Answer: Median = 5
=====================================================
Explanation
Given Table of Data
[tex]\begin{array}{|c|c|} \cline{1-2}\text{Size of the shoe} & \text{No. of pair sold}\\\cline{1-2}3 & 4\\\cline{1-2}4 & 18\\\cline{1-2}5 & 25\\\cline{1-2}6 & 12\\\cline{1-2}7 & 5\\\cline{1-2}8 & 1\\\cline{1-2}\end{array}[/tex]
The second column is the set of frequencies. Adding up those frequencies gets us
4+18+25+12+5+1 = 65
There are 65 total shoes.
Divide this in half
65/2 = 32.5
There are 32 values below the median, and 32 values above it. That's 32+32 = 64 values so far. When including the median value itself we have 32+1+32 = 65 values total. This only works when the sample size is odd.
---------------------------
What we'll do is add up the partial sums of the frequency values.
The goal is to get to a sum of 33, or larger, because the median is in the 33rd slot.
Adding the first two frequencies gets us 4+18 = 22. This is not 33 or larger, so we move on.
Adding the first three frequencies gets us 4+18+25 = 22+25 = 47 which is 33 or larger.
What this tells us is that the median corresponds to the third row of the table, since we added the first three frequencies to get to 33 or larger.
The median must be 5.
The equation of line c is y=–
7x+10. Line d is perpendicular to line c and passes through (7,4). What is the equation of line d?
Use distributive property to multiply the 3 in the expression 3(x−5)=12
Answer:
x = 9
Step-by-step explanation:
3(x - 5) = 12 ← distribute the parenthesis on the left by 3
3x - 15 = 12 ( add 15 to both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Which of the following may produce bias? Select all that apply.
The question uses an inaccurate tool.
Some subgroups may be at a disadvantage due to prior experiences.
A medical research study assigns the healthier patients to the group using the new treatment and the sicker patients to the group using the traditional treatment.
Asking school children how they use apps to organize their day.
All students find the question easy.
The things that can lead to bias include:
The question uses an inaccurate tool.
Some subgroups may be at a disadvantage due to prior experiences.
A medical research study assigns the healthier patients to the group using the new treatment and the sicker patients to the group using the traditional treatment.
What is bias?It should be noted that bias simply means anything that leads to a systematic difference between the true parameter.
It should be noted that in a situation where the question uses an inaccurate tool. This will lead to bias and bring about inaccuracy.
Also, using different tools for the patients can lead to bias.
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Which expressions simplify to a rational answer?
Select each correct answer.
Options (1), (3), (4), (7) and (8) are rational numbers.
What is the rational number?Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
1) 1/4 + 1/2 = 1/4 + 2/4
= 3/4
3/4 is the rational number
2) √3 + 4 is an irrational number
3) √4 + 7
2 + 7 = 9
9 is the rational number
4) 2·√9
= 2·3
= 6
6 is the rational number
5) 7·√6 is an irrational number
6) 4·2√3 = 8√3
8√3 is an irrational number
7) 3·7·(1/3) = 7
7 is the rational number
8) 7·√81
=7·9 = 63
63 is the rational number
Therefore, options (1), (3), (4), (7) and (8) are rational numbers.
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picture down below
PLS HURRY FIRST GETS BRAINLIEST
Step-by-step explanation:
come on, this is really simple.
you need to put the given values of x into the places, where x appears in the functional expression.
which expression to be used ? that depends on the given value.
x = -1
is -1 >= 0 (to use the case for x >= 0) ? no, it is not.
-1 < 0, so we need to use the expression for x < 0.
y = -1 - 2 = -3
x = 0
is 0 >= 0 ? yes, it is.
so, we need to use the expression for x >= 0.
y = 3×0 + 1 = 0 + 1 = 1
x = 1
is 1 >= 0 ? yes, it is.
so, we need to use the expression for x >= 0.
y = 3×1 + 1 = 3 + 1 = 4
x = 2
is 2 >= 0 ? yes, it is.
so, we need to use the expression for x >= 0.
y = 3×2 + 1 = 6 + 1 = 7
10) 18p³ - 6p² +3p-1
Answer:
Evaluate
18p
3
−6p
2
+3p−1
Rewrite the expression
18p
3
+3p−6p
2
−1
Factor out 3p from the expression
3p(6p
2
+1)−6p
2
−1
Factor out −1 from the expression
3p(6p
2
+1)−(6p
2
+1)
Solution
(3p−1)(6p
2
+1)
What percentage of Earth's freshwater is found in lakes, rivers, and streams as surface water? (1 point)
69%
30%
1%
71%
The percentage of Earth's freshwater is found in lakes, rivers, and streams as surface water is 69%. Therefore, option A is the correct answer.
We need to find the percentage of Earth's freshwater is found in lakes, rivers, and streams as surface water.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Over 69 percent of the fresh water on Earth is found in icecaps and glaciers, and just over 30 percent is found in ground water. Only about 0.3 percent of our fresh water is found in the surface water of lakes, rivers, and swamps.
The percentage of Earth's freshwater is found in lakes, rivers, and streams as surface water is 69%. Therefore, option A is the correct answer.
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2. Find the volume to the nearest cubic millimeter of the 3-D object in the diagram.
200 mm
300 mm
Volume of a pyramid is calculated using the same basic formula as that of a cone: volume = (1/3) × base area × height, where height is the distance between the base and the apex. Then the height is 6 feet.
What is the volume of the square pyramid?Using the equation volume = base area height / 3, one may calculate the volume of a regular square pyramid. Keep in mind that the base area is equal to the base edge length squared.
A polygonal base and an apex come together to form a polyhedron known as a pyramid. Volume of a pyramid is calculated using the same basic formula as that of a cone: volume = (1/3) × base area × height, where height is the distance between the base and the apex.
The volume of a square pyramid exists found by multiplying the area of the base by the height divided by 3.
32 = 4² × h/3
32 = 16 × h/3
Multiply both sides by 3
96 = 16 × h
Divide both sides by 16
H = 96/16
H = 6
Therefore, the height is 6 feet.
The complete question is:
Find the height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet.
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График функции y=-0,5(10-x) Дополнительная информация -2≤x≤12
What is the discriminant of the quadratic equation -x^2+6x-4=0?
Answer:
[tex]x = - 3 + - \sqrt{13} [/tex]
Step-by-step explanation:
formula is x=-b+-sqrt b^2-4ac/2a
adana is going on vacation with her family in2 hours they travel 90.5 miles. they travel the same speed, write an equation that represents how far they will travel, d, in h hours
If adana is going on vacation with her family in2 hours they travel 90.5 miles. they travel the same speed, The equation that represents how far they will travel, d, in h hours is: r = d / t, D = r × t.
Speed and distanceGiven data;
Travels time : 2 hours in 90.5 miles
Formula for speed is:
r = d / t
Where,
r = Speed
d = Distance
t = Time
Hence,
Speed = 90.5 / 2
Speed =45.25miles per hour
Since they travels d distance in h hour with the same speed let find the distance
D = r × t
Distance = Speed × Time
Distance = 45.25 × h
Distance = 45.25h miles
Therefore r = d / t, D = r × t is the equation that represent the distance they travel.
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Which is the equation of the perpendicular bisector of a line segment whose midpoint
is (1, -2) and whose slope is - 1/3
asap
Answer: y = 3x - 5
Step-by-step explanation:
3 is the reciprocal of -1/3 and by plugging in (1,-2) in to y=3x+b you get -2 = 3(1) + b which makes b = -5
construct a 95% confidence interval for the mean number of defects per screen for all screens produced by this manufacturer. a) what is the lower limit on the interval? give your answer to three decimal places. 2.077 incorrect: your answer is incorrect. b) what is the upper limit on the interval? give your answer to three decimal places. 2.203 incorrect: your answer is incorrect.
The 99% confidence interval for the population proportion p is 0.833< p < 0.863.
Given that,
x = 3059
n = 3604
Point estimate = sample proportion = x / n =3059/3604=0.848
[tex]1 - \hat p[/tex] = [tex]1-0.848 =0.152[/tex]
At 99% confidence level the z is ,
[tex]\alpha[/tex] = 1 - 99% = 1 - 0.99 = 0.01
[tex]\alpha[/tex]/ 2 = 0.01 / 2 = 0.005
[tex]Z\alpha[/tex]/2 = [tex]Z*0.005[/tex] = 2.576 ( Using z table )
Margin of error = E = [tex]Z\alpha / 2 * (\sqrt(((\hat p * (1 - \hat p)) / n)[/tex]
= [tex]2.576* (\sqrt((0.848*0.152) /3604 )[/tex]
=0.015
A 99% confidence interval for population proportion p is ,
[tex]\hat p - E < p < \hat p + E[/tex]
0.848-0.015< p <0.848+ 0.015
0.833< p < 0.863
Hence, the 99% confidence interval for the population proportion p is 0.833< p < 0.863.
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Write the equation of the line that passes through the points (7,-6)(7,−6) and (3,8)(3,8). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
The equation of the line is y = -0.35x – 3.55
Given,
The gradient of the line between two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).
Since the line passes through the points (7,-6) and (3,8),
• (x₁, y₁) = (7,-6) and
• (x₂, y₂) = (3,8).
So, substituting the values of the variables into the equation, we have
m = (y₂ - y₁)/(x₂ - x₁).
m = (8 - (-6))/(3 - 7).
m = (8 + 6)/ -4
m = 14/-4
m = -3.5
The equation of the line passing through the point (x₁, y₁) in point-slope form is given by
y - y₁ = m(x - x₁) where
• m = gradient =- 0.35 and
• (x₁, y₁) = (7, -6)
So, substituting the values of the variables into the equation, we have
y - y₁ = m(x - x₁)
y - (-6) = -0.35(x - 7)
y + 6 =-0.35 (x - 7)
y = (-0.35x + 2.45 – 6)
y = -0.35x – 3.55
So, the equation of the line is y = -0.35x – 3.55
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find the confidence interval specified. assume that the population is normally distributed. a sociologist develops a test to measure attitudes about public transportation, and 27 randomly selected subjects are given the test. their mean score is 76.2 and their standard deviation is 21.4. construct the 95% confidence interval for the mean score of all such subjects.
The 95% confidence interval for the mean score of all such subjects. will be ( 67. 7 , 84.7) using mean.
What is mean?
Mathematicians, particularly statisticians, use a variety of means. Every mean serves to condense a certain set of facts, frequently to help grasp the general significance of a particular data set.
sample mean = x' = 76.2
sample S = 21.4
sample size n = 27
Confidence level = a = 0.95
α=1-a=0.05
95% confidence interval for the mean score of all such subjects is
(x'-E , x'+E)
E = [tex]\frac{tc*s}{\sqrt{n}}[/tex]
E = [tex]\frac{2.056*21.4}{\sqrt{27}}[/tex]} = 8.466
95% confidence interval for the mean score of all such subjects is
(x'-E , x'+E)
=(76.2-8.466 , 76.2+8.466)
=(67.734 , 84.666)
= ( 67. 7 , 84.7)
Hence The answer will be ( 67. 7 , 84.7).
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Which symbol correctly compares these fractions? −4/5 −8/9
Answer:
-4/5 > -8/
-4/5 greater than -8/
Answer:
" > "
Step-by-step explanation:
-4/5=4x9 5×9
-4/5 = - 36/ 45
-8/9=8×5 9×5
-8/9 =-40/45
-36/ 45 > -40/45
-4/5 > -8/9
in this case - 4/5 is closer to 0
0.0 mi/hr to 70.0 mi/hr in 10.0 seconds, what would be its final velocity after 5.0 seconds if its starting velocity was 50.0 mi/hr
Based on the calculations, the final velocity of this car is equal to 85.0 mi/hr.
How to calculate the final velocity of this car?In order to determine the final velocity of this car, we would first calculate its acceleration based on the parameters provided. Mathematically, the acceleration of an object can be calculated by using this formula:
a = (V - U)/t
Where:
a represents the acceleration.V represents the final velocity.U represents the initial velocity.t represents the time measured in seconds.Substituting the given parameters into the formula, we have:
a = (70.0 - 0)/10
a = 70.0/10
Acceleration, a = 7.0 mi/hr².
Now, we can determine the final velocity of this car as follows:
V = U + at
V = 50.0 + (7.0)(5)
V = 50.0 + 35.0
Final velocity, V = 85.0 mi/hr.
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Complete Question:
If a car can go from 0.0 mi/hr to 70.0 mi/hr in 10.0 seconds, what would be its final velocity after 5.0 seconds if its starting velocity was 50.0 mi/hr
A group entering a zoo purchased 32 admission tickets for a total of $148. Adult tickets cost $7.50, and tickets for children cost $3.50. How many of each type of ticket were purchased?
There are 23 tickets which are purchased for children and 9 tickets are purchased for adults which cost total $148.
It is given in the question that 32 tickets are purchased by group which cost total $148.
Let the number of children of the group who are entering the zoo be x. Then the number of adults will be 32- x
Now cost of one ticket for adult = $7.50
Total amount spent on adult tickets = 7.50 × (32-x)
Similarly, cost of one ticket for child= $3.50
Total amount spent on children tickets = 3.50 × x =3.5x
Total amount spent by group on tickets = $148
⇒ 7.5 × (32-x) + 3.5x = 148
⇒ 240 - 7.5x + 3.5x = 148
⇒ 7.5x - 3.5x = 240 - 148
⇒ 4x = 92
⇒ x = 23
Children = 23
Adults = 32-x = 32-23 = 9
Hence, 23 tickets are purchased for children and 9 tickets are purchased for adults.
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Simplify: 12a+7x-3a-2x
Answer:
9a+5x
Step-by-step explanation:
9a+5x
all you need to do here is to collect like terms.
so first ignoring the X's, 12a minus 3a is 9a.
then 7x-2x=5x
then you put these together to give you 9a+5x
Answer:
9a+5x
Step-by-step explanation:
you just have to collect like terms and then you will be able to find your answer!
how many groups of 10 milliliters are in 1 liter explains
There are 100 groups of 10 milliliters in 1 liter
How to determine the number of groups?From the question, the given parameters are
Volume 1 = 10 milliliters
Volume 2 = 1 liter
The number of groups of the first group in the second is calculated as
Groups = Volume 2/Volume 1
Substitute the known values in the above equation
So, we have the following equation
Groups = 1 liter/10 milliliters
Evaluate the quotient
Groups = 100
Hence, the number of groups is 100
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Evaluate the expression,in simplest form c= 7/10 y=2/15-3y+c
Let's begin by listing out the information given to us:
[tex]undefined[/tex]the population of a town increased by 2.59% per year from the beginning of 2000 to the beginning of 2010. the town's population at the beginning of 2000 was 74,500.
the town's population at the beginning of 2000 was 74,500.Then the population in 2010 will be 96206.97
In 2000, the population of a town = 74500
Every year, it increase by 2.59%
To find the equation P(t) which represents the population of this town t years from 2000 to 2010.
Formula
If a be the original population of a town and it increases by r% every year, after t year the population will be
A = P ( 1+r/100)^t
Now,
Taking, P =74500, r = 2.59% we get,
A = 74500( 1+0.0259)^10
A= 74500(1.0259)^10
A= 96206.97
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Imagine you went to the store and bought a video game for $12.98. This item is taxable at 6% tax and the total tax is $0.78. What is the total amount due?
The total amount due will be equal to $6.24.
This question can be solved by converting the situation into form of an equation. An equation may be defined as an expression which consists of numbers, variables related to each other by arithmetic expressions. The solution of equation often referred to as the variables for which the equation must be solved, are the values of the unknowable variables that satisfy the equality. The cost of video game is given as $12.98, and tax is equal to $0.78, and he paid an amount of $20. let the change left be x.
Total amount = cost of game + tax + change
$20 = $12.98 + $0.78 + x
$20 = $13.76 + x
=> x = $20 - $13.76
=> x = $6.24 which is the due amount.
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Complete Question:
Imagine you went to the store and bought a video game for $12.98. This item is taxable at 6% tax and the total tax is $0.78. What is the total amount due? Next, you decide to pay with a $20.00 bill. How much change will you receive after paying for your video game?
PLEASE HELP!
Set up the system of equations for this scenario. Let "b" represent hours babysitting
and "w" represent hours walking dogs.
Answer:
I not to sure but I think it is b+w=h(hours)
Step-by-step explanation:
4 root symbol 84 x 10 to the power of 4
The simplified value for 4 √84 x [tex]10^4[/tex] is 800 √21.
What is exponents?The exponent of a number shows how many times the number is multiplied by itself.
For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.
Given:
4 √84 x [tex]10^4[/tex]
Now, first factorize 84 into prime factor
84 = 2 x 2 x 3 x 7
The, we can write it as
4 √84 x [tex]10^4[/tex]
=4 x √(2 x 2 x 3 x 7 x (10²)²)
= 4 x 2 x 10² √( 3 x 7)
= 8 x 10² √21
=800 √21
Hence, the simplified value is 800 √21.
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Let f (x) = 2x - 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following. Find f(x) + h(x)
The value of f(x) + h(x) when f(x) = 2x - 1 and h(x) = x² + 1 is x² + 2x.
Addition of linear functions:
Addition of two individual functions, a(x) and b(x); linearly, results in the formation of the functional addition, c(x) of the two functions, such as:
c(x) = a(x) + b(x) = (a+b)(x) – (i)
The addition of the functions strictly restricts to simple linear addition without any pre-defined constraints.
Given, f(x) = 2x - 1, g(x) = 3x and h(x) = x² + 1
Using the available formula in (i), we get
f(x) + h(x) = (f + h)(x) = (2x - 1) + (x² + 1) = x² + 2x = x(x + 2), which is a quadratic equation.
Thus, the required value of f(x) + h(x) is x² + 2x.
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Can someone please help me solve for Y and X. Question number 5
Using the triangle sum theorem, x = 7 and y = 18.
What is the Triangle Sum Theorem?The theorem that says that all the interior angles of a triangle will be equal to 180 degrees is referred to as the triangle sum theorem.
In the diagram given, since vertical angles are congruent, therefore:
(11x - 9) + (6x - 2) + 72 = 180 [triangle sum theorem]
Solve for x
11x - 9 + 6x - 2 + 72 = 180
17x + 61 = 180
17x = 180 - 61
17x = 119
x = 7
Also,
(5y - 8) + (11x - 9) + 30 = 180 [triangle sum theorem]
5y - 8 + 11x - 9 + 30 = 180
5y + 13 + 11x = 180
Plug in the value of x
5y + 13 + 11(7) = 180
5y + 13 + 77 = 180
5y + 90 = 180
5y = 180 - 90
5y = 90
y = 90/5
y = 18
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In the figure below, N lies between M and P.
1
Find the location of N so that MN is of MP.
1/2 of MP
Answer:
8
Step-by-step explanation:
See attached image.
(04.01 HC)
A person with type A blood can donate red blood cells to people with type A or type AB
blood. About 31% of the US population has type A blood. You are asked to design a
simulation to determine the probability that at least 4 of 10 people will have type A blood.
Part A: Conduct five trials using the following table of random digits: (5 points)
96299 07196 98642 20639 23185 56282
94168
86280
59225
69929 14125 38872
18192 08710 80777 84395 69563
70406 18564 69273 72532 78340 36699
46376 58596 14365 63685 56555 42974 72944 96463 63530 24152
47352 04266 74017 79319 70170 96572 08523 56025 89077 57678
71622 35940 81807
03272 41230 81739
74797
Part B: Based on your simulation, what is the probability that at LEAST 4 of 10 people will
have type A blood? (5 points)
Answer:31%
Step-by-step explanation:
tv sets: according to the nielsen company, the mean number of tv sets in a u.s. household in 2013 was 2.24 assume the standard deviation is 1.3. a sample of 80 households is drawn.
The probability of a random sample of 80 households having a sample means a number of at least 2.55 televisions per household is 0.48173.
Given: Mean(μ) = 2.24, Standard deviation(σ) = 1.38, Sample size(n) = 1.28 and a random variable for X = 2.55
The formula to calculate the z-score from the mean. The standard deviation is:
z = (X - μ) / ( σ / √(n)) where,
z = z-score,
X = random variable,
μ = mean,
σ = standard deviation, and
n = sample size
Let's solve the given question:
We have,
Mean(μ) = 2.24,
Standard deviation(σ) = 1.38,
Sample size(n) = 80, and
a random variable for X = 2.55
As it is given sample means at least 2.55 so we have to find the Z(x ≥ 2.55).
Therefore, Z(x ≥ 2.55) = (2.55 - μ) / ( σ / √(n))
Substituting all values we get:
Z(x ≥ 2.55) = (2.55 - 2.24) / ( 1.38 / √(80))
Z(x ≥ 2.55) = 0.01 / 0.21819
Z(x ≥ 2.55) = 0.48173
Hence the probability of a random sample of 40 households having a sample means a number of at least 2.55 televisions per household is 0.48173.
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