Answer:
p = 16
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
24p = 384 ( divide both sides by 24 )
p = 16
Answer:
3 1/3 is already in the simplest form. It can be written as 0.230769 in decimal form (rounded to 6 decimal places).
Have an awesome day! :D
Answer:
A) sample mean = $1.36 million
B) standard deviation = $0.9189 million
C) confidence interval = ($1.93 million , $0.79 million)
*since the sample size is very small, the confidence interval is not valid.
Step-by-step explanation:
samples:
- $2.7 million
- $2.4 million
- $2.2 million
- $2 million
- $1.5 million
- $1.5 million
- $0.5 million
- $0.5 million
- $0.2 million
- $0.1 million
sample mean = $1.36 million
the standard deviation:
- $2.7 million - $1.36 million = 1.34² = 1.7956
- $2.4 million - $1.36 million = 1.04² = 1.0816
- $2.2 million - $1.36 million = 0.84² = 0.7056
- $2 million - $1.36 million = 0.64² = 0.4096
- $1.5 million - $1.36 million = 0.14² = 0.0196
- $1.5 million - $1.36 million = 0.14² = 0.0196
- $0.5 million - $1.36 million = -0.86² = 0.7396
- $0.5 million - $1.36 million = -0.86² = 0.7396
- $0.2 million - $1.36 million = -1.16² = 1.3456
- $0.1 million - $1.36 million = -1.26² = 1.5876
- total $8.444 million / 10 = $0.8444 million
standard deviation = √0.8444 = 0.9189
95% confidence interval = mean +/- 1.96 standard deviations/√n:
$1.36 million + [(1.96 x $0.9189 million)/√10] = $1.36 million + $0.57 million = $1.93 million
$1.36 million - $0.57 million = $0.79 million
Answer:
Step-by-step explanation:
You need to solve the area sector of the bigger circle. Since we now the length of sector is 270, we can set up an equation.
Length of sector DC = 2
r
270 = 2(8+OA) *(8+OA is the raidus of the bigger circle/sector)*
270/2 = 8 + OA (division)
135/ -8 = OA
135/ -8 = OB (because OA and OB are the raidus of the same circle, so they are congruent)
I hope this helps you! Please correct me if you see a miscalculation <3<3
Considering it's concept, it is found that the number of outcomes in the sample space is of 9.
<h3>What is the sample space of an experiment?</h3>
The sample space is the <u>set that contains all possible outcomes for an experiment</u>.
In this problem, there are 2 trials, each with 3 possible outcomes(red, blue or green), hence the <u>number of possible outcomes</u> is given by:
N = 3² = 9.
More can be learned about sample spaces at brainly.com/question/25861936
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