Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
118, 124, 108, 116, 99, 125, 138, 118, 119, 121, 65, 130, 120
Ordered data:
65, 99, 108, 116, 118, 118, 119, 120, 121, 124, 125, 130, 138
1.)
90th percentile :
0.9(n + 1)th term
n = sample size = 13
0.9(14) th term
= 12.6th term
= (12 + 13)th / 2
= (130 + 138) / 2
= 134
Third quartile (Q3) = 75th percentile
0.75(n + 1)th term
n = sample size = 13
0.75(14) th term
= 10.5th term
= (10 + 11)th / 2
= (124 + 125) / 2
= 124.5
What is the first quartile?
First quartile (Q1) :
0.25(n + 1)th term
n = sample size = 13
0.25(14) th term
= 3.5th term
= (3 + 4)th / 2
= (108 + 116) / 2
= 112
(4) What is the 10th percentile?
0.1(n + 1)th term
n = sample size = 13
0.1(14) th term
= 1.4th term
= (1 + 2)th / 2
= (65 + 99) / 2
= 82
(5) 65tb percentile :
0.65(n + 1)th term
n = sample size = 13
0.65(14) th term
= 9.1th term
= (9 + 10)th / 2
= (121 + 124) / 2)
= 122.5
(6) What is the IQR?
Q3 - Q1
124.5 - 112
= 12.5
(7) What are the lower and upper limits?
Maximum = 138
Minimum = 65
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Given that the two parallel lines are crossed by a transversal line.
Given that
m∠2 = 2x + 54 and m∠6 = 6x - 11
Angle ∠2 and ∠6 are corresponding angles.
Corresponding angles are congruent.
Thus,
m∠2 = m∠6
2x + 54 = 6x - 11
flipe the equation
6x - 11 = 2x + 54
subtract 2x from both sides
6x - 2x - 11 = 2x - 2x + 54
4x - 11 = 54
adding 11 to both sides
4x - 11 + 11 = 54 + 11
4x = 65
dvide both sides by 4
4x/4 = 65/4
x = 16.2500 (round to 4 decimal places)
Part b)
We have already determined
x = 16.2500
Given
m∠2 = 2x + 54
substitute x = 16.2500 in the euation
= 2(16.2500) + 54
= 86.5°
As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.
i.e.
m∠1 + m∠2 = 180°
substituting m∠2 = 86.5° in the equation
m∠1 + 86.5° = 180°
subtracting 86.5° from both sides
m∠1 + 86.5° - 86.5° = 180° - 86.5°
m∠1 = 93.5°
Therefore, the measure of angle m∠1 is:
Answer:
x = 9
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
50° is an exterior angle of the triangle, thus
38 + 4x - 24 = 50 , that is
14 + 4x = 50 ( subtract 14 from both sides )
4x = 36 ( divide both sides by 4 )
x = 9
Option C: 600 shares worth $16.67 each is the correct answer
Step-by-step explanation:
In the share market, a 2 to 3 split(mentioned in the question) means that the share holders get one half of already owned shares and the price of each share declines by one-third.
Given
Jim's shares = s = 400
Price per share =p = $25
First of all we will calculate the new shares:
Let sn be the number of new shares
As explained above
Now the news price will be:
The new number of shares will be 600 and the price of each share will be: $16.67
Hence,
Option C: 600 shares worth $16.67 each is the correct answer
Keywords: Shares, 2-to-3 split
Learn more about stock exchange at:
#LearnwithBrainly
well, Marcus and Ben are both 5 feet tall and a little bit more, Marcus is 19/24 more and Ben is 9/16 more, so the 5's in the fraction are the same, so which one is larger, 19/24 or 9/16?
we can simply put both fractions with the same denominator, by <u>multiplying one by the other's denominator</u>, so let's proceed,
