Answer:
probability of blue =5/20=1/4
Step-by-step explanation:
probability of yellow=4/20=1/5
Probability of selecting a blue colour then a yellow colour is, 1/19.
What is conditional probability?Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
Given, A bowl containing 4 yellow, 6 orange, 3 green, 5 blue, 2 brown colors.
Let P(A) be the probability of selecting a blue colour.
∴ P(A) = N(B)/N(S).
P(A) = 5/20.
P(A) = 1/4.
Let P(B) be the probability selecting a yellow colour is = 4/19.
As we replacement is not allowed.
∴ Probability of selecting a blue colour then a yellow colour is,
= P(B)×P(A).
= 4/19×1/4.
= 1/19.
learn more about conditional probability here :
https://brainly.com/question/10567654
#SPJ2
Which criteria for triangle congruence allows you to immediately conclude that the triangles.
We may determine that the triangles are congruent based on the (B) HL criterion right away.
What are HL criteria?According to the HL Postulate, a right triangle's hypotenuse and leg are congruent if they are also congruent with the hypotenuse and leg of another right triangle.
So, we can see from the accompanying figure that these two triangles share a center line that is parallel to the base.
The two triangles are therefore right-angled triangles.
The hypotenuse of two triangles being congruent is then mentioned as a further argument.
Triangle congruence according to the HL criterion allows for a quick determination of congruence.
Therefore, we may determine that the triangles are congruent based on the (B) HL criterion right away.
Know more about HL criteria here:
https://brainly.com/question/29104848
#SPJ4
Complete question:
Which criteria for triangle congruence allows you to immediately conclude that the triangles are congruent without any extra steps?
A) SAS
B) HL
C) AAS
D) none
(1 point) let a be a 9×2 matrix. what must a and b be if we define the linear transformation by t:ra→rb as t(x)=ax?
The linear transformation T: R⁹ → R² as T(x) = Ax, and if we want to define a new linear transformation S: R² → Rᵇ, we need to find a matrix B with b columns such that C=BA, where C is the matrix that represents the composition of T and S.
The columns of A must be linearly independent for this equation to have a unique solution.
To define a linear transformation from the vector space R⁹ to R², we need a matrix A that has 2 columns and 9 rows.
Let us denote this matrix as A=[a1 a2 ... a9], where each column ai is a 9-dimensional column vector.
Matrix A, the linear transformation T: R⁹ → R² can be defined as T(x) = Ax, where x is any 9-dimensional column vector in R⁹.
To define a new linear transformation S: R² → Rᵇ, we need a new matrix B with b columns, which we denote as B=[b1 b2 ... bb].
The matrix B, we can first find the matrix C that represents the composition of T and S, which is given by C = BA.
Since the matrix C represents the composition of linear transformations, it must have b rows and 9 columns.
B must be a 2x b matrix.
The matrix A and the value of b, we can find the matrix B by solving the equation C = BA.
Equation has a unique solution only if the columns of A are linearly independent.
For similar questions on linear transformation
https://brainly.com/question/29642164
#SPJ11
Matrix a must be a b×a matrix, and the input vector x must have a dimensions (a×1) for the linear transformation t(x) = ax to be well-defined.
To define the linear transformation t: ℝ^a → ℝ^b as t(x) = ax, matrix a must be a b×a matrix.
In linear transformations, the matrix a represents the transformation from the domain ℝ^a to the codomain ℝ^b. The number of rows in a represents the dimensionality of the codomain, while the number of columns represents the dimensionality of the domain.
Given that we want to define t: ℝ^a → ℝ^b, the matrix a must have b rows and a columns. This ensures that the transformation can map the elements from ℝ^a to ℝ^b appropriately.
Additionally, to ensure that the transformation is valid and consistent, the dimensions of the input vector x must match the number of columns in matrix a. In other words, x must be a column vector with a dimensions (a×1) for the multiplication to be valid.
To learn more about Matrix click here
brainly.com/question/29132693
#SPJ11
What is true about the dilation?
What characteristics best describe the graph? Choose all that apply. *
Answer:
Options (1), (3) and (7)
Step-by-step explanation:
Characteristics of the given graph are as followed.
1). For every input value (x-value) there is a different output values (y-values).
So the points on the graph represent a function.
2). Coordinates of all the points are distinct and separate (not in fractions or decimals).
Function given is a discrete function.
3). For every increase in the x-values of the points there is a decrease in y-values.
Therefore, given function is a decreasing function.
Therefore, Options (1), (3) and (7) are the correct options.
how do you determine if a variable confounds an association?
A confounding variable must be associated with both the exposure and the outcome, and it should not be an intermediate step in the causal pathway between the exposure and outcome.
To determine if a variable confounds an association, follow these steps:
1. Identify the exposure, outcome, and potential confounding variable: Determine which variables are your exposure (independent variable), outcome (dependent variable), and the potential confounding variable.
2. Assess the relationship: Evaluate if the potential confounding variable is associated with both the exposure and the outcome. If it is, it could be a confounder.
3. Control for the confounding variable: Adjust your statistical analysis to account for the potential confounding variable, either by stratification or using multivariable regression techniques.
4. Compare the results: Analyze the strength and direction of the association between the exposure and outcome before and after controlling for the confounding variable. If the association changes significantly, it's likely that the variable is a confounder.
Remember that a confounding variable must be associated with both the exposure and the outcome, and it should not be an intermediate step in the causal pathway between the exposure and outcome.
Know more about confounding variable here,
https://brainly.com/question/30765416
#SPJ11
Need help in a and b giving 20 points
The ribbon length is 56 cm.
The area of the fabric is 558 cm.
We have,
Arc length of a circle = 2πx angle/ 360
Now,
angle = 160
radius = 20 cm
So,
Arc length of a circle
= 2πx 160/ 360
= 2 x 3.14 x 20 x 160/360
= 55.82
= 56 cm
And,
Area of the sector = πr² x angle/360
angle = 160
radius = 20 cm
So,
Area of the sector
= π X 20 X 20 x 160/360
= 3.14 X 400 X 160/360
= 558.22
= 558 cm²
Thus,
The ribbon length is 56 cm.
The area of the fabric is 558 cm.
Learn more about arc lengths here:
https://brainly.com/question/16403495
#SPJ1
COUNTING RISE OVER RUN
COUNT THE RISE OVER RUN AND SIMPLIFY IF POSSIBLE TO DETERMINE THE
SLOPE OF CACH LIME. THEN, ORDER YOUR ANSWERS (AND THE LETTER OF THE
GRAPH) FRON GREATEST TO LEAST TO CREATE YOUR CODE WORD.
Answer:
P) slope of 3, L) slope of 1, U) slope of 1/4, and S) slope of -1
Step-by-step explanation: Start at (0,0) and go to your next point
P) its rise 3 and runs 1 slope = 3
S) t rise 1 and runs back 1, slope = -1
U) it rise 1 and runs 4 slope = 1/4
L) its rise 1 and runs 1 slope = 1
Now in order of greatest to least
The sides of an isosceles triangle are whole numbers, and its perimeter is 30 units. What is the probability that the triangle is equilateral?
The probability that the triangle is equilateral is `0`.
Let's assume that the two sides of an isosceles triangle are `a`. Then, the perimeter of the triangle is `2a + b = 30`, where `b` represents the base of the triangle.
Substituting the value of `b` in terms of `a` in the above equation, we get:`2a + 2sqrt(a^2 - (30 - 2a)^2/4) = 30`
Simplifying this equation, we get: 4a² - 120a + 675 = 4√(3)a²
Squaring both sides of the equation, we get: 16a⁴ - 960a³ + 40500a² - 243000a + 455625 = 0
The solutions of this equation are: a = 7, 15
The probability of the triangle being equilateral is 0.
An isosceles triangle can be equilateral only if its sides are of equal length. Since there is only one value of `a` such that `2a < 30` and `a` is a whole number, the probability of the triangle being equilateral is 0.
Hence, the probability that the triangle is equilateral is `0`. The given isosceles triangle can have sides of length `7-7-16` or `15-15-0`.
To learn about probability here:
https://brainly.com/question/251701
#SPJ11
Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet, 16 feet, and 12 feet long. If the two shortest sides of quadrilateral EFGH are 9 feet long and 18 feet long, how long is the 4th side on quadrilateral ABCD?
A. 6 feet
B. 12 feet
C. 10 feet
D. 8 feet
The length of the 4th side on quadrilateral ABCD will be D. 8cm.
How to calculate the length?From the information given, we are told that the lengths of the three longest sides in quadrilateral ABCD are 24 feet, 16 feet, and 12 feet long.
In this case, the side will be:
24/16 = 12/x
x = (16 × 12)/24
x = 8
Learn more about quadrilateral on:
brainly.com/question/4418832
#SPJ1
!!!!!URGENT!!!!! PLS HELP!!! WILL MARK BRAINLIEST!!
Kelsie sold digital cameras on her website. She bought the cameras for $65 each and included a 60% markup to get the selling price. To the nearest dollar, what was the selling price for one camera? Please show work.
Answer:
$104
Step-by-step explanation:
Find 60% of 65 then add it to 65:
0.6 * 65 = 39
Now add it to 65:
39 + 65 = 104
Therefore she's selling cameras for $104 each.
which time-series model assumes that demand in the next period will be equal to the most recent period’s demand? A) Naïve approach
B) Exponential smoothing approach
C) Moving average approach
The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.
What is Naïve approach model?This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:
y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.
Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.
Learn more about time-series model here:
brainly.com/question/15114845
#SPJ4
IM GIVING BRAINLIEST!!
What two integers between -100 and -20 could be divided to equal 0?
Answer:
0
Step-by-step explanation:
What divided by what equals 0? What divided by what equals 0? Specifically, what positive whole number (X) can you divide by another positive whole number (Y) to get 0? The answer is infinite.
Here is a rectangle with length 5 units and width 2 units.
1. What is the area of the rectangle?
2. Dilate rectangle ABCD from point A by a scale factor of 2. Calculate the area of the image.
3. Dilate rectangle ABCD from point A by a scale factor of 3. Calculate the area of the image.
This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.
Solving for the area and scale factor we have:
L= 5 units
W = 2 units
The area of the rectangle =L * WA = (5 x 2)
A = 10 square units.
If the rectangle is dilated from point A by a scale factor of 2, the area of the image:A= (Scale factor of L * W)* L * W
= (2 x 2 x 5 x 2)
A = 40 square units.
If the rectangle is dilated from point A by a scale factor of 3, the area of the image is:A= (Scale factor of L * W)* L * W
= (3 x 3 x 5 x 2)
A= 90 square units
Learn more about area on
https://brainly.com/question/29082330
#SPJ1
Find the equation of the exponential function that goes through the points (0,4) and (4,0.25).
The answer of the given question based on the exponential function is the exponential function that goes through the points (0,4) and (4,0.25) is: f(x) = 4(0.5)ˣ.
What is Equation?An equation is a statement that two expressions are equal. It contains an equal sign (=) which separates the two expressions, and it can include variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots.
The general form of exponential function is:
f(x) = a(b)ˣ
where a is the initial value, b is the base, and x is the independent variable.
We can use the two given points to form a system of equations and solve for the values of a and b.
Using the point (0,4):
f(0) = a(b)⁰ = a = 4
Using the point (4,0.25):
f(4) = a(b)⁴ = 0.25
Now we can substitute a = 4 into the second equation and solve for b:
4(b)⁴ = 0.25
(b)⁴ = 0.25/4 = 1/16
b = (1/16)⁽¹/⁴⁾ = 0.5
Therefore, the exponential function that goes through the points (0,4) and (4,0.25) is: f(x) = 4(0.5)ˣ
To know more about Expression visit:
https://brainly.com/question/1859113
#SPJ1
which list shows the temperature in order from warmest to coldest in degrees Celsius
help me plsss
Answer:
Step-by-step explanation:
Answer: 9 degrees Celsius, 0 degrees Celsius, -4 degrees Celsius, -12 degrees Celsius
Step-by-step explanation:
Greatest is from Highest to lowest so from 9,0-4,-12 is the correct order
How many total students have test scores less than 71 or greater than 90?
Answer:
is this the full question
Consider the data points p and q: p= (8, 15) and q = (20, 6). Compute the Minkowski distance between p and q using h = 4. Round the result to one decimal place.
The Minkowski distance between the data points p=(8, 15) and q=(20, 6) using h=4 is approximately 11.6.
The Minkowski distance is a generalization of other distance measures such as the Euclidean distance and Manhattan distance. It calculates the distance between two points by summing the absolute values of the differences raised to the power of a constant parameter h. In this case, h=4.To calculate the Minkowski distance, we first find the absolute differences between the coordinates of p and q: |8-20| = 12 and |15-6| = 9.
Then we raise each difference to the power of h=4: 12^4 = 20,736 and 9^4 = 6561. Finally, we sum the raised differences: 20,736 + 6561 = 27,297. Taking the fourth root of this sum gives us the Minkowski distance: √27,297 ≈ 165.5. Rounding to one decimal place, the Minkowski distance between p and q is approximately 11.6.
Learn more about distance click here:
brainly.com/question/13034462
#SPJ11
Jessica picks tomatoes in her garden. She fills several bags. This line plot shows the weight of each bag.
How many more pounds does one of the heaviest bags weigh than one of the lightest bags?
Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
1 1/4 is the answer
Step-by-step explanation:
a spinning rigid body has ω(0) > 0 and at t = 0 it begins to decelerate at α(t) = −b t2 , where the constant b > 0 . at what time does the body come to momentary rest in its rotation?
The body comes to momentary rest at time t = \((3t = (3\omega(0)/b)^{(1/3)}).\)
Given that the angular acceleration is given by \(\alpha(t) = -b t^2\), we can integrate it to obtain the angular velocity as a function of time.
Integrating α(t) with respect to t gives us:
\(\omega(t) = - (b/3) t^3 + C\)
Here, C is the constant of integration.
To determine C, we can use the initial condition that ω(0) = ω(0), which means the angular velocity at t = 0 is some known value ω(0).
Plugging in these values, we get:
\(\omega(0) = - (b/3) (0)^3 + C\)
ω(0) = C
Therefore, the expression for the angular velocity becomes:
\(\omega(t) = - (b/3) t^3 + \omega(0)\)
To find the time at which the body comes to a momentary rest, we need to solve for t when ω(t) = 0:
\(0 = - (b/3) t^3 + \omega(0)\)
Simplifying the equation, we have:
\((b/3) t^3 = \omega(0)\\t^3 = (3\omega(0))/b\\t = (3\omega(0)/b)^{(1/3)})\)
Hence, the body comes to momentary rest at time\(t = (3\omega(0)/b)^{(1/3)}.\)
For more questions on momentary rest
https://brainly.com/question/13790463
#SPJ8
Choose a number sentence is that illustrates distribute property of multiplication over addition 2×7+8 = 2+7×2+8
Answer:
\((b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)\)
Step-by-step explanation:
Given
\((a)\ 2 * (7 + 8) = (2 + 7) * (2 + 8)\)
\((b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)\)
\((c)\ 2 * (7 + 8) = (2 * 7) + 8\)
Required
Which illustrates distributive property of multiplication over addition
The property states that:
\(a(b + c) = a * b + a * c\)
By comparison
\(a = 2\ b = 7\ c = 8\)
So, we have"
\(2(7 + 8) = 2 * 7 + 2 * 8\)
\(2(7 + 8) = (2 * 7) + (2 * 8)\)
What are the measures for angle b,c,and d
Question 12
A recipe for 20 rolls requires 5 tablespoons of butter. How many tablespoons of butter are
needed for 3 rolls?
answer : is 0.6 Tablespoon
step : 20 rolls = 5 tablespoon
5 rolls = 1 tablespoon
1tablespoon ÷ 5 rolls = 0.2 Tablespoon
0.2 x 3 Rolls = 0.6 Tablespoon
Find angle X. Hypotonuse = 15ft., Opposite = 8ft.
Answer:
58
Step-by-step explanation:
sinh=oppo/hypo
sinh=8/15
h=sin^-1(8/15)
h= 32.231 degrees
180 - (90+32)= X
X=58
Select all of the equations that have NO SOLUTION 2x = 2x - 1; 5x + 3 = 5x + 3; 4 - 4x = 2(2x); 8 + 3x = 3x - 4; 2x = 0
Answer:
1. No equation 2. Infinite equation (infinity = infinity) 3. No equation 4. No equation 5. x = 0
Step-by-step explanation:
consider this phase diagram for carbon. which phases are present at the upper triple point?
At the upper triple point, solid graphite, liquid carbon, and gaseous carbon dioxide coexist in equilibrium.
How do phases coexist at upper triple point?In a phase diagram for carbon, the upper triple point represents a specific combination of temperature and pressure where all three phases of carbon—solid (graphite), liquid (carbon), and gas (carbon dioxide)—coexist in equilibrium.
At this point, there is a delicate balance between the three phases, and any deviation from the exact temperature and pressure values would cause one or more phases to dominate.
The upper triple point is a unique set of conditions where solid graphite, liquid carbon, and gaseous carbon dioxide can exist simultaneously.
It's important to note that the precise values of temperature and pressure at the upper triple point may vary depending on the specific phase diagram being referenced.
learn more about triple point
brainly.com/question/519191
#SPJ11
Can somebody please help me with this algebra assignment thank youu
Answer: you answer is -$150
Step-by-step explanation:
450 minus 200 minus 200 minus 200 and you get -$150
In acute triangle $ABC$, points $D$, $E$, and $F$ are located on sides $\overline{BC}$, $\overline{AC}$, and $\overline{AB}$ so that $\overline{AD} \perp \overline{BC}$, $\overline{DE} \perp \overline{AC}$, and $\overline{DF} \perp \overline{AB}$. Let $R_1$ and $R_2$ be the radii of the circles around $\triangle ABC$ and $\triangle AEF$, respectively. Determine the number of degrees in the measure of $\angle A$ if the area of $\triangle ABC$ is equal to $R_1R_2$.
Answer:
////////A.
Step-by-step explanation://///////
I think
One gallon is equal to about 3.785 liters. What is this amount rounded to the nearest tenth? To the nearest hundredth? Show your work. ook at problem 3. What is the greatest number of whole liters of water you could pour into a one-gallon container without it overflowing? Explain your answer.
Answer:
3.8 ; 3.79 ; 3
Step-by-step explanation:
Given that:
1 gallon is equal to about 3.785 litres
3.785 to the nearest tenth :
Tenth digit = 7 ; round up 8 to 1 and add to 7
Hence,
3.785 = 3.8 (nearest tenth)
3.785 to the nearest hundredth :
Hundredth digit = 8 ; round up next digit 5 to 1 and add to 8
3.785 = 3.79 ( nearest hundredth)
What is the greatest number of whole liters of water you could pour into a one-gallon container without it overflowing?
The greatest Number of whole liters of water that could be poured into a 1 gallon container without it overflowing is 3 liters because, rounding up 3.785 to the nearest integer of 4 means we will exceed the maximum litres by about 0.215 gallons and hence, cause the container to overflow.
help plz ty i hate math :/
Answer:
They will both inspect the 180th package...
Step-by-step explanation:
bc the lcm both have 2x2 :) (I did that awhile ago)
a test has a mean of 100 and a standard deviation of 15. a client scores 130 on the test. at what percentile (rounded off) would this client's score place her?
As per the concept of z - score, the percentile would this client's score is 0.4772
Z - score:
In statistics, z - score is also termed the standard score, is used to determine how much each data point position is away from its mean. Where as in other words, it measures the deviation of x (data point) in terms of the standard deviations. Here the percentage of the population above or below the score can be obtained using z tables.
Given,
A test has a mean of 100 and a standard deviation of 15. a client scores 130 on the test.
Here we need to find at what percentile (rounded off) would this client's score place her.
As per the formula of z score, here we have the values,
mean = 100
standard deviation = 15
Score = 130
Therefore, the z score is calculated as,
=> z score = (130 - 100) / 15
=> z score = 30 / 15
=> z score = 2
According to the z score table the resulting value is 0.4772.
To know more about Z score here.
https://brainly.com/question/15016913
#SPJ4