Answer:
[tex]\begin{array}{ccccccccccccccc}{1} & {3} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {57} & {58} & {61} \\ \end{array}[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {[ \ ]} \\ \end{array}[/tex]
Required
Fill in the box
From the question, the range is:
[tex]Range = 60[/tex]
Range is calculated as:
[tex]Range = Highest - Least[/tex]
From the box, we have:
[tex]Least = 1[/tex]
So:
[tex]60 = Highest - 1[/tex]
[tex]Highest = 60 +1[/tex]
[tex]Highest = 61[/tex]
The box, becomes:
[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]
From the question:
[tex]IQR = 20[/tex] --- interquartile range
This is calculated as:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]Q_3[/tex] is the median of the upper half while [tex]Q_1[/tex] is the median of the lower half.
So, we need to split the given boxes into two equal halves (7 each)
Lower half:
[tex]\begin{array}{ccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } \\ \end{array}[/tex]
Upper half
[tex]\begin{array}{ccccccc}{[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]
The quartile is calculated by calculating the median for each of the above halves is calculated as:
[tex]Median = \frac{N + 1}{2}th[/tex]
Where N = 7
So, we have:
[tex]Median = \frac{7 + 1}{2}th = \frac{8}{2}th = 4th[/tex]
So,
[tex]Q_3[/tex] = 4th item of the upper halves
[tex]Q_1[/tex]= 4th item of the lower halves
From the upper halves
[tex]\begin{array}{ccccccc}{[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]
We have:
[tex]Q_3 = 32[/tex]
[tex]Q_1[/tex] can not be determined from the lower halves because the 4th item is missing.
So, we make use of:
[tex]IQR = Q_3 - Q_1[/tex]
Where [tex]Q_3 = 32[/tex] and [tex]IQR = 20[/tex]
So:
[tex]20 = 32 - Q_1[/tex]
[tex]Q_1 = 32 - 20[/tex]
[tex]Q_1 = 12[/tex]
So, the lower half becomes:
Lower half:
[tex]\begin{array}{ccccccc}{1} & {[ \ ]} & {4} & {12 } & {15} & {18}& {[ \ ] } \\ \end{array}[/tex]
From this, the updated values of the box is:
[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]
From the question, the median is:
[tex]Median = 22[/tex] and [tex]N = 14[/tex]
To calculate the median, we make use of:
[tex]Median = \frac{N + 1}{2}th[/tex]
[tex]Median = \frac{14 + 1}{2}th[/tex]
[tex]Median = \frac{15}{2}th[/tex]
[tex]Median = 7.5th[/tex]
This means that, the median is the average of the 7th and 8th items.
The 7th and 8th items are blanks.
However, from the question; the mode is:
[tex]Mode = 18[/tex]
Since the values of the box are in increasing order and the average of 18 and 18 do not equal 22 (i.e. the median), then the 7th item is:
[tex]7th = 18[/tex]
The 8th item is calculated as thus:
[tex]Median = \frac{1}{2}(7th + 8th)[/tex]
[tex]22= \frac{1}{2}(18 + 8th)[/tex]
Multiply through by 2
[tex]44 = 18 + 8th[/tex]
[tex]8th = 44 - 18[/tex]
[tex]8th = 26[/tex]
The updated values of the box is:
[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]
From the question.
[tex]Mean = 26[/tex]
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
So, we have:
[tex]26= \frac{1 + 2nd + 4 + 12 + 15 + 18 + 18 + 26 + 29 + 30 + 32 + 12th + 58 + 61}{14}[/tex]
Collect like terms
[tex]26= \frac{ 2nd + 12th+1 + 4 + 12 + 15 + 18 + 18 + 26 + 29 + 30 + 32 + 58 + 61}{14}[/tex]
[tex]26= \frac{ 2nd + 12th+304}{14}[/tex]
Multiply through by 14
[tex]14 * 26= 2nd + 12th+304[/tex]
[tex]364= 2nd + 12th+304[/tex]
This gives:
[tex]2nd + 12th = 364 - 304[/tex]
[tex]2nd + 12th = 60[/tex]
From the updated box,
[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]
We know that:
The 2nd value can only be either 2 or 3
The 12th value can take any of the range 33 to 57
Of these values, the only possible values of 2nd and 12th that give a sum of 60 are:
[tex]2nd = 3[/tex]
[tex]12th = 57[/tex]
i.e.
[tex]2nd + 12th = 60[/tex]
[tex]3 + 57 = 60[/tex]
So, the complete box is:
[tex]\begin{array}{ccccccccccccccc}{1} & {3} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {57} & {58} & {61} \\ \end{array}[/tex]
What is the answer to
8/12 = ?/3
Answer:
2/3 is the answer.
Its divided by 4...
Hope it helps!!!
Answer:
2/3(Bolded number is the answer)
Step-by-step explanation:
8/12(divide by 4)
?/3
So, you get 2 as 8 divided by 4 is 2.
A 30°- 60°- 90° triangle is shown below. Find the length of a and b. * leave the answer in simplified radical form*
Step-by-step explanation:
a = 12√3
b = 24
hope this helps
For questions 3 that’s all i need help please !!! For a test and please put your answers below !!!
Answer:
D) 1078
Step-by-step explanation:
Which points on this vertical number line best represent the locations of 2.5 and
A: G and J
B: G and K
C: H and I
D: H and J
find the solution of the system of equations
Answer:
( -2 , 1 )
Step-by-step explanation:
••••••••
sorry no explanation for today
Which of the following is a unit rate?
55 miles / 2 hours
2 pounds per 32 ounces
6 miles per minute
21 days in 3 weeks
Answer:
Lets be honest we all come to this website just to get answers but the answer would be either C or A
Step-by-step explanation:
Which of the following would be a correct interpretation of a 99% confidence interval such as 4.15.6? Choose the correct answer below. A. We are 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of . B. It means that 99% of sample means fall between 4.1 and 5.6. C. It means that 99% of all data values are between 4.1 and 5.6. D. There is a 99% chance that will fall between 4.1 and 5.6.
Answer:
A. We are 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of population mean.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
99% confidence interval means that we are 99% sure that this interval contains the population mean.
Interval between 4.1 and 5.6.
So the correct answer is given by option A.
The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb. A sample of 40 is randomly selected and the average strength was found as 105lb. Let μ denote the average tuft strength. Could it be that the average tuft strength is above 100 lb? Based on the information, what should be the appropriate null and alternative hypotheses for the purpose of your analysis?
Answer:
The null hypothesis is: [tex]H_{0}: \mu = 100[/tex]
The alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]
Step-by-step explanation:
At the null hypothesis, we test if the mean is equal to a certain value.
At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.
The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.
This means that the null hypothesis is: [tex]H_{0}: \mu = 100[/tex]
Could it be that the average tuft strength is above 100 lb?
The world above means that the appropriate alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]
Can someone help me? I’ll reward points + brainalist (btw only need help with number 5)
Answer:
A. 55°
hope it can help you
The one highlighted is wrong please help
Answer:
The .79 correlation is strong and positive, but "significan" is a question not answered by the correlation coefficient. Many people mistake correlation for causation--one variable's change causing the other variable to change.
Pick the second answer.
Find a formula for a geometric sequence that begins with 11, -33, 99
Answer:
17
Step-by-step explanation:
The population of a city increases by 1% per year. If this year's
population is 264,000, what will next year's population be, to the nearest
individual?
Answer:
266640 population
Step-by-step explanation:
I’m not sure how I do this. Plz help me
Answer:
y = 3/4x - 2
Step-by-step explanation:
Given:
m = 3/4
b = -2
y = mx + b
m = slope
b = y-intercept
y = 3/4x - 2
f(x)=-x^2+x-5
What are the coordinates of the vertex of the parabola of the function ?
Answer: I took a screen shot of it hope it helps
Step-by-step explanation:
Can anyone help me with my homework
Answer:
A.
1) No
2)yes
3)yes
4)yes
5) it's not a function
Explain a method you could use to find 50% out of $24.
Answer:
$12
Step-by-step explanation:
50% means half of something. Like 50% of 20 is 10. 100% means the whole number. So, 50% is half of the number.
24 divided by 2 is 12.
Hope this helps !!
The verticals of ABC are A (-3,4), B (-2,4) and C(-4,2). ABC is reflected across the y-axis and then reflected across the x-axis to produce the image A”B”C. Graph ABC and A”B”C.
WHICH GRAPH SHOWS ABC AND A”B”C
Answer:
A
Step-by-step explanation:
If a circle has a circumference of 8.5 cm, what is the diameter of the circle to the nearest 0.1 cm?
Answer:
Step-by-step explanation:
2[tex]\pi[/tex]r = circumference
2[tex]\pi[/tex]r = 8.5 cm
[tex]\pi[/tex]r = 4.25 cm
r = 1.352817 cm
d = 2r
d= 2.705
diameter = 2.7 cm
bruce’s sock drawer contains 9 black socks, 4 white socks, and 12 Brown socks. Express shoes is a sock at random, what is the probability that he will choose a sock that is not brown.
A. 16/25
B. 13/25
C. 12/25
D. 9/25
Answer:
hdhdjidnd rkdb akkabdbnfjbf
dhideijd
eeijberb
Answer: I think its C (12/25) I'm not completely sure though.
Step-by-step explanation:
1. What is the opposite of 6.87?
Answer:
-6.87
Consider the opposite symbol
(Negative and Positive)
Evaluate the expression if b = -2/3 and c = 1/2.
2bc + 3b^2
Answer:
2/3
Step-by-step explanation:
2 (−2/3) (1/2) + 3 (−2/3)^2
= −4/3 (1/2) + 3 (−2/3)^2
= −2/3 + 3 (−2/3)^2
= −2/3 + 3 (4/9)
= −2/3 + 4/3
= 2/3
The circumference of a circle is 7π m. What is the area, in square meters? Express your answer in terms of π.
Answer:
12.25π m²
Step-by-step explanation:
Circumference = Diameter x pi
Area = radius squared (^2) x pi
7 divided by 2 = 3.5
3.5^2 = 12.25
12.25π
Answer:
A ≈ 3.9
Step-by-step explanation:
How to solve
Using the formulasA=πr2
C=2πr
Solving for AA=C2
4π = 72
4·π ≈ 3.8993
Therefore, the circle in square meters in the nearest tenths is A ≈ 3.9
How many miles are in 506,880 inches?
PLSSSSSSSSSSSSSSSSSSSSSS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
17925
Step-by-step explanation:
3(1/4)=3.25
simple interest formula:
PV(1+it)=FV
we will divide the 72 months to convert it into years
72/12=6
15000(1+.0325*6)=17925
Answer:
$17,295 will be in his account after 72 months.
Step-by-step explanation:
G.$17295
1 pts
Your school is having a drawing to give away two prizes to students with
perfect attendance. There are ten total students with perfect attendance in
the drawing and you and your best friend are two of those ten. What is the
probability that you and your friend would win the two prizes that your
school is giving away?
Answer:
20% im guessing bc they are out of ten people
Shim bougth a pair of shoes fo $600.If she got a discount of 30% ,home much did she paid for the shoes?
Answer:
she paid 420 dollars for it
Step-by-step explanation:
30 percent of 600 is 180
Solve this for me (geometry) ? It asks if it’s yes or no.
Answer:
Yes, it is
Step-by-step explanation:
Given
The attached image
Required
Is AB a tangent to the circle
From the attached circle, we can see that AP is the radius of the circle P.
And by definition, a tangent touches the circle at only one point.
Since AB touches the circle at only point A, then AB is a tangent.
Use Lagrange multipliers to find the maximum and minimum values of subject to the given constraint. Also, find the points at which these extreme values occur.
f(x, y) xy: 48x+3y2 3456
Enter your answers for the points in order of increasing x-value.
Maximum______
Minimum_______
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Given:
[tex]\to f(x,y)=xy\\\\\to 48x^2+3y^2=3456\\\\[/tex]
let [tex]\phi(x,y)=48x^2+3y^2=3456[/tex]
using the lagrange multiplies:
[tex]\bigtriangledown f=\lambda \bigtriangledown \phi\\\\i)\ \ y=96 \lambda x \to \lambda=\frac{y}{96\ x} \\\\ii)\ \ x=6 \lambda y \to \lambda=\frac{y}{6\ y} \\\\iii)\ \ 48x^2+3y^2=3456\\\\[/tex]
From equation (i) and (ii)\\\\
[tex]\to \frac{y}{96x}=\frac{x}{6y}\\\\\to 6y^2=96x^2\\\\\to 3y^2=48x^2\\\\[/tex]
From equation 3:
[tex]48x^2+48x^2=3456\\\\96x^2 3456\\\\x^2=36\\\\x=\pm 6\\\\\therefore 3y^2=48(36)\\\\3y^2=1728\\\\y^2=576\\\\y=\pm24\\\\(x,y)=(\pm 6,\pm 24)\\\\Maximum \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 144 \ \ \ \ at \ \ (6,24) \ \ \ \ \ \ \ and \ \ \ \ \ \ (-6, -24) \\\\Minimum \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -144 \ \ \ \ at \ \ (-6,24) \ \ \ \ \ \ \ and \ \ \ \ \ \ (6,-24)\\\\[/tex]
Which equation is NOT equivalent to p – 7 = 22? Select all that apply.
A. p – p – 7 = 22 – p
B. p – 7 – p = 22 – p
C. p – 7 + 22 = 22 – 7
D. p – 7 + 7 = 22 – 22
E. p – 7 + 7 = 22 + 7
Answer:
C. p - 7 + 22 = 22 - 7
D. p - 7 + 7 = 22 - 22
Step-by-step explanation:
p - 7 = 22
Add 7 to both sides
p = 29
An equivalent equation could be;
-7 = 22 - p
Gillian has completed 25% of a bicycle race. If the length of the race is 32 km, how many has she traveled so far?
800
80
8
8000
NO LINKS
Answer:
8 km
Step-by-step explanation:
0.25 x 32 = 8
