These box plots show daily low temperatures for a sample of days in two different towns.
Town A. 10,15,20,30, and 55
Town B. 5,20,30,40, and 55
Answers
*The question is incomplete. Attached below is the diagram of the box plots being referred to followed by the complete question and options.
Answer:
D. The median for town A, 20 degrees, is less than the median of town B, 30 degrees
Step-by-step Explanation:
From the given diagram of the box plots showing the daily low temperatures for town A and B, the median of town A and B is shown on the box plots by the line that divides the box. Therefore, the median of town A is where the line that divides the box is. Median for town A is 20⁰. Same applies for town B. Town B median is 30⁰.
Therefore, option D is the most appropriate comparison of the centers. Median of town A is less than median of town B.
Related Questions
What is the median of the following set of data?
(4,1,3,6,1,7)
Answers
Answer: 3.5
Step-by-step explanation: First, let's put the data set from least to greatest....
1, 1, (3, 4,) 6, 7
The median is the middle number in the data, since it's an even number we will have to do an extra step...
3 + 4 = 7
7 ÷ 2 = 3.5
The median is 3.5, I hope this helps!
g(x) = 5x – 3, find g(-4).
Answers
Answer: -23
Step-by-step explanation: Let me know if you need an explanation.
Answer:
-23
Step-by-step explanation:
g(x) = 5x – 3
g(-4) means substitute -4 for x in the expression above.
Hence
g(-4) =5(-4) – 3 = -20-3 = -23
Notice that we had an overall accuracy greater than 96% in the training data, but the overall accuracy was lower in the test data. This can happen often if we overtrain. In fact, it could be the case that a single feature is not the best choice. For example, a combination of features might be optimal. Using a single feature and optimizing the cutoff as we did on our training data can lead to overfitting. Given that we know the test data, we can treat it like we did our training data to see if the same feature with a different cutoff will optimize our predictions. Which feature best optimizes our overall accuracy
Answers
Answer:
Step-by-step explanation:
Training data overall accuracy is >96%
Test data overall accuracy is <96%
A single feature is not the best choice but a combination of features might be optimal.
The feature that best optimizes your overall accuracy is the combination of both cut off scores. The mean of the two cut off scores will optimize your predictions of overall accuracy.
What is the length of CD?
Answers
Answer:
Step-by-step explanation:
Standard CDs have a diameter of 120 millimetres (4.7 in) and can hold up to about 80 minutes of uncompressed audio or about 700 MiB of data. The Mini CD has various diameters ranging from 60 to 80 millimetres (2.4 to 3.1 in); they are sometimes used for CD singles, storing up to 24 minutes of audio, or delivering device drivers.
The answer is option B) 26
What is the Pythagorean theorem?Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
Hypotenuse² = Perpendicular²+ Base²
c² = a² + b²
Given here, BC=37 , CA=53 and ∠C=∠B=90° therefore by Pythagoras theorem we can write AB² = 37²+53²
AB= 64.63
again using Pythagoras' theorem we have where ∠B is 90°
AB² + BD² = AD²
AB² + 37² + CD² = (CD+53)²
(64.63)² + 37² + CD² = CD² + 106CD +53²
CD²=(64.63²-53²+37²)/106
CD=26 (approx)
Hence the final answer is 26
Learn more about Pythagoras' theorem here:
https://brainly.com/question/21926466
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Choose the best answer to explain whether the question is statistical or not statistical. How far from work does Jeremy live?
Answers
Answer:
not statistical
Step-by-step explanation:
how much is 78ml when you turn it to litres
Answers
Answer:
0.078 liters
Step-by-step explanation:
78ml=78/1000L
78ml=0.078ml
The manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour. (a-1) At α = .05 in a left-tailed test, would a sample of 16 randomly chosen hours with a mean of 538 and a standard deviation of 50 indicate that the manufacturer’s claim is overstated? Choose the appropriate hypothesis.
Answers
Answer:
The calculated value t = 1.76 < 2.131 at 0.05 level of significance
Null hypothesis is accepted
The manufacturer’s claim is greater than 560 bags per hour
Step-by-step explanation:
Explanation:-
Given sample size 'n' =16
Given the manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour.
mean of the Population 'μ' = 560
Mean of the sample Χ⁻ = 538
sample standard deviation' S' = 50
Null hypothesis:H₀:μ > 560
Alternative Hypothesis:H₁ : :μ < 560 (left tailed test)
Test statistic
[tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{538-560 }{\frac{50}{\sqrt{16} } } = -1.76[/tex]
|t| = |-1.76| = 1.76
Degrees of freedom
γ = n-1 =16-1 =15
[tex]t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } =t_{0.025} =2.131[/tex]
Conclusion:-
The calculated value t = 1.76 < 2.131 at 0.05 level of significance
Null hypothesis is accepted
The manufacturer’s claim is greater than 560 bags per hour
Please answer this correctly I have to finish this today.I want genius people or expert people to answer this correctly without making mistakes
Answers
Answer:
Surface Area is 16π mm²
Step-by-step explanation:
Remember me? (I answered your question before) Do I count as "genius people or expert people"? I certainly hope so.
The area for a cylinder's surface area is
a=2πrh+2πr²
The cylinder base's radius is 2 mm
The cylinder's height is 2 mm
Putting into the equation:
a=2×π×2×2+2×π×2²
a=2π×2×2+2×π×2²
a=4π×2+2×π×2²
a=8π+2×π×2²
a=8π+2×π×4
a=8π+2π×4
a=8π+8π
a=16π
The surface area of the cylinder is 16π mm².
Students in 7 grade took a standardized math test that they also had taken in 5 grade. The collected data showed that in two years the median increased by three points, and the mean increased by around two and a half points. In term of the contex, what can you infer?
Answers
Step-by-step explanation:
In general, the students increased their standardized math scores from 5th grade to 7th grade.
The students might be more familiar with the exam and they have learned more in their math classes.
how much longer is a 1-inch button than a 3/8-inch button?
Answers
Answer:
5/8
Step-by-step explanation:
If you take 1/1 and subtract it by 3/8 you will get the answer 5/8
So the 1 inch button is 5/8 longer than the 3/8 button.
Answer:
5/8
Step-by-step explanation:
What is the midline equation of the function? do I add 5.5 to 3.5 then divide ? Thanks in advance
Answers
Answer:
The midline of the function is y = 2.
Step-by-step explanation:
Midline is the horizontal line that passes exactly in the middle between the graph's maximum and minimum points.
The midline of a sinusoidal function passes exactly in the middle of its extreme values.
Since the amplitude of a sinusoid is equal to the vertical distance from its midline to one of its extrema, we can calculate the midline using one of the following formulas.
midline = max value − amplitude
midline = min value + amplitude
According to the graph, the maximum value of the function is 5.5, and the amplitude is 3.5.
So, the midline is
midline = max value − amplitude
midline = 5.5 − 3.5 = 2
We are interested in knowing more about the number of hours students study for ST 311 each week. We know that there are 800 students enrolled in the course, with 35 students per section. We also know that ST 311 students study 10 hours a week on average, and that the standard deviation is 2 hours. We randomly sample 40 students taking the course, and record the average number of hours that they study per week. What is the sample size? A. 35 B. 40 C. 100 D. 800
Answers
Answer:
B. 40
Step-by-step explanation:
What do you understand by sample size; a sample size is a little portion of a large number we which to investigate. Imagine we wanted to know the electricity consumption of people in a town of 200million people sometimes we could do that be investigating that of 50million especially when you know the conditions would be no different from others. In this sense the sample size is 50 million because that's the one we are investigating.
Similarly our concern of interest for investigation is 40, so that's the sample size.
How many cubes of side 3 cm can be cut from a wooden solid cuboid with dimensions 12 cm x 12 cm x 9 cm?
Answers
Answer:
48 cubes can be cut from the wooden cuboid
Step-by-step explanation:
Total calculate this, we will first of all find the volume of the cuboid, and the volume of the cubes to be cut, then divide the volumes to see how many cubes can be cut from the cuboid.
Volume of cuboid = 12 × 12 × 9 = 1296 cm
volumes of each cube to be cut = 3 × 3 × 3 = 27 cm
Next, we will divide the volume of cuboid by the volume of the cubes:
Number of cubes = Volume of cuboid ÷ volume of cubes
Number of cubes = 1296 ÷ 27 = 48 cubes
Therefore, 48 cubes of sides 3cm can be cut from the wooden cuboid
Rocky Mountain National Park is a popular park for outdoor recreation activities in Colorado. According to U.S. National Park Service statistics, 46.7% of visitors to Rocky Mountain National Park in 2018 entered through the Beaver Meadows park entrance, 24.3% of visitors entered through the Fall River park entrance, 6.3% of visitors entered through the Grand Lake park entrance, and 22.7% of visitors had no recorded point of entry to the park.† Consider a random sample of 175 Rocky Mountain National Park visitors. Use the normal approximation of the binomial distribution to answer the following questions. (Round your answers to four decimal places.)
(a) What is the probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance?(b) What is the probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance?(c) What is the probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance?(d) What is the probability that more than 55 visitors have no recorded point of entry?
Answers
Answer:
a) 0.6628 = 66.28% probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance
b) 0.5141 = 51.41% probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance
c) 0.5596 = 55.96% probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance.
d) 0.9978 = 99.78% probability that more than 55 visitors have no recorded point of entry
Step-by-step explanation:
Using the normal approximation to the binomial.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed samples can be solved using 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.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In this problem, we have that:
175 visitors, so [tex]n = 175[/tex]
a)
46.7% through the Beaver Meadows, so [tex]p = 0.467[/tex]
[tex]\mu = E(X) = np = 175*0.467 = 81.725[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.467*0.533} = 6.6[/tex]
This probability, using continuity correction, is [tex]P(X \geq 85 - 0.5) = P(X \geq 84.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 84.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{84.5 - 81.725}{6.6}[/tex]
[tex]Z = 0.42[/tex]
[tex]Z = 0.42[/tex] has a pvalue of 0.6628.
66.28% probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance.
b)
This is [tex]P(80 - 0.5 \leq X < 90 - 0.5) = P(79.5 \leq X \leq 89.5)[/tex], which is the pvalue of Z when X = 89.5 subtracted by the pvalue of Z when X = 79.5. So
X = 89.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{89.5 - 81.725}{6.6}[/tex]
[tex]Z = 1.18[/tex]
[tex]Z = 1.18[/tex] has a pvalue of 0.8810.
X = 79.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{79.5 - 81.725}{6.6}[/tex]
[tex]Z = -0.34[/tex]
[tex]Z = -0.34[/tex] has a pvalue of 0.3669.
0.8810 - 0.3669 = 0.5141
0.5141 = 51.41% probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance
c)
6.3% over the Grand Lake park entrance, so [tex]p = 0.063[/tex]
[tex]\mu = E(X) = np = 175*0.063 = 11.025[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.063*0.937} = 3.2141[/tex]
This probability is P(X < 12 - 0.5) = P(X < 11.5), which is the pvalue of Z when X = 11.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{11.5 - 11.025}{3.2141}[/tex]
[tex]Z = 0.15[/tex]
[tex]Z = 0.15[/tex] has a pvalue of 0.5596.
55.96% probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance.
d)
22.7% with no recorded point, so [tex]p = 0.227[/tex]
[tex]\mu = E(X) = np = 175*0.227 = 39.725[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.227*0.773} = 5.54[/tex]
This probability is [tex]P(X \leq 55 + 0.5) = P(X \leq 55.5)[/tex], which is the pvalue of Z when X = 55.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{55.5 - 39.725}{5.54}[/tex]
[tex]Z = 2.85[/tex]
[tex]Z = 2.85[/tex] has a pvalue of 0.9978
99.78% probability that more than 55 visitors have no recorded point of entry
Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2
Answers
Answer:
y=-1/3x+6 .Hope this helps
Answer:
3y = -x + 18
Step-by-step explanation:
Given the equation y = 3x + 2;
By comparison with the general equation
y = mx + C ; where m is the slope
We see that m = 3
Now for a perpendicular line and it's slope is -1/m = -1/3 and let it be M2
But the new slope cuts across points (3,5) .
It means M2 = y - 5/ x-3
-1/3 = y-5/ x-3
-1(x-3) = 3(y-5)
-x +3 = 3y -15
3y = -x + 18
Which of the following trigonometric equations meets the criteria given? amplitude = 3, period = , phase shift = y = 3sin(x-) y = 3sin2(x-) y = 3sin2(x-2)
Answers
Answer:
the last one
Step-by-step explanation:
Answer:
y = 3sin2(x - pi)
Step-by-step explanation:
The number in front of the trigonometric value (sin, cos, tan, etc.) indicates the amplitude. If the period is pi then the value in front of x must be 2, because frequency (in other words, the period) is determined by the equation 2pi/B, where the value in front of (x) is B. And if the phase shift is pi, or positive pi, then the corresponding equation must be (x - pi) because it's always the opposite.
A project team assesses their primary risk factor's probability of failure with a maturity risk of 0.3, a complexity risk of 0.7, and a dependency risk of 0.8. The probability of failure is:
a. Greater than 0.3 but less than or equal to 0.55.
b. Greater than or equal to 0.9.
c. Greater than 0.56 but less than or equal to 0.89.
d. Less than or equal to 0.3.
Answers
Answer:
b. Greater than or equal to 0.9.
Step-by-step explanation:
We have three types of risks, that can make the project fail independently.
The probability of failure have to be calculated as the complement of the probability of success, and the probability of success is the probability of avoiding each of the risks.
The probability of avoiding each of the risks is the complementary probability of each risk. For example, the probability of avoiding the maturity risk (0.3) is 1-0.3=0.7.
Then, we can calculate the probabilty of success as:
[tex]P_s=(1-P_{mr})(1-P_{cr})(1-P_{dr})\\\\P_s=(1-0.3)(1-0.7)(1-0.8)\\\\P_s=0.7\cdot 0.3\cdot 0.2\\\\P_s=0.042[/tex]
Then, the probability of failure is the complementary of the probability of success:
[tex]P_f=1-P_s\\\\P_f=1-0.042=0.958[/tex]
The probability of failure is Pf=0.958
The formula for the total surface area of closed hemisphere for any value of R is S=
Answers
Answer:
The formula for the total surface area of closed hemisphere for any value of R is S = 3πR²
Step-by-step explanation:
The total surface area of closed hemisphere is given as;
Curved surface area of the hemisphere + Base surface area of the hemisphere
Curved surface area of the hemisphere, A= 2πr²
Base surface area of the hemisphere, B = πr²
The total surface area of closed hemisphere, S = A + B
The total surface area of closed hemisphere, S = 2πr² + πr² = 3πr²
Therefore, The formula for the total surface area of closed hemisphere for any value of R is S = 3πR²
A board measures 2½m by 1¼m and costs 750 naira. calculate the cost of 1m² of the board.
Answers
Answer:
240naira
Step-by-step explanation:
The board measures 2½m by 1¼m
The area of the board is;
2½× 1¼ = 5/2 × 5/4 = 25/8 m²;
But 25/8 m² cost 750 naira;
Therefore 1m² cost 750 / 25/8
750 × 8/25 =
30 × 8
240naira
Find the y intercept of the line 3y=12x+15
Answers
Answer:
y- intercept = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y = 12x + 15 ( divide all terms by 3 )
y = 4x + 5 ← in slope- intercept form
with y- intercept c = 5
The y-intercept of the given line, 3y=12x+15 is: 5.
What is the y-intercept of a line?The slope-intercept form equation of a line easily helps us to determine the y-intercept of the line, b.y = mx + b represents the equation of a line in slope-intercept form."b" is the y-intercept.Given:
3y=12x+15
Rewrite in slope-intercept formy = 12x/3 + 15/3
y = 4x + 5
Therefore, the y-intercept of the given line, 3y=12x+15 is: 5.
Learn more about the y-intercept of a line on:
https://brainly.com/question/10700419
Ms catall is using a compass to find her way out of the woods the compass has a radius of 4cm what is the compass’s area
Answers
Answer:
50.24
Step-by-step explanation:
→To find a circle's (compass) area, you must use the following formula:
A = π[tex]r^2[/tex]
→All you need to do is plug in 4 for the "r," (radius), and solve:
A = π[tex]4^2[/tex]
A = π[tex](16)[/tex]
→When you multiply 16 by pi, we're going to use 3.14:
A = 3.14(16)
A = 50.24
Dead leaves accumulate on the ground in a forest at a rate of 5 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 65 percent per year.A. Write a differential equation for the total quantity Q of dead leaves (per square centimeter) at time t:dt/dQ= ?B. Sketch a solution to your differential equation showing that the quantity of dead leaves tends toward an equilibrium level. Assume that initially (t=0) there are no leaves on the ground.What is the initial quantity of leaves? Q(0)= ?What is the equilibrium level? Qeq= ?
Answers
Answer:
ik this not an answer but i reccomend a science calculaor with these questions
Step-by-step explanation:
Will give brainliest!!!
Answers
Answer: D
Step-by-step explanation:
We can solve for k by plugging in the x-intercept. We know that the x-intercept is 4, therefore the y is 0. The coordinates would be (4,0). Now that we have our x and y, we can plug in and solve for k.
4k+2(0)+8=0
4k+0+8=0
4k+8=0
4k=-8
k=-2
Which of the following are always true in a logical system? Check all that
apply.
A. Theorems
B.Corollaries
C.Postulates
D. Conditional statements
Answers
Answer:
A. Theorems
and
B.Corollaries
Step-by-step explanation:
Answer:
theorems corollaries postulates
Step-by-step explanation:
you need to click all three for a correct answer
What is the definition of an acute angle?
Answers
Answer:
Measure less 90 degrees
Step-by-step explanation:
Less than 90 degrees measure acute angle. 90 degrees in right corner. Obtuse corners are larger than 90 degrees
Hope this helps.
Answer: An angle less than 90 degrees
Step-by-step explanation:
An angle that is less than 90° is known as an acute angle. The acute angle is otherwise called the angle which is less than the right angle.
Write an equation of a circle with Center -5 -7 that through the point 0 0
Answers
Answer:
The third one, (x+5)^2 + (y+7)^2 = 74
Step-by-step explanation:
The equation for a circle is in the form (x-x coordinate)^2 + ( y - y coordinate )^2 = r^2
the radius is 5^2 + 7^2 = 25 + 49 = 74
and the center is (-5,-7), so it is + 5 and + 7
Please answer this math question im desperate!! thank you!! will give brainliest!!
Answers
Answer:
A
Step-by-step explanation:
It IS a function because it passes the vertical line test.
If you drew vertical lines through any part of the graph, it would only touch one point, showing that it is a function.
need help fast this is time
Answers
Answer:
x= 34
Step-by-step explanation:
96 + 50 + x = 180
180 - 146 = x
x= 34
Answer: x = 34
Step-by-step explanation:
The interior angles of a triangle add up to 180.
So we can set an equation to 180 like this: [tex]180 = x + 96 + 50[/tex]
We can simplify this:
[tex]180 = x +146[/tex]
Now we need to isolate x to solve for it.
We do this by subtracting the 146.
[tex]34 = x[/tex]
Whysudushysususuajsbzgstsysyzyxyzyzusushshshshhshshshshshshshshdhdususududu
Answers
Answer:
b) -6
Step-by-step explanation:
[tex]2\sqrt{10+n} = 4[/tex]
Divide both sides by 2
[tex]\sqrt{10+n} = 2[/tex]
Square both sides of the equation
[tex]10+n=4[/tex]
Isolate the variable
[tex]n = 4 - 10[/tex]
[tex]4 -10 = - 6[/tex]
[tex]n = - 6[/tex]
The distance between the towns of Averton and Brackston is 10km. On map the distance is 5cm. What is the scale of the map in its simplest form
Answers
Answer: The scale of the map in its simplest form is 1:200,000
Step-by-step explanation: From the question,
The distance between the two towns is 10km which is a distance of 5cm on the map.
This means, 5cm represents 10km. Now we will determine what 1cm represents.
If 5cm represents 10km
Then 1cm will represent (10÷5) km
Hence, 1 cm will represent 2km
Now, convert 2km to cm
2km = 2000m = 200,000cm
Hence, 1cm represents 200,000cm
This means on the map 1cm represents 200,000cm.
The scale of the map is therefore
1:200,000
