These box plote show daily low temperatures for a sample of days in two
different towns
Town A
15 20
30
40 45
H
Town B
15 20 25 30
58
H
0
5 10 15 20 25 30 35 40 45 50 55 60
Degrees (F)
Which statement is the most appropriate comparison of the centers?
O A. The median temperature for both towns is 30%.
OB. The median for town A, 301, is greater than the median for town B.
25
C. The median temperature for both towns is 20"
D. The mean for town A, 30%, is greater than the mean for town B, 25.
Answers
Answer:
D. The mean for town A, 30%, is greater than the mean for town B, 25.
Step-by-step explanation:
From the boxplot Given ; the median value which is the value at the point in between the box ;
Th median value of Town A is 30 While the median for town B = 25
Evaluating the statements given, the most appropriate statement for the comparison made is :
The mean for town A, 30%, is greater than the mean for town B, 25 ; this is true because ; 30 > 25
Related Questions
The_____ is the result of the sum of the numbers being divided by how many numbers are in set.
Answers
Answer:
Mean
Step-by-step explanation:
Mean
less precisely called the average
Whats the nth term in this sequence
1 , 7, 13, 19
Answers
Step-by-step explanation:
the answer is in the above image
Suppose X is a random variable with a mean of 10 and a variance of 100. Suppose Y is a random variable with a mean of 2 and a standard deviation of 16. Also, suppose X and Y are independent. What is the mean of 10 X + 3 Y?
Answers
Answer:
[tex]E(10x + 3y) =106[/tex]
Step-by-step explanation:
Given
[tex]E(x) =10[/tex]
[tex]Var(x) = 100[/tex]
[tex]E(y) =2[/tex]
[tex]Var(y) = 16[/tex]
Required
[tex]E(10x + 3y)[/tex]
To do this, we make use of the following equation
[tex]E(ax + by) =aE(x) + bE(y)[/tex]
So, we have:
[tex]E(10x + 3y) =10 * E(x) + 3 *E(y)[/tex]
[tex]E(10x + 3y) =10 * 10 + 3 *2[/tex]
[tex]E(10x + 3y) =100 + 6[/tex]
[tex]E(10x + 3y) =106[/tex]
The hypotenuse of a right triangle Measures 17 cm and one of its legs measures 8 cm. find the measure of the other leg if necessary round to the nearest 10th
Answers
64+b^2=289
b^2=289-64
b^2=225
b=15
the measure of the other leg is 15 cm
11. Choose the proportion that represents this problem:
If one meter is approximately 3.28 ft, how many meters are
in 20 ft?
a) 3.28
20
b) 3.28
20
1
1
m
O ) c) 3.28
20
1
d) 20
3.28
1
m
т
Answers
Answer:
D is the answer
Step-by-step explanation:
Name two grouping symbols.
Answers
Answer:
parentheses ( ), brackets [ ], and braces { }—are used to group numbers or variables (letters
Step-by-step explanation:
I put three for if u need hope this helps:)
please help me simplify the expression and please show work!!! <3
Answers
Step-by-step explanation:
[tex] \frac{x + 4}{3 {x}^{2} - 12x - 96} = \frac{x + 4}{3( {x}^{2} - 4x - 32) } = \frac{x + 4}{3(x - 8)(x + 4)} [/tex]
[tex] = \frac{1}{3(x - 8)} = \frac{1}{3x - 24} [/tex]
Alguien puede ayudarme?
Answers
Answer:
I don’t understand you language
Step-by-step explanation:
Make it in English
Write the following series in sigma notation. 8+18+28+38
Answers
Answer:
[tex]\Sigma\left {n} \atop {1}} \right. (5n^2+3n)[/tex]
Step-by-step explanation:
Given the series 8 + 18 + 28 + 38
First, we need to find the sum of the nth term of the sequence as shown
Sn = n/2[2a+(n-1)d]
n is the number of terms
a is the first term = 8
d is the common difference = 18-8 = 28-18 = 10
Substitute
Sn = n/2 [2(8)+(n-1)*10]
Sn = n/2 [16+10n-10]
Sn = n/2[10n+6]
Sn = 2n/2(5n+3)
Sn = n(5n+3)
Sn = 5n²+3n
In Sigma form;
[tex]\Sigma\left {n} \atop {1}} \right. (5n^2+3n)[/tex]
Select the correct answer from each drop-down menu.
What is the end behavior of function h?
h(x) = -4x2 + 11
As x approaches negative infinity, h(x) approaches
As x approaches positive infinity, h(x) approaches
Answers
Answer:
The first is negative and the second is also negative. Just took the test and passed.
Step-by-step explanation: Step by Step
Because the variable has an even power, we will see that:
As x approaches -∞, h(x) approaches -∞As x approaches ∞, h(x) approaches -∞.What is the end behavior of h(x)?Here we have h(x) = -4x^2 + 11
Notice that the variable is squared, this means that the sign does not matter, the outcome of:
-4x^2 will always be negative. So in both ends (when x tends to infinity and negative infinity), we will have the same end behavior.
When we take that limit, -4x^2 will just tend to negative infinity, then in both cases, the function tends to negative infinity.
So we have:
As x approaches negative infinity, h(x) approaches negative infinity.As x approaches positive infinity, h(x) approaches negative infinity.If you want to learn more about limits, you can read:
https://brainly.com/question/5313449
Which of the following best shows the distributive property?
1. 2(2 - 3) = 2(-1)
2. 2(2 - 3) = 2(2) - 2(3)
3. 2 - 3 = (-3) + 2
4. 2 + (2 - 3) = (2 - 2) + 3
Answers
Answer:
number 2
Step-by-step explanation:
2x2=4
2x-3=-6
4-6=-2
2x2=4
-2x3=-6
4-6=-2
R(-9, 4) and S(2, -1); Find T.
Answers
Answer:
AYYYYYYYYYYYYYYYYYYYYY
Step-by-step explanation:
What is the length of arc S shown below?
5 cm
0.4
S
The angle in the figure is a central angle in radians.
om
Answers
Answer:
The length of arc S = 47.1
Step-by-step explanation:
The radius of the circle = 10
The central angle of the arc = 3
By formula, S = rΘ
where S is the lenth of the arc
r is the radius of the circle
Θ is the central angle of the arc
substituting the values in the formula, we get
S = rΘ = 10 (3) = 15 = 47.1
Answer:
the length of the arc is 2 cm
Step-by-step explanation:
im doing this right now
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answers
Answer:
4. 52sq.ft
5.25sq.ft
Step-by-step explanation:
In attachment
Suppose that attendance at the concerts by the band "Keane" is a normally distributed random variable X with a mean of 18,500. You are told that P(X ≥ 15,000) = 0.6981. What are the two values of X that delineate the "82% middle pack" of this random variable?
A random variable has a population mean equal to 1,973 and population variance equal to 892,021. Your interest lies in estimating the population mean of this random variable. With that in mind, you take a representative sample of size 79 from the population of the random variable. You then use this sample data to calculate the sample average as an estimate for the population mean.
Required:
Using your knowledge about the central limit theorem (CLT), and assuming that the CLT has already "established itself" / "kicked in" when the sample size is 79, what is the probability that the sample average that you calculated will lie between 1,702 and 1,948?
Answers
Answer:
The two values of X that delineate the "82% middle pack" of this random variable are 9480 and 27520.
0.4017 = 40.17% probability that the sample average that you calculated will lie between 1,702 and 1,948.
Step-by-step explanation:
To solve the first question, we use the normal distribution, while for the second quetion, it is used with the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
First question:
Mean of 18,500:
This means that [tex]\mu = 18500[/tex]
You are told that P(X ≥ 15,000) = 0.6981.
This means that when [tex]X = 15000[/tex], Z has a o-value of 1 - 0.6981 = 0.3019, which means that when [tex]X = 15000, Z = -0.52[/tex]. We use this to find [tex]\sigma[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.52 = \frac{15000 - 18500}{\sigma}[/tex]
[tex]0.52\sigma = 3500[/tex]
[tex]\sigma = \frac{3500}{0.52}[/tex]
[tex]\sigma = 6731[/tex]
What are the two values of X that delineate the "82% middle pack" of this random variable?
Between the 50 - (82/2) = 9th percentile and the 50 + (82/2) = 91st percentile.
9th percentile:
X when Z has a p-value of 0.09, so X when Z = -1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.34 = \frac{X - 18500}{6731}[/tex]
[tex]X - 18500 = -1.34*6731[/tex]
[tex]X = 9480[/tex]
91st percentile:
X when Z has a p-value of 0.91, so X when Z = 1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.34 = \frac{X - 18500}{6731}[/tex]
[tex]X - 18500 = 1.34*6731[/tex]
[tex]X = 27520[/tex]
The two values of X that delineate the "82% middle pack" of this random variable are 9480 and 27520.
Question 2:
A random variable has a population mean equal to 1,973 and population variance equal to 892,021.
This means that [tex]\mu = 1973, \sigma = \sqrt{892021} = 944.5[/tex]
Sample of 79:
This means that [tex]n = 79, s = \frac{944.5}{\sqrt{79}}[/tex]
What is the probability that the sample average that you calculated will lie between 1,702 and 1,948?
This is the p-value of Z when X = 1948 subtracted by the p-value of Z when X = 1702. So
X = 1948
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{1948 - 1973}{\frac{944.5}{\sqrt{79}}}[/tex]
[tex]Z = -0.235[/tex]
[tex]Z = -0.235[/tex] has a p-value of 0.4071
X = 1702
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{1702 - 1973}{\frac{944.5}{\sqrt{79}}}[/tex]
[tex]Z = -2.55[/tex]
[tex]Z = -2.55[/tex] has a p-value of 0.0054
0.4071 - 0.0054 = 0.4017
0.4017 = 40.17% probability that the sample average that you calculated will lie between 1,702 and 1,948.
simplify the following expression <3
Answers
Answer:
4x^12y^6/z^5
Step-by-step explanation:
See image below:)
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
Thirty less than four times a number is fifty
Answers
4x-30= 50
mark me brainliestttt :))
Answer:
The number is 20
Step-by-step explanation:
Let the number be x
Four times the number means = 4x
30 less than the number is 50 means = 4x - 30 = 50
Solve for x :
4x - 30 = 50
4x - 30 + 30 = 50 + 30 [ adding 30 on both sides ]
4x = 80 [ - 30 + 30 = 0 ]
x = 20 [ dividing by 4 on both sides ]
Find the product of (x + 3) (x - 18)
Answers
Answer:
x^2-15x-54
Step-by-step explanation:
(x+3)(x-18) Multiply them all
x^2-18x+3x-54
ans=x^2-15x-54
Thirty-five percent of adult Americans are regular voters. A random sample of 250 adults in a medium-size college town were surveyed, and it was found that 110 were regular voters. Estimate the true proportion of regular voters with 90% confidence and comment on your results.
Answers
Answer:
Hence the true proportion is (0.388, 0.492).
Step-by-step explanation:
Given n=250,
[tex]p= 110/250 =0.44[/tex]
[tex]a=0.1, |Z(0.05)|=1.645[/tex] (check standard normal table)
So 90% CI is
[tex]p ± Z*√[p*(1-p)/n]\\0.44 ± 1.645*sqrt(0.44*(1-0.44)/250)\\ ( 0.388, 0.492)[/tex]
Lola tossed a coin twice. She made a tree diagram to show the possible outcomes. Which tree diagram shows the sample space for two tosses of a coin?
Answers
Step-by-step explanation:
note : H for head, T for tail
In the 30-60-90 triangle below, side s has a length of ___ and side q has a length of ___.
Answers
Answer:
The answer is D.
Step-by-step explanation:
The side lengths for this special triangle is represented with x, x[tex]\sqrt{3}[/tex] , and 2x
if the side length that sees 90 degrees is 10 (2x and x = 5 in this case)
so s (the side length that sees 30 degrees) is = 5
and q (the side length that sees 60 degrees) = 5[tex]\sqrt{3}[/tex]
Find the area of the figure shown
Answers
Answer:
Step-by-step explanation:
What is the volume of the rectangular prism?
3 cm
8 cm
2 cm
cm3
Answers
Answer:
48 cm^3
Step-by-step explanation:
Since there is no image, I’m just going to assume that these three measurement are the length, width, and height of the rectangular prism:
The formula for the volume of a rectangular prism is length x width x height.
Use formula with given dimensions:
3 x 8 x 2 = 48
Volume is measured in cubic centimeters
(cm in this case)
Therefore, the volume of the rectangular prism is 48 cm^3
Hope this helps!
2x+ 4y =16 -2x- 3y = -6 solve this system of equations using the elimination method
Answers
[tex] \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \underline{ \tt {x = - 12 \: and \: y = 10}}}}}✓}[/tex]
See the attached picture! Let me know if you have any questions regarding my answer! ツ▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
[tex] \small \sf \: x = - 12 \: \: and \: y = 10[/tex]
Step-by-step explanation:
2x + 4y = 16.
-2x - 3y = -6
Add both equation ;
[tex] \small \sf \: \: \: \: \: 2x + 4y = 16 \\ + \small \sf \: \: \underline{ -2x - 3y = -6 }\\ \small \sf \: \: \: \: \: \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \blue{y = 10}} [/tex]
Therefore , y = 10
Substitute the value of y in the first equation
2x + 4 = 16
2 x + 4 × (10) = 16
2x + 40 = 16
subtract 40 from both side
2x + 40 - 40 = 16 - 40
2x = - 24
divide each side by 2
2x/ 2 = - 24 / 2
x = - 12
Write the formula for the area of a trapezoid
Answers
Answer:
Step-by-step explanation:
A=(a+b)/2 x h.
I need the answer find the value of x
Answers
Answer:
1. x = 126
angle POS = 33
2. x = 31
angle MOL = 118
Step-by-step explanation:
for question one, 147 degrees equals x + 21
so x = 126
147 plus 147 equals 294
360-294 equals 66
66/2 equals angle POS
angle POS = 33
for question 2, 62 degrees equals 2x
62 divided by 2 is 31
x = 31
62 + 62 = 124
360-124 = 236
236/2 = 118
angle MOL = 118
Answer:76
Step-by-step explanation:
67
What is the value of n?
Answers
Answer:
A
Step-by-step explanation:
180-133= 47
180-142= 38
47+38= 85
180-85= 95
If the inside of n is 95, n has to be 85
Rhombus ABCD has a diagonal BD¯¯¯¯¯. m∠ADB=(5x+10)° m∠CDB=(4x+19)° What is the m∠ADC ? Enter your answer in the box º
30 POINTS PLEASE HELP ASAP
Answers
Answer:
110°
Step-by-step explanation:
5x+10=4x+19
5x-4x =19-10
x = 9
m L ADB = 5(9)+10=45+10=55°
so m L ADC = 2×55° = 110°
What is the slope of the line graphed below?
(-2,2)
(3, 1)
Answers
Answer:
hey. your questions is not complete. pls add an attachment of the graph to your question
Answer:
[tex]-\frac{1}{5}[/tex]
Step-by-step explanation:
To find the slope, the formula is [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{1-2}{3-(-2)}=-\frac{1}{5}[/tex]
Hope this helps
Maria is asked to write down a prime number between 10 and 20 she writes down 17 is she right explain your answer
Answers
Answer:
YES
Step-by-step explanation:
PRIME NUMBER BETWEEN 10 & 20 ARE 11,13,17,19-four
Step-by-step explanation:
it has no factor excluding 1 and itself
