The events XX and YY are mutually exclusive. Suppose P(X) = 0.20 and P(Y) = 0.18.

What is the probability of either XX or YY occurring? (Round your answer to 2 decimal places.)

What is the probability that neither XX nor YY will happen? (Round your answer to 2 decimal places.)

Answer:

1. 1.5x + 7.2

2. -2.1 x - 7

Answer:

Area of the paper required =7000 cm²

Step-by-step explanation:

Dimensions of an Aquarium:

Length (l) = 80 cm,

Breadth (b) = 30 cm,

Height (h) = 40 cm

/* According to the problem given,

Area of the paper required =

Area of the base + 2×Area of two side faces + Area of the back side

(Front side should be visible,So, it is not covered )

= lb+2×bh+lh

= 80×30+2×(30×40)+80×40

= 2400+2×1200+3200

= 2400+2400+3200

= 7000 cm²

Therefore,

Area of the paper required =7000 cm²

Step-by-step explanation:

the probability of him making at least one free throw is lower (0.8044 vs. 0.9964), which means the opposing team has a better chance of preventing the other team from scoring points.

a. To find the probability that the player will make both free throws, we simply multiply the probability of making one free throw by itself: 0.94 * 0.94 = 0.8836 (to 4 decimals).

b. To find the probability that he will make at least one free throw, we can use the complement rule. The complement of making at least one free throw is missing both free throws, so we can find the probability of missing both free throws and subtract that from 1: 1 - 0.06 * 0.06 = 0.9964 (to 4 decimals).

c. To find the probability that he will miss both free throws, we multiply the probability of missing one free throw by itself: 0.06 * 0.06 = 0.0036 (to 4 decimals).

d. For the team's worst free throw shooter who makes 56% of his free throws, the probabilities are as follows:

a. The probability of making both free throws is 0.56 * 0.56 = 0.3136.

b. The probability of making at least one free throw is 1 - the probability of missing both free throws: 1 - 0.44 * 0.44 = 0.8044.

c. The probability of missing both free throws is 0.44 * 0.44 = 0.1936.

Comparing the probabilities for the two players, we can see that intentionally fouling the worst free throw shooter is a better strategy. This is because the probability of him missing both free throws is higher (0.1936 vs. 0.0036), which means the opposing team has a greater chance of gaining possession of the ball. In addition, the probability of him making at least one free throw is lower (0.8044 vs. 0.9964), which means the opposing team has a better chance of preventing the other team from scoring points.

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Answer: choice a

Step-by-step explanation:

Set up your variables. For this question lets use x, y, and z.

the equations will be . .

x + y + z = 165

x = 2y - 65

z = y -10

If we now substitude the equations for x and z with the first equation we cans solve for y. Hence the equation will be  . . .

2y - 65 + y + y -10 = 165

y = 60

then substitude the equations for x and z with y.

your answer should match choice a.

Answer:

y=60

Step-by-step explanation:

.....................................................................

The equations given can be expressed in cylindrical coordinates as follows: (a) 9\(\beta ^{2}\)- \(2\beta ^2sin^2(θ)z^2\) = 1, and (b) z = \(2\beta ^2 - 2\beta ^2sin^2(θ).\)

To convert the given equations from Cartesian coordinates to cylindrical coordinates, we substitute the corresponding expressions for x, y, and z in terms of cylindrical coordinates ρ, θ, and z.

(a) The equation \(9x^2 - 2x^2y^2z^2\) = 1 can be written as \(9\beta ^2cos^2(θ)\) - \(2\beta ^2cos^2(θ)sin^2(θ)z^2\) = 1. Simplifying further, we have \(9\beta ^2\) - \(2\beta ^2sin^2(θ)z^2\)= 1.

(b) The equation z = \(2x^2 - 2y^2\) can be expressed as z =\(2\beta ^2cos^2(θ)\)- \(2\beta ^2sin^2(θ)\). Simplifying further, we get z = \(2\beta ^2 - 2\beta ^2sin^2(θ).\)

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Answer:

doing really good

Step-by-step explanation:

brainiest please.

Answer: Top right, "The graph shows lines with different slopes, but the same y-intercept."

Step-by-step explanation:

      Let us graph the given equations and find out.

      Since the lines intercept the y-axis at the same point, they have the same y-intercept.

      However, they have different slopes.

The vector as a linear combination of standard unit vectors i and j is,

⇒ - i + 7j

We have to given that;

The initial and terminal points of RS are given below,

⇒ R(11, -4) and S(10, 3)

Hence, We can write as;

R = 11i - 4j

S = 10i + 3j

Hence, The vector as a linear combination of standard unit vectors i and j is,

⇒ RS = S - R

         = (10i + 3j) - (11i - 4j)

         = - i + 7j

Thus, The vector as a linear combination of standard unit vectors i and j is,

⇒ - i + 7j

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The set S = {〈5, 3, −6, −2〉, 〈21, 13, −28, −14〉, 〈−3, −2, 5, 4〉} is dependent. An independent subset S' of S can be obtained by removing one of the vectors that can be expressed as a linear combination of the other vectors. In this case, we can remove the third vector 〈−3, −2, 5, 4〉.

To express each vector from S − S′ (in this case, only the third vector) as a linear combination of the vectors from S', we need to find the coefficients that satisfy the equation:

c1⋅〈5, 3, −6, −2〉 + c2⋅〈21, 13, −28, −14〉 = 〈−3, −2, 5, 4〉

Solving this equation, we find that c1 = 1/3 and c2 = -2/3. Therefore, the third vector 〈−3, −2, 5, 4〉 can be expressed as a linear combination of the first two vectors in S'.

Thus, an independent subset S' of S that spans the same subspace is S' = {〈5, 3, −6, −2〉, 〈21, 13, −28, −14〉}, and the vector 〈−3, −2, 5, 4〉 can be expressed as -1/3⋅〈5, 3, −6, −2〉 + 2/3⋅〈21, 13, −28, −14〉.

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a) The binomial expansion of (1+12x)^1/2 is given by:

(1+12x)^1/2 = 1^1/2 + (1/2)(1^-1/2)(12x) + (1/2)(1^-1/2)(-1/2)*(12x)^2 + ...

Binomial expression: what is it?

A polynomial with only terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct terms. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic expression that contains a constant, exponents, a variable, and a coefficient.

The first four terms, in ascending powers of x, are:

1, (1/2)(12x), (1/8)(12x)^2, (1/16)*(12x)^3

b) To use x=1/36 in the expansion, you would substitute x=1/36 into the expansion, and keep only the terms up to x^3 (the fourth term in the expansion). This will give an approximation of the value of (1+12x)^1/2 when x=1/36.

This will be an approximation of √12 because x=1/36 corresponds to 12x = 1 and the initial value of the expansion is 1 + 12x .

We can use this approximation to approximate square root of 12 and also for other square roots by using appropriate x values.

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Answer: The answer is $2009.04

Step-by-step explanation:

I hope this helps.

The kinetic energy of the Mars Climate Orbiter spacecraft is approx    3.31 x 10^7 joules.

To determine the kinetic energy of the Mars Climate Orbiter spacecraft, we can use the formula:

Kinetic energy = (1/2) * mass * velocity^2

Given:

Mass of the spacecraft (m) = 629 kg

Velocity of the spacecraft (v) = 1.20 x 10^4 km/h

First, we need to convert the velocity from km/h to m/s:

1 km = 1000 m

1 h = 3600 s

Velocity in m/s = (1.20 x 10^4 km/h) * (1000 m/km) / (3600 s/h) ≈ 333.33 m/s

Now, we can calculate the kinetic energy:

Kinetic energy = (1/2) * (629 kg) * (333.33 m/s)^2

Kinetic energy ≈ 3.31 x 10^7 joules

Therefore, the kinetic energy of the Mars Climate Orbiter spacecraft is approximately 3.31 x 10^7 joules.

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Answer: eight different angles

Step-by-step explanation: If we draw to parallel lines and then draw a line transversal through them we will get 8 different angles. The eight angles will together form four pairs of corresponding angles.

The required values of x and y are x = 11 and y = 60 in the triangle.

Alternate Interior Angles are defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles.

To find the values of x and y, we can use the fact that alternate interior angles are congruent. This means that the angle with a measure of 6x+3 degrees is congruent to the angle with a measure of 75 degrees.

We can set up an equation to represent this relationship:

6x+3 = 75

Solving this equation for x gives us:

x = 11

Now we know that the angle with measure 6x+3 degrees is equal to 75 degrees, which means that the other two angles in the triangle must add up to 180 - 75 = 105 degrees. The angle with measure y degrees must be the remaining angle, so we can set up another equation to solve for y:

45 + y = 105

Solving this equation for y gives us:

y = 60

Therefore, the values of x and y are x = 11 and y = 60.

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Answer:

do I get brainliest?

Step-by-step explanation:

cause you said you'd give brainliest

✧･ﾟ: *✧･ﾟ:*  Answer:  *:･ﾟ✧*:･ﾟ✧

✅ This question is highly inappropriate!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

The probability of getting someone in the 18-21 age bracket or someone who refused to respond is approximately 0.34 or 34%.

To find the probability of getting someone in the 18-21 age bracket or someone who refused to respond, we need to add the probabilities of these two events happening.

First, let's find the probability of getting someone in the 18-21 age bracket. Out of the total 374 people contacted, 88 are in this age bracket. So the probability of getting someone in this age bracket is 88/374.

Next, let's find the probability of getting someone who refused to respond. Out of the total 374 people contacted, 13 in the 18-21 age bracket and 26 in the 22-29 age bracket refused to respond. So the total number of people who refused to respond is 13+26=39. Therefore, the probability of getting someone who refused to respond is 39/374.

Finally, we add these two probabilities to get the probability of getting someone in the 18-21 age bracket or someone who refused to respond:

88/374 + 39/374 = 127/374

total is 0.34% or 34%

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\(5 \frac{3}{5} \% \: of \: 750\)

\(5 \frac{3}{5} = 5.6\)

\( \frac{5.6\%}{100} \times \frac{x}{750} \)

\( = 42%\)

The smallest perimeter is P = 2L + 2W = 2(2) + 2(2) = 8 in, and the dimensions of the rectangle are 2 in by 4 in.

To find the smallest perimeter for a rectangle with an area of 4 in² using derivatives, we can set up an optimization problem. Let's denote the length of the rectangle as L and the width as W.

The formula for the area of a rectangle is given by A = L × W. Since we know the area is 4 in², we can write the equation as 4 = L × W.

To find the smallest perimeter, we need to minimize the perimeter function P = 2L + 2W while satisfying the area constraint.

We can rewrite the area equation as W = 4/L and substitute it into the perimeter equation to get P = 2L + 2(4/L).

Now, we find the derivative of the perimeter function with respect to L: \($dP/dL = 2 - \frac{8}{L^2}$\).

To find the minimum perimeter, we set the derivative equal to zero and solve for L:

\(2 - \frac{8}{L^2} = 0\\\\ 2 = \frac{8}{L^2}\\\\ L^2 = \frac{8}{2}\\\\ L^2 = 4\\\\ $L = \pm 2$\)

Since we're dealing with lengths, we take L = 2 (we discard the negative solution). Substituting this value back into the area equation, we find W = 4/L = 4/2 = 2

Therefore, the smallest perimeter is P = 2L + 2W = 2(2) + 2(2) = 8 in, and the dimensions of the rectangle are 2 in by 4 in.

Now, consider finding the largest perimeter. Since we're not given any constraints on the dimensions, the largest perimeter is unbounded and not defined for a fixed area of 4 in². As one side of the rectangle approaches infinity, the perimeter also approaches infinity. Therefore, there is no upper limit to the perimeter.

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Answer:

1.2

Step-by-step explanation:

Convert 8÷6.4038÷6.403 to a decimal.

1.249414331.24941433

Find the number in the tenth place 22 and look one place to the right for the rounding digit 44. Round up if this number is greater than or equal to 55 and round down if it is less than 55.

1.21.2

Need more help?

When comparing the two sets of data to determine the location with the most consistent temperature, the measure of variability that should be used is the interquartile range (IQR). Hence, the answer is: IQR, because Sunny Town is skewed.

The IQR is a measure of the spread or dispersion of data that is less influenced by extreme values or outliers, making it suitable for skewed distributions like Sunny Town. Skewness indicates that the data is not symmetrically distributed, and the IQR is more robust to such deviations.

In the given description, Sunny Town is mentioned as skewed, and therefore, using the IQR would be appropriate to measure the consistency of temperature in that location. The shaded bars in the histogram show different frequencies in each temperature interval, suggesting some variability in the temperature distribution.

On the other hand, the description does not mention any skewness in Desert Landing, which indicates a relatively symmetric distribution. In such cases, the range, which is the difference between the maximum and minimum values, could be a suitable measure of variability.

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We have to find the federal taxes that should pay Holly, a single taxpayer.

In the single table, we see that the taxes due will be given by

The amount is $40,300, and applying the formula we obtain:

This means that the federal taxes due of Holly is $13,319.5.

The greatest common divisor (GCD) of 509 and 1,177 can be calculated using the Euclidean algorithm, the Euclidean algorithm is a recursive algorithm that iteratively divides the larger number by the smaller number until the remainder is zero.

The final non-zero remainder is the GCD of the two numbers. In this case, starting with 1,177 and 509, we divide 1,177 by 509 to get a quotient of 2 and a remainder of 159. Then, we divide 509 by 159 to get a quotient of 3 and a remainder of 32.

Continuing this process, we divide 159 by 32 to get a quotient of 4 and a remainder of 31. Finally, we divide 32 by 31 to get a quotient of 1 and a remainder of 1. Since the remainder is non-zero, the GCD of 509 and 1,177 is 1.

To summarize, using the Euclidean algorithm, we found that the greatest common divisor of 509 and 1,177 is 1. The algorithm involves repeatedly dividing the larger number by the smaller number and taking the remainder until the remainder becomes zero.

The final non-zero remainder is the GCD. In this case, after several divisions, we obtained a remainder of 1, indicating that 1 is the largest integer that divides both 509 and 1,177 without leaving a remainder.

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Answer:

y > x^2 - 6

y > x^2 + 2

Step-by-step explanation:

The original selling price would be $ 514.87approximately.

An equation is an expression that shows the relationship between two or more numbers and variables.

Consider x be the original selling price After marking down 10%,

Then New selling price = x - 10 % of x

= 0.9x

Again after marking down 30%, then equation form

Final selling price = 0.9x - 30% of 0.9x

Final selling price = 0.9x - 0.30 of 0.9x

Final selling price = 0.63x

According to the question,

0.63x = 322

x = 514.87

Hence, The original selling price would be $ 514.87approximately.

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The product of √2 and √8 is 4.

The square root of the the number is a factor that can multiply by itself to get that number , the square root of the number a is denoted by "√a" .

For Example : √36 = √6*6 = √6² = 6

In the question ,

we have been given

two numbers √2 and √8

to find the product we multiply them

which is √2*√8

= √2*8

= √16      

= √4*4         ...(as 16 can be expressed in the form 4*4 )

= √4²

= 4

Therefore , the product of √2 and √8 is 4 .

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I need more info

Step-by-step explanation:

I can help If i had more info

Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

Answer:

Step-by-step explanation:

The two integers are 20 and 27.

To solve this problem, we can use a system of equations. Let x be the smaller integer and y be the larger integer. We can write the following system of equations:

x + y = 47 (since the sum of two integers is 47)

y = 3x + 7 (since the larger integer is 7 more than three times the smaller integer)

Substituting the second equation into the first equation, we get:

x + (3x + 7) = 47

4x + 7 = 47

4x = 40

x = 10

Substituting x = 10 into the second equation, we get:

y = 3(10) + 7 = 37

Therefore, the two integers are 10 and 37, and their sum is indeed 47.

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Complete Question:

The sum of two integers is 47. The larger is 7 more than three times the smaller number. Find the integers