Using it's concept, it is found that the probability that he winds up wearing the white shirt and tan pants is of \(\frac{1}{8}\).
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
For the shirt, there is 4 outcomes, hence the probability of the white shirt is 1/4.For the pair of pants, there are 2 outcomes, blue or tan, hence the probability of tan pants is 1/2.Since the shirt and the pants are independent, the probability is given by:
\(p = \frac{1}{4} \times \frac{1}{2} = \frac{1}{8}\).
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Answer:
this is so you can mark the other person brainlists or whatever
Step-by-step explanation:
using this info rn
if you dilate something by 1 half, what would you have to dilate it to to get it back to the same number.
If I dilate a number by 1 half, then I will have to dilate it again by 2, to get the same to the same number.
As per the question statement, I dilate a number by 1 half.
We are required to calculate that by what should I dilate the result, to reverb back to the same number that I started with.
To solve this question, first we need to understand the concept of Dilation.
Dilation means to create an Image.If dilation of a number or object enlarges it, then it is known as enlargement.On the other hand, if dilation creates a smaller image, then it is known as Reduction.Here, since our first dilation of the original number, say "x" reduces it by 1 half, that is, x becomes (x/2),
To get back to x, we will need to multiply (x/2) by 2 again.
[(x/2) * 2] = x.
Therefore, I will need to enlarge our result with a multiplication with 2 to get back to our original number.
Dilation: Dilation means to change the size of an object without changing its shape, where the size of the object may be increased or decreased based on the scale factor.To learn more about Dilation, click on the link below.
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How many solutions are there to the equation below?
√x = -7
Answer:
There are no solutions.
Step-by-step explanation:
Hope this helped! :D
Can someone plz help me with this one problem plz!!!
I’m marking brainliest!!
josh scored x marks in this math exam. he scored 8 more marks in english than math, and 3 more marks in geography than in math. if he received a total of 200 marks for the 3 subjects, find how many marks he scored in math.
Answer:
Math = 63
Step-by-step explanation:
Math = x
Eng = Math + 8
Geo = Math + 3
Math + Eng + Geo = 200
Substitute Eng and Geo with information above
Math + (Math + 8) + (Math + 3) = 200
3Math + 8 + 3 = 200
3Math + 11 = 200
3Math = 200 - 11
3Math = 189
Math = 189 ÷ 3
Math = 63
What is the electron geometry chart
The Electron Geometry Chart is a visual representation of the arrangement of electrons in a molecule. It is used to predict the molecular shape and the bond angles of a molecule based on its electron-group geometry.
Electron geometry is a term used to describe the arrangement of electron groups around a central atom in a molecule. This arrangement is important in determining the molecular shape and the bond angles of the molecule, which can affect its physical and chemical properties.
The Electron Geometry Chart provides a simple and visual way of understanding the arrangement of electrons in a molecule. It shows the number of electron groups surrounding a central atom and the shape that they form.
The chart also shows the bond angles between the electron groups and the central atom, which can be used to predict the molecular shape of the molecule.
The value of the Electron Geometry Chart lies in its ability to help students and scientists understand the relationship between the electron arrangement in a molecule and its molecular shape and bond angles.
By using the chart, students can develop a deeper understanding of molecular geometry and its impact on the physical and chemical properties of a molecule.
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मृ
50%
130⁰
B
B
→→→→
〉
Given AB CD, what is the mzx and my in this diagram?
Justify your answer using geometry vocabulary.
Considering the figure the unknown angles are solved to be
x = 130 degrees
y = 190 degrees
What is supplementary angle?Two or more angles are said to be supplementary if their sum is equal to 180 degrees
In the figure angle 50 and angle x are on a straight line which are supplementary angles because of this we have
50 + x = 180
x = 180 - 50
x = 130 degrees
Also angle y is equal to angle 130 degree according to the vertical angel theorem
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The domain for variable x is the set of all integers. Select the statement that is false.a. ∀x (x2≠5)b. ∀x (x2≥x)c. ∀x (x2>x)d. ∃x (√x=x)
The false statement among the given options is (c) ∀x (x^2>x), since it is not true for all integers in the domain.
(a) ∀x (x^2≠5) is a true statement, since there is no integer x whose square is equal to 5.
(b) ∀x (x^2≥x) is a true statement, since for any integer x, x^2 is always greater than or equal to x.
(c) ∀x (x^2>x) is a false statement, since it is not true for all integers. For example, when x = 0 or x = 1, x^2 is not greater than x.
(d) ∃x (√x=x) is a true statement, since there exists an integer x (i.e., x = 0 or x = 1) such that the square root of x is equal to x.
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If 1/3 is equivalent to 33 1/3%, what percent is equivalent to 2/3?
A: 33 2/3%
B: 150%
C: 66 2/3%
D: 65%
Answer:
C 66 2/3%
Step-by-step explanation:
1/3 = 33 1/3%
1/3 = 33 1/3 ∙ 1/100 % means 1/100
1/3 = 100/3 ∙ 1/100 33 1/3= (33∙3+1)/3=100/3
1/3 = 100/300 Reduce
1/3 = 1/3 Check so
1/3 = 33 1/3%
Now 2/3=?%
We know that 2/( 3) = N ∙ 1/100 meaning of percent (%)
2/3 = N/100
200 = 3N
200/3 = N
66.66 =N
Therefore 2/3 = 66 2/3 %
The ability of ecologists to identify regions of greatest species richness could have an impact on the preservation of genetic diversity, a major objective of the World Conservation Strategy. The article "Prediction of Rarities from Habitat Variables: Coastal Plain Plants on Nova Scotian Lakeshores" (Ecology [1992]: 1852– 1859) used a sample of n = 37 lakes to obtain the estimated regression equationY = 3.89 + 0.033x1 + 0.024x2 + 0.023x3 + 0.008x4 – 0.13x5 – 0.72x6where y = species richness, x1 = watershed area, x2 = shore width, x3 = drainage (%), x4 = water color (total color units), x5 = sand (%), and x6 = alkalinity. The coefficient of multiple determination was reported as R2 = .83. Use a test with significance level .01 to decide whether the chosen model is useful.
The regression model has predictive power at the 0.01 level.
How to find regression model?The test statistic for this hypothesis test is the F-statistic, which is calculated as:
F = (R2 / k) / ((1 - R2) / (n - k - 1))
where k is the number of predictors (in this case, k = 6) and n is the sample size (n = 37).
Using the reported value of R2 = 0.83, we can calculate the F-statistic as:
F = (0.83 / 6) / ((1 - 0.83) / (37 - 6 - 1)) = 15.22
For this test, the critical value is F0.01,6,30 = 4.03.
Since the calculated F-statistic (15.22) is greater than the critical value (4.03), we can reject the null hypothesis and conclude that the regression model has predictive power at the 0.01 level.
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We reject the null hypothesis and conclude that the chosen model is useful at the 0.01 level of significance.
To decide whether the chosen model is useful or not, we need to perform a hypothesis test for the significance of the regression model. The null hypothesis is that the regression model is not useful, which means that all the regression coefficients are equal to zero.
The alternative hypothesis is that the regression model is useful, which means that at least one regression coefficient is not equal to zero.
We can use the F-test for the significance of the regression model. The test statistic is given by:
F = (SSR/p) / (SSE/(n - p - 1))
where SSR is the regression sum of squares, SSE is the error sum of squares, p is the number of independent variables (excluding the intercept), and n is the sample size.
The regression sum of squares is given by:
SSR = ∑(ŷi - ȳ)²
where ŷi is the predicted value of Y for the ith observation, and ȳ is the mean of Y.
The error sum of squares is given by:
SSE = ∑(yi - ŷi)²
where yi is the observed value of Y for the ith observation.
The degrees of freedom for the numerator and denominator of the F-test are p and n - p - 1, respectively.
Using the given data, we have:
n = 37
p = 6
R² = 0.83
We can calculate the regression sum of squares and error sum of squares using the formulae:
SSR = R² × SST = R² × ∑(yi - ȳ)² = 0.83 × 266.49 = 221.40
SSE = SST - SSR = ∑(yi - ȳ)² - ∑(ŷi - ȳ)² = 266.49 - 221.40 = 45.09
where SST is the total sum of squares, which is given by:
SST = ∑(yi - ȳ)² = 266.49
The degrees of freedom for the F-test are p = 6 and n - p - 1 = 30.
The critical value of F for α = 0.01 and (p, n - p - 1) = (6, 30) is 4.26.
The computed value of F is:
F = (SSR/p) / (SSE/(n - p - 1)) = (221.40/6) / (45.09/30) = 42.53
Since the computed value of F (42.53) is greater than the critical value of F (4.26), we reject the null hypothesis and conclude that the chosen model is useful at the 0.01 level of significance. This means that at least one of the regression coefficients is not equal to zero, and the model as a whole explains a significant amount of the variation in species richness.
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Which models best illustrates the inequality and its graph?
a.) tina can type at least 60 words per minute
b.)tina can type at most 60 words per minute
c.)tina can type no more than 60 words per minute
d.) tina can type more than 60 words per minute
Answer:
a)
Step-by-step explanation:
The graph shows a solid dot on 60 and shading to the right of 60, so it shows all numbers greater than or equal to 60.
a.) tina can type at least 60 words per minute
At least 60 means greater than or equal to 60.
This is the answer.
b.)tina can type at most 60 words per minute
This is less than or equal to 60.
c.)tina can type no more than 60 words per minute
This means less than or equal to 60.
d.) tina can type more than 60 words per minute
This means greater than 60.
Using a pencil, pair of compasses and ruler, construct a triangle with sides 10cm, 7cm and 8cm. Measure the size of the angle between the 8cm and 7cm sides to the nearest degree
To construct a triangle with sides 10 cm, 7 cm, and 8 cm using a pencil, pair of compasses, and ruler, follow these steps:
Use the ruler to draw a straight line segment that is 10 cm long. This will be one side of the triangle.Place the point of the compasses on one end of the line segment, and draw an arc with a radius of 7 cm.Without changing the radius of the compasses, place the point on the other end of the line segment and draw another arc.The point where the two arcs intersect will be the second vertex of the triangle.Without changing the radius of the compasses, place the point on the second vertex of the triangle and draw an arc with the same radius.The point where the arc intersects the line segment will be the third vertex of the triangle.Use the ruler to draw a straight line connecting the three vertices to complete the triangle.
To measure the size of the angle between the 8 cm and 7 cm sides, follow these steps:
Place the point of the compasses at the vertex where the 8 cm and 7 cm sides meet.Without changing the radius of the compasses, draw an arc that intersects both the 8 cm and 7 cm sides.Use the ruler to measure the degree of the angle between the 8 cm and 7 cm sides by measuring the degree of the arc that intersects both sides. Round the measurement to the nearest degree.To know more about straight line click on the below link:
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Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S = 5.1 + 1.5 x estimates the amount of sales ( S ) of statin in billions of dollars x years after 1998.
Please help me I really need it
Answer: 170
Step-by-step explanation: Like I answered before: Angle G and Angle H are consecutive angles, meaning they both add up to 180 degrees. Thus, if 10 is the value of Angle G, Angle H must be 170.
Answer:
<CDA = 170⁰
Step-by-step explanation:
<A + <D = 180⁰ { Adjacent Angles of an parallelogram are supplementary}
10⁰ + <D = 180⁰
<D = 180⁰ - 10⁰ = 170⁰
<D = x⁰ = 170⁰ = <CDA
2. If the quadratic function f(x) has a turning point at (-3, 7) then where does the quadratic function g defined
by g(x)=f(x+4)+5 have a turning point?
(1) (-7,12)
(3) (-4,5)
(2) (1,12)
(4) (4,5)
notion is defined by the formula
The turning point of the quadratic function g(x) is (-7, 12), which is choice (1).
Describe Graph?In mathematics, a graph is a collection of vertices (also known as nodes) and edges that connect those vertices. The edges represent relationships between the vertices. Graphs can be used to model many different types of systems, including social networks, transportation networks, computer networks, and more.
A graph can be represented visually by drawing points or circles to represent the vertices, and lines or curves to represent the edges. The vertices and edges can also be labeled with numbers or other symbols to give them more meaning.
There are many different types of graphs, including directed graphs (also known as digraphs), undirected graphs, weighted graphs, and more. Directed graphs have edges that have a specific direction, while undirected graphs have edges that go both ways. Weighted graphs have edges with weights, which can represent things like distance, cost, or strength.
Graph theory is the branch of mathematics that studies graphs and their properties. It has many applications in computer science, operations research, physics, and other fields.
If the quadratic function f(x) has a turning point at (-3, 7), then the vertex of the parabola is at (-3, 7).
Now consider the quadratic function g(x) = f(x+4) + 5. To find the turning point of g(x), we need to rewrite g(x) in the form of f(x) by making a substitution. Let y = x + 4, then x = y - 4. We can substitute x = y - 4 into the expression for g(x) to get:
g(y-4) = f(y) + 5
So the graph of g(y-4) is the same as the graph of f(y), but shifted 4 units to the left and 5 units up.
The vertex of f(x) is (-3, 7), so the vertex of f(y) is (-3, 7) after making the substitution y = x + 4. Therefore, the vertex of g(y-4) = f(y) + 5 is obtained by shifting the vertex of f(y) 4 units to the left and 5 units up. This gives:
(-3 - 4, 7 + 5) = (-7, 12)
So the turning point of the quadratic function g(x) is (-7, 12), which is choice (1).
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Evaluate 7y - 5x^2 when x =2 and y=3
Answer:
1
Step-by-step explanation:
7x3=21
2x2=4
4x5=20
21-20=1
Just an answer and a simple explanation are needed. Please and thank you!
Answer:
KL = 51
Step-by-step explanation:
1: Make an equation
\(10x -2 = 5x-8 + 7x -12\)
the 10x is the JL line which is the whole line segment
2: start solving by getting all x to be on one side
\(10x-5x-7x = -8 -12 +2\)
3: simplify
\(-2x = -18\)
4: solve for x
\(x=9\)
5: plug x back into KL
\(7(9)-12 = 51\)
formula to calculate area of quadrilateral when Co ordinates are given please answer it anyone please...
\(\sf \orange {Please \: attach \: the \: picture \: of \:}\)
\(\sf \green {the \: Quadrilateral \: please.} \: \)
Karen eats 1/2 cup of oatmeal that counts for 2 points. Her husband can have 3 points of oatmeal for breakfast. How much oatmeal can he have Number 405
Explanation
If 2 points corresponds to 1/2 cup, 3 points corresponds to_____. We can write the following proportion:
\(2:\frac{1}{2}::3:x\)\(\begin{gathered} \frac{2}{\frac{1}{2}}=\frac{3}{x} \\ \end{gathered}\)\(4=\frac{3}{x}\)\(x=\frac{3}{4}\)Answer
Her husband eats 3/4 cup of oatmeal that corresponds to 3 points.
suppose that x is a normal random variable with mean 5. if p{x > 9} = .2, approximately what is var(x)?
suppose that x is a normal random variable with a mean of 5. if p{x > 9} = .2, So, the approximate variance of the normal random variable X is 22.66.
To find the variance of a normal random variable X with mean 5 and given P(X > 9) = 0.2, we will follow these steps:
1. Recognize that X follows a normal distribution: X ~ N(μ, σ²), where μ = 5 and σ² is the variance we want to find.
2. Convert the probability statement P(X > 9) = 0.2 to a standard normal distribution (Z) by finding the corresponding Z-score:
Z = (X - μ) / σ
3. Look up the Z-score that corresponds to the given probability (0.2) in a standard normal (Z) table. Since the table typically gives P(Z < z), we'll find P(Z < z) = 1 - 0.2 = 0.8. The corresponding Z-score is approximately 0.84.
4. Plug in the known values and solve for σ:
0.84 = (9 - 5) / σ
σ ≈ 4 / 0.84
σ ≈ 4.76
5. Finally, find the variance, which is σ²:
σ² ≈ 4.76²
σ² ≈ 22.66
So, the approximate variance of the normal random variable X is 22.66.
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The approximate variance of the normal random variable X is the square of the standard deviation:
Var(X) ≈ \((4.76)^2\) ≈ 22.65 (rounded to two decimal places).
To approximate the variance of the normal random variable X with a mean of 5, given that P(X > 9) = 0.2, we can use the z-score and standard normal distribution.
First, we calculate the z-score using the standard normal distribution formula:
z = (X - μ) / σ
where X is the value of interest (in this case, 9), μ is the mean (5), and σ is the standard deviation.
Plugging in the values, we get:
z = (9 - 5) / σ = 4 / σ
Next, we use the standard normal distribution table or a calculator to find the z-score that corresponds to a cumulative probability of 0.2. Let's assume that z = -0.84.
Now, we can use the z-score formula to solve for the standard deviation σ:
-0.84 = 4 / σ
Cross-multiplying, we get:
-0.84σ = 4
Dividing both sides by -0.84, we get:
σ ≈ 4 / -0.84 ≈ -4.76
Since the standard deviation cannot be negative, we discard the negative value and take the absolute value, resulting in:
σ ≈ 4.76
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Victoria rides her bike at a constant rate of 1 3/8 miles every 1/4 hour. What is her speed in miles per hour?
Answer:
5 1/2 miles per 1 hr
Step-by-step explanation:
biked 1 3/8 miles in 1/ of an hour
1 3/8 miles = 11/8 miles in 1/4 of hour
11/8 miles divided by 1/4 hr
11/8 ÷ 1/4
11/8 * 4/1 =44/8 = 5 4/8 miles in 1 hr or 5 1/2 miles per 1 hr
4 × square root of 3
Please find the photograph for the square root of 3.
Firstly, you have to write 3 as 3. 00 00 00.Then we should find out the root of the perfect square which is less than 3. Here, 1 is the required perfect square root because 1 × 1 = 1 only which is less than 3.Now 3 - 1 = 2 and we are placing 2 zeros after it so that it will be 200. Now we have to add 1 with the divisor 1 which will be 2. Then we have to select a number to be placed beside this 2 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 200. We see that if we place 7 after 2 and multiply 27 with 7, we get 189 which is less than 200. Now 200 - 189 = 11 and we are placing 2 zeros after it so that it will be 1100. Now we have to add 7 with the divisor 27 which will be 34. Then we have to select a number to be placed beside this 34 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 1100. We see that if we place 3 after 34 and multiply 3 with 343, we get 1029 which is less than 1100. Now 1100 - 1029 = 71 and we are placing 2 zeros after it so that it will be 7100. Now we have to add 3 with the divisor 343 which will be 346. Then we have to select a number to be placed beside this 346 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 7100. We see that if we place 2 after 346 and multiply 2 with 3462, we get 6924 which is less than 7100. So, we will get the quotient as 1.732 (corrected to three places of decimal).4√3
= 4 × 1.732
= 6.928
Answer:6.928
Hope it helps
The price of an item yesterday was $80 . Today, the price fell to $52 . Find the percentage decrease.
Answer:
The percent decrease is 35%.
Step-by-step explanation:
percent change = (new value - old value)/(old value) × 100%
new value = $52
old value = $80
percent change = ($52 - $80)/($80) × 100%
percent change = -$28/$80 × 100%
percent change = -35%
A negative percent change means a percent decrease.
Answer: 35%
Which graph represents the
function f(x)=4/x
Answer:
See Answer
Step-by-step explanation:
The point (10, 10) is the midpoint of C and D. Given that the coordinates of C are (15, s) and the coordinates of D are (t, 3), solve for the values of the variables s and t. Show your work (HELP ME PLEASE)
Answer: T= 5 and s =17
Step-by-step explanation: Use the midpoint formula
Solve for T
^xm=^xC+^xD/2
15+t/2=10
15+t=20
Solve for S
^ym=^yC+^yD/2
s+3/2=10
s+3=20
In R3 with the standard basis B: for the ordered bases --{8:00 --{X-8 D}---{-60 0 B' := and B":= 2 Linear Algebra (MATH 152) Marat V. Markin, Ph.D. (a) find the transition matrix B"[I]B'; (b) for the vector v with (v]B' = 0 apply the change of coordinates formula to find [v]B".
To apply the change of coordinates formula, we multiply the transition matrix B"[I]B' with the coordinate vector [v]B'. Since [v]B' = 0, the result of this multiplication will also be zero. Therefore, [v]B" = 0.
(a) The transition matrix B"[I]B' is given by:
B"[I]B' = [[1, -8], [0, 1]]
(b) To find [v]B", we can use the change of coordinates formula:
[v]B" = B"[I]B' * [v]B'
Since [v]B' = 0, the resulting vector [v]B" will also be zero.
(a) The transition matrix B"[I]B' can be obtained by considering the transformation between the bases B' and B". Each column of the matrix represents the coordinate vector of the corresponding basis vector in B" expressed in the basis B'. In this case, B' = {8:00, X-8D} and B" = {-60, 0}.
Therefore, the first column of the matrix represents the coordinates of the vector -60 expressed in the basis B', and the second column represents the coordinates of the vector 0 expressed in the basis B'. Since -60 can be written as -60 * 8:00 + 0 * X-8D and 0 can be written as 0 * 8:00 + 1 * X-8D, the transition matrix becomes [[1, -8], [0, 1]].
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A particular truck in a transportation fleet was driven by 178540.3 miles last year but not at all this year. By what percent did the annual distance driven decrease
The percent decrease of the annual distance decrease by 100%.
What is percent decrease?The quantity reduction in relation to its starting value is calculated using the percent decrease formula. We must first determine the values' differences before we can determine the percentage decrease. Next, multiply the difference by 100 and divide it by the initial value. Percent Decline = [(Old Value - New Value) / Old Value] 100] is the formula for percent decrease.
Given that the truck driven last year = 178540.3 miles.
This year = 0 miles.
The percentage decrease is given by:
Percent decrease = old value - new value / old value (100)
Percent decrease = 178540.3 - 0 / 178540.3 (100)
Percent decrease = 100%
Hence, the percent decrease of the annual distance decrease by 100%.
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chance tries to run 3 miles a day he ran 1525 yards in the morning and 1775 yards in the afternoon how many yards does he need to run
Step-by-step explanation:
1525 yards + 1775 yards = 3,300 miles.
3300 yards = 1.875 miles (exactly)
3 miles subtract 1.875 miles = 1.125 miles.
Therefore Chance needs to run 1.125 miles or 1,980 yards more.
-3(g-2f) = 5g ; g solve for f?
Step-by-step explanation:
well well from your question the value of g wasn't given and we are asked to solve for f
I will have to assume g=g
make f subject of formula
first we open the brackets
-3g+6f=5g
collect like terms
6f=5g+3g
6f=8g
f=8g/6
f=(4/3)g
Which expression below shows the distributaive property being used
correctly for 9(5C-2+7p)
answer choices:
45c-2+7p
45c-18+16p
14c-11+16p
45c-18+63p
I need help with this
Answer: 25%.
Step-by-step explanation:
There are 12 marbles in total, with 3 being red. 3 in 12 = 1/4 = 25%.