For each part, compare distributions (1) and (2) based on their medians and IQRs. The reasoning is explained is given.
What is median?The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data point. To find the median, firstly arrange the data points in ascending order.
The middle number in the distribution of the provided data is known as the median. The range of values in the center of the scores is known as the interquartile range, or IQR.
(a). (1) 3, 5, 6, 7, 9 (2) 3, 5, 6, 7, 20
Since all the values are identical except the highest, the distributions' median and IQR will be equal.
(b). (1) 3, 5, 6, 7, 9 (2) 3, 5, 7, 8, 9
The median is higher for the second distribution because in the case of (2) the middle number is larger.
Since the final few digits in the second distribution are higher, the IQR would be wider for the second distribution, resulting in a greater third quartile for the second distribution than the first distribution.
(c). (1) 1, 2, 3, 4, 5 (2) 6, 7, 8, 9, 10
Given that every number in the second distribution is greater than every other number in the first distribution, the median of the second distribution is higher than that of the first distribution.
Since there are the same number of items in both distributions and each number in both distributions is 1 larger than the preceding number, the IQR of both distributions would be identical.
(d). (1) 0, 10, 50, 60, 100 (2) 0, 100, 500, 600, 1000
Since all the values in the second distribution are higher than those in the first in this situation, the second distribution will have a higher median. Given that the spread of the numbers is wider in the second distribution than it is in the first, the second distribution will likewise have a higher IQR.
Therefore, the reasoning is explained.
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solve for n.
1.) 7.26 × 0.22=n
2.) 17.92 × 0.64=n
3.) 7.65 × 0.65=n
4.) 36.20 × 0.05=n
5.) 31.86 × 0.92=n
Answer:
1.) 1.5972
2.) 11.4688
3.) 4.9725
4.) 1.81
5.) 29.3112
WILL GIVE BRAINLIEST!!!!
3. The nth term of a Sequence is given by an =
n/n+2
If the Domain of the Sequence is {1,2,3,4,5} choose the correct range of the Sequence
Answer:
answer b :) i hope this helps
A significance test is conducted for which the alternative hypothesis states that more than 85 percent of adult sea turtles on a certain beach are female. The p-value for the test is 0.4158. If the null hypothesis is true, which of the following statements is a correct interpretation of the p-value?
a. Of all possible samples of the same size, 41.58 percent will result in 85 percent of adult sea turtles on the beach being female.
b. Of all possible samples of the same size, 41.58 percent will result in 85 percent or more of adult sea turtles on the beach being female.
c. Of all possible samples of the same size, 41.58 percent will result in 85 percent or less of adult sea turtles on the beach being female.
d. Of all possible samples of the same size, 20.79 percent will result in 85 percent or more of adult sea turtles on the beach being female.
e. Of all possible samples of the same size, 20.79 percent will result in 85 percent of adult sea turtles on the beach being female.
Answer:
d. Of all possible samples of the same size, 20.79 percent will result in 85 percent of adult sea turtles on the beach being females.
Step-by-step explanation:
Hypothesis testing is conducted to test an observation against the null hypothesis. P-value is calculated to determine whether to accept or reject the null hypothesis. In the given case the p-value is 0.4158 which means null hypothesis is true.
what is the answer ?
Answer: cot
Step-by-step explanation: cos
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sin
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cos
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Combine
cos
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cos
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and
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cos
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sin
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Convert from
cos
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sin
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cos
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sin
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to
cot
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cot
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cot
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Find the area of the triangle
The area is =
(Simplify your answer)
Answer:
52.5 yd²
Step-by-step explanation:
1/2(10)(10.5)=52.5
4x^2-19x-5=0
Solve by factoring
Answer:
x= −1/4 or x = 5
Step-by-step explanation:
Step 1: Factor left side of equation.
(4x+1)(x−5)=0
Step 2: Set factors equal to 0.
4x+1=0 or x−5=0
Answer:
x= −1/4 or x = 5
The factored form of the equation 4x²- 19x - 5 = 0 is (4x+1)(x-5).
The given equation is 4x²- 19x - 5 = 0.
To factor the quadratic expression on the left-hand side into two binomials.
The binomial factors will have the form (ax + b)(cx + d).
We need to find two numbers whose product is equal to ac (the coefficient of x² term) multiplied by d (the constant term), which is (4)(-5) = -20, and whose sum is equal to the coefficient of the x term, -19.
After considering different factor pairs of -20, we find that -20 and +1 satisfy the requirements.
(4x² - 20x) + (x - 5) = 0.
4x(x - 5) + (x - 5) = 0.
(4x+1)(x-5)=0
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find the highest common factor using prime factorization for 27y and 54y³
Given:
27y and 54y³
To find:
The highest common factor (HCF) using prime factorization.
Solution:
We have,
27y and 54y³
Using the prime factorization, we get
[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]
[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]
Now, the common prime factors are 3, 3, 3 and y. So,
[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]
[tex]HCF=27y[/tex]
Therefore, the highest common factor of the given terms is 27y.
Charles has his teammates how many hours they practice swimming during the week he recorded his data in the table below and use the shaded columns to calculate the three sample means what is the range of values for the
Answer:
B or 2, I took this test.
Step-by-step explanation:
Answer: B
Step-by-step explanation: 2
You enter an elevator and go down 7 floors you exit on the 10th floor. Write an equation you can use to find the floor where you entered the elevator
A meter is 100 centimeters. How many
meters are equal to 712 centimeters?
Answer:
100×712 is equal to 71200
so the equality of 712 is 71200
Answer:
7.12 meters
Step-by-step explanation:
So 1 meter = 100 centimeter
To find how many meters are in 712 centimeters, you have to divide 712 by 100.
[tex]\frac{712}{100} = 7.12[/tex]
Therefore, 7.12 meters is equal to 712 centimeters.
Hope this helps!!
- Kay :)
Simplify the following expression 2x+1+7x
Answer:
9x + 1
Step-by-step explanation:
2x + 1 + 7x
= 9x + 1
Answer:
2x+1+7x
2x+7x=-1
9x=-1
x=-1/9
Step-by-step explanation:
collect the like terms then add
take 1 to the other side it will be negative
then divide by nine in fraction form it will be -1/9
Simplify: 7^6 divided 7^2
Answer:
The answer is 1/3
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
~Hoped this helped~
What is the measure of EACH exterior angle for this regular octagon?
360
45
1080
135
Answer:
Exterior angle = 45° each
Step-by-step explanation:
Given:
Number of side n = 8
Find:
Exterior angle
Computation:
Exterior angle =360° / n.
Exterior angle =360° / 8
Exterior angle = 45° each
2, 3,6
Write the fact family formed by these numbers.
Answer:
♀️
Step-by-step explanation:
villian
Answer:
2, 3, and 6:
2 X 3 = 6,
3 X 2 = 6,
6 � 2 = 3
6 � 3 = 2.
Hope it helps
Please mark me as the brainliest
Thank you
An angle measures 9.4° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
x = one angle
90 - x = complementary angle {complementary angles add up to 90�}
x = 90 - x + 86 {one angle is 86� more than its complementary angle}
x = -x + 176 {combined like terms on right}
2x = 176 {added x to each side}
x = 88 {divided each side by 2}
90 - x = 2 {substituted 88, in for x, into 90 - x}
one angle is 88�
the complementary angle is 2�
Step-by-step explanation:
Please help I really need help please ans thank you
Answer:
see below
Step-by-step explanation:
x = 63 and y = 27
180 - 117 Gives 63
Answer:
x=63
y=27...............
does the table represent a proportional relationship?
x 3 6 9 12
y 7 13 19 25
Answer:
x does y does not
Step-by-step explanation:
Four crayons are packaged in a row, three primary colors are touching. If neither is red or blue, which crayon is first
Answer:
yellow
Step-by-step explanation:
Simplify the expression 2(10) + 2(x-4)
Answer:
Hello! :) have a good day!
2x + 12
Answer:
First: Multiply the numbers
2 x 10 + 2 (x -4)
20+2(x-4)
Secondly: Distribute
20+2(x-4)=
20 + 2x - 8
Thirdly: Subtract the numbers
20 + 2x - 8=
12 + 2x
Lastly: Rearrange terms
12 + 2x
2x + 12
And that would leave us with our answer 2x + 12!
x + 5 x < -2 4 – x2 -2
x2 < −6x − 26
x < -x2/6 - 13/3
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H is the midpoint of IJ and IH = 0.75 find HJ
If 84 of the 224 participants in club activities are nonresidents what is the ratio of residents to nonresidents who participate in club activities
Answer:
5:3
Step-by-step explanation:
140:84 =
35:21 =
5:3
Hope that helps! (If you're up for it, can you give me a brainliest? Thanks)
The ratio is 5:3
What is ratio?A ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.
Given:
Total participants= 224
nonresidents =84
So, residents= 224-84 = 140
Now, ratio of residents to nonresidents
=140/84
=70/42
=10/6
=5/3
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What is 1/7 divided by -2 and 2/3
Answer:
Step-by-step explanation:
1/7 divided by -2 2/3
= 1/7 divided by -8/3 (changed the mixed number to an improper fraction!)
= 1/7 MULTIPLIED by -3/8 (when you divide a fraction, you must switch the sign opposite to what you are doing, in this case dividing, so the opposite of that is multiplying. You also flip the fraction that you are dividing by so -8/3 becomes -3/8)
= -3/56 (a positive times a negative number will result in a negative number!)
I hope this helps, if this is wrong, please specify so I can help :)
In rectangle ABCE, AC is the diagonal. BD⟂AC at O. AB = 13, OA=5. Find the length of OD and OB
plz answer with explanation
Answer:
ABCD is a parallelogram. The diagonals AC and BD intersect at O. If AB = 6 cm, = AC = 11 cm and BO =3.5 cm what is the length of AD?
The diagonals AC and BD bisect each other, therefore AO = OC = 5.5 cm.
The area of triangle AOB = COD = [s(s-a)(s-b)(s-c)]^0.5
Here a = 6, b = 5.5, c = 3.5, so 2s = 15 or s = 7.5. So
[s(s-a)(s-b)(s-c)]^0.5 = [7.5(7.5–6)(7.5–5.5)(7.5–3.5)]^0.5
= [7.5*1.5*2*4]^0.5
= 90^0.5 sq cm
Area of triangle ADC = 2 x area of triangle AOB = 2*90^0.5 sq cm, or
2*90^0.5 = [(s1(s1-p)(s1-q)(s1-r)]^2, squaring both sides we get
4*90 = [s1(s1-p)(s1-q)(s1-r)]
360 = s1(s1–11)(s1–6)(s1-AD) … (1)
2s1 = AD + 11 + 6 = AD + 17, or
s1 = 8.5 + 0.5AD … (2). Put the value of s1 from (2) in (1) to get
360 = (8.5 + 0.5AD)(8.5 + 0.5AD-11)(8.5 + 0.5AD-6)(8.5 + 0.5AD-AD)
360 = (8.5 + 0.5AD)(0.5AD-2.5)(0.5AD+2.5)(8.5 - 0.5AD)
360 = (8.5^2 - 0.5AD^2)(0.25AD^2–6.25)
= - (8.5^2 - 0.5AD^2)(6.25 - 0.25AD^2)
= - (72.25 -0.5AD^2)(6.25 - 0.25AD^2)
360 = - [451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3], or
-360 = 451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3, or
0.125AD^3 - 21.1875 AD^2 + 451.5625 + 360 = 0, or
0.125AD^3 - 21.1875 AD^2 + 811.5625 = 0, or
AD^3 - 168.5 AD^2 + 6492.5 = 0, or
By trial and error, AD = 6.3272
Check: AD^3 - 168.5 AD^2 + 6492.5
6.3272^3 - 168.5*6.3272^2 + 6492.5
253.3- 6745.6 + 6492.5 = 0.2 as against 0
Hence AD = 6.3272 cm.
Answer:
Assuming you really mean the rectangle is ABCD, not ABDE:
Since DB is perpendicular to AC, it must be square.
If OA = 5, then OB = OC = OD = 5
This isn't possible because the triangle made by ABO would be a right triangle and AO^2 + BO^2 would equal AB^2. It does not.
5^2 + 5^2 =AB^2 = 7.07, not 13
I NEEDS SOME HELP PLS WITH THESE TWO QUESTIONS
♀️
Megan’s TV had a base price of $189 and the sales tax was 6.88%. Over the next four years, the TV consumed an average of $0.06 of electricity every day. It also needed repairs twice, costing $29 each time. After four years, Megan got a new TV. What was the lifetime cost of Megan’s TV? (Remember that one in every four years is a leap year.)
a.
$357.68
b.
$318.66
c.
$347.66
d.
$351.65
Answer:
Step-by-step explanation:
price of tv and sales tax = 1.0688×$189 = $202.0032 ≅ $202.00
4 years = 3×365 days + 366 days = 1461 days
cost of electricity = 1461 days × $0.06/day = $87.66
lifetime cost = purchase price + electricity + repairs
= $202.00 + $87.66 + 2·$29
= $347.66
Answer:
347.66 is your answer
Step-by-step explanation:
glad to help btw the answer is on edge 2021.
Solve y - 7= 3.
y =?
Answer:
y = 10
Step-by-step explanation:
y - 7= 3
Add 7 to each side
y-7+7 = 3+7
y = 10
Answer:
y = 10
Step-by-step explanation:
y - 7 = 3
y = 7 + 3
y = 10
Hope that helps!
A student is given three triangles and must determine which triangles are congruent. The student is also told that ∠B = ∠D = ∠Y. Which of the following statements is true?
Answer:
should i do all the questions?
Do any of you know how to rewrite the equation
X+y=3
Into something where it has x= or y= instead of it =3?? I have to graph it on a graph but don’t know how to do it with the equation set up like this.
help please!!! thanks
Answer:
27
Step-by-step explanation:
first we can simplify by dividing by r
[tex] \frac{9 {r}^{2} }{r} = \frac{9 \times r \times r}{r} = 9 \times r \times 1 = 9r[/tex]
the r on the bottom of the fraction will cancel out one of the r's on top, this happens because anything divided by itself is 1, thus r divided by r is 1
finally we can evaluate when r =3,
9r = 9(3) = 27
