Answer:
C and D both represent angle relationships in the figure.
C represents the relationship between the angles labeled x, y, and z. We know that the sum of the angles in a triangle is 180 degrees, so we can set 6x+14 (angle x), 33 (angle y), and 180-(7x-9) (angle z) equal to 180 and solve for x.
D represents the relationship between the angles labeled w, x, y, and z. We know that the sum of the angles in a quadrilateral is 360 degrees, so we can set 33+(5x-10)+(7x-9)+w equal to 360 and solve for x.
Rewrite 48 - 28 using the Distributive Property and the GCF of the numbers.
Rewriting 48 - 28 using the Distributive Property and the GCF of the numbers, you get 4(5) = 20.
To rewrite 48 - 28 using the Distributive Property and the GCF of the numbers, follow these steps:
Step:1. First, find the GCF (Greatest Common Factor) of 48 and 28.
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 28 are: 1, 2, 4, 7, 14, 28
The GCF of 48 and 28 is 4.
Step:2. Now, use the Distributive Property to factor out the GCF from both numbers.
48 - 28 = 4(12) - 4(7)
Step:3. Distribute the GCF to both terms in parentheses.
48 - 28 = 4(12 - 7)
Step:4. Finally, simplify the expression inside the parentheses.
48 - 28 = 4(5)
So, rewriting 48 - 28 using the Distributive Property and the GCF of the numbers, you get 4(5) = 20.
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The slope of the line below is
Answer: zero
Step-by-step explanation:
slope is "rise over run", and there is no ("0") "rise" as the y-value is not increasing; as 0 divided by anything is still 0, the slope is zero.
A watch has a circular surface on a background that is a regular octagon. Find the area of the octagon. Then find the area of the silver border around the circular face. Round your answers to the nearest tenth.
The area of the silver border around the circular face is 1.63 square centimeter.
Given that, radius of circular surface is 1 cm and the length of the apothem is 1+0.2=0.2 cm.
Central angle for octagon = 360°/8
= 45°
θ= 45°/2
= 22.5°
The area of the regular octagon = na²×tanθ
= 8×1.2²×tan22.5°
= 4.77 square centimeter
Here, area of a circle = πr²
= 3.14×1²
= 3.14 square centimeter
Area of border = 4.77- 3.14
= 1.63 square centimeter
Therefore, the area of the silver border around the circular face is 1.63 square centimeter.
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help me please im not sure how to do this problem
Answer:
If a tangent segment and a secant segment intersect outside a circle, then the square of the measure of the tangent segment equals the product of the measures of the secant segment and its external portion.
42^2 = (18 + x)(18)
1,764 = 18(x + 18)
x + 18 = 98
x = 80
So the diameter of the reservoir is 80 meters.
The diameter of the reservoir shown above can be calculated based on the intersecting secant-tangent theorem as: 80 meters.
What is a Diameter?A diameter is a straight line segment that crosses the center of a circle thereby connecting two points on its circumference and it is twice the length of the radius of a circle.
To find the diameter (x), apply the intersecting secant-tangent theorem which states that:
AB² = AC(x + CA)
Substitute:
42² = 18(x + 18)
1,764 = 18x + 324
1,764 - 324 = 18x
1,440 = 18x
1,440/18 = x
x = 80 meters.
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Drag and drop the answer into the box to identify each function as linear, exponential, or neither.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
x 2 3 4
f(x) 5.5 7 8.5
x 0 3 6
f(x) 1 8 64
The exponential equation is solved and the function is y = 2ˣ
Given data ,
Let the x values be represented as x = { 0 , 3 , 6 }
Let the y values be represented as y = { 1 , 8 , 64 }
So , the exponential equation is given as
y = 2ˣ
when x = 0
y = 2⁰
y = 1
when x = 3
y = 2³ = 8
when x = 6
y = 2⁶ = 64
Hence , the exponential equation is y = 2ˣ
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One jelly bean is drawn at random from a jar containing orange and black jelly beans. If there were 2 more black jelly beans in the jar, the probability of drawing a black jelly bean would be 1/3. If there were 2 less black jelly beans in the jar, the probability of drawing a black one would be ¼. How many orange jelly beans are actually in the jar?
There are 2 orange jelly beans in the jar.
What is Probability?Probability is a branch of mathematics that measures the likelihood of a specific event occurring. It is used to quantify the chance of something happening and to assess the risk associated with certain decisions or actions. Probability is the mathematical way of expressing the likelihood of certain outcomes or events occurring. It is used to predict the likelihood of success or failure in a wide range of situations.
To answer this question, we must use the given information to construct a mathematical equation. Let x represent the number of orange jelly beans in the jar. Since there are a total of 3 black jelly beans in the jar when the probability of drawing a black jelly bean is 1/3, the total number of jelly beans must be 3 times the number of orange jelly beans, or 3x. Similarly, when the probability of drawing a black jelly bean is ¼, the total number of jelly beans must be 4 times the number of orange jelly beans, or 4x.
Now, we can set up the equation 3x = 4x – 2, which can be simplified to x = 2. Therefore, there are 2 orange jelly beans in the jar.
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Which value of x is in the domain of f(x)= squared root x - 7?
Answer:
The domain of the function are values of x that respect the following condition: x[tex]\geq[/tex]7 (i think so lmk if is wrong)
Step-by-step explanation:
Which statement best explains the law of demand?
The quantity demanded by consumers increases as prices rise, then decreases as prices fall.
The quantity demanded by consumers decreases as prices rise, then increases as prices fall.
The quantity demanded by producers increases as prices rise, then decreases as prices fall.
The quantity demanded by producers decreases as prices rise, then increases as prices fall.
The statement that best explains the law of demand is:
"The quantity demanded by consumers decreases as prices rise, then increases as prices fall."
According to the law of demand, there is an inverse relationship between a good or service's price and the amount of it that customers are willing and able to buy. A good or service's quantity required drops as its price rises and an increase in quantity is seen as the price of the good or service falls. A fundamental idea in economics, this inverse relationship is predicated on the idea that consumers act rationally and aim to maximize their utility or satisfaction from consumption.
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Answer:
b.
Explanation:
please help me, thanks
1. The value of
x = -8
y = 100
z = 80
2. x = 5
y = 135°
What are angles on parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
x+ 88 = 180-(108+x)
x + 88 = 180-108 -x
2x = 180-88-108
2x = -16
x = -16/2
x = -8
y = 108+(-8)
= 108-8 = 100
z = x+88
= -8+88
= 88-8 = 80
2. 26x+5 = (27x)
26x-27x = -5
-x = -5
x = 5
y = 27 × 5
= 135°
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Convert 4188. 625 in base 10 to base 16
The hexadecimal representation of the decimal number 4188.625 is 105C.
Let's apply this process to the decimal number 4188.625.
First, we divide 4188 by 16, which gives us a quotient of 261 and a remainder of 12. The remainder of 12 corresponds to the hexadecimal digit C (since 12 is equal to C in hexadecimal).
Next, we divide 261 by 16, which gives us a quotient of 16 and a remainder of 5. The remainder of 5 corresponds to the hexadecimal digit 5.
We then divide 16 by 16, which gives us a quotient of 1 and a remainder of 0. The remainder of 0 corresponds to the hexadecimal digit 0.
Finally, we divide 1 by 16, which gives us a quotient of 0 and a remainder of 1. The remainder of 1 corresponds to the hexadecimal digit 1.
Hence resulting base 16 values is 105C.
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How many cup servings are in 8 cups of cashews?
1/2 serving
2 servings
32 servings
1/32 serving
The solution is, 32 of 1/4 cup servings are in 8 cups of cashews.
let,
x of 1/4 cup servings are in 8 cups of cashews.
Divide 8 with 1/4
i.e.
(8)/(1/4)
now, we have,
Flip the second fraction, and change the division into multiplication, then solve
we get,
(8)/(1/4)
= 8 x 4
= 32
so, x = 32
32 is the answer
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Find the tangents of the acute angles in the right triangle. Write each answer as a fraction.
The tangents of the acute angles in the right triangle are tan(A) = 7√2/8 and tan(B) = 4/7√2
Find the tangents of the acute angles in the right triangle.From the question, we have the following parameters that can be used in our computation:
Leg 1 = 7
Leg 2 = 4√2
Hypotenuse = 9
The acute angles in the triangle are B and A
The trigonometric ratio for tan A is represnted as
tan(A) = Opposite/Adjacent
Substitute the known values in the above equation, so, we have the following representation
tan(A) = 7/4√2
So, we have
tan(A) = 7√2/8
For the other angle, we have
tan(B) = 4/7√2
Hence, the solution is tan(B) = 4/7√2
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Aman da
Name:
6. Find a15
a. 2, 4, 8, 16...
Swanson
b. a₁ = 2,012; r =
Test 7
7. Write a function that represents the situation. Find the balance in the account after the given time period.
a) $3,400 deposit that earns 4% annual interest compounded quarterly; 6 years
200
3,400
4%
b) $2,059 deposit that earns 3.2% annual interest compounded monthly; 8 years
Based on the information, a15 in this progression is 32,768.
The balance existing in this account would be $4,310.67.
Determining the Value of a15:a. It should be noted that to ascertain the value of a15 within this sequence (2, 4, 8, 16...), we can use the formula: a15 = a1 * r^(n-1) where a1 is the initial term, r being the constant ratio, and n being the particular element to calculate. When these values are inputted, it follows that a15 = 2 * 2^14, equalling 32,768 as the result. Thus, a15 in this progression is 32,768.
Calculating Balance Based on Compound Interest:
From the problem given with P = $3,400, r = 4%, n = 4 (frequency of quarterly compounding), and t = 6, by substitution, A = 3400(1 + 0.04/4)^(4*6) then becomes A = 3400(1.01)^24 equaling A = 3400(1.268242) resolved to A = $4,310.67. Ultimately, after six years have elapsed, the balance existing in this account would be $4,310.67.
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given sin(A)=-4/5 and cos(B)=1/3 with A and B both in the interval [3pi/2,2pi) find sin (A-B)
The value of the sine of the angle (A - B) will be 0.309.
Given that:
sin A = - 4/5
cos B = 1/3
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of A is calculated as,
sin A = - 4/5
A = 307°
The value of B is calculated as,
cos B = 1/3
B = 289°
The value of sin (A- B) is calculated as,
sin (A- B) = sin(307° - 289°) = sin 18°
sin (A- B) = sin 18°
sin (A- B) = 0.309
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you can ignore my answers I will mark brinailest
a. The congruence statement made from the figure is triangle PQR and triangle SRQ is congruent by SSA congruence theorem
b. The congruence criteria used is SSA congruence theorem
C. the statement is completed as Δ RSQ ≅ Δ RPQ
d. The corresponding angles and sides are equal
What is SSA congruence theoremSSA is a triangle congruence rule, but it isn't constantly sufficient to prove that two triangles are congruent.
SSA states that if pairs of corresponding aspects of two triangles are identical in period, and the angles contrary one of the pairs of sides are identical in both triangles, then the triangles are congruent.
The sides used for the theorem according to the figure are
Side: PR ≅ QS given
Side: QR ≅ QR reflexive property
Angle: ∠ Q ≅ ∠ R
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the response of recent graduates with education majors to a survey about their salaries: underpaid, paid appropriately, overpaid. would you be more interested in looking at the mean, median, or mode? state your reasoning.
It would be more interesting to look at median instead of mean or mode because it also provide information on central tendency of responses.
The response options 'underpaid', 'paid appropriately', and 'overpaid' are ordinal data.
Which means they have a natural order but no fixed numerical value.
As such it cannot meaningfully calculate a mean which requires numerical values for these responses.
The mode, which is the most common response may be of interest in some cases but it has limitations.
There may not be a clear mode since the responses are subjective and distributed across three categories.
Additionally, the mode does not capture the variability or spread of the responses.
The median however, is a useful measure of central tendency for ordinal data.
It represents the middle value when the responses are ranked in order of magnitude.
For example, if we have the following responses from 10 graduates,
underpaid, underpaid, paid appropriately, paid appropriately, paid appropriately, overpaid, overpaid, overpaid, overpaid, overpaid
The median would be 'paid appropriately' since it is the middle response when ranked in order of magnitude.
Looking at the median salary category would give us a sense of the typical response .
The graduates in terms of whether they feel their salary is appropriate or not.
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Rob just installed 8 water sprinklers in his front yard. Each one rotates 360 degrees while spraying out water reaching out 13 feet from the sprinkler.
a) How much area does each sprinkler cover?
b) How much area is covered by all 8 sprinklers combined?
Answer:
We can use the following formulas to solve the problem:
The area of a circle is given by the formula A = πr^2, where r is the radius of the circle.
The area of a sector of a circle is given by the formula A = (θ/360)πr^2, where θ is the central angle of the sector in degrees.
a) Each sprinkler rotates 360 degrees, so it covers a full circle with a radius of 13 feet. Therefore, the area covered by each sprinkler is:
A = πr^2 = π(13 ft)^2 = 169π sq ft ≈ 530 sq ft (rounded to the nearest whole number)
b) Since there are 8 sprinklers, the total area covered by all the sprinklers is 8 times the area covered by one sprinkler:
Total area = 8 x 530 sq ft = 4,240 sq ft
Therefore, all 8 sprinklers combined cover an area of 4,240 square feet.
Step-by-step explanation:
Step 1a) Each sprinkler covers an area of approximately 530 square feet (pi times the square of the radius, where radius is half of the distance reached by the sprinkler).
b) All 8 sprinklers combined cover an area of approximately 4,240 square feet (530 square feet times 8).
Step 2
To find the area covered by each sprinkler,
we need to calculate the area of the circle formed by the water spray. The radius of the circle is the distance reached by the sprinkler, which is 13 feet. So, the area covered by each sprinkler is π(13)^2 square feet, which is approximately equal to 530.93 square feet.
Since there are 8 sprinklers, the total area covered by all of them is simply 8 times the area covered by each sprinkler. Therefore, the total area covered by all 8 sprinklers combined is 8 x 530.93 square feet, which is equal to 4,247.44 square feet.
Step 3To answer part A of the problem, we need to first calculate the area covered by each sprinkler. Since each sprinkler covers a circular area with a radius of 13 feet, we can use the formula for the area of a circle (πr^2) to find the area covered by each sprinkler, which is approximately 530.93 square feet. For part B, we simply need to multiply the area covered by each sprinkler by the number of sprinklers, giving us a total coverage area of about 4,247.43 square feet for all 8 sprinklers.
One box is 3 1/4 feet tall,another is 2 5/8 feet tall. What is the height of the tower if one box is placed on top of the other.
A fraction is a way to describe a part of a whole. The height of the stack is 6.38 ft.
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,
[tex]2 \ \dfrac{1}{2}[/tex]
[tex]= \dfrac{(2\times2 + 1)}{2}[/tex]
[tex]= \dfrac{5}{2}[/tex]
[tex]= 2.5[/tex]
Given that one box that is 3 1/4 feet tall and another box that is 2 5/8 feet tall. Now, the height of the stack will be,
Height of the stack = Height of first box + Height of the second Box
[tex]= 3 \ \dfrac{1}{4} \ \text{ft} + 2 \ \dfrac{5}{8} \ \text{ft}[/tex]
[tex]= \huge \text[\dfrac{(3\times4 + 3)}{4}\huge \text] + 2 \ \dfrac{5}{8}[/tex]
[tex]= \huge \text(\dfrac{15}{4}\huge \text) + 2 \ \dfrac{5}{8}[/tex]
[tex]= 3.75 + 2.63[/tex]
[tex]= 6.38 \ \text{ft}[/tex]
Hence, the height of the stack is 6.38 ft.
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NEED HELP PLEASE EMERGENCY
y = -1x - 6
Slope (m) = 1-
The horsepower H(s) required for a racecar to overcome wind resistance is given by the function H(s) = 0. 003s^2 + 0. 007s - 0. 027 where s is the speed of the car
The average rate of change in horsepower per unit speed when race car increases its speed from 80 mph to 100 mph is option B. 0.61.
Function H(s) = 0. 003s² + 0. 007s - 0. 027
H(s) is the horsepower.
The average rate of change in horsepower per unit speed is ,
Slope of line that passes through two points on graph of the function H(s) corresponding to speeds of 80 mph and 100 mph.
The horsepower at 80 mph is,
H(80) = 0.003(80)² + 0.07(80) - 0.027
= 24.773
And the horsepower at 100 mph is,
H(100) = 0.003(100)² + 0.07(100) - 0.027
= 36.973
So, the change in horsepower over the interval of speeds from 80 mph to 100 mph is,
ΔH = H(100) - H(80)
= 36.973 - 24.773
= 12.2
The change in speed over the same interval is equal to,
Δs = 100 - 80
= 20
The average rate of change in horsepower per unit speed over this interval is equal to
ΔH/Δs = 12.2/20
= 0.61
Therefore, the average rate of change in horsepower per unit speed is equal to option B. 0.61.
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The above question is incomplete, the complete question is:
The horsepower, H(s), required for a racecar to overcome wind resistance is given by the function: H(s) = 0.003s²+0.07s-0.027, where (s) is the speed of the car in miles per hours. What is the average rate of change in horsepower per unit speed if the race car increases in speed from 80 mph to 100 mph?
A 1.64 B. 0.61 C. 12.2 D. 20.0
Describe how h(x) = -f(x) transforms the graph of the parent function f(x) = x².
Solve the triangle ABC, if the triangle exists.
B=34°42'
a = 38.5
b= 30.9
Select the correct choice below and fill in the answer boxes within the choice.
A. There are 2 possible solutions for the triangle.
The measurements for the solution with the longer side c are as follows.
m
m/c='
The length of side c=
(Simplify your answer. Round to the nearest
degree as needed. Round to the nearest minute
as needed.)
(Round to the nearest tenth
as needed.)
The measurements for the solution with the shorter
mZA=
0
mZC=
(Simplify your answer. Round to the nearest
degree as needed. Round to the nearest minute
as needed.)
side c are as follows.
The length of side c=
(Round to the nearest tenth
as needed.)
The length of the sides of the triangle and the angles of the triangle obtained using the law of sines, indicates that the correct option is the option B.;
B. There is only 1 possible solution for the triangle.
The measurement for the remaining angles A and C and the side c are as follows;
m∠A = 45°11', m∠C = 100°12', The length of the side c ≈ 53.4
What is the law of sines?The law of sines states that the ratio of the sine of an angle to the length of the facing side is equivalent to the corresponding ratio of the other two angles and sides of a triangle.
The dimensions of the triangle are; B = 34°42', a = 38.5, and b = 30.9
Whereby two sides of the triangle and the non included angle are known, the triangle is an example of a SSA triangle and the triangle may have more than one solution or no solution.
The sine rule, indicates;
30.9/(sin(42°42') = 38.5/(sin(A))
(sin(A)) = 38.5 × (sin(42°42')/30.9
m∠A = arcsin(38.5 × (sin(42°42')/30.9) ≈ 45.18° ≈ 45°11'
m∠C = 180° - 34.7 - 45.18 ≈ 100.12° = 100° 7.2'
The length of the side c obtained using cosine rule is therefore;
c² = 38.5² + 30.9² - 2 × 38.5 × 30.9 × cos(100.12°)
c = √(38.5² + 30.9² - 2 × 38.5 × 30.9 × cos(100.12°)) ≈ ±53.4
The length of the triangle is positive, therefore, c ≈ 53.4
Therefore, there is only one possible triangle.
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John is hanging some lights around his house for the holidays. However, there are bushes around the house, so the bottom of his extension ladder can only be placed as close as 33 feet away from his house. If he wants the ladder to reach a height 44 feet above the ground, how long should the ladder be, in feet?
Answer:
55.0
Step-by-step explanation:
To find the length of the ladder, we can use the Pythagorean theorem, which states that for any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs¹.
In this case, the ladder forms a right triangle with the ground and the wall, where the ladder is the hypotenuse and the distance from the house and the height of the ladder are the legs. We can label these lengths as follows:
- c = length of ladder (hypotenuse)
- a = distance from house (leg)
- b = height of ladder (leg)
Using the Pythagorean theorem, we can write:
$$c^2 = a^2 + b^2$$
We are given that a = 33 feet and b = 44 feet, so we can plug in these values and solve for c:
$$c^2 = 33^2 + 44^2$$
$$c^2 = 1089 + 1936$$
$$c^2 = 3025$$
$$c = \sqrt{3025}$$
$$c \approx 55.0$$
Therefore, the length of the ladder should be about **55.0 feet**.
S
Choose the words to finish the explanation of how you would show that points J, K, and L form the vertices of a triangle, using coordinate geometry.
The requried, use the Distance Formula to find the lengths JK, JL, and KL, and then apply the Triangle Inequality Theorem.
As given in the question, points J, K, and L form the vertices of a triangle,
The distance of the sides of the triangle can be calculated by the distance formula then apply triangle inequality to check whether the given shape is a triangle or not.
Therefore, use the Distance Formula to find the lengths JK, JL, and KL, and then apply the Triangle Inequality Theorem.
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Alexis has 9 yards of webbing. He divides the webbing into 15 pieces that are each the same length. How long is each piece of webbing?
Each piece of webbing is either 3/5 yards or 21.6 inches long, depending on the desired unit of measurement.
To find the length of each piece of webbing, we can start by using the formula for dividing a quantity into equal parts. The formula is:
quantity / number of parts = length of each part
In this case, Alexis has 9 yards of webbing, and he wants to divide it into 15 pieces that are each the same length. Therefore, we can plug in the values into the formula as follows:
9 / 15 = length of each part
Simplifying the fraction, we get:
3 / 5 = length of each part
Therefore, each piece of webbing is 3/5 yards long.
We can also express this as a decimal or in inches, depending on the desired unit of measurement. To convert 3/5 yards to inches, we can multiply by the conversion factor of 36 (since there are 36 inches in a yard):
3/5 yards x 36 inches/yard = 21.6 inches
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In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.
Triangle D E F has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments D C, E B, F A.
[Figure may not be drawn to sacle]
What is DG?
12 units
17 units
34 units
51 units
Applying the centroid theorem, the length of DG in the triangle shown below is calculated as: DG = 34 units.
How to Apply the Centroid Theorem?Given the following information regarding the triangle shown in the image as follows:
G is the centroid of triangle DEF
CG = (x + 5) units
DG = (3x - 2) units.
Based on the centroid theorem, we have:
DG = 2/3(CD)
Plug in the values into the equation above:
3x - 2 = 2/3 * (x + 5 + 3x - 2)
Solve for x:
3(3x - 2) = 2 * (4x + 3)
9x - 6 = 8x + 6
9x - 8x = 6 + 6
x = 12
DG = 3x - 2 = 3(12) - 2
DG = 34 units.
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Shaniece takes a trip to an amusement park and rides a Ferris wheel. The graph
below shows the height, in feet above the ground, of her car over time, t, measured
in minutes.
What is the midline and what does it represent in this context?
Answer:
Step-by-step explanation:
The distance from the midline to the highest point of the wave is the same distance as the lowest point is from the midline.
Find the distance from crest-to-trough and divide by 2 to find the midline:
(495 - 20) / 2 = 237.5
237.5 is also the amplitude of the wave
The midline is the horizontal line of y = 237.5
In this context, when she is at a height of 237.5 ft, she is half way from the top of the ferris wheel and half way from the bottom.
A coin is flipped 200 times. The table shows the frequency of each event.
Outcome Frequency
Heads 96
Tails 104
Determine the experimental probability of landing on heads.
O 48%
O 50%
096%
104%
A coin is flipped 200 times. The table shows the frequency of each event. So ,The experimental probability of landing on heads: 48%
Description:
To determine the experimental probability of landing on heads, we need to divide the frequency of heads by the total number of coin flips and express it as a percentage.
The total number of coin flips is:
200 (total number of trials)
The frequency of heads is:
96
So, the experimental probability of landing on heads is:
96/200 = 0.48 = 48%
Therefore, the answer is:
48%
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A bag contains 2 blue marbles and 2 green marbles. What is the probability of drawing a blue marble followed by a green marble, without replacing the first marble before drawing the second marble?
1/3
1/4
1/6
2/5
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Laurie rolls a number cube and then chooses a card from a set of cards numbered 1 through 8. What is the probability that she will roll an odd number and choose an even-numbered card?
1/8
1/14
1/4
1/2
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Charles rolls a number cube and then chooses a card from a set of cards numbered 1 through 24. What is the probability that he will roll an even number and choose an odd-numbered card?
1/4
1/8
1/3
1/24
Answer: First one: 1/3 Second one: 1/4 Third One: 1/4
Step-by-step explanation:
First one:
1/2 Blue marble 2/3 green marble
1/2 * 2/3 = 1/3
Second One:
1/2 odd number roll 1/2 even-numbered card
1/2 * 1/2 = 1/4
Third one:
1/2 even 1/2 odd
1/2 * 1/2 = 1/4
which of the following assumptions for a two-way anova is false? the samples must be dependent. the groups must have the same sample size. the sample populations must be normally or approximately normally distributed. the variances of the populations must be equal.
The samples must be dependent is the false assumptions all other assumptions about the two-way ANOVA is correct. Option A is the correct answer.
According to the levels of two categorical variables how the mean of quantitative variables changes is estimated by A two-way ANOVA. When you want to know how two independent variables, in combination, affect a dependent variable we can use a two-way ANOVA.
The samples must be dependent is the false assumption because samples are supposed to be independent, not dependent multicollinearity is minimized. the assumption of the two-way ANOVA is the Independence of variables, Homoscedasticity, and Normal distribution of variables.
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