Answer:
0.438
Step-by-step explanation:
Given the data:
980.9, 1036.5, 1099.5, 1153.9, 1409.0, 1456.4, 1718.4, 1721.2
Coefficient of skewness:
3 * (mean - median) / standard deviation
The mean of the dataset :
Σ(X) / N ; N = sample size = 8
980.9+1036.5+1099.5+1153.9+1409.0+1456.4+1718.4+1721.2
= 10575.8 / 8
= 1321.975
Median :
980.9, 1036.5, 1099.5, 1153.9, 1409.0, 1456.4, 1718.4, 1721.2
1/2(n + 1)th term
1/2(9) = 4.5th term
(1153.9+1409.0) / 2
= 1281.45
Standard deviation:
Sqrt[Σ(X - mean)²/ (N - 1)]
Using calculator :
Standard deviation estimate of population = 277.882456
Coefficient of skewness :
3(1321.975 - 1281.45) / 277.882456
121.575 / 277.882456
= 0.4375051
= 0.4375
Using software excel :
Using excel's AVERAGE, MEDIAN and STDEV.P functions, the Coefficient of skewness can be obtained using the formula :
3 * (mean - median) / standard deviation
Coefficient of skewness obtained is 0.438
Please help with answer solution clearly shown--thx!
Answer:
Step-by-step explanation:
First you have to multiply both sides by 4
4 (3x - 1) by 4 > 3 x 4
Then simplify it:
3x-1 > 12
Now add one to both sides
3x - 1 + 1 > 12 + 1
Then simplify it again:
3x > 13
Now divide both sides by 3
3x ÷ 3 > 13 ÷ 3
Answer:
x = 13 ÷ 3
Which point represents the outlier in the scatter plot?
OA (2,4)
OB (5,10)
OC (9,10)
OD (10,9)
The zoo charge $4.50 admission fee along with a $1.50 charge for each exhibit you visit. Which following graph represents this situation? X + = number of exhibit, y= the total cost.
Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she travels one way to get to work? A. 11 miles B. 12 miles C. 22 miles D. 33 miles
Answer:
d it definitly dddddddddddddddddddddddddddddd
Step-by-step explanation:
because
Answer: B?
Step-by-step explanation:
The values of x and y are directly and one pair of values are given.
write an equation that relates x and y. simplify completely.
x= -4, y =6
Answer:
The relation is [tex]y = -1.5x[/tex]
Step-by-step explanation:
x and y are directly proportional:
This means that the equation is given by:
[tex]y = ax[/tex]
In which a is the multiplier that relates these two variables.
x= -4, y =6
We use this to find a. So
[tex]y = ax[/tex]
[tex]6 = -4a[/tex]
[tex]a = -frac{6}{4}[/tex]
[tex]a = -1.5[/tex]
So
The relation is [tex]y = -1.5x[/tex]
105 − 84 84 simplify into a decimal
Answer:
0.21
Step-by-step explanation:
105-84=21 then you convert the 21 into 21 hundredths
Orlando bought a pair of shoes that was on sale for $30 off. The original price of the shoes was $112. What was the sale price of the shoes with an 8% sales tax? $
Step-by-step explanation:
$112. - $30 = $82.00
$82.00
x. .08
= $6.56 sales tax
$82.00 + $6.56 = $88.56 total price after tax
PLEASE PLEASE ANSWER ITS SO EASY
Four friends order a 12" pizza to share. If
they share the pizza equally, how many
square inches would each person get?
*round to the nearest inch*
a. 113 sq. inches
b. 9 sq. in.
c. 113 sq. in.
d. 28 sq. in.
Answer:
b
Step-by-step explanation:
To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied
by before adding the equations together?
First equation: 6x-5y=17
Second equation: 7x + 3y = 11
The first equation should be multiplied by 3 and the second equation by -5.
O The first equation should be multiplied by 3 and the second equation by 5.
O The first equation should be multiplied by 7 and the second equation by -6.
The first equation should be multiplied by 7 and the second equation by 6.
Based on the equation, to eliminate the x terms and solve for y in the fewest steps; the first equation should be multiplied by 3 and the second equation by 5.
Simultaneous equation6x - 5y = 17
7x + 3y = 11
Using elimination method
Multiply equation (1) by 3 and (2) by 518x - 15y = 51
35x + 15y = 55
Add the equation18x + 35x = 51 + 55
53x = 106
x = 106/53
x = 2
Substitute x = 2 into6x - 5y = 17
6(2) - 5y = 17
12 - 5y = 17
-5y = 17 - 12
-5y = 5
y = 5/-5
y = -1
Therefore, the solution to the simultaneous equation; 6x - 5y = 17, 7x + 3y = 11 is x = 2 and y = -1
Learn more about simultaneous equation:
https://brainly.com/question/16863577
#SPJ1
Draw a balanced hanger diagram for the equation 2x=4
Step-by-step explanation:
3360832553 ____ pass___ wZE2XQ
Answer:
See the attached picture.
Step-by-step explanation:
I had to look up 'balanced hanger' because that was not a term from my own math education, but I found it no problem.
See the attached picture.
There are 2 x's on the left and 4 1's on the right.
This means the equation has 2 x's on the left of the equal sign and 4 1's on the right.
Each unit of different size should be in a different shape.
The idea is that the hanger 'balances', just like a set of scales, or the same way an equation balances both sides.
Hope this helps.
A machine at Pepco Inc that fills soft drink cans advertised to contain 12 oz of soft drink actually dispenses a volume (V) per can that is normally distributed with mean 11.8 oz and standard deviation 0.2 oz. Government regulations require that at least 99% of the cans advertised as containing 12 oz of soft drink actually contain 11.6 oz or more. Quality control statisticians are hired to use probability to design quality control experiments that constantly monitor the filling process to guarantee that this regulation is respected. The departure from 12 oz is due to chance. The quality control statistician is not there to make the volume exactly 12 oz but to make sure that there are no systematic departures from it, such as always overfilling or always underfilling, which would indicate that the machine is broken.
Required:
a. Suppose that you are the inspector for the Government regulatory agency. Is Pepco Inc following government regulations?
b. Pepco Inc. is a multinational with 1000 branches all over the world. All their filling machines are as described in part (a). What is the probability that more than 700 of these machines a randomly chosen can contains less than 11.6 oz of soft drink?
Answer:
a). No, Pepco Inc. do not follow the regulations of the government as at least 99% of the cans that are advertised contains 12 oz of the soft drinks actually contains 11.6 oz or more than that.
b). The probability of having more than 700 of the machines at randomly chosen contains less than 11.6 oz of the soft drinks is -15.87%.
Step-by-step explanation:
It is given that :
Mean, [tex]$\mu = 11.8 $[/tex]
Standard deviation, [tex]$\sigma = 0.2$[/tex]
Thus we have to compute [tex]$Pr(X \leq 11.6)$[/tex].
The corresponding z - value to be computed is :
[tex]$Z = \frac{X - \mu}{\sigma}$[/tex]
[tex]$Z = \frac{11.6-11.8}{0.2}$[/tex]
= -1
Therefore,
[tex]$Pr(X \leq 11.6)$[/tex] [tex]$=Pr(Z \leq \frac{11.6-11.8}{0.2})$[/tex]
[tex]$=Pr(Z \leq -1)$[/tex]
= 0.1587
Now, as stated the government regulations requires that at least 99% of the cans that are advertised contains 12 oz of the soft drinks actually contains 11.6 oz or more. However we can compute tha there are as large as 15.87% of the total cans having soft drinks below 11.6 oz.
Thus, it means only 84% approx. of the cans have soft drinks more than 11.6 oz.
Therefore we conclude that Pepco Inc does not follow government regulations of keeping the amount of soft drink at least 11.6 oz.
Find the value of x. Answer quickly, awarding a lot of points, will give brainliest
Answer:
120º
Step-by-step explanation:
the arrow of x and 40º seem parallels so 180-40=140º
and because there is that 20º angle its 140-20=120º
Angle A is circumscribed about circle O.
What is the measure of
Answer:
[tex] m\angle O = 134 \degree[/tex]
Step-by-step explanation:
AC and AB are tangents to the circle with center O on points C and B respectively from point A.
Therefore
[tex] m\angle ACO=m\angle ABO=90\degree [/tex]
[tex] m\angle CAB=46...(given) \degree [/tex]
[tex]m\angle O = 360 \degree - (2 \times 90 \degree + 46 \degree) \\ \\ m\angle O = 360 \degree - (180 \degree + 46 \degree) \\ \\ m\angle O = 360 \degree - (226 \degree) \\ \\ m\angle O = 134 \degree\\ \\ [/tex]
what is the equation of the line that passes through the points (0,6) and (-3,2) put your answer in fully reduced form
Answer:
y = mx+b, or mx+b = y
Step-by-step explanation:
y = .75x + 6
3 2/3 of 4/5 of pizza equals how many pizza
Answer:
11/3 x 4/5 = 44/15 = 2 14/15
the perimeter of a triangle is represented by 3x² +8x-9. Two of its sides are represented by (x²+11x+5) and (-2x²-4x+2) What expression would represented the third side
Answer:
The third side has a length of 4x² + x - 16
Step-by-step explanation:
We can solve this by taking the value given for the perimeter, and subtracting the values of the other two sides:
3x² + 8x - 9 - (x² + 11x + 5) - (-2x² - 4x + 2)
= 3x² + 8x - 9 - x² - 11x - 5 + 2x² + 4x - 2
= (3 - 1 + 2)x² + (8 - 11 + 4)x - (9 + 5 + 2)
= 4x² + x - 16
50 points!! Please help!! Will mark brainliest and random answers will be reported
Answer:
A. No, not enough informationStep-by-step explanation:
Given two triangles which have two congruent sides and the congruent non-included angle.
This information is not enough to state that the triangles are congruent.
Correct choice is A
pleeeaaaaaaassssssseeeeee help with this for brainlist and 5 stars
1.A) Any number x multiplied by [tex]\frac{1}{2}[/tex] will be less than the original x.
1.B)
[tex]\frac{4}{4}[/tex] = 1, so B
[tex]\frac{6}{4}[/tex] = 1.5, so F
The rest are similar.
2) There are 4 quarts in a gallon, so calculate the number for 2 gallons.
3) 4 ÷ [tex]\frac{1}{6}[/tex] is the same as 4 × 6
4) Follow PEMDAS rules, Parenthesis first, division and multiplication next, then finally addition.
Please help for brainliest
Answer:
I think it would be R and S
Step-by-step explanation:
Because if you graph these they make a slope but if you graph T it's just straight line.
find the area
__________
Answer:
21+10.5
=31.5 ²
....
...
....
14 POINTS PLEASE HELP
Answer:
5 cars and 3 busses
Step-by-step explanation:
question down below thanks
sin 60 = sin 30 prove it
Answer:
Mr. your question is wrong...
and you give me funny answer on my question...
Please give me an explanationnnnnnn
Answer:
(5,11)
Step-by-step explanation:
c= 6+s
c=6+5
c=11
(5,11)
Hope this helps! :)
Answer: B. (5,11)
Step-by-step explanation:
c = 6 + 1s In this case we know that c is your total cost and s is the number of downloaded songs.
If we were to do it in terms of x and y, y will be c, and x will be s.
Now is asking for the cost of 5 songs, so you will input the value 5 into the equation for s and solve for c.
c = 6 + 1(5)
c = 6 + 5
c = 11
Now we know that for 5 songs it will cost you $11, and if x is the same as the number of songs, and y is the total cost then we can say that the point will be,
(5,11)
I am to tired for this and the teacher is probably gonna email my mom help
Answer:
I think b
Step-by-step explanation:
Answer:
(7,5)
Step-by-step explanation:
You could understand it better if you made the line more visible.
Another equation for line C is y = 6.
Any point with a y-coordinate less than 6 will be plotted under the line.
The temperature increased 12 degrees F between 9 am and noon. It decreased 9 degrees F between noon 6pm. If the temperature was 45 degrees F at 9am what was the temperature at 6pm
The owners of the Burger Emporium are looking for new supplier of onions for their famous hamburgers. It is important that the onion slice be roughly the same diameter as the hamburger patty. After careful analysis, they determine that they can only use onions with diameters between 9 and 10 cm. Company A provides onions with diameters that are approximately normally distributed with mean 10.3 cm and standard deviation of 1.2 cm. Company B provides onions with diameters that are approximately normally distributed with mean 10.6 cm and standard deviation of 0.9 cm. Which company provides the higher proportion of usable onions? Justify your choice with an appropriate statistical argument using proportions.
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Let assume that X and Y reflect the diameters of onions by companies A and B.
[tex]\to P(9<X<10) = P(\frac{9-10.3}{1.2} < Z < \frac{10-10.3}{1.2} )\\\\[/tex]
[tex]= P(-1.0833 < Z < -0.25)\\\\= P(Z < -0.25) - P(Z<-1.0833)\\\\= 0.2620\\\\\\[/tex]
[tex]\to P(9<Y<10) = P(\frac{9-10.6}{0.9} < Z < \frac{10-10.6}{0.9} )\\\\[/tex]
[tex]= P(-1.7778 < Z < -0.6667)\\\\= 0.2148\\\\[/tex]
As a result, onions through company A are chosen and they're more likely to be accepted.
A ski hat is priced at 19.50 and a pair of ski boots are priced at 85.50. If the sales tax rate is 7%, then what is the total cost of the ski hat and ski boots
Answer:
The total cost of the ski hat and the ski boots is $112.35.
Step-by-step explanation:
First, we need to add the prices of the ski hat and the ski boots.
85.50 + 19.50 = $105
Now, we need to find 7% of $105, and then add it to the total.
105 x 0.07 = $7.35
105 + 7.35 = $112.35
Therefore, the total cost of the ski hat and the ski boots is $112.35.
Let me know if this helps!
Jason owns a cabin that he rents to people for a maximum of 21 nights. He uses the function f(x) = 175x + 50 to calculate the rental cost for nightsWhat is the domain for the function in this context?
Answer:
domain: all natural numbers greater than zero and less than or equal to 21
Step-by-step explanation:
You cannot go for zero nights, and the maximum number of nights you can stay is 21. You also cannot have fractional night, so your answer has to be in natural numbers.
which of the following statements are not true regarding functions?
Answer:
what's the answers for the question