Listed below are the measured radiation absorption rates (in W/kg) corresponding to 11 cell phones. Use the given data to construct a boxplot and identify the 5-number summary.
1.26 0.98 1.07 0.97 1.28 0.89 1.14 0.58 1.42 0.59 0.96
The 5-number summary is :_______
Answers
Answer:
{ 0.58, 0.89, 0.98, 1.26, 1.42 }
Step-by-step explanation:
We are given the data set { 1.26, 0.98, 1.07, 0.97, 1.28, 0.89, 1.14, 0.58, 1.42, 0.59, 0.96 }, consisting of 11 elements, each the radiation of 11 cell phones.
To construct the " 5 - number summary " the first thing we want to do is arrange the numbers from least to greatest, to find the median of the data set,
{ 0.58, 0.59, 0.89, 0.96, 0.97, 0.98, 1.07, 1.14, 1.26, 1.28, 1.42 }
The median of this data set is thus 0.98 W / kg. Mind you the units are not required here!
____
Now that we have the median, we can determine the first and third quartile, which are simply medians of the data set to the left and right of the median,
{ 0.58, 0.59, 0.89, 0.96, 0.97, 0.98, 1.07, 1.14, 1.26, 1.28, 1.42 }
[tex]Q_1[/tex] = 0.89, [tex]Q_3[/tex] = 1.26
And of course the minimum and maximum of the data set are given to be 0.58, and 1.42
____
We have our 5 - number summary now! This includes the minimum, first quartile, median / second quartile, third quartile, and maximum values, in that order -
The 5 - number summary is { 0.58, 0.89, 0.98, 1.26, 1.42 }
And, your box and whisker plot is shown in the attachment below!
Related Questions
The lengths of a rectangle have been measured to the nearest tenth of a centimetre they are 87.3cm and 51.8cm what is the upper bound for the area?
Answers
Given:
The lengths of the rectangle have been measured to the nearest tenth of a centimetre 87.3 and 51.8
To find:
the upper bound for the area of the rectangle
Solution:
From given, we have,
The length of the rectangle = l = 87.3 cm
The breadth of the rectangle = b = 51.8 cm
Area of the rectangle = lb = 87.3 × 51.8 = 4522.14 cm²
The upper bound for the area of the rectangle = 4522.14 + 100/2 = 4522.14 + 50 = 4572.14 cm²
A shape drawn on a square grid. more than one of the words listed can describe the shape select the words that can describe
Answers
Answer:
A and D
Step-by-step explanation:
Quadrilateral is a four sided figure
Parallelogram is a quadrilateral with two pairs of parallel sides
Describe the possible echelon forms of a nonzero 2 x 2 matrix.
Answers
Answer:
we approach the issue by taking note of that a 2 x 2 matrix can either have 1 0r 2 pivot columns. If the matrix has no pivot columns then every entry in the matrix must be zero.
-> if our matrix has two pivot columns then : [tex]\left(\begin{array}{rr}-&*&0&-\end{array}\right)[/tex]
-> if our matrix has one pivot column then we have a choice to make. If the first column is pivot column then: [tex]\left(\begin{array}{rr}-&*&0&0\end{array}\right)[/tex]
->otherwise, if the pivot column is the second column then: [tex]\left(\begin{array}{rr}0&-&0&0\end{array}\right)[/tex]
The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds. If a college football player is randomly selected, find the probability that he weighs between 170 and 220 pounds. Round to four decimal places.
Answers
Answer:
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 200, \sigma = 50[/tex]
Find the probability that he weighs between 170 and 220 pounds.
This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.
X = 220
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{220 - 200}{50}[/tex]
[tex]Z = 0.4[/tex]
[tex]Z = 0.4[/tex] has a pvalue of 0.6554
X = 170
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{170 - 200}{50}[/tex]
[tex]Z = -0.6[/tex]
[tex]Z = -0.6[/tex] has a pvalue of 0.2743
0.6554 - 0.2743 = 0.3811
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
which of the following in order from the least to the greatest?
.321,.33,.4
.598,.409,.554
.289,.305,.301
.701,.698,.811
Answers
Answer:
.321,.33,.4
Step-by-step explanation:
the point is like negative it decreases with
the big number is consider the smallest with the point while without the point the big number remains
How many 3-digit numbers can be formed if repetition is
allowed?
Answers
Answer: up to 999
Step-by-step explanation: Now, if you consider repetition allowed, all the numbers from 100 to 999 are 3 digit numbers. How many numbers are formed ? count numbers starting from 100 up to 999. Hence, 900 numbers are formed.
Two spheres of the same outer diameter, one solid and the other hollow, are completely immersed in the water. We can affirm:
a) The hollow receives less push
b) The hollow receives more push
c) Both receive the same push
d) The solid receives less push
Answers
Answer:
c) Both receive the same push
Step-by-step explanation:
The buoyancy force is equal to the weight of the displaced fluid:
B = ρVg
where ρ is the density of the water, V is the volume of displaced water, and g is the acceleration due to gravity.
Since both spheres displace the same amount of water, they have equal buoyancy forces.
what is the median price of rent for the university of oregon
Answers
Answer:
$11,450
Step-by-step explanation:
thats the median price according to Google
a sample of 49 observations is taken from a normal population with a standard deviation of 10. the sample mean is 55. Determine the 99% confidence interval for the population mean.
Answers
Answer:
55+/-3.69
= (51.31, 58.69)
Therefore, the 99% confidence interval (a,b)= (51.31, 58.69)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x =55
Standard deviation r = 10
Number of samples n = 49
Confidence interval = 99%
z-value (at 99% confidence) = 2.58
Substituting the values we have;
55+/-2.58(10/√49)
55+/-2.58(1.428571428571)
55+/-3.685714285714
55+/-3.69
= (51.31, 58.69)
Therefore, the 99% confidence interval (a,b)= (51.31, 58.69)
What is the slope of this line?
Answers
Answer:
3/2
Step-by-step explanation:
We can find the slope of this line by using two points
(1,-3) and (3,0)
m = (y2-y1)/(x2-x1)
= (0- -3)/(3 -1)
= (0+3)/(3-1)
= 3/2
find the length of side A
Answers
Answer:
First option: 3
Step-by-step explanation:
To solve for side 'a', use the Pythagorean Theorem
a² + b² = c²
where "c" is always the longest side called the hypotenuse,
"a" and "b" are the two shorter sides called legs.
Substitute c = 5 (hypotenuse) and b = 4
a² + b² = c²
a² + (4)² = (5)²
Square the numbers you know
a² + 16 = 25
Subtract 16 on both sides to isolate 'a'
a² = 25 - 16
a² = 9
Find the square root on both sides
a = √9
a = 3
The answer is option A. ( i.e 3)... answer.
Write the inverse of g(x)=x²-7
Answers
Answer:
[tex]\± \sqrt{x + 7}[/tex]
Step-by-step explanation:
y = x² - 7
Add 7 to both sides.
y + 7 = x²
Take square root on both sides.
±√(y + 7) = x
Switch variables.
±√(x + 7) = y
Given: y varies directly with x and has a constant rate of change of 7.
When the value of y is 12, then the value of xwould be
Answers
Answer:
12/7
Step-by-step explanation:
y=7x
y=12 ⇒ 7x= 12 ⇒ x= 12/7
How much of salt would you get if you evaporate all water from 20g of a 17% salt solution?
Answers
Answer:
3.4 grams
Step-by-step explanation:
The water 20g has salt solution of 17%.
If you were to evaporate all the water.
17% × 20
0.17 × 20 = 3.4
You would get 3.4 grams of salt.
The amount of salt extracted when evaporating 20g of a 17 % salt solution is 3.4 grams of salt
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the percentage of salt solution be = 17 %
The total amount of solution = 20g
The amount of salt while evaporating the solution is =
percentage of salt solution x total amount of solution
So , the equation will be
The amount of salt while evaporating the solution is = ( 17 / 100 ) x 20
The amount of salt while evaporating the solution is = 0.17 x 20
The amount of salt while evaporating the solution is = 3.4 grams
Therefore , the value is 3.4 grams
Hence , The amount of salt extracted when evaporating 20g of a 17 % salt solution is 3.4 grams of salt
To learn more about equations click :
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You are told that one of the internal angles of a parallelogram is 54 degrees. This means at least one other angle must be equal to
Answers
Answer:
54 degrees
Step-by-step explanation:
The opposite angles in a parallelogram are equal.
At least one other angle must be equal to 54°.
Given that, you are told that one of the internal angles of a parallelogram is 54°.
What are the properties of a parallelogram?A parallelogram is a type of quadrilateral in which the opposite sides are parallel and equal. There are four angles in a parallelogram at the vertices. Understanding the properties of parallelograms helps to easily relate their angles and sides. Also, the properties are helpful for calculations in problems relating to the sides and angles of a parallelogram.
The four important properties of parallelogram angles and sides are as follows:
The opposite sides of a parallelogram are equal and parallel to each other.
Opposite angles are equal, i.e ∠A = ∠C, and ∠B = ∠D.
All the angles of a parallelogram add up to 360°, i.e. ∠A + ∠B + ∠C + ∠D = 360°.
The consecutive angles of a parallelogram are supplementary, i.e.,
∠A + ∠B = 180°
∠B + ∠C = 180°
∠C + ∠D = 180°
∠D + ∠A = 180°
Now, since opposite angles are equal, then the other angle must be equal to 54°.
Therefore, at least one other angle must be equal to 54°.
To learn more about the angles of parallelogram visit:
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In Las Vegas, the hottest recorded temperature is 47°C, and the lowest recorded temperature is -13°C. What is the difference between the city's highest and lowest recorded temperatures?
Answers
The difference between the citys highest and lowest recorded temperatures is 60°.
Do the table and the equation represent the same function ? Y=390+11(x)
Answers
Not exactly
The values of the table are determined by the equation
I needed help with question #29. Thank you. Sorry the picture is a bit blurry.
Answers
Answer:
1.3 in
Step-by-step explanation:
If 0.75 is 0.55 less than the average amount, the answer must be 0.75 + 0.55 = 1.3 inches.
Answer:
1.3 in
Step-by-step explanation:
Which statements are true? Select three options. ∠F corresponds to ∠F'. Segment EE' is parallel to segment FF'. The distance from point D' to the origin is One-third the distance of point D to the origin. The measure of ∠E' is One-third the measure of ∠E. △DEF △D'E'F'
Answers
Answer:
The correct options are (1), (3) and (5).
Step-by-step explanation:
The two triangles are shown below.
The measure of ∠F corresponds to ∠F'.
The distance between the points D and origin is of 9 units.
And the distance between the points D' and origin is 3 units.
Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.
Check for similarity:
[tex]\frac{D'F'}{DF}=\frac{D'E'}{DE}=\frac{F'E'}{FE}=\frac{1}{3}[/tex]
Thus, the △DEF is similar to △D'E'F'.
Thus, the correct options are (1), (3) and (5).
Answer:
I think it's the first, third, and fifth options.
Step-by-step explanation:
I hope this helps.
What is the solution (q, r) to this system of linear equations? 12q + 3r = 15 –4q – 4r = –44
Answers
Answer:
work is shown and pictured
Answer:
(-2, 13)
Step-by-step explanation:
Or b on edge
Eight times the difference between a number and six is equal to four times the number. What’s the number?
Answers
Answer:
12
Step-by-step explanation:
Given:
Let the number be x.
According to the question,
8(x-6)= 4 x
8 x-48=4 x
8 x-4 x= 48
4 x=48
x=48/4
x=12
Thank you!
Find the indicated limit. ModifyingBelow lim With x right arrow 8 StartRoot 7 x minus 2 EndRoot Select the correct choice below and fill in the answer box within your choice. A. ModifyingBelow lim With x right arrow 8 StartRoot 7 x minus 2 EndRoot = nothing (Type an exact answer, using radicals as needed.) B. The limit does not exist.
Answers
Answer:
[tex]3\sqrt{6}[/tex]
Step-by-step explanation:
We are to determine the limit below.
[tex]\lim _{x \rightarrow8}\sqrt{7x-2}[/tex]
Plug in 8 into the function.
[tex]\lim _{x \rightarrow8}\sqrt{7x-2}=\sqrt{7(8)-2}\\=\sqrt{56-2}\\ =\sqrt{54}\\ =3\sqrt{6} \\\lim _{x \rightarrow8}\sqrt{7x-2}=3\sqrt{6}[/tex]
What are the solutions to log (x2+8)= 1 +log (x)?
Answers
Answer:
Step-by-step explanation:
log(x²+8)=1+log(x)
log(x²+8)-log(x)=1
[tex]log\frac{x^2+8}{x} =1\\\frac{x^2+8}{x} =10^1\\x^2+8=10x\\x^2-10x+8=0\\x=\frac{10 \pm \sqrt{(-10)^2-4*1*8} }{2} \\=\frac{10 \pm \sqrt{100-32} }{2} \\=\frac{10 \pm \sqrt{68} }{2} \\=\frac{10 \pm 2\sqrt{17} }{2} \\=5 \pm \sqrt{17}[/tex]
Mindy is 36 years old. Mindy's age is 3 years older than two times Jake's age. Let j represent Jake's age.
Answers
Answer:
36 = 2j + 3
This should be the correct answer to your question
PLease rate and mark brainliac if this helped
Fill in the blanks. The margin of error ________ with an increased sample size and ________ with an increase in confidence level.
Answers
Answer:
none none and none
Step-by-step explanation:
7x-14=3x+12
Solve for x!
Answers
Answer: x = 6.5
Step-by-step explanation:
[tex]7x-14=3x+12\\\\Add(14)\\\\7x=3x+26\\\\Subtract(3x)\\\\4x=26\\\\Divide(4)\\\\x=6.5[/tex]
Hope it helps <3
Answer:
x=26/4 (simply to 13/2)
Step-by-step explanation:
Add 14 to both sides to cancel out the negative 14
7x=3x+26
Subtract 3x from both sides to cancel the 3x
4x=26
x=26/4 or 13/2
Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 5, the length of B C is 3, and the length of A C is 4. What is the length of the side opposite Angle B? 3 units 4 units 5 units 6 units
Answers
The side opposite to angle B is the side that does not contact with angle B.
In this attached image, you can see better that sides AB and BC is in contact with angle B. So, the opposite side to angle B is AC.
Therefore, the lenght of the side opposite to angle B is 4 units.
Answer:
B 4Units
Step-by-step explanation:
Edg 2020 or maybe 2022
What is the simplified form of the inequality below? S - 7 < 3
Answers
Answer:
s-7<3
in order to find the value adding 7 on both sides
s-7+7<3+7
s<10
Step-by-step explanation:
i hope this will help you :)
Answer:
s-7<3
in order to find the value adding 7 on both sides
s-7+7<3+7
s<10
Step-by-step explanation:
Grandma baked many biscuit cakes. She glazed a quarter of all the cakes with chocolate, and decorated a third of the rest of the cakes with nuts. Half of the remaining cakes were decorated with fruit, and then she put whipped cream on the final 15 cakes. How many cakes did Grandma bake?
Answers
Answer:
Grandma baked 72 cakes
Step-by-step explanation:
Let x=biscuits cake baked by grandma
1/4x=chocolate
1/3x=nuts
1/4+1/3=3+4/12
=7/12x
Remaining
X-7/12x
=12-7x/12
=5/12x
1/2 of 5/12x=fruit
5/24x =fruit
Remaining
5/12x-5/24x=15
10-5/24x=15
5/24x=15
x=15÷5/24
=15*24/5
=360/5
=72
x=72 cakes
Grandma baked 72 cakes
Answer: 60
Step-by-step explanation:
so the first thing is 1/4 of the whole thing is gone. Then a third of the now 3/4 is another 1/4 which makes 1/2. A 1/2 of 1/2 is a 1/4 which means the last 1/4 is 15. Then do 15*4 to get your answer.
I need help on a question real quick
Answers
Answer:
4x-3y
Step-by-step explanation: