Yes, there is a correlation between the scores on the test and times spent studying and the value of that Correlation coefficient is 0.0657.
Correlation coefficients are used to measure what is the strength of relationship is between two variables. It is represented by r and its always ranges between -1 and 1.
We know the correlation coefficient formula is:
r=[ n×(∑x × y-∑x-∑y) / (n×∑x²-∑x²-n×∑y²-∑y²) ]
The given data in form of Hours X and Scores Y is
Hours X : 08 10 07 13 07 09 09 10 11 8
Scores Y: 60 75 55 83 61 73 80 85 85 86
From the given data, we account that
∑x=92,∑y=723,∑xy=6811,∑x²=878,∑y²=53395,
After putting the values we get,
r=[100×(10×6811-92×723) / [(10×878 - (92)²]×[10×53395-(723)²]
=>r=100×(68110-66516) / [(8780-8464) × (533950-522729)
=>r=159400 / (216×11221)
=>r=159400/2423736
=>r=0.0657
Hence, the scores of the test and time spent has correlation coefficient value as 0.0657.
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(Complete question) is:
The final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam are given below. can you conclude that there is a correlation between the scores on the test and the times spent studying.Hours (x) 08 10 07 13 07 09 09 10 11 8Scores (y) 60 75 55 83 61 73 80 85 85 66.
What is the value for the lower quartile of the set?
Answer:
I believe its 4
Step-by-step explanation:
the mean is 115 the other numbers that make the mean are 110 and 90 i cant figure out what the third number is
Answer: 145
Step-by-step explanation:
To find the total of the three numbers: 115 x 3 = 345
So the 3rd number must be 345 - 110 -90 = 145
Check the answer= 110 + 90 +145
3
= 115
To divide two powers with the same base, (fill the blank)
the exponents.
Find the sixth term of a geometric sequence for which a2=288 and r=1/4
Answer: 9/8
Step-by-step explanation:
\(a_2=288=a_1 r\\\\a_6=a_1 r^5\\\\\therefore a_6=a_2 r^4=(288)(1/4)^4=\frac{9}{8}\)
Mrs. Johnson lets her students choose between two word problems:
Problem A: If you are digging for dinosaurs and need to fence off your dig site, what's the biggest site you can fence off with 40 ft. of fence?
Problem B: What is the largest area you can create with 20 inches of rope?
Mrs. Johnson finds a significant majority of her students chose to work Problem A. Which of the following is the most likely reason more students chose Problem A instead of Problem B?
The reason to choose problem B over A is simple - it is more relatable to them.
Problem A involves dinosaurs, which may be more interesting to students than the abstract concept of creating an area with rope. Additionally, the use of feet as a unit of measurement in Problem A may be more familiar to students than inches.
Finding a number that represents the quantity of anything is called measurement. An accepted quantity that is used to represent a physical quantity is called a measurement unit. Let's learn about some of the standard units used to measure physical quantities.
The inch, foot, yard, and mile are the fundamental units of length and distance measurement in the English system. The rod, furlong, and chain are additional length units.
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7. a) List three pairs of fractions that have a sum of 3\5.
The three pairs of fraction whose sum is 3/5 are
1/5 + 2/5-2/5+1-6/5+9/5We have to find pairs of fractions that have a sum of 3/5.
First pair:
1/5 + 2/5
= 3/5
Second pair:
= -2/5 + 1
= -2/5+ 5/5
= 3/5
Third pair:
= -6/5 + 9/5
= 3/5
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The expression 4·81‾‾‾√ gives the perimeter of the square shown. What is the perimeter, in meters, of the square?
Answer:
The perimeter is 4√81 = 4 × 9 = 36 meters.
Sequence A counts down from 46 by 7: 46, 39, 32 and so on. Sequence B counts down from one number (not 46) by another number (not 7). In sequence B, the second number is 35, the sixth number is 23, and the sequence ends with the first single-digit number that it comes to. how many numbers are in the sequence B
Answer:
Step-by-step explanation:
Sequence is geometric.
\(\\u_2=35=u_1+r\\u_6=23=u_1+5*r\\\\u_6-u_2=23-35=-12=u_1+5r-(u_1+r)=4r\\r=-3\\u_1=u_2-r=35-(-3)=38\\\\\text{Let say n the number or numbers in the sequence}\\\\u_n=38+(n-1)*(-3) <10\\38-3n+3 < 10\\41-10 <3n\\n > \frac{31}{3} \\n > 10\\\\u_n=38+(n-1)*(-3) > 0\\\\38-3n+3 >0\\41 >3n\\\\n < \frac{41}{3} \\n< 13.66666\\n < 14\\Possible\ value\ of \ n:\ 11;12;13\\\)
Last term is 8; 5; 2
Numbers of sequence B= 11 or 12 or 13
If X1 and X2 are independent nonnegative continuous random variables, show that
P{X1 < X2| min(X1, X2) = t} = r1(t) / [r1(t) + r2(t)]
where ri (t ) is the failure rate function of X i .
P{X1 < X2 | min(X1, X2) = t} = r1(t) / [r1(t) + r2(t)], using the relationship between failure rate functions, survival functions.
To show that P{X1 < X2 | min(X1, X2) = t} = r1(t) / [r1(t) + r2(t)], where ri(t) is the failure rate function of Xi, we can use conditional probability and the relationship between the failure rate function and the survival function.
Let's start by defining some terms:
S1(t) and S2(t) are the survival functions of X1 and X2, respectively, given by S1(t) = P(X1 > t) and S2(t) = P(X2 > t).
F1(t) and F2(t) are the cumulative distribution functions (CDFs) of X1 and X2, respectively, given by F1(t) = P(X1 ≤ t) and F2(t) = P(X2 ≤ t).
f1(t) and f2(t) are the probability density functions (PDFs) of X1 and X2, respectively.
Using conditional probability, we have:
P{X1 < X2 | min(X1, X2) = t} = P{X1 < X2, min(X1, X2) = t} / P{min(X1, X2) = t}
Now, let's consider the numerator:
P{X1 < X2, min(X1, X2) = t} = P{X1 < X2, X1 = t} + P{X1 < X2, X2 = t}
Since X1 and X2 are independent, we have:
P{X1 < X2, X1 = t} = P{X1 = t} P{X1 < X2 | X1 = t} = f1(t) S2(t)
Similarly, we can obtain:
P{X1 < X2, X2 = t} = P{X2 = t} P{X1 < X2 | X2 = t} = f2(t) S1(t)
Therefore, the numerator becomes:
P{X1 < X2, min(X1, X2) = t} = f1(t) S2(t) + f2(t) S1(t)
Now, let's consider the denominator:
P{min(X1, X2) = t} = P{X1 = t, X2 > t} + P{X2 = t, X1 > t} = f1(t) S2(t) + f2(t) S1(t)
Substituting the numerator and denominator back into the original expression, we get:
P{X1 < X2 | min(X1, X2) = t} = (f1(t) S2(t) + f2(t) S1(t)) / (f1(t) S2(t) + f2(t) S1(t))
Using the relationship between survival functions and failure rate functions (ri(t) = -d log(Si(t))/dt), we can rewrite the expression as:
P{X1 < X2 | min(X1, X2) = t} = (r1(t) S1(t) S2(t) + r2(t) S1(t) S2(t)) / (r1(t) S2(t) S1(t) + r2(t) S1(t) S2(t))
= r1(t) / (r1(t) + r2(t))
Thus, we have shown that P{X1 < X2 | min(X1, X2) = t} = r1(t) / [r1(t) + r2(t)], using the relationship between failure rate functions, survival functions
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Find the range of the data set shown in the table below. Data Set C 1.75 0.64 0.82 1.19 1.6 Answer: Submit Answer
Answer: 1.11
Step-by-step explanation:
To find the range of the data set all you have to do is subtract the higher number with the lowest number, so in this math problem, we will take 1.75- 0.64 and we get 1.11 :]
fill up tables below:
if-then statement:if you get at least 6 hours of sleep before a test, you will perform better
converse:
inverse:
contrapositive:
if-then statement:if you exercise everyday, then you will be healthier
converse:
inverse:
contrapositive:
if-then statement:if you follow the health protocols, you will be protected from coronavirus
converse:
inverse:
contrapositive:
if-then statement:if two lines are perpendicular, then the measure of the angle is 90°.
converse:
inverse:
contrapositive:
if-then statement:if a polygon has three sides, then it is a triangle.
converse:
inverse:
contrapositive:
Answer:
converse action
inverse object
contrapositive lokend
Step-by-step explanation:
Select ALL the correct answers.
The base of a pentagon lies on ray AB as shown.
Determine which statements are true.
a. (2x + 14)° = 90°
b. X = 7°
c. (2x + 14)° + (7x + 13)° = 180°
d. (7x + 13)° = 132°
e. (2x + 14)° = 48°
Answer:
(2x + 14)° + (7x + 13)° = 180°
(2x + 14)° = 48°
(7x + 13)° = 132°
All 3 statements are true
Step-by-step explanation:
3
State the Domain and Range of the relation: {(8,5), (-6,-9), (2,5), (0,-8)}
D:{8,-6,2,0}: R:{5,-9.5,-8}
D:{5.-6.2.-8}; R:{0,-8.-2.-6}
D:(-6,0,2.8) : R:(-9,-8,5)
A recipe for flapjacks uses only syrup sugar butter and oats in the ratio 1:2:2:4 Using this recipe 250g of syrup are needed to make 12 flapjacks find the quantity of oats needed to make 18 of these flapjacks?
A recipe for flapjacks uses only syrup sugar butter and oats in the ratio 1:2:2:4. Using this recipe 250g of syrup are needed to make 12 flapjacks. The quantity of oats needed to make 18 of these flapjacks is 375g.
The recipe for flapjacks has a ratio of syrup to sugar to butter to oats of 1:2:2:4. This means that for every 1 unit of syrup, there are 2 units of sugar, 2 units of butter, and 4 units of oats.
We know that 250g of syrup are needed to make 12 flapjacks. To find out how much oats are needed to make 18 flapjacks, we can set up a proportion:
syrup: sugar: butter: oats = 1:2:2:4
250g:x = 12:18
To solve for x, we can cross-multiply and simplify:
250g * 18 = 12x
4500g = 12x
x = 375g
Therefore, we need 375g of oats to make 18 flapjacks using this recipe.
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There are 3 different highways from City W to
City X, 4 different highways from City X to
City Y, and 3 different highways from City Y
to City Z. How many different routes are there
for a trip from City W to City X to City Y to
City Z?
Answer:
6 x 4 you have 4 numbers and each can be put in 6 different ways. so it is 24 i think
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
4*3*3
12*3
36
Where is each answer
Answer:
1.(D)
2.(A)
3.(C)
4.(B)
Which set of two variables is most likely to have a cause-and-effect relationship? A. The age of a teacher and the income of the teacher B. The height of a person and the weight of a person C. The weight of a box and the postage rate we have to pay to ship the box to California D. The make of a car and the mileage of the car
The set of variables that is most likely to have a cause-and-effect relationship is option C: the weight of a box and the postage rate we have to pay to ship the box to California.
Based on the given sets of variables, the set most likely to have a cause-and-effect relationship is:
B. The height of a person and the weight of a person
This is because there is a general correlation between a person's height and their weight, as taller individuals tend to have higher weights. While this is not an absolute rule, there is a stronger cause-and-effect relationship in this set compared to the other options.
This is because the weight of the box is a likely cause of the postage rate, as the heavier the box, the more postage we will have to pay to ship it. In options A and B, there may be a correlation between the variables, but it is less likely that there is a direct cause-and-effect relationship. In option D, the make of a car is not a likely cause of its mileage, as there are many other factors that can affect a car's mileage.
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katlin bought 14 pencils, it costs her $3.50. how much did each pencil cost?
Answer: 0.25$ or a quarter
Step-by-step explanation:
Katlin bought 14 pencils, which cost her $3.50. So all you have to do is divide the amount ($) by the number of pencils.
3.50/14 = 0.25$
3.50 divided by 14
Each pencil cost a quarter
When an organization with a functional structure diversifies into related product-markets, it generally a. develops a worldwide product-division structure. b. maintains its functional structure. c. develops a divisional structure. d. develops a matrix structure.
When an organization with a functional structure diversifies into related product-markets, it generally maintains its functional structure.
In a functional structure, the organization is organized based on specialized functions such as marketing, finance, operations, and human resources. Each function operates independently, and decisions are made within each functional unit. When diversifying into related product-markets, the organization can leverage its existing functional expertise to support the new product lines or markets.
Maintaining the functional structure allows the organization to retain the benefits of specialization and efficiency within each function. It also enables the organization to capitalize on the existing knowledge, skills, and resources of each functional area, ensuring a smoother transition into new product-markets.
This approach minimizes disruption and allows the organization to effectively manage the integration of new product lines while maintaining focus on core competencies. By leveraging the existing functional structure, the organization can adapt and respond to the specific requirements of each product-market while maximizing operational efficiency.
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HELP
Distinguish the difference between linear relationships, nonlinear relationships, and correlations.
Answer:
The graph of a linear equation forms a straight line, whereas the graph for a non-linear relationship is curved. ... A non-linear relationship reflects that each unit change in the x variable will not always bring about the same change in the y variable
Which statement accurately describes how to reflect point A (3, −1) over the y-axis?
Answer:
Are there any options to choose from???
Macy's department store just had a huge sale and now needs to increase the price of all retail by 13%. What will be the price of the shirt after the markup?
(the shirt costs $42.00)
Answer:
47.46 dollars
Step-by-step explanation:
If the store Macy has to increase the retail by 13%, then Macy store must increase the shirt. So you must increase 42 dollar by 13%.
A swimming pool has a length of 28 feet, a width of 16 feet, and a depth of 7 feet.
How much water can the swimming pool hold?
Answer:
The pool can hold 3,136 cubic feet of water
Step-by-step explanation:
To know how much water the pool can hold, we need to find the volume of this swimming pool, because the volume is how much a container can hold.
The formula for volume is L*W*H (length times width times height)
Let's multiply!
28*16*7=3136
estimate the amount of personal space each person living in the sighet ghetto would have. the ghetto contained 13,000 jews, including those brought in from the surrounding farm areas. the ghetto was extremely crowded with nearly 20 people in every room. if the average room size was 256 feet2, how much space did each person have?
Each person living in the Sighet ghetto would have had an estimated personal space of 12.8 square feet, which is extremely cramped and overcrowded.
What is area?A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.
First, we need to calculate the total number of rooms in the ghetto:
Number of people = 13,000
Number of people per room = 20
Total number of rooms = Number of people / Number of people per room = 13,000 / 20 = 650
Next, we can calculate the total area of all the rooms:
Total area of all the rooms = Number of rooms x Average room size = 650 x 256 = 166,400 square feet
Finally, we can calculate the amount of personal space each person had by dividing the total area of all the rooms by the number of people:
Personal space per person = Total area of all the rooms / Number of people = 166,400 / 13,000 = 12.8 square feet
Therefore, each person living in the Sighet ghetto would have had an estimated personal space of 12.8 square feet, which is extremely cramped and overcrowded.
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PLEASE HELP ASAP
REFER TO PHOTO AND ANSWERS THE QUESTIONS
The required all three situation are explained to the detector.
How we solve this situation?a. The equation for the distance-time graph of the student's motion is:
distance = rate × time + initial distance
where rate is the speed at which the student is walking (2 feet per second), time is the elapsed time in seconds, and initial distance is the distance between the student and the motion detector at the start (15 feet). This can be written in slope-intercept form as:
distance = 2t + 15
where the slope is 2 (the rate of change of distance with respect to time) and the y-intercept is 15 (the initial distance from the motion detector).
b. In this situation, the slope of the equation (2) represents the speed at which the student is walking towards the motion detector. It tells us that for every one second that passes, the student moves 2 feet closer to the motion detector. In other words, the slope represents the rate of change of distance with respect to time.
c. The y-intercept of the equation (15) represents the initial distance between the student and the motion detector. It tells us that at the start of the motion detector recording, the student was 15 feet away from the detector. When time is 0 (at the start), the distance traveled is just the initial distance, which is the y-intercept.
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Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the P-value for the hypothesis test.
n1 = 50 x1 = 8 n2 = 50 x2 = 7
The P-value for the hypothesis test is approx. 0.7064.
To find the P-value for the hypothesis test, we need to perform a two-sample proportion test. The formula to calculate the test statistic for this test is given by:
\(\[ z = \frac{{(\hat{p}_1 - \hat{p}_2) - 0}}{{\sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)}}} \]\)
where \(\hat{p}_1\) and \(\hat{p}_2\) are the sample proportions, \(\hat{p}\) is the combined sample proportion, \(n_1\) and \(n_2\) are the sample sizes, and 0 is the hypothesized difference in proportions.
In this case, we have \(n_1 = 50\), \(x_1 = 8\) (number of successes in sample 1), \(n_2 = 50\), and \(x_2 = 7\) (number of successes in sample 2).
First, we calculate the sample proportions:
\(\[ \hat{p}_1 = \frac{x_1}{n_1} = \frac{8}{50} = 0.16 \]\)
\(\[ \hat{p}_2 = \frac{x_2}{n_2} = \frac{7}{50} = 0.14 \]\)
Next, we calculate the combined sample proportion:
\(\[ \hat{p} = \frac{x_1 + x_2}{n_1 + n_2} = \frac{8 + 7}{50 + 50} = 0.15 \]\)
Then, we calculate the standard error:
\(\[ SE = \sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)} = \sqrt{0.15(1 - 0.15)\left(\frac{1}{50} + \frac{1}{50}\right)} \approx 0.0529 \]\)
Finally, we calculate the test statistic:
\(\[ z = \frac{(\hat{p}_1 - \hat{p}_2) - 0}{SE} = \frac{(0.16 - 0.14) - 0}{0.0529} \approx 0.3772 \]\)
To find the P-value, we look up the test statistic in the standard normal distribution table. In this case, the P-value is the probability of observing a test statistic greater than 0.3772 or less than -0.3772.
Consulting the table, we find that the P-value is approximately 0.7064. Therefore, the P-value for the hypothesis test is approximately 0.7064.
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Write the equation of the line that is parallel to the line y=−74x−2
y
=
−
7
4
x
−
2
through the point (4,-2).
Answer:
The answer is
y = 74x - 298Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the line parallel to the equation above we must first find the slope of the above equation
y = - 74x - 2
Comparing with the above formula
Slope = - 74
Since the lines are parallel their slope are also the same
Slope of parallel line = - 74
Equation of the line using point (4 , -2) and slope - 74 is
y + 2 = 74( x - 4)
y + 2 = 74x - 296
y = 74x - 296 - 2
We have the final answer as
y = 74x - 298Hope this helps you
Answer:
y= -7/4x+5
Step-by-step explanation:
I got it correct on founders edtell
. How many days will it take for $9500 to earn $800 at 8.25% p.a.?
It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.
To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:
Interest = Principal * Rate * Time
In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.
Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).
$800 = $9500 * 0.0825 * (t / 365)
Simplifying the equation:
800 = 9500 * 0.0825 * (t / 365)
Divide both sides by (9500 * 0.0825):
800 / (9500 * 0.0825) = t / 365
Simplify the left side:
800 / (9500 * 0.0825) ≈ 0.1083
Now, solve for t by multiplying both sides by 365:
0.1083 * 365 ≈ t
t ≈ 39.532
Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.
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Maria stated that 5/6 is between 4/5 and 6/7
Answer:
It's true, if that's what your asking.
Step-by-step explanation:
5/6 = 0.833 to 3 sig.fig.
4/5 = 0.800 to 3 sig.fig.
6/7 = 0.857 to 3 sig.fig.
0.833 is more than 0.800 and less than 0.857.
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