Answer:
standard deviation=4.472
variance=8.94437
The variance and standard deviation of the sample with data values of 7, 19, 8, 15, and 11 are 25 and 5 respectively.
What is a variance?A variable's value change could be accompanied by changes in other, related variables in a variety of ways. Variation refers to the relationship between the change in a variable's value when the values of the linked variables change.
Given:
The sample data = 7, 19, 8, 15, 11,
Calculate the Variance by the following formula,
Variance = Σ(xⁿ -m)² / t -1
Here x is the value of observation, m is the mean, and t is the total no of data.
For mean = (7+19+8+15+11) / 5
m = 12
Now substitute the values in the variation formula,
Variance = (12-7)²+(12-19)² + (12-8)² + (12-15)² +(12-11)² / 5-1
Variance = (25 + 49 + 16 + 9 + 1) /4
Variance = 25
And for deviation = [tex]\sqrt{variance}[/tex]
Deviation = [tex]\sqrt{25}[/tex]
Deviation = 5
Therefore, the variance and standard deviation of the sample with data values of 7, 19, 8, 15, and 11 are 25 and 5 respectively.
To know more about variance:
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is 9.75 a rational number?
Answer:
yes, 9.75 is a rational number.please solve the question. unit 10: circles homework 2: Central angles, arc measures, and arc length.
Answer:
Step-by-step explanation:
(9x-22) + 61 + (5x-7) + 34 = 360
14x = 294
x = 21°
:::::
arc GK = 9x-22 = 167°
:::::
arc HJ = 5x-7 = 98°
:::::
arc HGK = arc GK + 61 + 34 = 262°
:::::
arc GKJ = arc GK + 34 = 201‡
Angles in a circle add up to 360 degrees.
[tex]\mathbf{x = 21}[/tex][tex]\mathbf{GK = 167}[/tex][tex]\mathbf{HJ = 98}[/tex][tex]\mathbf{HGJ = 262}[/tex][tex]\mathbf{GKJ = 201}[/tex]The given parameters are:
[tex]\mathbf{GH = 61}[/tex]
[tex]\mathbf{HJ = 5x - 7}[/tex]
[tex]\mathbf{JK = 34}[/tex]
[tex]\mathbf{KG = 9x - 22}[/tex]
The sum of angles in a circle is 360 degrees.
So, we have:
[tex]\mathbf{GH + HJ + JK + KG=360}[/tex]
So, we have:
[tex]\mathbf{(9x-22) + 61 + (5x-7) + 34 = 360}[/tex]
[tex]\mathbf{14x = 294}[/tex]
Divide both sides by 14
[tex]\mathbf{x = 21}[/tex]
GK is calculated as:
[tex]\mathbf{GK = 9x - 22}[/tex]
[tex]\mathbf{GK = 9 \times 21 - 22}[/tex]
[tex]\mathbf{GK = 167}[/tex]
HJ is calculated as:
[tex]\mathbf{HJ = 5x - 7}[/tex]
[tex]\mathbf{HJ = 5 \times 21 - 7}[/tex]
[tex]\mathbf{HJ = 98}[/tex]
HGJ is calculated as:
[tex]\mathbf{HGJ = HG + GK + KJ}[/tex]
[tex]\mathbf{HGJ = 61 + 167 + 34}[/tex]
[tex]\mathbf{HGJ = 262}[/tex]
GKJ is calculated as:
[tex]\mathbf{GKJ =GK + KJ}[/tex]
[tex]\mathbf{GKJ = 167 + 34}[/tex]
[tex]\mathbf{GKJ = 201}[/tex]
Read more about angles in a circle at:
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The total service time of a multistep manufacturing operation has a gamma distribution with mean 18 minutes and standard deviation 6 minutes.
(a) Determine the parameters alpha and lambda of the distribution. (solving these two parameters using the mean and the standard deviation)
(b) Assume that each step has the same exponential distribution for service time. What distribution for each step and how many steps produce this gamma distribution of total service time?
Answer:
The answer is "[tex]\bold{r=9, \lambda=\frac{1}{2}\ and \ \ \text{exponential, 9 steps}}[/tex]"
Step-by-step explanation:
In point a:
We are aware of the random gamma variable X:
[tex]\to \mathbb{E} =\frac{r}{\lambda}\\\\\to Std(X) =\frac{\sqrt{r}}{\lambda}\\\\[/tex]
It is given:
[tex]\to \mathbb{E} = 18 \\\\\to std(X)=6[/tex]
[tex]\to 18=\frac{r}{\lambda}\\\\ \to 6=\frac{\sqrt{r}}{\lambda}\\\\[/tex]
Substituting the value:
[tex]\to \frac{\sqrt{r}}{6}=\frac{r}{18}\\\\\to r=9\\\\\to \lambda=\frac{1}{2}\\\\[/tex]
In point b:
When building the Erlang/Gammas distribution, these could reasonably be assumed to become an exponential distribution only with \lambda = 1/2 parameter with one step but to be r = 9 for one step.
mr sigmon has 24 students in his classroom 1/4 of them are girls
Answer:
6 of his class are girls
Step-by-step explanation:
24/4=6
A ball is thrown straight up into the air. The height of the ball t seconds after it is thrown is modeled by the equation h(t) = 48t – 16t2. After how many seconds will the ball hit the ground?
A. 1
B. 1.5
C. 3
D. 3.5
Answer:
b
Step-by-step explanation:
gravity
B
40
24
С
A
b
Find the length of “b” using
the Pythagorean Theorem.
Enter
Answer:
Look up Trigonometry Calculator and Put in the sides it helps a lot
Step-by-step explanation:
Question 2 of 10
What is the slope-intercept equation of the line below?
O A. y = -2x-3
O B. y = -2x + 3
O C. y = 2x-3
O D. y = 2x + 3
Answer:
y=2x-3
Step-by-step explanation:
First we find the y-intercept of this graph whic in this case is -3. Then we plot two pints on the graph and caculate the rise over run which is 2/1=2. Finally, we get the equation- y=2x-3.
In ΔMNO, the measure of ∠O=90°, the measure of ∠N=38°, and OM = 87 feet. Find the length of NO to the nearest tenth of a foot.
Answer:
111.4
Step-by-step explanation:
trust
What is the measure of angle B?
Triangle A B C. Angle A is 50 degrees and angle C is 28 degrees.
78°
92°
102°
282°
Answer is 103
- took the test on edge!
- Have a good day :)
If 26 feet 10 inches is cut from a wire that is 44 feet 8 inches long what is the length of wire that is left ?
Answer:
17 feet 10 inches
Step-by-step explanation:
26 feet 10 inches is cut from a wire that is 44 feet 8 inches
Therefore the length of wire that is left can be calculated as follows
44 feet 8 inches - 26 feet 10 inches
= 17 feet 10 inches
Need help with this question please !!!
Answer: 27
Step-by-step explanation:
workers are loading boxes onto a truck. So far, they have loaded 48 boves onto the truck. Acconding to their inventory, they still need to load 96% of the boxes on the truck. How many boxes do they need to load on the truck?
Answer:
1200 total boxes,
1152 more boxes need to be loaded
What proves angle BDE is congruent to CDE. ∆ADB and ∆ADC are congruent.
Answer: We will use the SAS (SIDE-ANGLE-SIDE) to prove that the two triangles are congruent. This states that if two sides and the included angle in one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
First line
First column: AB is congruent to CB Second column: Given
Second line
First column: angle ABD is congruent to angle CBD Second column: Given
At this point we have the SIDE-ANGLE portion of SAS. We just need the other side. We can see from the given angles that they both share a side...BD.
Third Line
First column: BD is congruent to BD Second column: Reflexive property
All that is left is to state SAS.
Fourth Line
First Column: Triangle ABD is congruent to triangle CBD Second column: SAS (from lines 1,2,3)
{362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4)
{362- {6x3+(48/2) x2]}+3(9+4)
{362- {6x3+24 x2]}+3(9+4)
{362- 66+3(9+4)
{362- 66+3(9+4)
{296+3(13)}
(296+39)
335
hope this help you
have a good day
Answer:
290Step-by-step explanation:
Solving with one operation at each step:
{362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4) ={362 – [63 + 24 x 2]} + 3(9 +4) =[362 – (63 + 48)] + 3(9 +4) =(362 – 111) + 3(9 +4) = 251 + 3(13) = 251 + 39 =2903^5 + 6^3 evaluate the expression
Answer:
459
Step-by-step explanation:
because 3^5 is 243 and 6^3 is 216 then add up 243+216=459
Fill in the blank so that the ordered pair is a solution of y = 6x +7: 4,25)
a) 13
b) 1
c) 18
d) 3
Answer:
it is either A OR B
Step-by-step explanation:
10 PONITS
Can someone help me
Answer:
1st step
Step-by-step explanation:
7/10 is greater than 1/2
Answer:
Step 1
Step-by-step explanation:
Parker ran 600 meters, 7 kilometers, and 1,000 centimeters.
How many meters did he run all together?
Answer:
7610 m
Step-by-step explanation:
600m = 600m
7km = 7000m
1000cm = 10m
The required distance = 600 + 7000 + 10 = 7610 m
patrick walks at 6/8 kilometer per 8 hour. how far will he in 5 hours?
Answer:
In 5 hours, he will go 3 ¾ kilometers far.
Step-by-step explanation:
34,977 ×2,344 is even are odd number
Answer:
81986088
its even
Step-by-step explanation:
just look it up on your search bar? Im confused on what your asking. Sorry if I answered wrong
Assume that customers arriving at a DMV are requested to fill out an optional survey. Assume that one of the survey questions asks customers to rate the quality of the service provided at the DMV. Customers typically assess service quality on different dimensions. We highlighted some of these dimensions in BA270. These highlighted dimensions are:
Answer:
b. Timeliness, Assurance, Needs, Reliability and Empathy.
Step-by-step explanation:
The customer rating is necessary for a business to improve its performance. A company will be able to improve its customer service based on customer reviews and feedback. The feedback of the customers is important in terms of service provision whether they rate the company based on responsiveness to the queries, timeliness of query resolution and other similar criteria.
Find the radius or diameter of the circle with the given dimentions.
r = 21 ft
Answer Choices:
a. 50 ft
b. 42 ft
c. 131.9 ft
d. 10.5 ft
Answer:
b. 42
Step-by-step explanation:
Your trying to find the diameter since radius is r
diameter is always double of radius
How many license plate numbers consisting of three letters followed by
two numbers are possible when repetition is not allowed?
In which number is the value of the digit in the hundreds place one-tenth the value of the digit in the thousands place?
A. 384,403
B. 655,286
C. 887,510
D. 909,273
Answer:
A.
Step-by-step explanation:
I'm pretty sure that's right.
what is 5+5
drop i.n.s.t.a for points
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Please send help. I really need this asap
Answer:
Part a) The area of the figure is [tex]\frac{9}{2} (4+\pi ) cm^{2}[/tex]
Part b) The perimeter of the figure is [tex]3(2+2\sqrt{2} +\pi )cm[/tex]
A manufacturer of a new nicotine nasal spray claims that their product has a 30% success rate for smoking cessation. In a clinical study involving 150 smokers, 93 of them quit smoking. Test the hypothesis that the success rate claimed by the manufacturer is valid at the 5% level of significance.
answer:
we reject null and conclude that this manufacturers claim is false
Step-by-step explanation:
p = 30% = 0.30
p^ = 93/150 = 0.62
we state the hypothesis
H0: p = 0.30
h1: p not equal to 0.30
we find the z test stattistics
[tex]z=\frac{p^--p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
[tex]z=\frac{0.62-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }[/tex]
[tex]z=\frac{0.32}{\sqrt{\frac{0.30*0.70}{150} } }[/tex]
[tex]z=\frac{0.32}{0.03741}[/tex]
z = 8.5538
at alpha = 0.05
z-critical = Z₀.₀₅/₂ = Z₀.₀₂₅
= 1.96
we compare z critical with the test statistic
z statistic > z critical so we have to reject H₀ and conclude that the manufacturers claim is not valid at 0.05 level of significance.
Use the Distributive Property to correctly rewrite or simplify the expression:
21k+13k+9k
Answer:
21k+9k+13, and simplified into 43k.
Step-by-step explanation:
The distributive property means that you can put addends or factors in any order to get the same result(9+1=10, 1+9=10)
21k+13k+9k can be re-written into 21k+9k+13, and simplified into 43k.
Answer:
43k
Step-by-step explanation:
HELP PLEASE
(Look at the picture)
A. 100
B. 130
C. 160
D. 200
E. 260
Answer: I think it B (130)
Step-by-step explanation: .........
the measures of the angles of a triangle are shown below. solve for x
Answer:
x = 7
Step-by-step explanation:
As in right triangle, the other two angles sum up equal to 90 degree, so 6x + 15 + 33 = 90, then solve for x, 6x = 90 - 15 - 33 = 42, then x = 7.