Since there is no number greater or less than the above one, it doesn't contain any outlier.
The given data set is
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
What is variance?The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.
(a) Sample Mean = The Sum of the given terms/Number of terms
So, sample mean as µ=17.954
Variance can be denoted by [tex]s^2= \frac{1}{50-1} \Sigma_{n=1} (x_{i}-19.954)^2[/tex]
=9.97
Standard deviation s=√9.97
=3.16
b) The standard error can be denoted by:
s/√n-1 = 3.16/√49
=0.45
c) For the given data,
The value of the least sample number =12.0
The value of the greatest number in sample=24.1
So, Q1=15.83
Median =17.75
Q3=19.88
d) The IQ range would be as follows:
Q3-Q1=19.88-17.75
=4.05
The outlier must be greater than 19.88+1.5(4.05)=25.96 or less than 15.83+1.5(4.05)=9.76.
Since there is no number greater or less than the above one, it doesn't contain any outlier.
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During the NCAA basketball tournament season, affectionately called March Madness, part of one team's strategy is to foul their opponent if his free-throw shooting percentage is lower than his two-point field goal percentage. Juan's free-throw shooting percentage is lower and is only 53.5%. After being fouled he gets two free-throw shots each worth one point. Calculate the expected value of the number of points Juan makes when he shoots two free-throw shots.
Using the binomial distribution, the expected value of the number of points Juan makes when he shoots two free-throw shots is 1.07.
For each shot, there are only two possible outcomes, either Juan makes it, or he misses it. The probability of making a shot is independent of any other shot, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability, and the expected value is:
[tex]E(X) = np[/tex]
In this problem:
Two shots, hence [tex]n = 2[/tex]He makes 53.5% of the shots, hence [tex]p = 0.535[/tex].Then:
[tex]E(X) = np = 2(0.535) = 1.07[/tex]
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Help pleaseeeeeeee asapplpl
Answer:
the graph is incorrect first u correct this
What should be done to both sides of the equation in order to solve -5m = -40?
A. Multiply by -5.
B. Divide by -5.
C. Multiply by -40.
D. Divide by -40.
Answer:
B.Divide by -5
Step-by-step explanation:
-5m= -40
divide bothe sides by -5
m= -40/-5
m= 8
Kelly worked on a straight 8 % commission. Her friend worked on a salary of $850 plus a 6% commission. In a particular month, they both sold $21,700 worth of
merchandise
Step 1 of 2: How much did Kelly earn for this month? Follow the problem-solving process and round your answer to the nearest cent, if necessary.
The total amount of money Kelly earned for the month is $1,736
Commission refers to a sum of money paid to a salesperson for every sale that he or she makes. It is usually a percentage of the total sales.Given:
Kelly
Worth of goods sold = $21,700
commission = 8%
Total earned = 8% of $21,700
= 8/100 × 21,700
= 0.08 × 21,700
= $1,736
Approximately, $1,736.00
Therefore, the amount of money Kelly earned for this month is $1,736
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If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?
Answer:
33.33%
Step-by-step explanation:
4. Suppose you have a map of Charlotte where 2
inches equals 4 miles. On the map, the distance
from your house to school if 3.5 inches. How
many miles is this?
A force of 56N is required to keep a spring stretched 4m from the equilibrium position. How much work in Joules is done to stretch the spring 8m from equilibrium? Round your answer to the nearest hundredth if necessary.
Please check the attached images for the answer. Answer with full explanation is screenshoted. Plz refer.
Thanks ☺️
Hope it helps you.
y>-1/3x+2 x<4 how to solve the system of inequalities by graphing.
Answer:
See belowStep-by-step explanation:
1. Graph each inequality2. Take the intersection of shaded regions as solutionAttached each inequality separately and the solution showing the intersection below.
y > -1/3x + 2
Find the x - and y - intercepts, connect them with dotted line, shade the area above the linex < 4
Draw a dotted line x = 4, shade the area to the left of the lineWrite each value in standard form.
1. 507 thousandths
2. 5 and 6 thousandths
3. 9 and 62 thousandths
Answer:
1. 0.507
2. 5.006
3. 9.062
Step-by-step explanation:
If a value has “thousandths” in the question, the decimal place goes 4 places to the left: ex. 0.007.
At gym A is 76.50 for 8.5 hours. At gym B cost is 10.50 for 3/4 hours which plan of offers the best deal
Please help!
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
Answer:
it would be c because its moved 2x up
Step-by-step explanation:
the holiday season,
13 homes on a certain street displayed lights and
8 displayed lawn ornaments. Five of the homes
displayed both lights and lawn ornaments. If there
are 32 homes on the street, how many had no
decorations at all?
O
3-3 Venn Diagram Stations.pdf
One angle of the following triangle measures 2x. How many degrees does that angle
2x
X+15
2x+10
Given info:- In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.
Explanation:-
Let the angles be 2x, x+15 and 2x+10 respectively.
∵ Sum of the three angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]
→2x + x+15 + 2x+10 = 180°
→ 2x + x + 2x + 15 + 10 = 180°
→ 3x + 2x + 15 + 10 = 180°
→ 5x + 15 + 10 = 180°
→ 5x + 25 = 180°
→ 5x = 180°-25
→ 5x = 155°
→ x = 155°÷5 = 155/5 = 31.
Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.
∴ ∠A = 2x = 2(31) = 62°
∠B = x+15 = 31 + 15 = 46°
∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.
What is two divided by one thousand two hundred and twenty eight
Answer 1/614
Step-by-step explanation:
Suppose that a risk-free investment will make three future payments of $250 in 1 year, $250 in 2 years, and $250 in 3 years. Instructions: Round your answers to 2 decimal places. a. If the Federal Reserve has set the risk-free interest rate at 4 percent, what is the proper current price of this investment? $ b. What is the price of this investment if the Federal Reserve raises the risk-free interest rate to 6 percent? $
Answer:
la théorie des plaques est
The total present value will be $693.75
The total present value will be $668.23
What is Future Value?Future value is the value of an asset or investment as of some future date. In other words, the future value is the sum of money that an investment will be worth, assuming a certain rate of return, after a specific amount of time (interest rate).
First, i= 4/100 = 0.04
n= 1, 2, 3
Amount= $250
So, Present Value = 250/ (1 + 0.04) + 250/ (1 + 0.04)² + 250/ (1 + 0.04)³
= 250/ 1.04 + 250/ 1.04² + 250/ 1.04³
= 240. 38 + 231.13 + 222.24
= $693.75
So, The total present value will be $693.75
Second, i= 6/100 = 0.06
n= 1, 2, 3
Amount= $250
So, Present Value = 250/ (1 + 0.06) + 250/ (1 + 0.06)² + 250/ (1 + 0.06)³
= 250/ 1.06 + 250/ 1.06² + 250/ 1.06³
= 235. 84 + 222.49 + 209.90
= $668.23
So, The total present value will be $668.23
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Suppose a jar contains 17 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.
The probability that both are red marbles = [tex]\bold{\frac{17}{147} }[/tex]
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
For given example,
A jar contains 17 red marbles and 32 blue marbles.
If we pull out 2 marbles at random, we need to find the probability that both are red.
The number of possible outcomes,
[tex]\Rightarrow n(S)=^{49}C_2\\\\ \Rightarrow n(S)=\frac{49!}{2!(49-2)!}\\\\ \Rightarrow n(S)=1176[/tex]
The number of possible outcomes of selecting both the red marbles.
[tex]\Rightarrow n(A)=^{17}C_2\\\\ \Rightarrow n(A)=\frac{17!}{2!(17-2)!}\\\\ \Rightarrow n(A)=136[/tex]
The probability that both the marbles are red,
[tex]\Rightarrow P(A)=\frac{n(A)}{n(S)}\\\\ \Rightarrow P(A)=\frac{136}{1176}\\\\ \Rightarrow P(A)=\frac{17}{147}[/tex]
Therefore, the probability that both are red marbles = [tex]\bold{\frac{17}{147} }[/tex]
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what is the slope and the y intercept of y= -9x + 15
Answer:
Step-by-step explanation:
the slope for y = -9x + 15
Slope: -9
y-intercept: y= -9(0) + 15 = 0 + 15 = 15
(0, 15)
Answer:
-9
(0, 15)
Step-by-step explanation:
y = mx + c
y = -9x + 15
so m = -9
y intercept is when x = 0
c = 15
(0, 15)
10 times 10 times 100 divded by 1 times that again 10000
Answer:
100,000,000
Step-by-step explanation:
If 2 pizzas cost $16, how much do 4 pizzas cost?
Answer:
$32
Step-by-step explanation:
$16/2 pizzas = $8 per pizza
($8)(4)=$32
Answer:
$32
Step-by-step explanation:
16/2 is 8. So each pizza costs exactly 8 dollars. You have to do 4x8 which is 32
no link no bot right please
Answer:
2143.57 cm^3
Step-by-step explanation:
the formula for the volume of a sphere is (4/3)pi*r^3. plug 8cm in for r to get (4/3)*3.14*8^3=2143.57
Adam And Eve had 32 apple in 8 barrels how many would they have in all?
Answer:
Adam and Eve will have 4 apples in each barrel
Step-by-step explanation:
32/8
= 4
Which graph represents the function y = 2x - 4?
ТУ
2
2
.
4
X +
x
-4 -3 -2 -1
X
TO
O
-3 -2 -1
2.34
Answer:
the third graph.
the one where x intercept with 2
Step-by-step explanation:
2x-4=0
2x=4
x=2
therefore the graph should have a line that have a x-intercept of 2
Help help
Help help help help help
Answer:
It equals 1.66666666666...
But you can round it to 1.7 if your rounding to the nearest tenth.
What is revolving credit?
A. Credit that provides a set amount of money for a specific purpose
B. Credit that is automatically renewed as debts are paid
C. Credit that requires users to pay a high interest rate
D. Credit that is issued by a financial institution other than a bank
Answer:
B. Credit that is automatically renewed as debts are paid
Hope this helps :)
If two corresponding angles in a triangle are congruent, the triangles are congruent.
True
False
Answer:
False
Step-by-step explanation:
All angles and all sides have to be congruent.
I hope this helps!!
Hey thank you for helping me
Answer:
0
Step-by-step explanation:
anything that is divided by 0 makes 0
have a good day!
Answer:
D Undefinited
Step-by-step explanation:
(-6 * 3)/0=
-18 * 0 =
-0
A. Determine the value of each function
1. For p(x)=-2x + 5, determine:
a. p(5)
b. p(0)
c. p(-1/2)
Answer:
a= -5
b=5
c=6
substitue each value as x
Compare:
5/14 11/18
.
>
<
=
Answer:
<
Step-by-step explanation:
hope this helps <33
I have 4 groups . After I dived Ed them into groups there were 6 groups 0f 4 and 1 group of 3. How many students were in the class ? Show all your work.
Answer: 27 students
Step-by-step explanation: 6 x 4 = 24
24 + 3 = 27
Answer:
27 Students in the class
Step-by-step explanation:
First we have to find out how many people are in the 6 groups of 4. 6x4=24
And of course 1 group of 3 people. Add them together to get 27 people.
24+3=27
pls pls pls help!!!!
Determine the simple interest earned when $6, 100 is invested at a rate of 5% for 4 years.
$1,220
$305
$610
$1,525
Answer: I think A 1,220 (I'm not sure)
Step-by-step explanation:
the aswer is A.1,220 si think si correct.