Answer:
a) [tex]r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857[/tex]
The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables
b) [tex]m=\frac{64.5}{2000}=0.03225[/tex]
Now we can find the means for x and y like this:
[tex]\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50[/tex]
[tex]\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425[/tex]
[tex]b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27[/tex]
So the line would be given by:
[tex]y=0.3225 x -0.27[/tex]
Step-by-step explanation:
Part a
The correlation coeffcient is given by this formula:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
For our case we have this:
n=4 [tex] \sum x = 200, \sum y = 5.37, \sum xy = 333, \sum x^2 =12000, \sum y^2 =9.3501[/tex]
[tex]r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857[/tex]
The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables
Part b
[tex]m=\frac{S_{xy}}{S_{xx}}[/tex]
Where:
[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}[/tex]
[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}[/tex]
With these we can find the sums:
[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=12000-\frac{200^2}{4}=2000[/tex]
[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=333-\frac{200*5.37}{4}=64.5[/tex]
And the slope would be:
[tex]m=\frac{64.5}{2000}=0.03225[/tex]
Now we can find the means for x and y like this:
[tex]\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50[/tex]
[tex]\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425[/tex]
And we can find the intercept using this:
[tex]b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27[/tex]
So the line would be given by:
[tex]y=0.3225 x -0.27[/tex]
Which point has coordinates (-3,-5)
Y
U
W
Z
Answer:
U
Step-by-step explanation:
Find all pairs $(x,y)$ of real numbers such that $x + y = 10$ and $x^2 + y^2 = 56$.
Answer:
13.31 and - 3.31
Step-by-step explanation:
(x + y)^2 = x^2 + y^2 + 2xy ; x + y = 10; x^2 + y^2 = 56
This means ;
10^2 = 56 + xy;
100-56 = XY
44 = xy---------(3)
From x + y = 10
x = 10- y
Substitute that in eqn 3;
We have: 44 = (10-y) y
44 =10y - y^2
Y^2-10y -44 = 0;
From formula method of quadratic equation;
Y =[ - (-10) +_ √ (-10)^2 + 4 × 1 x (-44)] / 2 × 1
y = [ 10 +_√ (100 + 176) ]/ 2]
y = [ 10 +_ √ 276]/ 2
y = [ 10 + √ 276]/ 2 or [ 10 _ √ 276]/ 2
y = 13.31 or - 3.31
Similarly x = 10 - 13.31 or 10 - (-3.31)
x = - 3.31 or 13.31
The required ordered pairs are (5+√3, 5-√3) and (5-√3, 5+√3).
Given equations are:
[tex]x+y=10[/tex]......(1)
[tex]x^{2} +y^{2} =56[/tex].......(2)
What is an equation?An equation is a statement that equates to two statements.
On squaring equation (1) we get
[tex]x^{2} +y^{2} +2xy=100[/tex]
From equation(2) [tex]x^{2} +y^{2} =56[/tex]
So, [tex]2xy=44[/tex]
[tex]xy=22[/tex]
[tex]y=\frac{22}{x}[/tex]
Put [tex]y=\frac{22}{x}[/tex] in equation (1)
We get [tex]x+\frac{22}{x} =10[/tex]
[tex]x^{2} -10x+22=0[/tex]
[tex]x=5+\sqrt{3}[/tex]
[tex]x=5-\sqrt{3}[/tex]
If [tex]x=5+\sqrt{3}[/tex],
[tex]y=10-x[/tex]
[tex]y=5-\sqrt{3}[/tex]
So the ordered pair is [tex](5+\sqrt{3}, 5-\sqrt{3} )[/tex]
If [tex]x=5-\sqrt{3}[/tex],
[tex]y=10-x[/tex]
[tex]y=5+\sqrt{3}[/tex]
So the ordered pair is [tex](5-\sqrt{3}, 5+\sqrt{3} )[/tex]
Hence, the required ordered pairs are [tex](5+\sqrt{3}, 5-\sqrt{3} )[/tex] and [tex](5-\sqrt{3}, 5+\sqrt{3} )[/tex].
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Walter is conducting an experiment using a spinner with 4 equal sections. Which number of trials will lead to experimental outcomes that are most similar to his predicted outcomes? 4 25 40 90
HURRY ILL GIVE YOU 60 POINTS!!!!
Answer:
90
Step-by-step explanation:
I took the test and 90 gives u the most variability in your outcome so ur answer is more reliable.
Answer:
the person above me is right its 90
Step-by-step explanation:
i did the unit test
Help me pleaseeeeeee
I need help
Answer:
48
Step-by-step explanation:
In similar polygons, every side of one polygon is a certain number of times bigger than the corresponding side of the other polygon. This number is the scale factor. Since the perimeter of each polygon is the sum of the lengths of the sides of that polygon, the perimeters also have the same scale factor that the sides do.
For example, if a triangle has 3 sides measuring 5 cm each and a similar triangle has 3 sides measuring 10 cm each, you see that each side of the second triangle is 2 times the length of the corresponding side of the first triangle. The scale factor from the smaller triangle to the larger triangle is 2. Now look at the perimeters. Since 5 + 5 + 5 = 15 and 10 + 10 + 10 = 30, the perimeters are 15 cm and 30 cm, and again, the perimeter of the second triangle is the same 2 times bigger than the perimeter of the first triangle.
Now look at your problem.
The perimeter of the smaller flag to the right is 16.
We see a side on the larger flag is 15, but we don't see the same side length on the smaller flag, so 15 does not help us.
Now we see that a side of the smaller flag measures 4 and the corresponding side of the larger flag measures 12. We divide the larger side length by the corresponding smaller side length to find the scale factor.
12/4 = 3
The scale factor from the smaller flag to the larger flag is 3. The perimeters also have the same scale factor of 3.
perimeter = 3 * 16 = 48
Answer: 48
Answer:
48
Step-by-step explanation:
Similar polygons have their sides in proportion, and we call the proportion between pairs of corresponding sides on two similar polygons the scale factor between them. We want to find the perimeter of the larger flag given the smaller one, and comparing the side with length 12 on the larger one with the side of length 4 on the smaller, we get a scale factor of 12 / 4 = 3.
This tells us that all the lengths on the larger flag are 3 times longer than the corresponding lengths on the smaller flag. What happens to the perimeter when we scale all of the lengths? Well, if every side gets multiplied by three, the sum of those sides will naturally be multiplied by 3, too.
Our large flag has a perimeter 3 times bigger than the smaller one, then, and 3 × 16 = 48.
Determine whether the set of vectors is orthonormal. If the set is only orthogonal, normalize the vectors to produce an orthonormal set.Bold u 1 equals [Start 3 By 1 Matrix 1st Row 1st Column one third 2nd Row 1st Column one third 3rd Row 1st Column one third EndMatrix ]and Bold u 2 equals [Start 3 By 1 Matrix 1st Row 1st Column negative one half 2nd Row 1st Column 0 Subscript font size decreased by 6 Superscript font size decreased by 6 3rd Row 1st Column one half EndMatrix ]
Answer:
(i) See attached image file
(ii) Option A
Step-by-step explanation:
See attached image file
An urban planner is researching commute times in the San Francisco Bay Area to find out if commute times have increased. In which of the following situations could the urban planner use a hypothesis test for a population mean? Check all that apply. Group of answer choices The urban planner asks a simple random sample of 110 commuters in the San Francisco Bay Area if they believe their commute time has increased in the past year. The urban planner will compute the proportion of commuters who believe their commute time has increased in the past year. The urban planner collects travel times from a random sample of 125 commuters in the San Francisco Bay Area. A traffic study from last year claimed that the average commute time in the San Francisco Bay Area is 45 minutes. The urban planner will see if there is evidence the average commute time is greater than 45 minutes. The urban planner asks a random sample of 100 commuters in the San Francisco Bay Area to record travel times on a Tuesday morning. One year later, the urban planner asks the same 100 commuters to record travel times on a Tuesday morning. The urban planner will see if the difference in commute times shows an increase.
Answer:
Step-by-step explanation:
The urban planner collects travel times from a random sample of 125 commuters in the San Francisco Bay Area. A traffic Study from last year claimed that the average commute time in the San Francisco Bay Area is 45 min. The urban planner will see if there is evidence the average commute time is greater than 45 minutes
( Here in this case, Null hypothesis will be Η :μ = 45
And the Alternate Hypoyhesis will be H, :μ> 45 )
C. The urban planner asks a random Sample of 100 commuters in the San Francisco Bay Area to record travel times on a Tuesday morning. One year later, the urban planner asks the same 100 commuters to record travel times on a tuesday morning . The urban planner will see the difference in commute time shows an increase.
Here in this case the null hypothesis will be, H₀ : [tex]\mu _d[/tex] = 0
And the Alternate Hypothesis will be H, : [tex]\mu _d[/tex] <0 The commute time after 1 year is more
Answer:
Step-by-step explanation:
The required hypothesis test is that for a single population mean. It wouldn't involve population proportion or difference between two population means. The correct answer choice would be
A traffic study from last year claimed that the average commute time in the San Francisco Bay Area is 45 minutes. The urban planner will see if there is evidence the average commute time is greater than 45 minutes.
Dr. Gonzalez is considering joining the Garden Club. If he pays a $25 membership fee, he
can buy rosebushes from the club at a reduced price of $10 each. If he does not join the
club, he can buy rosebushes from a local nursery for $15 each. The graph below compares
the cost of buying rosebushes from the Garden Club and from the local nursery.
Answer:
In the Garden Club the cost will be a fixed fee of $25 and $10 for each rosebush, so if he buys X rosebushes, the total cost will be:
C1(X) = $25 + $10*X
While in the local nursery there is no initial cost, and each rosebush costs $15, so if he buys X rosebushes, the total cost will be:
C2(X) = $15*X
Now, let's find the value of X where C1 and C2 are equal, this is:
$25 + $10*X = $15*X
$25 = $15*X - $10*X = $5*X
X = 25/5 = 5
This means that if he buys 5 rosebushes, he will pay the same amount in both places.
If he buys less than 5 rosebushes, he will pay less in the local nursery (as it has a bigger slope, but no initial fee)
If he buys more than 5 rosebushes, he will pay less in the Garden club (because it has a smaller slope)
Which point represents the unit rate?
On a coordinate plane, point A is (0, 1), point B is (1, 0), point C is (1, 0.5), and point D is (2, 1).
Answer:
Hey it’s C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
(Will give brainliest) The figure is transformed as shown in the diagram. Describe the transformation.
A) dilation, then reflection
B) reflection, then rotation
C) rotation, then translation
D) translation, then reflection
9514 1404 393
Answer:
C) rotation, then translation
Step-by-step explanation:
Figure 2 is rotated 90° CCW about the origin from figure 1.
Figure 3 is translated 6 units to the right from figure 2.
The transformation is ...
rotation, then translation
a rental car cost $20 per day, and a room cost $50 per day, for how many days can a room and car be rented, so that the total cost does not exceed $350
Answer:
5
Step-by-step explanation:
The total cost per day is $20 +50 = $70. Then the number of days that expenditure can be made on a budget of $350 is ...
$350/($70/day) = 5 days
Answer:
Step-by-step explanation:
let number of days =x
(20+50)x≤350
70 x≤350
x≤350/70
or x≤5
He can rent both at the most 5 days.
When a radius intersects a chord of a circle at a right angle, what conclusion can be made?
The radius is bisected.
The chord is bisected.
The radius and the chord are congruent.
The radius is twice as long as the chord.
Answer:
The chord is bisected
Step-by-step explanation:
This problem seek our knowledge on the mensuration of flat shapes, a circle.The chord of a circle is a segment whose endpoints are on the circle. when a perpendicular bisector ( the radius) of any chord passes through the center of the chord at right angle to the chord, the chord is bisected into two. This is a way or could give us a good way to find the center of any circle.
kindly find attached a diagram for your reference
Answer:
B
Step-by-step explanation:
What is the relationship between the diameter and radius?
Answer:
A
Step-by-step explanation:
pls mark me brainliest
find the perimeter of a circle whose diameter is 7 cm
Find the perimeter of the circle is the same as finding the circumference of the circle.
Circumference Formula: C = 2πr
Divide the diameter by 2 to find the radius.
7 / 2 = 3.5
Solve using the given values.
C = 2(3.14)(3.5)
C = 2(10.99)
C = 21.98
Therefore, the circumference (perimeter) of the circle is 21.98cm²
Best of Luck!
Jorge is making six large salads. how many cherry tomatoes will he need
Answer:
As many as he thinks is enough
Step-by-step explanation:
1. There is no specific wag to answer this it has no answer choices or any type of math hint of how many cherries he wants.
The first line in the system of equations is graphed on the coordinate plane. Graph the second line to find the solution to the system.
2 x minus 3 y = negative 6. y = negative one-third x minus 4
Enjoli’s Graph
Answer:
(A) (-6,-2)
Step-by-step explanation:
Answer:
(-6, -2)
Step-by-step explanation:
week. After 5 weeks the account holds $170. Write an equation that represents the amount y
(in dollars) of money in the account after x
weeks.
Joesph and molly each have coin collections. Joesph starts with 15 coins in his collection and adds 25 coins each month. Molly starts with 25 coins in her collection and adds 25 coins to each month. If Joseph and molly continue to collect this way, how many coins will each person have after 10 months?
Answer:
Joseph- 265 coins
molly- 275 coins
For each of the situations in parts a through d below, state whether a Type I, a Type II, or neither error has been made. Explain briefly. a) A bank wants to know if the enrollment on their website is above 30% based on a small sample of customers. They test H_0 : p = 0.3 vs. H_A: p > 0.3 and reject the null hypothesis. Later they find out that actually 28% of all customers enrolled. Choose the correct answer below.
A. The bank made a Type II error. The actual value is close to 0.3 but they rejected the null hypothesis.
B. The bank made a Type II error. The actual value is not greater than 0.3 but they rejected the null hypothesis.
C. The bank made a Type I error The actual value is not greater than 0.3 but they rejected the null hypothesis.
D. The bank made a Type I error. The actual value is close to 0.3 but they rejected the null hypothesis.
E. The bank did not make an error. The actual value is not equal to 0.3 and they rejected the null hypothesis.
Answer:
I think it is e
Step-by-step explanation:
Hope this is correct and hope this helps
Answer quick please i will mark brainliest:
1. 5 3/4 + 2 11/12
2. 5 1/2 - 1 2/7
3. 5 1/2 - 2 11/12
4. 5 3/4 - 2 11/12
5. 3 1/3 + 4 1/12
6. 7/10 - 1/4
7. 11/18 + 3/9
8. 4 1/12 - 3 1/3
9. 13/15 - 2/5
10. 2 5/6 + 3 2/5
11. 11/18 - 1/6
Look at the attached picture
Hope it will help you....
Good luck on your assignment
2 cars departed the same place at the same
time. They traveled the same direction. One
traveled 50 mph for 4 hours. The other car
traveled 60 mph for 8 hours. How many miles
farther did the 2nd car travel?
help
The Columbian Exchange is the name given to the items shared between the New World and the Old World. Once European exploration began, items passed both ways. Which of the following explains the result this exchange had on many Native Americans living in North and South America?
A.
Native Americans began using tobacco.
B.
Native Americans died because of diseases.
C.
Native Americans gave livestock to Europe.
D.
Native Americans started growing corn.
Answer:
A
Step-by-step explanation:
Arionna claims that since there are 3 feet in a yard, there are 9 cubic feet in a cubic yard. Which statement about her claim is true?
a.)Arionna is correct because there are 3 feet across the length of a cubic yard and 3 feet across the depth of a cubic yard. 3 times 3 = 9
b.)Arionna is correct because there are 3 feet in a yard and there are 3 dimensions in a cubic yard: length, depth, and height. 3 times 3 = 9
c.)Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.
d.) Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3 ft Times 3 ft Times 3 ft. A prism with those dimensions will take 27 cubes to fill it if each cube is a unit cube of 1 ft.
Answer:
d.) Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3 ft times 3 ft times 3 ft. A prism with those dimensions will take 27 cubes to fill it, if each cube is a unit cube of 1 ft³.
Step-by-step explanation:
There are (3 ft)(3 ft) = 9 ft² in one square yard. To find the volume of a cubic yard, you need to multiply that by 3 ft again: (9 ft²)(3 ft) = 27 ft³.
_____
Additional comment
For many problems involving units, I like to keep the units with the numbers. That helps ensure the math is done correctly. In this problem, simply multiplying ft by ft gives ft^2, not ft^3, so you know right away that you haven't computed volume correctly.
Which graph shows a linear function
Answer:
Graph B
Step-by-step explanation:
Linear functions are straight lines.
Linear functions are straight lines. Graph B has a straight line which means it is a linear function.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
Linear functions are straight lines.
In the given option Graph A has the curve graph which can't be a linear function.
Graph B has a straight line which means it is a linear function.
Graph C the lines are not straight so it can't be a linear function.
Similarly, in Graph D, it can't be a linear function.
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REDUCE EACH FRACTION TO ITS LOWEST TERM
1) 56/72
2) 20/90
3) 8/64
4) 10/50
5) 48/54
6) 5/10
7) 15/20
8) 30/110
9) 7/49
10) 10/35
11) 16/20
12) 9/30
13) 12/40
14) 5/60
15) 6/15
16) 15/50
17) 3/12
18) 8/36
19) 80/90
20) 8/22
Look at the attached picture
Hope it will help you...
Good luck on your assignment
Answer:
This is so you can give the person above me brainly
Step-by-step explanation:
turn to passive voice the child chose the hat
Answer:
The hat was chosen was the child.
Step-by-step explanation:
PLEASE ANSWER WILL GIVE BRAINLIEST!!
Rewrite the expression in the form 5^n
(5^3)^2 =
Answer: 5^6
Step-by-step explanation:
Since the expression has parenthesis, it means to multiply. When you multiply the powers, you get it in the form 5^n.
Which of the following choices represents the expanded form of the number 38,072?
30,000 + 800 + 70 + 2
30,000 + 8,000 + 70 + 2
30,000 + 8,000 + 700 + 2
3,000 + 800 + 70 + 2
Answer:
The second one.
Step-by-step explanation:
The others don't add up to that number
Un lago de forma circular tiene una longitud de 157 metros. ¿Cual es la distancia del centro del lago a la orilla?
Answer:
25 meters
Step-by-step explanation:
in this case they give us the information about the lake and that length corresponds to the perimeter.
the perimeter of a circle has the following formula:
p = 2 * pi * r
then r equals:
r = p / pi * 2
replacing we have:
r = 157 / (2 * 3.14)
r = 25
which means that the radius of the lake is 25 meters
Which expression represents the length of the hypotenuse, c, of the triangle below?
C
b
a? - 62
va2 +62
a? + b2
a2
62
Answer:
Length of hypotenuse = √( a² + b²)
Step-by-step explanation:
The question is incomplete and unclear. From the question, it is clear we are to determine the hypotenuse of the triangle. Hence the triangle is a right angled triangle.
Find attached the diagram used in solving the question.
From the diagram,
a = opposite
b = adjacent
c = hypotenuse
To find the hypotenuse of a right angled triangle, we apply Pythagoras theorem.
Using Pythagoras theorem
Hypotenuse² = opposite ² + adjacent²
Insert the values of each, we have:
c² = a² + b²
Then we find the Square root both sides
c = √( a² + b²)
So we can insert the values of a and b if we are given.
For instance, if b = 6
c = √( a² + 6²)
Using the diagram,
Hypotenuse: c = √( a² + b²)
Answer:
Step-by-step explanation:
anyone know how to solve?