The median weight of 15 dogs in a pet store is 12 pounds. Which action could change the median?
Answers
Answer:
If there was another dog whose weight was greater than or less than 12.
Step-by-step explanation:
12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 4
When we add 4 to the data set we have:
184 ÷ 16 = 11.5
This changed the median.
12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 28
When we add 28 to the data set we have:
208 ÷ 16 = 13
This also changed the median.
By adding dog of weight other than 12 pounds could change the median.
What is median?
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.
If we add the dog whose weight is more than 12 pounds, median will increase .
If we add the dog whose weight is less than 12 pounds, then median will decrease.
Hence, adding dog of weight other than 12 pounds could change the median.
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Related Questions
The manager of a large company that sells pet supplies online wants to increase sales by encouraging repeat purchases. The manager believes that if past customers are offered $10 off their next purchase, more than 40 percent of them will place an order. To investigate the belief, 90 customers who placed an order in the past year are selected at random. Each of the selected customers is sent an e-mail with a coupon for $10 off the next purchase if the order is placed within 30 days. Of those who receive the coupon, 38 place an order.
Required:
a. Is there convincing statistical evidence, at the significance level of a = 0.05, that the managerâs belief is correct? Complete the appropriate inference procedure to support your answer.
b. Based on your conclusion from part (a), which of the two errors, Type I or Type II, could have been made? Interpret the consequence of the error in context.
Answers
Answer:
There is not a convincing statistical evidence, at the significance level of a = 0.05, that the manager's belief is correct.
As the null hypothesis maybe false accepting it makes a type II error.
Step-by-step explanation:
Let the null and alternate hypotheses be
H0: p ≤ 0.4 vs Ha : p>0.4
q= 1-p= 1-0.4= 0.6
The significance level alpha is 0.05
The critical region for one tailed test is Z> ± 1.645
The sample proportion is p^= x/n= 38/90=0.42222
Using the z statistic
z= p^- p/ √pq
z= 0.422-0.4/ √0.4*0.6
z= 0.04536
Since the calculated value of z= 0.04536 does not lie in the critical region Z> ± 1.645 we fail to reject null hypothesis.
There is not sufficient evidence to support the manager's claim.
Type I error is when we reject the true null hypothesis .
Type II error is when we accept the false null hypothesis .
As the null hypothesis maybe false accepting it makes a type II error.
There is not enough statistical evidence that the managers' claim is true.
What is the z test statistic for one sample proportion?Suppose that we have:
n = sample size\(\hat{p}\) = sample proportionp = population proportion (hypothesised)Then, the z test statistic for one sample proportion is:
\(Z = \dfrac{\hat{p} - p}{\sqrt{\dfrac{p(1-p)}{n}}}\)
What are type I and type II errors?The Type I error is false positive (returning the test result as positive, which means, rejecting the null hypothesis(conclusion of rejection of null hypothesis is called positive test result) when its incorrect).
The Type II error is false negative (returning the test result as negative, which means, accepting the null hypothesis(assuming negative test result, so no flaw in null hypothesis from the perspective of test) when its wrong).
For this case, we've got:
Assumption by manager = Population proportion of repurchase by customers > 0.4Sample size = n = 90Sample proportion of repurchase = 38/90 ≈ 0.422Level of significance = α = 0.05The hypotheses for test would be:
Null hypothesis: Manager is not correct(nullifies managers' assumption): \(H_0: p \leq 0.4\) (p is population proportion of repurchasing customers)Alternate hypothesis: Managers' assumption is true: \(H_1: p > 0.4\)It is single tailed.
At the level of significance 0.05, for single tail, the critical value of Z test statistic is found to be \(Z_{\alpha/2} = \pm1.645\)
The z test statistic for one sample proportion is:
\(Z = \dfrac{\hat{p} - p}{\sqrt{\dfrac{p(1-p)}{n}}}\)
We test null hypothesis, according to which p is 0.4 or less, so we get:
\(Z \approx \dfrac{0.422- 0.4}{\sqrt{\dfrac{0.4(1-0.4)}{90}}} \approx \dfrac{0.022}{\sqrt{0.00267}} \approx 0.426 < |Z_{\alpha/2}| = 1.645\)
Thus, we accept the null hypothesis (we do so when \(Z < |Z_{\alpha/2}|\) )
Therefore, there is not enough statistical evidence that the managers' claim is true.
Thus, here, we get:
Type I error: Rejecting the fact that manager's claim is wrong(and thus accepting that manager's claim is right) when actually manager's claim is wrong.Type II error: Accepting the fact that manager's claim is wrong(and thus rejecting that manager's claim is right) when actually manager's claim is right.Learn more about type I and type II errors here:
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What Is 6:3(3+3)= is it 12
Answers
Answer:
Yes it is 12
Step-by-step explanation:
What Is 6:3(3+3)= is it 12
6 : 3 * (3 + 3) =
2 * 6 =
12
On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answers
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
Answers
The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.
Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.
To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.
Let's start with the first equation:
2 + x = 5
Subtract 2 from both sides:
x = 3
Now let's move on to the second equation:
x + 1 = 4
Subtract 1 from both sides:
x = 3
Notice that we got the same value of x for both equations, so they are equivalent.
Next, let's look at the third equation:
9 + x = 6
Subtract 9 from both sides:
x = -3
Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.
Now, let's move on to the fourth equation:
x + (-4) = 7
Add 4 to both sides:
x = 11
This value of x is also different from the first two equations, so it is not equivalent to them.
Finally, let's look at the fifth equation:
-5 + x = -2
Add 5 to both sides:
x = 3
Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.
So, correct options are A, B and E.
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Complete question is:
Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (- 4) = 7
- 5 + x = - 2
Julio is playing a trivia game. On his first tum, he lost 120 points. On his second tum, he lost 75 points. On
his third tum, he lost 60 points. Enter a sum of three negative integers that models the change to Julio's
score after his first three turns. Enter the sum in the order of his turns.
Answers
Answer:
-120,-75,-60
(t)-120-75-60
Answer:
negative 255
Step-by-step explanation:
0-120=-120
-120-75=-195
-195-60=-255
What is the area of
the segment? Express
the answer in terms
of pi.
Answers
The area of the segment is 9( π-2) units²
What is area of segment?The area of a figure is the number of unit squares that cover the surface of a closed figure.
A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.
Area of segment = area of sector - area of triangle
area of sector = 90/360 × πr²
= 1/4 × π × 36
= 9π
area of triangle = 1/2bh
= 1/2 × 6²
= 18
area of segment = 9π -18
= 9( π -2) units²
therefore the area of the segment is 9(π-2) units²
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The unit circle below shows 100∘ and -100∘. Find the values below, rounded to three decimal places if necessary.
Answers
Answer:
sin(100°) = 0.985
sin(-100°) = -0.985
Step-by-step explanation:
In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).
Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:
\(\boxed{\sin(100^{\circ}) = 0.985}\)
Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:
\(\boxed{\sin(-100^{\circ}) = -0.985}\)
In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.
What is the value of sine of the angles?The value of the sine of the angles is calculated by applying the following formula as follows;
The value of sin (100) is calculated as follows;
sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.
sin (100) = 0.985
The value of sin (-100) is calculated as follows;
sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.
sin (-100) = -0.985
Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.
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Find the value of x by using the exterior angle theorem
Answers
Answer:
The Answer is B
Step-by-step explanation:
The test scores for a group of students are shown.
60, 69, 79, 80, 86, 86, 86, 89, 90, 100
Calculate the five number summary of the data set? Minimum = First Quartile (Q1) = Median = Third Quartile (Q3) = Maximum = What is the interquartile range (IQR) Which test score is an outlier?
60
69
90
100
Answers
Answer:
Minimum=60
First Quartile(Q1)=79
Median=86
Third Quartile (Q3)=89
Interquartile range (IQR)=10
Find the missing angle measure. Show work.
17.
7
20
24
Solve the remaining parts of the triangle.
19.
B
38
12.5 C
7
13
17.
18.
19, AC=
AB-
mzB
Need help with all these please. Asap urgent help need this done before Monday
Answers
To find the missing angle measure, we need to use the fact that the sum of angles in a triangle is 180 degrees. Let's denote the missing angle as x. We know that one angle is 38 degrees and another angle is 12.5 degrees.Therefore, the missing angle measure is 129.5 degrees.
By subtracting these two angles from 180 degrees, we get:
180 - 38 - 12.5 = 129.5
Without additional information, it is not possible to determine the remaining parts of the triangle. We would need the lengths of at least one side or the measures of other angles to solve for the missing parts.
The given information states that AC is equal to AB minus mzB. Without knowing the values of AB and mzB, we cannot determine the exact length of AC. We would need additional information to solve for the length of AC.Therefore, the missing angle measure is 129.5 degrees.
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5(3x + 4) - 2x = 7x - 3(-2x + 11)
Answers
Kevin has $50 and wants to buy some art paper and paints. One pack of art paper costs $12, and the paints cost $6 per tube. He buys 2 packs of paper. Which inequality should Kevin solve to find the maximum number, n, of tubes of paint that he can buy?
Answers
Answer: 4
Step-by-step explanation:
2(12) + 6n ≥ 50
24 + 6n ≥ 50
6n ≥ 26
n ≈ 4
The maximum number of tubes of paint that Kevin can buy is 4.
Answer:
He can make 4 tubs
Step-by-step explanation:
The function f(x)=58(1.6)x represents the possible bird population in a park x years from now. Each year, the expected number of birds is ____the number the year before.
Answers
Answer:
1.6 times or 60% more than
Step-by-step explanation:
The question seems to be asking about the growth factor in the given exponential function.
Exponential functionA generic exponential function will have the form ...
quantity = (initial value) × (growth factor)^(number of intervals)
Comparing this form to the given formula ...
f(x) = 58 × 1.6^x
we see the "growth factor" is 1.6. This is the multiplier from one interval (year) to the next.
Each year the expected number of birds is 1.6 times the number the year before.
__
Additional comment
A growth factor is sometimes expressed in terms of a growth rate, usually a percentage.
growth factor = 1 + growth rate
1.6 = 1 + 0.60 = 1 + 60%
The growth rate of this bird population is 60% per year. Each year, the population is 60% more than the year before.
Answer: 1.6
Step-by-step explanation:
Identify the independent variables A photo lab charges 0.15 per print
Answers
Answer:
i: number of prints
d: cost
While visiting the Albert Michelson exhibit at Clark University, you notice that a chandelier (which looks remarkably like a simple pendulum) swings back and forth in the breeze once every
T = 6.2 seconds.Randomized VariablesT = 6.2 seconds(a) Calculate the frequency of oscillation (in Hertz) of the chandelier.(b) Calculate the angular frequency ω of the chandelier in radians/second.
(c) Determine the length L in meters of the chandelier. sig.gif?
(d) That evening, while hanging out in J.J. Thompson’s House O’ Blues, you notice that (coincidentally) there is a chandelier identical in every way to the one at the Michelson exhibit except this one swings back and forth 0.11 seconds slower, so the period is T + 0.11 seconds. Determine the acceleration due to gravity in m/s2 at the club.
Answers
Answer:
a) \(F=0.16Hz\)
b) \(\omega=1rad/s\)
c) \(L=9.54m\)
d) \(g=9.46m/s^2\)
Step-by-step explanation:
From the question we are told that:
Time \(T =6.2\)
a)
Generally the equation for Frequency F is mathematically given by:
\(F=\frac{1}{T}\)
\(F=\frac{1}{6.2}\)
\(F=0.16Hz\)
b)
Generally the equation for Frequency F is mathematically given by:
\(\omega=2\pi f\)
\(\omega=2*314* 0.16\)
\(\omega=1rad/s\)
c)
Generally the equation for Length of Chandelier L is mathematically given by:
Since
\(T=2*3.142\sqrt{\frac{L}{g}}\)
Therefore
\(L=\frac{gT^2}{4 \pi^2}\)
\(L=\frac{9.8*(6.2)^2}{4 \pi^2}\)
\(L=9.54m\)
d)
Since
Michelson exhibit except this one swings back and forth 0.11 seconds slower
Therefore
\(T'=T+0.11\)
\(T'=6.31\)
Generally the equation for acceleration due to gravity g is mathematically given by:
\(g = \frac{4\pi ^2L}{( T')}^2\)
\(g = \frac{4\pi ^2L\*9.54}{( 6.31 s )}^2\)
\(g=9.46m/s^2\)
Need Help ASAP. Thank you :)
Answers
The value of x, considering the consecutive interior angles in this problem, is given as follows:
x = 30.
What are consecutive interior angles?We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.
Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:
3x - 8 + 4x - 22 = 180
7x - 30 = 180
7x = 210
x = 210/7
x = 30.
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Under normal conditions, 1.5 feet of snow will melt into 2 inches of water. During a winter season high in the mountains, 15 feet of snow fell. How many inches of water will there be when the snow melts?
Express your answer rounded to the nearest tenth of an inch.
Answers
Answer:
20 inches of water
Step-by-step explanation:
15 feet / 1.5 feet = 10
10 * 2 inches = 20 inches
What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a? (1 point) x = the quantity of 3 plus or minus the square root of 5 all over 2 x = the quantity of negative 3 plus or minus the square root of 5 all over 2 x = the quantity of 3 plus or minus the square root of 13 all over 2 x = the quantity of negative 3 plus or minus the square root of 13 all over 2
Answers
Answer:
Step-by-step explanation:
x² - 3x - 1 = 0
a = 1, b = -3, c = -1
x₁ = (3 + sqrt(-3² - 4(1(-1))))/(2(1))
x₁ = (3 + sqrt(9 + 4))/2
x₁ = (3 + sqrt(13))/2
x₁ = 3.302...
x₂ = (3 - sqrt(-3² - 4(1(-1))))/(2(1))
x₂ = (3 - sqrt(9 + 4))/2
x₂ = (3 - sqrt(13))/2
x₂ = -0.302...
Ok Billy needs 90 lbs of garden soil to landscape a building. In the company storage area, he finds 2 cases holding 24 3/4 soil each, and a third case holding 19 3/8 lb. How much gardening does Bill still need in oder to do the job?
Answers
Answer:
1/3
Step-by-step explanation:
What’s the answer ? Help ASAP
Answers
Answer:
Probability [Number of product more than 12] = 5 / 9
Step-by-step explanation:
Given:
Total number of products = 9
Number of product more than 12 = 5
Find;
Probability = Number of favourable outcomes / Number of total outcomes
Probability [Number of product more than 12] = Number of product more than 12 / Total number of products
Probability [Number of product more than 12] = 5 / 9
Someone please help me! I really need help I’ll mark brainliest
Answers
Answer:
it is B
Step-by-step explanation:
trust me i know this is right 100%
Mariana and her best friend are attending a concert in a large auditorium. They just climbed up 125 steps. The number of steps they climbed can be represented by
zero
positive
negative
Answers
The number of steps they climbed can be represented by positive
How to represent the number of steps?From the question, we understand that they climbed up
Upward movements are usually represented by the positive sign
This means that:
Steps = 125 or +125
Hence, the number of steps they climbed can be represented by positive
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The following triangles are similar. Find x
Answers
Answer:
15
Step-by-step explanation:
if 3x3 is 9 and 4x3 is 12 then 5x3 is 15
solve for X:
10( x + 1) = 2 x-7
-1
-3
-17/8
-18/8
Answers
-17/8
Step-by-step explanation:
10( x + 1) = 2 x-7
10x + 10 = 2x - 7
10 + 7 = 2x - 10x
17 = - 8x
x = -17 /8
Answer:
Hiya There....!!!
______________________
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x = − 17 /18Decimal Form:
x = − 2.125
Mixed Number Form:
x = − 2/ 1 8
_______________________
“To forgive is wisdom, to forget is genius. And easier. Because it's true. It's a new world every heart beat.”
― Joyce Cary, The Horse's Mouth
__________________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
am I right for part A. And please help me with B
Answers
a) The radius of the sphere is given as follows: 27.13 ft.
b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.
How to obtain the surface area?The surface area for a sphere of radius r is given by the equation presented as follows:
S = 4πr².
The surface area for this problem is given as follows:
9244 ft².
Hence the radius is given as follows:
\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)
r = 27.13 ft.
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29847839298273827736+83839302839288383
Answers
Answer:292820839382
Step-by-step explanation:
282739282992
How to solve 52+ 58+ q=180 for q.
Answers
Answer:
70
Step-by-step explanation:
180 - 52 - 58 = q
q = 70
hope this helps...
Of(x) = x² - 6x-1-
Mark thic and return
24
-10-8-8-22-
-8
-8
-10
2
B
8 10 x
What is the axis of symmetry
Answers
The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.
How to determine the axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry, Xmin = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
By substituting the parameters, we have the following:
Axis of symmetry, Xmin = -b/2a
Axis of symmetry, Xmin = -(-6)/2(1)
Axis of symmetry, Xmin = 6/2
Axis of symmetry, Xmin = 3.
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can i get a OHHHHHH YEAHHHH
Answers
Answer:
AW YEAHHHHHHHHHHHHHHHHHHHHHHHHHHH
Step-by-step explanation:
Answer:
OH YEAHHHH
Step-by-step explanation:
lol
A walk alongside a railway track is represented on a map by an 86 mm straight line.
The walk is 17.2 km.
What is the scale of the map?
Answers
First we turn the 17.2 km into mm. To do that we turn it into 17,200 m then into 1,720,000 cm then into 17,200,000 mm. Then we just divide 17.2 million by 86 so 17,200,000÷86=200,000. so we know that the scale of the map is 1:200,000. Also pls mark as brainliest answer thx.