necks are Giraffe(2)+Giraffe(1) or Giraffe(4)= 4.5+5 = 9.5 foot
Difference between two longest and two shortest necks will be = 12.59.5 =3 foot.