Answer: really 60
Step-by-step explanation:
1. Jack wants to buy a pair of name-brand headphones on a popular auction
website. He enters the brand, make, and model number and searches the site
for what is available. He notices that some headphones are being offered as
"buy now" with a fixed price and others are up for bid in auctions. Below is a
list of all prices at the time he did his search.
$75 $95 $180 $136 $89 $75 $110 $180 $100 $136 $180
$95 $180 $136 $75
$100 $110 $180 $180 $136 $75 $90
a. Construct a frequency distribution for the data.
b. Use the frequency distribution to determine the mean. Round your answer
to the nearest cent.
c. Use the frequency distribution to determine the median and the mode.
Answer:
Mean = 125.136
Median = 110
Mode = 180
Step-by-step explanation:
Given the data:
75 95 180 136 89 75 110 180 100 136 180 95 180 136 75 100 110 180 180 136 75 90
Frequency distribution:
Value(X) ___freq (F) ____cumm frequency
85 _________ 4 _______ 4
89 _________ 1 _______5
90 __________1 _______6
95 __________2 ______ 8
100 _________ 2 ______10
110 __________2______ 12
136 __________4 _____ 16
180 __________6______22
2) Using the frequency distribution :
Mean = Σfx / Σf
[(85*4) + (89*1) + (90*1) + (95*2) + (100*2) + (110*2) + (136*4) + (180*6)]/ 10
= 2753 / 22
= $125.136
Median of grouped data :
Frequency + 1 / 2 = 23/2 = 11.5 th term
The median value = $110
Mode of the data:
Most frequently occurring = 180 (frequency of 6)
The mean of the frequency distribution is $125.136, the median of the frequency distribution is $110, and the mode of the frequency distribution is $180.
Given :
Jack wants to buy a pair of name-brand headphones on a popular auction website.He enters the brand, make, and model number and searches the site for what is available. He notices that some headphones are being offered as "buy now" with a fixed price and others are up for bid in auctions.a) The frequency distribution is given below:
Prices Frequency Cumulative Frequency
85 4 4
89 1 5
90 1 6
95 2 8
100 2 10
110 2 12
136 4 16
180 6 22
b) The mean is calculated as:
[tex]\rm Mean = \dfrac{85\times4 + 89\times1 +90\times1 +95\times 2+100\times2 +110\times2 +136\times4 +180\times6 }{10}[/tex]
Simplify the above expression.
Mean = $125.136
c) The median of the frequency distribution is calculated as:
[tex]\rm Term= Frequency + \dfrac{1}{2}=11.5[/tex]
So, the median is $110.
The mode of the frequency distribution is $180.
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The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. Use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to AC voltage. The values of the parameters depend on the voltage and temperature; suppose α = 2.6 and β = 220. (a) What is the probability that a specimen's lifetime is at most 250? Less than 250? More than 300? (Round your answers to four decimal places.) at most 250 less than 250 more than 300 (b) What is the probability that a specimen's lifetime is between 100 and 250? (Round your answer to four decimal places.) (c) What value is such that exactly 50% of all specimens
Answer:
a
P(X \le 250 ) = 0.7564 [/tex] , [tex]P(X < 250 ) = 0.7564 [/tex] ,
[tex]P(X < 300 ) = 0.09922 [/tex]
b
[tex]P(100 < X < 250 ) =0.644 [/tex]
c
[tex] x = 192.1 [/tex]
Step-by-step explanation:
From the question we are told that
The value for [tex]\alpha = 2.6[/tex]
The value for [tex]\beta = 220[/tex]
Generally the Weibull distribution function is mathematically represented as
[tex]F( x , \alpha , \beta ) = \left \{ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x < 0} \atop { 1- e^{-(\frac{x}{\beta } )^{\alpha } }}\ \ \ \ \ \ x \ge 0} \right[/tex]
Generally the probability that a specimen's lifetime is at most 250 is mathematically represented as
[tex]P(X \le 250 ) = F(250, 2.7 , 220 )[/tex]
[tex]P(X \le 250 )=1 - e^{- (\frac{250}{220} )^{2.7}}[/tex]
[tex]P(X \le 250 ) = 1 - 0.2436[/tex]
[tex]P(X \le 250 ) = 0.7564 [/tex]
Generally the probability that a specimen's lifetime is less than 250
[tex]P(X < 250 ) = F(250, 2.7 , 220 )[/tex]
[texP(X < 250 ) =1 - e^{- (\frac{250}{220} )^{2.7}}[/tex]
[tex]P(X < 250 ) = 1 - 0.2436[/tex]
[tex]P(X < 250 ) = 0.7564 [/tex]
Generally the probability that a specimen's lifetime is more than 300
[tex]P(X > 300 ) = 1- p(X \le 300 )[/tex]
[tex]P(X > 300 ) = 1- F(300, 2.7 , 220 )[/tex]
[texP(X < 300) =1- [1 - e^{- (\frac{300}{220} )^{2.7}}][/tex]
[tex]P(X < 300 ) = 0.09922 [/tex]
Generally the probability that a specimen's lifetime is between 100 and 250 is
[tex]P(100 < X < 250 ) = P(X < 250) - P(X < 100)[/tex]
=> [tex]P(100 < X < 250 ) =F(250 , 2.7 , 220 ) - F(100 , 2.7 , 220 ) [/tex]
=> [tex]P(100 < X < 250 ) =(1 - e^{-(\frac{250}{220})^{2.7}}) - (1 - e^{-(\frac{100}{220})^{2.7}}) [/tex]
=> [tex]P(100 < X < 250 ) = (1 - 0.244 ) - (1- 0.888)[/tex]
=> [tex]P(100 < X < 250 ) =0.644 [/tex]
Generally the value such that exactly 50% of all specimens
[tex]P(X > x) = 1-P(X < x) = 0.50[/tex]
=> [tex]P(X > x) = 1- (1 - e^{- (\frac{x}{220}) ^{2.7}}) = 0.50[/tex]
=> [tex] P(X> x ) = e^(- \frac{x}{20})^{2.7} = 0.50 [/tex]
=> [tex] P(X> x ) = (- \frac{x}{20})^{2.7} = ln0.50 [/tex]
=> [tex] P(X> x ) = \frac{x}{20} =[ -ln0.50 ] ^{frac{1}{2.7}}[/tex]
=> [tex] x = 220[ -ln0.50 ] ^{frac{1}{2.7}}[/tex]
=> [tex] x = 192.1 [/tex]
If an automobile travels 42 miles on 3 gallons of gasoline, how far, under the same driving conditions, will the car travel on 4.5 gallons of gasoline?
Answer:
63 hope this helped
Step-by-step explanation:
X squared plus X equals six solve for X as if it’s a positive number
Two integers a and b have a product of 30 what is the least possible sum of a and b
Answer:
6+5=11
Step-by-step explanation:
6*5=30
Lowest numbers possible
rectangular park is 105 yards long and 55 yards wide.
ve the length and width of another rectangular park that has the same perimeter but a larger area.
Answer:
One answer is 100 yards long and 60 yards wide.
Step-by-step explanation:
The area is bigger, but answers vary.
Write the formula for the volume of a cone V = 13π r2 h in terms of h.
Find the height h of a cone with volume V = 32π cm3 and radius r = 4 cm.
Formula:
Height:
Answer:
The answer is D, h=3Vπr2. The height of the cone is 6 cm
Step-by-step explanation:
The Height of the Cone is 6 cm.
What is Volume of Cone?The shape's volume is equal to the product of its area and height. = Height x Base Area = Volume.
The formula for the volume of a cone is V=1/3hπr².
Given:
Volume of Cone= 1/3 πr²h
where r is the radius and h is the height.
Now, if V= 32π cm³ and r= 4 cm
Then, Volume of Cone = 1/3 πr²h
32π = 1/3 π(4)²h
32 = 1/3 (4)²h
32= 1/3 (16)h
h/3 = 2
h= 6cm
Hence, the height is 6 cm.
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A triangle with vertices J(3, 0), K(4, 3), and L(6, 0) is rotated clockwise 90° about the origin. What are the new coordinates for J' K' and L' ?
Answer:
The new coordinates of the triangle J'K'L' are J'(0, -3), K'(3, -4), and J'(6, 0)
Step-by-step explanation:
The given coordinates of the triangle JKL are;
J(3, 0), K(4, 3), L(6, 0)
The rotation of the point of a preimage (x, y) by 90° clockwise gives the point of the image after rotation as (y, -x)
Therefore;
The rotation of point J(3, 0) by 90° clockwise gives J'(0, -3)
The rotation of point K(4, 3) by 90° clockwise gives K'(3, -4)
The rotation of point L(6, 0) by 90° clockwise gives J'(6, 0)
The new coordinates of the triangle J'K'L' are J'(0, -3), K'(3, -4), and J'(6, 0)
Which of the following is considered an asset?
Answer:
b car lone
Step-by-step explanation:
hope it helps
Point M is on line segment overline LN . Given MN = 3x , LN = 4x + 9 , and LM = 2x + 7 determine the numerical length of LM .
Answer: 11
Step-by-step explanation:just trust me
The numerical length of LM will be 11.
It is given that point M is on line segment overline LN . Also , MN = 3x , LN = 4x + 9 , and LM = 2x + 7.
We have to determine that what will be the numerical length of LM ?
What will be the value of x in equation ; 3x + 2 = 8 ?
The value of x will be 2.
From the question we can get that ,
MN + LM = LN
2x + 7 + 3x = 4x + 9
5x + 7 = 4x + 9
x = 2
Now , we can use the value of x to find out length of LM ;
∵ LM = 2x + 7
⇒ LM = 2 × 2 + 7
⇒ LM = 11.
Thus , the numerical length of LM will be 11.
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After jogging 4 miles, a runner increases his speed to 6 miles per hour which equation models the total number of miles, d, that he has traveled aftert
hours at the fastest speed?
O d = 4t - 6
O d = 4t + 6
O d = 6 - 4
d = 6 + 4
Answer: 11
Step-by-step explanation:
what is the slope of a line perpendicular to the line whose equation is 2x-y=-6
Answer:
m⊥ = –½
Step-by-step explanation:
First, put the given equation in slope-intercept form:
2x – y = –6
–y = –2x – 6
y = 2x + 6
The slope of the line perpendicular to the line given will be the negative reciprocal of the given line's slope, so:
If m = 2, then m⊥ = its negative reciprocal:
m · –1
2 · –1
–2 → –½
So, the negative reciprocal of 2 is –½.
Help with slope pleaseee
^^
Look at ASTU on this coordinate grid. Suppose that AS'T'U' is the result of 8 points
a dilation of ASTU with a scale factor of 2. What are the coordinates of
point S?*
6
т
5 4
3.
N
1
1
S
U
-5 -5 -4 -3 -2 -1 0
$54
1
2 3 4 5
6x
به دی د اما
ov
O (4,2)
0 (0,-3)
O (3.4)
O (6,9)
Answer:
(4,2)
Step-by-step explanation:
i multiplied the S values by the scale factor to get the S dash
The coordinates of the point S' after dilation is S' ( 4 , 2 )
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
Given data ,
Let the triangle be represented as ΔSTU
Now , the coordinates of the triangle are
S ( 2 , 1 ) , T ( 4 , 5 ) and U ( 4 , 1 )
Now , the dilation scale factor is k = 2
So , the coordinates of the triangle after the dilation is
S' ( 4 , 2 ) , T' ( 8 , 10 ) and U' ( 8 , 2 )
Hence , the coordinate of S' is S' ( 4 , 2 )
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in Haritha haram,108,84 and 60 saplings of mango guava and sapota are supplied .find the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted
Answer: 21
Step-by-step explanation:
Given: Number of mango guava and sapota are supplied 108,84 and 60 respectively.
Since, 108 = 2 x 2 x 3 x 3 x 3
84 = 2 x 2 x 3 x 7
60 = 2 x 2 x 3 x 5
HCF(108,84,60) = 2 x 2 x 3 [HCF=Highest common factors]
= 12
Greatest number of plants in each row = 12
Number of rows for mango = [tex]\dfrac{108}{12}=9[/tex]
Number of rows for guava = [tex]\dfrac{84}{12}=7[/tex]
Number of rows for sapota = [tex]\dfrac{60}{12}=5[/tex]
Total rows = 9+7+5= 21
Hence, the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted = 21
4. Subtract 8pʻq'from-5pʻa.
is the answer 4 ur question
On June 19, NoteQuest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share was
$33.99. After the split, Keisha received a check for a fractional part of a share. What was the amount of that check?
Answer:
$11.33
Step-by-step explanation:
Keisha will own 307 shares after the split. and the amount of check is 11 dollar.
Given that, NoteQuest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share was
$33.99.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, 3+ 2 = 5
Now, let x be the number of shares post split
Then;
3/2 = x/205
x = 3/2 (205)
x = 615/2 = 307.5
Therefore, Keisha will own 307 shares after the split.
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The seventh grade class help an end of the year dance. Of the 300 seventh graders, 240
decided to attend. What percent of the seventh grade class attended the end of the year dance?
Answer:
80 percent
Step-by-step explanation:
Dvide 300 by 240 which gives you 80 percent the amount of students that atended.
Answer:
80%
Step-by-step explanation:
240/300=.8
.8=80%
CAN SOMEONE PLEASE HELP ME FAST???
Answer:
Graph part: Find where it says each letter on the grph and put in the following numbers:
2 -140
4 -280
9 -630
To plot your points:
1 point: find 2 on the X axis and find 140 on the Y axis, plot a point there. For the next 2 points, do the same thing. Find 4 on the X, go up to 280 on the Y.
Step-by-step explanation:
The question says that there are 70 people in a group. Its then asks who many people would be in 2, 4, and 9 groups. Just muliply to get each answer and put it in the graph.
Mrs. Flossi is hosting a trivia contest for 40 students and 24 staff members. To be fair,
Mrs. Flossi wants there to be the same number of students and the same number of
staff members on each team.
What is the greatest number of teams Mrs. Flossi can make?
1. 3 teams
2. 4 teams
3. 5 teams
4.8 teams
(I WILL GIVE BRAINLIEST)
Answer:
8 teams is answer
Step-by-step explanation:
Evaluate f(x)+g(x)
f(x)=3x+4 g(x)=6x+1
Answer:
4
Step-by-step explanation:
I took it on the test its 4
HELP PLEASE WILL GIVE BRAINLIEST!
Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in the work week. She set a goal for herself to knit at least 17 scarves and at the most 19 scarves this week. Eve wants to know how many scarves she should knit each day to meet her goal.
Which inequality represents the given situation?
A.
17 ≤ 2x - 9 ≤ 19
B.
17 ≥ 2x + 9 ≥ 19
C.
17 ≤ 2x - 9 ≥ 19
D.
17 ≤ 2x + 9 ≤ 19
pls help with the picture above!
Answer:
Distance=y•x
Step-by-step explanation:
You need to multiply the time by the distance to get the total distance e oer hour
Help me please ok thank you ._.
Answer:
its ur dad
Step-by-step explanation:
Please answer the top half ASAP I need it in 2h please
Answer:
4/76/1112/1719/3010/177/1511/288/217/323/493/71/24/75/223/73/41/31/103/81/23/84/765/1688/2140/634/31/29/79/521/44⚠️⚠️marking brainliest⚠️⚠️
It’s a math question :((
Answer:
slope: 3 y-intercept: 9
Step-by-step explanation: 19-10 is 9, and 6-3 is 3 9/3 is 3.
28-19 equals 9. 19-10 is 9, so 9 fills out that blank beside 10.
Answer:
slope is 3 and in the blank goes 1. and y intercepts line at y=1
How do you workout the fraction 3/4 + 1/8
Answer:
The LCM for 4 and 8 is 8. Add both numerator and rewrite it in a single form. By using LCM method, 7/8 is the equivalent fraction by adding 3/4 and 1/8.
Hope This Helps!!! Have a great day!
<3<3
Answer:
[tex]\frac{7}{8}[/tex] or [tex]\mathrm{Decimal:\ }\:0.875[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}+\frac{1}{8}[/tex]
lcm of 4 and 8 is 8
adjust the fraction base on the lcm
[tex]=\frac{6}{8}+\frac{1}{8}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:[/tex][tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:6+1=7[/tex]
[tex]=\frac{7}{8}[/tex]
Someone please help me with this I really don’t know it ASAP
Answer:
light blue D-E
Step-by-step explanation:
it is a 180 and leads to F if you continue with the line
yur welcome
Which fractions are equivalent to
-? Check all that apply.
12
Answer:
2/3
24/36
32/48
are all equivalent to 8/12
Answer:
32/48
Step-by-step explanation:
32 divided by 4 is 8
48 divided by 4 is 12
Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.
x 1 2 3 4
f(x) 3 9 27 81
Arithmetic, common difference = 3
Arithmetic, common difference = 6
Geometric, common ratio = 3
Geometric, common ratio = 6
Answer:
C. Geometric, common ratio = 3
Step-by-step explanation:
Got it right
Answer:
C
Step-by-step explanation: