The critical value of r is mathematically given as r = +0.487, with no significant linear correlation. Option A.
What are the critical values of r?
Question Parameters
r = -0.868
n = 5
df = 5 - 2
df = 3
[tex]\alpha / 2 =0.025[/tex]
Critical values [tex]r= \pm 0.878[/tex]
Generally, there exists no linear correlation between the Critical values
as r=0.878
In conclusion, Critical values: r = +0.487, no significant linear correlation
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9
10
11
12
13
14
15
16
17
18
19
data
[Graphs generated by this script: setBorder(15); initPicture(9,19,-3,4);axes(1,100,1,null,null,1,'off');text([14,-3],"data");line([9,2],[9,4]); rect([11,2],[18,4]); line([15,2],[15,4]);line([19,2],[19,4]); line([9,3],[11,3]); line([18,3],[19,3]);]
Based on the boxplot above, identify the 5 number summary
,
,
,
,
The 5 number summary are
Minimum = 10, Lower quartile = 11, Median = 12, Upper quartile = 17 and Maximum = 19
How to identify the 5 number summary?The complete question is in the attached image
The 5 number summary of box plot are:
MinimumLower quartileMedianUpper quartileMaximumEach of these summaries are represented by the vertical lines of the box plot
From the attached box plot, we have:
Minimum = 10, Lower quartile = 11, Median = 12, Upper quartile = 17 and Maximum = 19
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The town of pratt has a population of about 8,260,000. express this number in scientific notation
Answer:
8.26 x 10^6
Step-by-step explanation:
Scientific notation mean multiply by 10 power
Write an equation to match the verbal statement.
one-half is equal to the product of a number, c, and eight
Answer:
1/2 = c*8 or c*8=1/2
Step-by-step explanation:
It says 1/2 is equal to which means 1/2 is on the side for one of the equations. It doesn't really matter. It says is equal to a number, c and eight. Its implying that you multiply c and 8 together because if it meant for another number to be multiplied then a third symbol would be in the operation.
The midpoint of STis W(-3, 1). Point S is located at (-7,-9).
What are the coordinates of point T?
O (-5,5)
O (4,4)
O (1,11)
O (10,-10)
Answer:
T [1;11].
Step-by-step explanation:
x-coordinate of the point T is:
x(T)=2*x(W)-x(S); ⇒ x(T)=2*(-3)+7=1;
y-coordinate of the point T is:
y(T)=2*y(W)-y(S); ⇒ y(T)=2*1+9=11.
Finally, T(1;11).
Perform the operation. 3/a^2b + 2/ab^2
The simplified form of the expression is 3b+2a/(ab)²
Sum of fractionsFractions are written as a ratio of two integers. Given the expression below;
3/a^2b + 2/ab^2
Find the LCM
3/a^2b + 2/ab^2 = 3b+2a/a²b²
3/a^2b + 2/ab^2 = 3b+2a/(ab)²
Hence the simplified form of the expression is 3b+2a/(ab)²
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The data in the tables below were collected from first year students at a community college. The variable is “number of credit cards.” Two of the probabilities are missing.
Number of credit cards 0 1 2 3 4 5
Number of students 122 40 28 2 2 6
Based on this data, we can estimate the probability that a randomly selected student has X number of credit cards using relative frequencies to create a probability distribution. Note: There are 200 students.
Number of credit cards 0 1 2 3 4 5
Probability 0.14 0.01 0.01 0.03
Use this information to answer the first two questions below.
What is P(0)? (Hint: Find the relative frequency for this outcome. There are 200 students in the data set.)
The probability that number of credit cards is 0 is 0.61
What is Probability ?Probability is the likeliness of an event to happen ,
It has a range from 0 to 1 , where 0 indicates uncertainty while 1 indicates certainty
The data for the college students is given and it has been asked to determine P(0)
The total students are 200
and the students that have no credit card from the data is 122
Therefore
P(0) = 122/200 = 0.61
Therefore the probability that number of credit cards is 0 is 0.61
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Work out the area of this triangle.
6 cm
11 cm
12 cm
Step-by-step explanation:
there is a right angle formed in this question
this leads us to Pythagoras theorem
Hyp²=opp²+Adj²
Hyp²=11²+6²
Hyp²=121+36
Hyp²=157
Hyp=√157
Hyp=12.529964086
Hyp=12.5
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In the diagram of AABC shown below, DE || BC.
B
A
3) 3
4) 15
E
If AB= 10, AD = 8, and AE = 12, what is the
length of EC?
1) 6
2) 2
C
dd or create
k as done
nments
As
to Susan Guha
Answer:
3
Step-by-step explanation:
AD/AB = AE/AC
8/10 = 12/AC
AC = 12(10/8) = 15
EC = 15 - 12 = 3
What do you think would happen to the average if you kept rolling the number cube over and over?
The average would keep increasing.
The average would keep decreasing.
The average would approach a set value.
The average would not follow any pattern.
Answer: ( C ) the average would approach a set value.
your heart beats 86 times per minute proportional or non proportional
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Using the transformation T: (x, y) (x + 2, y + 1), find the distance named.
The required distance AB is given by .[tex]\sqrt{17}[/tex]
What is transformation?Transformation, is process which is used to change the position of the bor shapes.
Since, coordinate of A(0,0) B(1,4)
After transformation T: (x, y) (x + 2, y + 1) of A, B it become A'(2, 1), B '(3,5)
Now,
Distance = √(x2-x1)^2+(y2-y1)^2
AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] ; A'B' = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] ;
A(0,0) B(1,4) A'(2, 1), B '(3,5)
AB= [tex]\sqrt{(1-0)^2+(4-0)^2}[/tex] A'B'= [tex]\sqrt{(3-2)^2+(5-1)^2}[/tex]
AB= √17 A'B' = √17
Thus, the required distance AB and A'B' = √17.
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The scores on a psychology exam were normally distributed with a mean of 61 and a standard deviation of 5. A failing grade on the exam was anything 2 or more standard deviations below the mean. What was the cutoff for a failing score? Approximately what percentage of the students failed ?
The cutoff for a failing score is 51 and about 2.28% of the students failed the psychology exams.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Z score is given by the equation:
z = (raw score - mean) / standard deviation
Given mean of 61 and a standard deviation of 5.
The z score that corresponds to 2 or more standard deviations below the mean is -2. Hence:
-2 = (x - 61) / 5
x = 51
P(z < -2) = 0.0228
The cutoff for a failing score is 51 and about 2.28% of the students failed the psychology exams.
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6) You have a rectangular backyard that is 90 feet wide. It has an area of 10,800 square feet. You are
putting a fence along one length of the yard.
a. Use the formula for the area of a rectangle A = 1 w, where I is the length, and w is the width. Find
the length of your backyard.
b. The fence costs $12.50 per linear foot. What is the total cost of the fence for one length of the yard?
Answer:
Length = 120 ft
Total cost = 1500$
Step-by-step explanation:
First, to find the length of the backyard we reverse the formula (A = l * w) and divide 10,800 by 90.
10,800 ft^2 / 90 ft = 120 ft.
we can check this by plugging the length of 120 ft into the formula:
120 ft * 90 ft = 10,800 ft^2.
Next, to find the cost of the single length of fence we multiply our length (120 ft) by the cost ($12.50):
120 * 12.50 = $1500
Juan owns 7 pairs of pants, 3 shirts, 5 ties, and 6 jackets. How many different outfits can he wear to school if he must wear one of each item?
To solve this problem, just use multiplication.
[tex]7\text{ pairs of pants}*3\text{ shirts}*5\text{ ties}*6\text{ jackets}=\large\boxed{630\text{ outfits}}[/tex]
You can somewhat think of this situation as a sort of tree. You start with 7 large branches representing the pants, then for every one of those you have 3 medium-sized branches to represent the pairs of pants. Each one of those has 5 sticks for the ties, which in turn each have 6 leaves to represent the jackets and therefore a complete outfit. The solution is found by getting the total number of leaves on the tree.
Let g be the piecewise defined function shown.
g(x)=
x + 4, −5 ≤ x ≤ −1
2 − x, −1 < x ≤ 5
Evaluate g at different values in its domain.
g(−4) =
g(−2) =
g(0) =
g(3) =
g(4) =
Work is attached. Hope it helps!
A student found the solution below for the given inequality. Which of the following explains whether the student is correct? The student is completely correct because the student correctly wrote and solved the compound inequality. The student is partially correct because only one part of the compound inequality is written correctly. The student is partially correct because the student should have written the statements using “or” instead of “and.” The student is completely incorrect because there is “ no solution “ to this inequality.
The statement which best explains whether the student is correct is: D. the student is completely incorrect because there is "no solution" to this inequality.
What is an inequality?An inequality refers to a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Since |x-9| is greater than or equal (≥) to zero (0), we can logically infer that this student is completely incorrect because there is "no solution" to this inequality.
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Complete Question:
A student found the solution below for the given inequality.
|x-9|<-4
x-9>4 and x-9<-4
x>13 and x<5
Which of the following explains whether the student is correct?
A. The student is completely correct because the student correctly wrote and solved the compound inequality.
B. The student is partially correct because only one part of the compound inequality is written correctly.
C. The student is partially correct because the student should have written the statements using “or” instead of “and.”
D. The student is completely incorrect because there is “ no solution “ to this inequality.
cuantos parque solares hay en china
The translation of the question is:
What are solar parks?The solar park is a concentrated zone of development of solar power generation projects and provides developers an area that is well characterized, with proper infrastructure and access to amenities and where the risk of the projects can be minimized.
How many solar parks are there in China?
Huanghe Hydropower Hainan Solar Park – 2.2GWTengger Desert Solar Park – 1.55GW Datong Solar Power Top Runner Base – 1.1GWYanchi Ningxia Solar Park – 1GWLongyangxia Dam Solar Park – 850MWLearn more about solar energy here:
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Jason has exactly four wooden toy blocks with digits on them. Two of the blocks have the digit 0, one of the blocks has the digit 1, and one of the blocks has the digit 2. How many distinct positive integers can he form using one or more of the blocks, without using each block more than once?
The number of positive integers is 24
How to determine the number of positive integers?The digits of the wooden toys are:
0, 0, 1, 2
Since each block cannot be used more than once, and there are four blocks in total;
The number of positive integers is;
Integers = 4!
Expand
Integers = 4 * 3 * 2 * 1
Evaluate
Integers = 24
Hence, the number of positive integers is 24
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please help! thankssss
find the difference (2x^2+6x-11)-(5x^2-
A.
7 x 2 + 7 x - 18
B.
- 3 x 2 + 5 x - 4
C.
7 x 2 + 5 x - 4
D.
- 3 x 2 + 7 x - 18
he difference between the expressions (2x² + 6x – 11) and (5x² – x + 5) will be –3x² + 7x – 18. Then the correct option is D.
What is subtraction?It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
The expressions are given below.
(2x² + 6x – 11) and (5x² – x + 5)
Then the difference between the expressions (2x² + 6x – 11) and (5x² – x + 5) will be
⇒ (2x² + 6x – 11) - (5x² – x + 5)
⇒2x² + 6x – 11 – 5x² + x – 5
⇒ –3x² + 7x – 18
Then the correct option is D.
The complete expression is given below.
(2x² + 6x – 11) and (5x² – x + 5)
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The scale in the drawing is 2 cm : 5 m. Select from the drop down the correct numbers into the boxes to give the length, width, and area of the actual room.
The length, width, and area will be 25m, 15m, and 375m².
How to calculate the area?From the information given, the scale in the drawing is 2cm : 5m and the length and width are given as 10cm and 6cm respectively.
Length = 10cm = 10 × 2.5 = 25m
Width = 6cm = 6 × 2.5m = 15m
Area = Length × Width
Area = 25 × 15
Area = 375m²
Therefore, the area is 375m².
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How do you compute -3+9-7
Answer:
-1
Step-by-step explanation:
-3 + 9 = 6, 6 - 7 = -1
........................
Answer:
???????
Step-by-step explanation:
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By visual inspection, determine the best-fitting regression model for the
scatterplot,
Answer:
Linear
Step-by-step explanation:
The line is relatively straight.
Which numbers are perfect squares? Check all that apply. 02 016 018 032 0 044 094 100
Answer:
16, 100
Step-by-step explanation:
A perfect square is a number that can be achieved by multiplying a number by itself.
Example: 100 = 10 x 10, so it is a perfect square
2 is not a perfect square because it has no factors that can be multiplied with each other to equal 2. An easy way to check is to use the square root function on your calculator.
If the result is a whole number then it's a perfect square.
QUESTION IS DOWN BELOW 15 POINTS EACH
The surface area of the given triangular prism is 960 yd²
Calculating surface areaFrom the question, we are to calculate the surface area of the given figure
The given figure is a triangular prism
Surface area of the triangular prism =
[tex](26 \times 12 )+ 2(\frac{1}{2} \times 10\times 24) + (24 \times 12) + (12 \times 10)[/tex]
= 312 + 240 + 288 + 120
= 960 yd²
Hence, the surface area of the given triangular prism is 960 yd²
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Bernice received the following scores on five science tests: 96, 77, 86, 97, and 89.
Which of the following statements is true?
O The mean of the set is less than the median.
O The mode of the set of scores is 96.
O The median of the set of scores is 86.
o The mean and the median of the set of scores are the same.
Answer:
the mean and the median of the set of scores are the same.
Step-by-step explanation:
median = 89
mean = 96+77+86+97+89 = 445 / 5
= 89
mode = none
The mean and the median of the set of scores are the same.
What is mean and median?Introduction to Mean, Median, and Mode: In statistics, we frequently choose a representative value to roughly characterise the entire collection of data. The name "measure of central tendency" denotes that this representative value is one around which the data is centred. The mean, median, and mode are these central tendencies. The most typical way to measure central tendency is with the mean. In actuality, it represents the mean of the specified set of data. Both continuous and discrete data can be used with it. In most cases, the median shows the midpoint of the given set of data when it is arranged in a specific order.
Mean: - Average value
Median: - Middle term (after arranging in either accending or descending order)
Mean = 445/5 = 89
Median = Middle term = 3rd term = 89
Mean and median are equal.
Hence, option D is correct
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Suzanne is looking at taking out a personal loan. Opportunity Loans is offering her $1600 at 3.45% for 1 year, with interest compounding monthly. General Loans is offering her $1600 at 4.2% for 1 year, with interest compounding quarterly. Assuming she makes no payments until the 1 year is up, how much interest will have accrued on each loan? On which loan will she earn the least amount of interest?
Step-by-step explanation:
So the general formula for compound interest is [tex]A = P(1+\frac{r}{n})^{nt}[/tex] where r is the interest rate, t is the time in years, and n is the amount of compounds per year. So plugging in the values for both equations you'll get
Opportunity Loans:
[tex]A = 1600(1+\frac{0.0345}{12})^{(12)(1)}[/tex]
[tex]A = 1600(1.002875)^{12}[/tex]
[tex]A \approx 1600(1.035)[/tex]
[tex]A = \$1,656.08[/tex]
Now to find the interest accrued on this loan you simply subtract 1600 from the A or final amount
[tex]Interest=1656.08-1600\\Interest=56.08[/tex]
General Loans:
[tex]A = 1600(1+\frac{0.042}{4})^{(4)(1)}[/tex]
[tex]A = 1600(1.0105)^4[/tex]
[tex]A \approx 1600(1.042)[/tex]
[tex]A = 1,668.27[/tex]
To find the interest we do the same thing we did in the previous problem
[tex]interest = 1668.27-1600\\interest=68.27[/tex]
Opportunity loans has the least amount of interest after a year
Pls Help! Geometry
Find the area of the shaded region
Answer: 112.5 square cm
Step-by-step explanation:
The area of the rectangle is [tex](20)(9)=180[/tex] square cm.
The area of the white triangle is [tex]\frac{1}{2}(9)(20-3-2)=67.5[/tex] square cm.
So, the area of the shaded region is [tex]180-67.5=112.5[/tex] square cm.
A square has a perimeter of 24cm. What is the length of each side?
Quick process:
⇒ Square has 4 sides
⇒ We have been given that the perimeter is 24 centimeters
⇒ Each side is equal in value and each side added up together must equal 24.
⇒ So to finish this out we need to divide the given perimeter which is 2 4 by the amount of side a square has which is 4.
⇒ So 24/4 = 6
Check the answer:
6 + 6 = 12
12 + 12 = 24 √
Perimeter of a square =24cm
Formula=4s
So 4s=24
s=24/4
s=6
Therefore side of the square is 6cm.
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{(4z-7,z-4,z) |z is any real number} z=-5
The set when z = -5 is {-27, -9, -5}
How to determine the set elements?The set is given as:
{(4z-7,z-4,z) |z is any real number}
When z=-5, we have:
4z - 7 = 4(-5) - 7 = -27
z - 4 = -5 - 4 = -9
z = -5
So, we have:
{(4z-7,z-4,z) |z is any real number} ⇒ {-27, -9, -5}
Hence, the set when z = -5 is {-27, -9, -5}
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