Answers
Related Questions
Find the MEDIAN of the data set. (Hint: the numbers must be in order first!) 40 76 40 63 47 57 49 55 50 53
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Given:
The data set is:
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
To find:
The median of the given data set.
Solution:
We have,
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
Arrange the data values in ascending order.
40, 40, 47, 49, 50, 53, 55, 57, 63, 76
Here, the number of observations is 10 which is an even number. So, the median is:
[tex]Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}[/tex]
Putting n=10, we get
[tex]Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}[/tex]
[tex]Median=\dfrac{5\text{th term}+6\text{th term}}{2}[/tex]
From the arranged terms, it is clear that the the 5th term is 50 and the 6th term is 53.
[tex]Median=\dfrac{50+53}{2}[/tex]
[tex]Median=\dfrac{103}{2}[/tex]
[tex]Median=51.5[/tex]
Therefore, the median of the given data set is 51.5.
For any number, y
Add one third of the number
Then subtract _____________ of the result.
The answer is y
Answers
Answer:
y/3
Step-by-step explanation:
According to the conditions :
y + y/3 - x = y
y + y/3 - y = x
(3y + y - 3y )/3 = x
y/3 = x
Answer:
[tex]\frac{3}{12}[/tex]
Step-by-step explanation:
Create an equation and solve for x:
[tex]y + \frac{1}{3} y = \frac{4}{3} y\\\frac{4}{3}y - x(\frac{4}{3}y) = y\\x = \frac{3}{12}[/tex]
help plzzzzzzzzzzzzzzzzzzzzzzzzzzz
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Answer:
I think I just posted that last time. Check my timeline
1/3 x 1/4 = ?????????
Answers
Answer:
1/12
Step-by-step explanation:
1/4 X 1/3 = 1/12
Answer:
1/12
Step-by-step explanation:
When multiplying fractions, you multiply it like normal numbers, so 1 is multiplied by 1, and 3 is multiplied by 4.
For example:
3/4 x 9/10 would be equal to 27/40 because the 3 is multiplied by 9 and 4 is multiplied by 10.
3 x 9 = 27
4 x 10 40
27/40
Therefore on your question it would be 1/12.
Use the graph to write a linear function that relates Y toX
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x-y=xy
2-1=1
Y=1
MARKING BRAINLIEST ..Please
Answers
Answer:
B
Step-by-step explanation:
Have a good day :)
Answer: I think D.
Step-by-step explanation:
The speed with which utility companies can resolve problems is very important. GTC, the Georgetown TelephoneCompany, reports they can resolve customer problems the same day they are reported in 70 percent of the cases.Suppose the 15 cases reported today are representative of all complaints. a) What is the probability 10 of the problems can be resolved today? b) What is the probability 9 or 12 of the problems can be resolved today? c) What is the probability more than 10 of the problems can be resolved today?
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Answer:
a) [tex]P(10)=0.2061[/tex]
b) [tex]P(9\ or\ 12)=0.3172[/tex]
c) [tex]P(X>10)=0.51545[/tex]
Step-by-step explanation:
From the question we are told that:
Probability of Same day resolution [tex]P=70\%=>0.7[/tex]
Probability of Another day resolution [tex]Q=1-P=>30%=>0.3[/tex]
Sample size [tex]n=15[/tex]
a)
Generally the equation for Probability 10 of the problems can be resolved today is mathematically given by
Since
[tex]P(X)=^{n}C_{x}*p^{x}*Q^{n-x}[/tex]
[tex]P(10)=^{15}C_{10}*p^{10}*Q^{15-10}[/tex]
[tex]P(10)=\frac{15!}{10!(15-10)!*0.70^{10}*0.30^5}[/tex]
[tex]P(10)=0.2061[/tex]
b)
Generally the equation for Probability 9 or 12 of the problems can be resolved today is mathematically given by
[tex]P(9)=\frac{15!}{9!(15-9)!*0.70^{9}*0.30^6}[/tex]
[tex]P(9)=5005*2.942*10^{-5}[/tex]
[tex]P(9)=0.1472[/tex]
OR
[tex]P(12)=\frac{15!}{12!(15-12)!*0.70^{12}*0.30^3}[/tex]
[tex]P(12)=455*3.737*10^{-4}[/tex]
[tex]P(12)=0.17[/tex]
Therefore Probability 9 or 12 of the problems can be resolved today is
[tex]P(9\ or\ 12)=P(9)+P(12)[/tex]
[tex]P(9\ or\ 12)=0.1472+0.17[/tex]
[tex]P(9\ or\ 12)=0.3172[/tex]
c)Generally the equation for probability more than 10 of the problems can be resolved today is mathematically given by
[tex]P(X>10)=P(11)+P(12)+P(13)+P(15)[/tex]
Where
[tex]P(11)=\frac{15!}{11!(15-11)!*0.70^{11}*0.30^4}[/tex]
[tex]P(11)=0.2186[/tex]
[tex]P(13)=\frac{15!}{13!(15-13)!*0.70^{13}*0.30^2}[/tex]
[tex]P(13)=0.0916[/tex]
[tex]P(14)=\frac{15!}{14!(15-14)!*0.70^{14}*0.30^1}[/tex]
[tex]P(14)=0.0305[/tex]
[tex]P(15)=\frac{15!}{15!(15-15)!*0.70^{15}*0.30^0}[/tex]
[tex]P(15)=0.00475[/tex]
Therefore
[tex]P(X>10)=0.2186+0.0916+0.0305+0.00475+0.17[/tex]
[tex]P(X>10)=0.51545[/tex]
The price of an item yesterday was $130. Today, the price rose to $351. Find the percentage increase.
please help and I will mark you braniest!
Answers
Answer: The percentage increase is 170%
Step-by-step explanation:
Increase= $351 - $130
Increase= 221
Percent increase = 221/ 130
Percent increase= 170%
I'm not sure if I'm right, but I hope that this helped:)
Answer:
170%
Step-by-step explanation:
130 = 100%
65 = 50%
13 = 10%
351 - 130 = 221 (doesnt count)
221 - 130 = 91
91 - 65 = 26
26 - (13 + 13) = 0
100 + 50 + 20 = 170%
Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left parenthesis, 4, comma, 7, right parenthesis.
Answers
Answer: [tex]y=8x-25[/tex]
Step-by-step explanation:
Given
Line passes through [tex](3,-1)\ \text{ and}\ (4,7)[/tex]
Equation of line when it passes through two points [tex](x_1,y_1),(x_2,y_2)[/tex]
[tex]\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}[/tex]
Insert the values
[tex]\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25[/tex]
Answer:
8x-25
Step-by-step explanation:
:O thats ez
Select ALL the expressions that are equivalent to -4(8x-3)
A) -20X
B) 4(3-8x)
C) -32x-12
D) 2(-16x+6)
E) 5-9(8x-3)
Answers
Answer:
dddddStep-by-step explanation:
Match the cube roots and square roots with their values.
V4
327
64
364
49
31,000
2
10
3
4
8
7
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10= cube root of 1000
3= cube root of 27
4= cube root of 64
8= sqrt 64
7= sqrt 49
Christopher the barber did 8 haircuts. One of the 8 was a walk-in. Express the amount
of walk-ins as a percent.
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two parallel lines are cut by a transversal. what is the measure of angle 8
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Answer:
A
Step-by-step explanation:
∠4 and ∠8 are corresponding angles
corresponding angles are congruent ( equal to each other )
so if ∠4 = 100° then ∠8 also equals 100°
Answer:
A
Step-by-step explanation:
8 is equal to 4(100) because it is corresponding angle, corresponding angle are equal to each other...If 4 is 100 then 8 will be 100
100 students are interviewed to see which of biology, chemistry or physics they prefer.
72 of the students are girls. 34 of the girls like biology best.
11 of the boys prefer physics.
24 out of the 27 who prefer chemistry are girls.
What percentage of the students prefer biology?
Answers
Answer:
62%
Step-by-step explanation:
34 girls like biology
? boys like biology
It is 34%≤
27% Prefer chemistry
11% prefer physics
27 + 11 = 38
100 - 38 = 62
let me know if i'm wrong
LOOK AT THE PICTURE PLZ NEED HELP!
Answers
Answer:
J
Step-by-step explanation:
Sorry I'm very busy so no step by step
A total of 120 smoothies were sold on the first day of the month from July-December. True or false
Answers
Answer:
the answer would basically be 720 smoothies in total from Jul.-Dec.
Step-by-step explanation:
YWW :)
3. Mrs Naidoo wants to buy a new kitchen cabinet on which she can place her new
microwave. Mrs Naidoo notices one advertised for R3 999,00. She decides to
save until she has enough cash to pay for the kitchen cabinet. She uses her
December bonus of R2 900,00 to deposit into her savings account where she
is offered 3,5% p.a. compound interest.
Determine if Mrs Naidoo will be able to afford the kitchen cabinet a year later if she
adds R960,00 to the saved amount.
please help
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Answer:
thats about like ummm 69?
Step-by-step explanation:
a company packages stickers in sets of 40. if each set costs $80.85, what is the cost of 240 stickers?
Answers
Answer:
485.10
Step-by-step explanation:
250/80.85 = 2.96
In the nearest tenth, the answer is 3
Evaluate the expression 9 + 8 − 2 x 4.
B 11
C 13
D 16
A 9
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[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{9 + 8 - 2 }\times\large\text{ 4}\\\large\text{9 + 8 = \bf 17}\\\large\text{17 - 2 }\times\large\text{ 4}\\\large\text{2 }\times\large\text{ 4 = \bf 8}\\\large\text{17 - 8 }\\\large\text{\bf = 9}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf D. 9}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Jose has a bag of 6 blue marbles, 3 white marbles, and 8 black marbles. What is the probability that he pulls a blue marble out of the bag?
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6+3+8= 17
Then, to find the probability you put the number of marbles which you want to find the probability of being pulled out on top of the fraction and make it out of 17
6/17
9 Sam earns $54 275 in a year.
He pays no income tax on the first $8200.
He pays 18% income tax on everything he earns over $8200.
a Work out how much income tax he pays.
b Work out what percentage of his income he pays in tax.
c If the income tax rate is increased to 21%, how much more tax will Sam pay?
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Answer:
See all three answers below
Step-by-step explanation:
Given data
Amount Earned= $54275
Income Tax= 18%
a Work out how much income tax he pays.
Amount of income tax
=18/100*54275
=0.18*54275
=$9769.5
b Work out what percentage of his income he pays in tax.
=9769.5/54275*100
=0.18*100
=18%
c. If the income tax rate is increased to 21%, how much more tax will Sam pay?
=21/100*54275
=0.21*54275
=$11397.75
If a boat travled 70miles in 5 hours how far did the boat travel in one hour
Answers
Answer:
350millas
Step-by-step explanation:
Javier built a skateboard ramp by elevating one end of an 8-foot piece of plywood so that it makes a 20 degree angle with the ground.
Answers
Answer:
2.74feet
Step-by-step explanation:
Since we are not told what to find, we can find the height of the plywood
Given the following
length of ramp = 8feet
angle of elevation = 20degrees
Required
Height of the plywood
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 20 = H/8
H = 8sin20
H = 8(0.3420)
H = 2.74 feet
Hence the height of the plywood is 2.74feet
What is the equation of the line that passes through the point (-4, 2) and has a slope of -5/4?
Answers
Answer:
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
Step-by-step explanation:
Use the point-slope form: [tex]y - y_{1} = m(x - x_{1})[/tex]
[tex](x_{1}, y_{1})[/tex] = (-4, 2)
y - 2 = -5/4(x + 4) Multiply by 4 to remove the fraction
4y - 8 = -5(x + 4)
4y - 8 = -5x - 20
4y = -5x - 12
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
Solve for X in 3x/10 + x/5 = 15 SHOW WORK
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Answer:
x = 30
Step-by-step explanation:
correct me if i am wrong but i think you have to
a.) change the denominator's to be the same :
ten is a common denominator therefore you times the second expression by two ( x/5 becomes 2x/10 )
b.) put the formula back together :
3x/10 + 2x/10 = 15
5x/10 = 15
5x = 150
x = 30
i need actually help on this asap!
Answers
Answer:
Step-by-step explanation:
x = -1: 2(3)^(-1) = 2(1/3) = 2/3
x = 0: 2(3)^0 = 2(1) = 2
x = 1: 2(3)^1 = 6
x = 2 2(3)^2 = 18
PLS HELP ASAP...A triangle has side lengths of (10m-5) centimeters, (6m-2) centimeters, and (8n+4) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
1. 12n+16m−7
2. 16m+8n−3
3. 12n+5m+4
4. 12n+9m
Answers
Answer:
perimeter = 10m - 5 + 6m - 2 + 8n + 4
= 16m -7 + 8n + 4
16m + 8n -3
option 2
The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The sum of all the sides of the triangle will be known as the perimeter of the triangle.
A triangle has side lengths of (10m - 5) centimeters, (6m - 2) centimeters, and (8n + 4) centimeters.
The expression represents the perimeter of the triangle will be
P = (10m - 5) + (8n + 4) + (6m - 2)
P = 16m + 8n - 3
The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Which choice is equivalent to the quotient shown here when x2 0?
Answers
Answer:
Option A.
Step-by-step explanation:
√18x÷√32
√18x/√32
√18x/32
√9x/16
9 and 16 are perfect squares
=3√x/4.
Option A
First correct response gets brainliest
Answers
Answer:
x = 13
Step-by-step explanation:
This question is based on Secant Secant theorem.
Secant Secant theorem gives us the following formula:
(AB + BD)AB = (AC + CE).AC
From the above question we have the following parameters
AB = 5
BD = x
AC = 7.5
CE = 4.5
Hence,
(AB + BD)AB = (AC + CE).AC
(5 + x)5 = (7.5 + 4.5)7.5
25 + 5x = 90
Collect like terms
5x = 90 - 25
5x = 65
x = 65/5
x = 13
An adult ticket costs £4.
A child ticket costs £3.
Hina spends £47 on cinema tickets.
She buys 8 adults tickets.
Work out how many child tickets she buys.
Answers
8*4=32
47-32= 15
15/3= 5