At the 0.05 significance level, the degree of freedom is 1. So, correct option is B.
To test the hypothesis that the proportion of wins is the same for teams wearing suits as for teams wearing jeans, we can use the chi-square test for independence. The null hypothesis is that the proportion of wins is the same for both groups, and the alternative hypothesis is that they are different.
Using the given data, we can calculate the expected frequencies under the assumption of equal proportions of wins for both groups. The expected frequency for each cell is given by (row total x column total) / grand total.
The calculated chi-square statistic is 2.667, and the degrees of freedom are (r-1)(c-1) = (2-1)(2-1) = 1.
Using a chi-square distribution table with 1 degree of freedom and a significance level of 0.05, the critical value is 3.84. Since the calculated chi-square value is less than the critical value, we fail to reject the null hypothesis.
Therefore, we can conclude that there is not enough evidence to suggest that the proportion of wins is different for teams wearing suits versus jeans and t-shirts at the 0.05 significance level.
The answer choice that corresponds to 1 degree of freedom is B
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Write an explicit formula for an, the n^th term of the sequence
2,−8,32,....
Answer:
36
Step-by-step explanation
6x6
Area/ Perimeter question. Any help? i have an assignment to complete.
Answer:
13 + 8 + 13 + (1/2)(8π) = 34 + 4π feet
= 46.57 feet
a circle has a diameter of 30 inches and an area of approximately 675 square inches.If the diameter of circle increa to 60 inches, what would be an approximation of the new area?
Answer:
If the diameter of the circle increases to 60 inches, the new area would be approximately 2700 square inches.
Vanessa runs 4 miles each week. Use the number line below to solve and represent the number of weeks it will take her to run 96 miles.
The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks
How to calculate the number of weeks used by Vanessa for race?The amount of distance that Vanessa covers for a week = 4 miles
The amount of weeks it will take for her to cover 96 moles would be = ?
That is;
1 week = 4 miles
X weeks = 96 miles
Make X the subject of formula;
X = 96× 1/4
= 24 weeks
Therefore Vanessa will be able to cover 96 miles in only 24 weeks.
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what is the maths formula for area
Answer:
Quick internet search:
Find the solution(s) of the quadratic equation x 2 squared + 2x - 15=0
Answer: -5, 3
Step-by-step explanation:
Equation:
x² + 2x -15 = 0 The equation is already set =0 so you will factor.
To factor, find 2 numbers that multiply to the last term (-15) but add up to the middle term (+2). Be careful with signs, signs matter
+5 and -3 multiply to -15 but add up to the +2 so these are your factored numbers
put it in factored form
(x+5)(x-3)=0 set each parenthesis =0 to solve for x
x+5 = 0 x-3=0
x= -5 and x=3
Find the probability that a point chosen at random would lie in the shaded area of the figure. Round to the nearest tenth of a percent.
Answer:
Area of shaded region:
12r^2 - (2(2r^2) + 2πr^2) =
12r^2 - 4r^2 - 2πr^2 =
(2r^2)(4 - π)
Probability of point chosen in shaded region:
(2r^2)(4 - π)/(12r^2) = (4 - π)/6 = .143 = 14.3%
According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Month
Average Maximum Monthly Temperature
Jan
48.1
Feb
50.9
Mar
62.4
Apr
67.0
May
76.5
Jun
83.9
Jul
86.8
Aug
88.1
Sep
79.2
Oct
69.9
Nov
59.5
Dec
49.6
Let x represent the months and y represent the average maximum monthly temperature.
Plot the data on a scatterplot. Choose the plot that best represents the data.
a.
On a coordinate plane, points are at (1, 48.1), (2, 50.9), (3, 62.4), (4, 67), (5, 76.5), (6, 83.9), (7, 86.8), (8, 88.1), (9, 79.2), (10, 69.9), (11, 59.5), (12, 49.6).
b.
On a coordinate plane, points are around (5, 85), (6, 90), (7, 80), (8, 70), (9, 60), (10, 50), (48, 1), (50, 3), (62, 4), (66, 4), (76, 5), (82, 8).
c.
On a coordinate plane, points are around (0, 49), (1, 52), (2, 62), (3, 68), (4, 78), (5, 85), (50, 12), (60, 10), (70, 10), (80, 9), (88, 8), (87, 9), (89, 9).
d.
On a coordinate plane, points are around (0, 48), (2, 52), (13, 50).
Please select the best answer from the choices provided
a) On a coordinate plane, points are at (1, 48.1), (2, 50.9), (3, 62.4), (4, 67), (5, 76.5), (6, 83.9), (7, 86.8), (8, 88.1), (9, 79.2), (10, 69.9), (11, 59.5), (12, 49.6) best represents the data.
This is because the data represents a set of paired values, with the months as the independent variable (x) and the average maximum monthly temperature as the dependent variable (y). A scatter plot is the appropriate graph for displaying this type of data.
Option a shows the correct placement of the data points on a scatter plot, with the x-axis representing the months and the y-axis representing the average maximum monthly temperature. The points are clearly organized in a sequence from January to December, with an upward trend in temperature from the winter months to the summer months, followed by a gradual decrease in temperature in the fall and winter months.
Option b has the correct range of temperatures, but the points are not arranged in a logical sequence and are scattered randomly across the graph. Option c also has a similar issue with random placement of points and does not reflect the actual values in the data set. Option d only has three points and does not represent the complete data set.
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Analyze the diagram below and complete the instructions that follow.
8
45°
Find the value of x.
A. 4
B. 8√√2
2
C. 4√2
DG
45°
Save and Exit
Next
Subr
Answer:
Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.
Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:
x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)
So the value of x is option B: 8√2 / 2 or simplified, 4√2.
Help! I dont know the answe and Ive been stuck for a minute..
Dm on ig: 1.rockkyy I have more questions!
Answer:
a³ = -357911/5832.
Step-by-step explanation:
We can use the given equation to find the value of n, and then use it to find the value of a³.
a¹ = 13 and a = ⁿ⁻¹ - 4
Substituting the value of a in terms of n in the first equation, we get:
ⁿ⁻¹ - 4 = 13
ⁿ⁻¹ = 13 + 4
ⁿ⁻¹ = 17
ⁿ = 18
Now, substituting the value of n in the equation a = ⁿ⁻¹ - 4, we get:
a = 18⁻¹ - 4
a = 1/18 - 4
a = -71/18
Finally, to find a³, we can cube the value of a:
a³ = (-71/18)³
a³ = -357911/5832
Therefore, a³ = -357911/5832.
. In ΔABC, m < B = 14°, m < C = 42° and a = 34. Find the length of b to the nearest tenth.
i Got u Bro!
Obtuse scalene triangle.
Sides: a = 34 b = 9.922 c = 27.442
Area: T = 112.86
Perimeter: p = 71.364
Semiperimeter: s = 35.682
Angle ∠ A = α = 124° = 2.164 rad
Angle ∠ B = β = 14° = 0.244 rad
Angle ∠ C = γ = 42° = 0.733 rad
Height: ha = 6.639
Height: hb = 22.75
Height: hc = 8.225
Median: ma = 11.694
Median: mb = 30.495
Median: mc = 20.951
Inradius: r = 3.163
Circumradius: R = 20.506
Vertex coordinates: A[27.442; 0] B[0; 0] C[32.99; 8.225]
Centroid: CG[20.144; 2.742]
Coordinates of the circumscribed circle: U[13.721; 15.239]
Coordinates of the inscribed circle: I[25.76; 3.163]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 56° = 2.164 rad
∠ B' = β' = 166° = 0.244 rad
∠ C' = γ' = 138° = 0.733 rad
an experienced bungee jumper leaps from a tall bridge and falls towards the water. The bridge is 241 feet above the water and the bungee cord is 149 feet long unstretched. When will the cord begin to strech? The gravity formula is as follows: h(t)= -16t + [tex]v_{0}[/tex]t + [tex]h_{0}[/tex]
The cord will begin to stretch after approximately 1.46 seconds.
How to solve for when the stretch startsh(t) = -16t^2 + V0t + h0
149 = h0 - h(t)
Substituting h0 = 241 and h(t) = -16t^2 + V0t into this equation, we get:
149 = 241 - (-16t^2 + V0t)
we get:
16t^2 - V0t - 92 = 0
4(16)(-92) / (2(16)
t = sqrt(1856) / 32
Using a calculator, we get:
t ≈ 1.46 seconds
Therefore, the cord will begin to stretch after approximately 1.46 seconds.
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What's this answer?
2 5/6 • -3 2/4 =
Answer:
-9 11/12
Step-by-step explanation:
You want the product of 2 5/6 and -3 2/4.
ProductThe product of mixed numbers is often most easily computed by rewriting them to improper fractions.
(2 5/6)(-3 2/4) = (17/6)(-7/2) = -(17·7)/(6·2) = -119/12
= -(108/12 +11/12)
= -9 11/12
__
Additional comment
Your calculator can probably help you with this.
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Today, you want to sell a R1 000 par value zero coupon bond you own. The bond matures in five years. How much will you receive for your bond, if the market yield to maturity is currently 5,33%? 10
With a market yield to maturity of 5.33%, the amount that would be received for a R 1,000 par value zero coupon bond that matures in five years, but sold today will be R747.26.
Price calculation for coupon bondsTo calculate the price you will receive for your zero coupon bond, we can use the formula:
P = F / (1 + r)^n
where:
P is the priceF is the par value (face value) of the bondr is the yield to maturity as a decimaln is the number of years to maturity.In this case, the par value is R1,000, the yield to maturity is 5.33%, or 0.0533 as a decimal, and the number of years to maturity is 5.
P = 1000 / (1 + 0.0533)^5P ≈ R747.26Therefore, you can expect to receive approximately R747.26 for your R1,000 par value zero coupon bond when the market yield to maturity is 5.33%.
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freddy drew a plan for a rectangular piece of material that he will use for a blanket. the three of the vertices are (-2, -3), (-2.3,1.6), (4.6,1.6). what are the coordinates of the fourth vortex?
The coordinates of the fourth vortex of the rectangular piece of material drawn by Freddy would be (4. 6, - 3 ).
How to find the fourth vortex ?Rectangles are quadrilaterals which have two sets of parallel lines. This means that two sets of sides are equal which are the opposite ones. This means that when plotted on a coordinate plane, of the four points, the x - values should repeat twice and the y - values should repeat twice as well.
They would do so by alternating with each other. This means that in a rectangle with (-2, -3), (- 2 . 3, 1 . 6), ( 4 . 6 , 1. 6 ), the fourth vertex would be the two x and y values that are yet to repeat which would be:
( 4. 6, - 3 ).
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Jasmine sold 5 cherry pies and 12 Lemmon mer
Answer:
6
Step-by-step explanation:
this is if you meant: Jasmine sold 5 cherry pies and 12 lemonade how much more did Jasmine sell of lemonade than cherry pies
Geometry I need help
Figure O is reflected followed by a translation of 4 units in the left direction.
Given that:
Figure O and Figure P are shown on the graph.
The translation does not change the shape and size of the geometry. But changes the location.
Figure O is translated leftward by 4 units.
The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersect the line of reflection at a right angle.
The translated figure O is reflected across the x-axis.
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Derek made a quilt for his cousin's doll. The quilt had a 7 × 7 array of different color square patches. If each patch is 1 _ in long, what is the area of the whole quilt? *
2401/16 square inches
Step-by-step explanation:
Given:
The quilt made by Spencer had a 7×7 array of different color square patches such that each patch is in long.
To find: the area of the whole quilt
Solution:
Side of each quilt =
Quilt is in the form of a square such that area of square is given by
Therefore, area of quilt = square inches
Find the probability that a point chosen at random would lie in the shaded area of the figure. Round to the nearest tenth of a percent.
with the steps and explanation
Answer:
Step-by-step explanation:
The required probability is simply the (shaded area)/(area of the whole box)
The area of the whole box would be:
6r*2r = 12 r^2
The shaded area is tough to calculate, but you can get the
white area instead.
The left hole (white area) consists of a semi-circle and a rectangle.
The center hole is a circle.
The right hole (white area) consists of a semi-circle and a rectangle.
The 2 semi-circles in the left and right hole combine to be a circle.
The 2 rectangles in the left and right hole combine to be a square.
The total area of holes are:
(area of circle)*2 + (area of square) ### 2 circles 1 square in total
=r^2*pi*2 + (2r)^2
=r^2*pi*2 +4*r^2
then we can get the shaded area by:
(area of the whole box) - (The total area of holes)
= 12 r^2 - (r^2*pi*2 +4*r^2)
=8*r^2 - r^2*pi*2
Finally:
(shaded area)/(area of the whole box)
=(8*r^2 - r^2*pi*2)/(12 r^2)
=(8-pi*2)/(12)
=0.143067891
=14.3% (corr. to 3 sig. fig.)
One kind of transformation we'll explore is a translation.
The thin gray parabola is `y=x^{2}`.
Select the graph that best shows `y=x^{2}` translated `2` units down.
The graph that best shows `y=x^2` translated `2` units down is graph d
Selecting the graph that best shows `y=x^2` translated `2` units down.From the question, we have the following parameters that can be used in our computation:
y = x^2
When the function y=x^2` is translated `2` units down, we do the following
We subtract 2 from the function equation
So, we have
y = x^2 - 2
This means that the translated function is 2 units below the function y = x^2
From the list of options, this is represented with graph (d)
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What is the value of x?
X
30°
24
Express your answer in radical form.
Enter your answer in the box.
Answer:
x = 12
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{24}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 24 ( divide both sides by 2 )
x = 12
Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed.
The 99% confidence interval for the population proportion p is (0.776, 0.824).
To find the 99% confidence interval for a proportion, we can use the formula:
CI = p^ ± z*(SE)
where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.
For a 99% confidence interval, the critical value z is 2.576.
Substituting the given values into the formula, we have:
CI = 0.80 ± 2.576*(0.03/√200)
Simplifying this expression, we have:
CI = 0.80 ± 0.024
This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.
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Given a triangle with coordinates X(2, -1), Y(-5, -4), and Z (-2, 3), what type of triangle is it?
Answer:
Step-by-step explanation:
Distance between 2Points XY=Distance between 2 points YZ=7.615
Distance between 2 points ZX=5.6568
Hence it is an isosceles triangle
What is the range of this function?
Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.
A 2-column table with 4 rows. The first column is labeled x with entries 0, 0.5, 1, 1.5. The second column is labeled y with entries 40, 39.25, 38.5, 37.75.
If the Raj’s bathtub is draining at rate of 1.5 gallons of water per-minute, then the range will be (c) all real numbers such that 0 ≤ y ≤ 40.
The "Range" of function is defined as the set of all possible "output-values'.
The amount of water remaining in the bathtub is decreasing as it drains, so the range of the function is bounded below by 0 (because we cannot have negative water in the bathtub) and above by 40 (the initial amount of water in the bathtub).
Looking at the given values of y, we can see that the value of "y" lies between 0 and 40.
Therefore, the correct option is (c).
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The given question is incomplete, the complete question is
Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.
x y
0 40
0.5 39.25
1 38.5
1.5 37.75
What is the range of this function?
(a) all real numbers such that y ≤ 40
(b) all real numbers such that y ≥ 0
(c) all real numbers such that 0 ≤ y ≤ 40
(d) all real numbers such that 37.75 ≤ y ≤ 40.
What is a name for the marked angle?
A software developer's current annual gross wage is $93,400. For retirement, the developer wants to have enough saved to live off 80% of the current annual gross wage and draw 4% the
first year. What is the total amount the developer will need in retirement savings to meet their retirement income goal?
O$1,868,000
O$1,688,000
O$1,088,600
O $1,068,800
Answer:
c
Step-by-step explanation:
1.6 Solve the following equation using
7x-8y+5z=5
-4x+5y-3z=-3
x-y+z = 0
a. Crammer's rule
b. Inverse Method
[10]
[10]
Answer:
Step-by-step explanation:
a. Using Cramer's Rule:The system of equations can be written in matrix form as:Copy code| 7 -8 5 | | x | | 5 | | -4 5 -3 | x | y | = |-3 | | 1 -1 1 | | z | | 0 |The determinant of the coefficients matrix is:scssCopy code| 7 -8 5 | | -4 5 -3 | | 1 -1 1 | = 7(5)(1) + (-8)(-3)(1) + 5(-4)(-1) - 1(-3)(7) - 1(5)(-8) - (-1)(-3)(5) = 70To find x, we replace the x-coefficients with the constants and solve for x:scssCopy code| 5 -8 5 | | -3 5 -3 | | 0 -1 1 | x = | 7 -8 5 | | -4 5 -3 | | 1 -1 1 | = (5(5)(1) + (-8)(-3)(1) + 5(-3)(-1) - 1(-3)(5) - 1(5)(-8) - 0(-1)(-4))/70 = 9/14To find y, we replace the y-coefficients with the constants and solve for y:scssCopy code| 7 5 5 | | -4 -3 -3 | | 1 0 1 | y = | 7 -8 5 | | -4 5 -3 | | 1 -1 1 | = (7(-3)(1) + (-8)(-3)(1) + 5(0)(-1) - 1(5)(-3) - 0(-8)(-4) - 1(-1)(-4))/70 = -1/14To find z, we replace the z-coefficients with the constants and solve for z:scssCopy code| 7 -8 5 | | -4 5 -3 | | 5 -1 0 | z = | 7 -8 5 | | -4 5 -3 | | 1 -1 1 | = (7(5)(0) + (-8)(-3)(1) + 5(-1)(-1) - (-1)(5)(5) - 1(5)(-8) - 0(-1)(-4))/70 = -12/35Therefore, the solution to the system of equations is x = 9/14, y = -1/14, z = -12/35.b. Using Inverse Method:The system of equations can be written in matrix form as:Copy code| 7 -8 5 | | x | | 5 | | -4 5 -3 | x | y | = |-3 | | 1 -1 1 | | z | | 0 |The coefficients matrix is:Copy code| 7 -8 5 | | -4 5 -3 | | 1 -1 1
Laura is 3 ft tall how tall is Laura in inches
In which quadrant would an angle x lie if sinx is negative and tanx is negative?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Step-by-step explanation:
If sin is neg AND tan is neg then cos is positive
(because tan = sin/cos)
this occurs in Q IV
ABC~ DEF. What sequence of transformations will move ABC onto DEF?
A. A dilation by a scale factor of 2, centered at the origin, followed by a reflection over the y-axis.
B. A dilation by a scale factor of 1/2, centered at the origin, followed by the translation (x,y)-> (x+7,y)
C. The translation (x,y)->(x+7,y), followed by a dilation by a scale factor of 2 centered at the origin.
D. A dilation by a scale factor of 2, centered at the origin, followed by the translation (x,y)-> (x+7,y)
Note that the sequence of transformations that will move ABC onto DEF is; "The translation (x,y)->(x+7,y), followed by a dilation by a scale factor of 2 centered at the origin." *Option C)
What is transformation?A transformation is a mathematical function that repositions points in one-, two-, three-, or any other n-dimensional space.
A dilation is a function f from a metric space M into itself that fulfills the identity d=rd for all locations x, y in M, where d is the distance between x and y and r is some positive real integer. Such a dilatation is a resemblance of space in Euclidean space.
Note that translation takes B(0,0) to B'(7, 0),
Takes A(0, 4) to A'(7, 0) and C (3, 0) to C' (10, 0)
when you multiply the new points by the scale factor of 2, you'd get the new figure when the coordinates are graphed.
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Answer:
D. Dilation by 2, translation right by 7.
Step-by-step explanation:
You want to know the sequence of transformations that maps ∆ABC to ∆DEF.
Scale factorSegment DE is 8 units long, and located at x=7. Segment AB is 4 units long and located at x=0.
The scale factor is the ratio of segment lengths:
DE/AB = 8/4 = 2
Triangle DEF is dilated by a factor of 2 (eliminates B).
TranslationTriangle DEF is oriented the same way as triangle ABC, so there is no reflection involved (eliminates A). As we noted, segment DE is 7 units to the right of segment AB, so a translation of x ⇒ x+7 is involved.
SequenceThe translation must occur after the dilation about the origin (eliminates C). If it were to occur first, the translation would be multiplied by the scale factor, so that DE would end up at x=14.
The required sequence of transformations is ...
D. A dilation by a scale factor of 2, centered at the origin, followed by the translation (x, y) ⇒ (x+7, y).
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