The probability that a randomly-selected person at a show has seen the band play live before is 50%. A "superfan" is defined as someone who has seen the band play live at least 5 times. The probability that a person at a show is a "superfan" is 30%. Two people are selected at random. What is the probability that both people have both seen the band perform live before, and are "superfans?"

Answer: 74

Step-by-step explanation: u add it and subtract it

Answer:  1)  I don't like the options, but the one that comes closest to a good answer is the second.   The rate depends on the number of movies rented.

2)  a) $4.99

     b)  $9

3)  C = $9 + m*($4.99)

Step-by-step explanation:

Answer:

√40 = 2√10=6.32455532034

Answer:

2✓10

Step-by-step explanation:

Assuming you'd like to simplify:

✓4✓10

2✓10

Follow these procedures to calculate the mean absolute deviation.

1. Determine the data's mean by adding all of the values and dividing by the number of values in the data set.

2. Subtract the mean from each of the data points.

3. Make each difference a good one.

4. Add up all of the positive differences.

5. Subtract this total from the amount of data values in the collection.

This is the  mean absolute deviation.

A data set's average absolute deviation is the sum of its absolute departures from a central point. It is a statistical dispersion or variability summary statistic.

The average distance between the values in a data collection and the set's mean is described by mean absolute deviation. A data collection with a mean average deviation of 3.2, for example, has values that are 3.2 units away from the mean on average.

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In this diagram, points Q and R are found in both planes. Line QR is the result of intersecting the two planes together.

For something like diagram B, point Q is only found on one of the planes (the horizontal one) and not the other plane (the vertical one). So we can rule choice B out. The other choices are eliminated for similar reasoning.

A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.

To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,

ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):

ML² = 20² + 20² - 2(20)(20)cos(50°)

ML² = 400 + 400 - 800cos(50°)

ML² ≈ 617.4

Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.

So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.

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The statement is false. The arc length of the curve defined by x = 4(3 + y)² on the interval [1, 4] is not approximately 131 units.

To find the arc length of a curve, we use the formula ∫ √(1 + (dx/dy)²) dy, where the integral is taken over the given interval.

In this case, the equation x = 4(3 + y)² represents a parabolic curve. By differentiating x with respect to y and substituting it into the arc length formula, we can calculate the exact arc length over the interval [1, 4].

However, it is clear that the arc length of the curve defined by x = 4(3 + y)² cannot be approximately 131 units, as this would require a specific calculation using the precise integral formula mentioned above.

Therefore, the statement is false, and without further calculations, we cannot determine the exact arc length of the given curve on the interval [1, 4].

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Money market accounts allow for the creation of savings for current or upcoming requirements.

Savings for immediate or future needs can be made in money market accounts. To maintain your emergency savings in a convenient and secure location, for instance, you can think about opening a money market account. You desire to earn an APY similar to CDs without locking up your money for months.

You can get instant access to your money using money market accounts almost whenever you need it. A common feature of MMAs is the availability of check writing and debit card cash access. Also, be aware that you can often withdraw funds without being charged a fee, just like you could with a certificate of deposit (CD).

Therefore, the correct answer is option A. want to make numerous transactions and earn interest.

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As per the concept of subtraction, the integer number that representing the change in population is y - x = 1,379,048

Subtraction:

Subtraction means the difference or change between two or more things.  Basically, it is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-).

Given,

Between July​ 1, 2011, and July​ 1, 2012, the population of a specific country increased by approximately 1,379,048.

Here we need to find the change in the population.

In order to find the change in the population, we have to subtract one from another,

Such that,

Change = Population in July 1, 2011 - Population in July 1, 2012

Here the changed value is only presented in the question, so let us consider that

Population in July 1, 2011 as x and

Population in July 1, 2012 as y,

Then we get, the equation as,

y - x = 1,379,048

Here we first placed the y because the population is increasing.

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Answer:

There are 0 solutions

Answer:

Zero

Step-by-step explanation:

Let's solve the equation first.

For now, I will focus on the LHS and simplify that:

3(x + 2) = 3x + 1

3x + 6 = 3x + 1

Rearrange

3x - 3x = 1 - 6

Simplify

0x = -5

0 = -5 which isn't true

So 3(x + 2) = 3x + 1 has 0 solutions.

IF THE EQUATION HAS EQUAL ROOTS IT MEANS

\( {b}^{2} - 4ac = 0\)

THAT IS THE RULE.

WHERE b is the coefficient of x

a si the coefficient of

\( {x}^{2} \)

and c is the constant number.

IF QE CHECK IN THE GIVEN EQUATION WE WILL FIND THAT a=2

b= -(b-4)

c= -4(b+2)

\(( - (b - 4))^{2} - 4(2)( - 4(b + 2)) = 0 \\ (4 - b ) ^{2} - 8( - 4b - 8) = 0 \\ (4 - b )(4 -b ) + 32b + 64 = 0 \\ 16 - 4b - 4b + {b }^{2} + 32b + 64 = 0 \\ {b }^{2} + 24b + 80 = 0 \\ (b + 20)(b + 4) = 0 \\ b + 20 = 0 \\ \\ \\ orb \\ \\ b + 4 = 0 \\ b = -2 0 \\ \\ \\ or \\ b = - 4\)

ATTACHED IS THE SOLUTION

The integral can be evaluated by performing a u-substitution. Let's rewrite the integral using the substitution u = x - 5.

Substituting u = x - 5, we have dx = du. We also need to express the limits of integration in terms of u. When x = 2, u = 2 - 5 = -3, and when x = 3, u = 3 - 5 = -2.

The integral becomes:

∫ [(-3) to (-2)] (u^2 - 10u + 25) / (39 + 10u - u^2)^(3/2) du.

Now, we need to determine the trigonometric substitution that will be most helpful for evaluating this integral. To make this determination, we can rewrite the denominator of the integrand in a form that suggests a trigonometric substitution.

The denominator is (39 + 10u - u^2)^(3/2). To rewrite this in a suggestive form, we complete the square:

39 + 10u - u^2 = -(u^2 - 10u - 39)

                  = -(u^2 - 10u + 25 - 25 - 39)

                  = -((u - 5)^2 - 64)

                  = -((u - 5)^2 - 8^2).

Now we can see that a trigonometric substitution of the form u - 5 = 8 sinθ will be most helpful.

Using this substitution, we have u = 5 + 8 sinθ, and du = 8 cosθ dθ. The limits of integration will also change accordingly.

When u = -3, 5 + 8 sinθ = -3, giving us sinθ = -8/8 = -1. This corresponds to θ = -π/2.

When u = -2, 5 + 8 sinθ = -2, giving us sinθ = -7/8. This corresponds to θ = -π/7.

The integral after substitution becomes:

∫ [(-π/2) to (-π/7)] ((5 + 8 sinθ)^2 - 10(5 + 8 sinθ) + 25) / (-(8 sinθ)^2 - 8^2)^(3/2) (8 cosθ) dθ.

This can be simplified further by expanding and simplifying the numerator and denominator of the integrand. After evaluating the integral, the final result can be obtained.

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

423

Step-by-step explanation:

The probability that the mean is less than 1,998 milliliters is 0.11%

To solve this problem, it is important to understand the normal probability distribution and the central limit theorem

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean μ and standard deviation σ , the z-score of a measure X is given by:

Z = (X -μ) / σ

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p value, we get the probability that the value of the measure is greater than X.

Central Limit theorem

The Central Limit Theorem establishes that, for a random variable X, with mean  and standard deviation σ, a large sample size can be approximated to a normal distribution with mean μ and standard deviation δ = σ /√n

In this problem, we have that:

μ = 2000, σ = 18

If the manufacturer samples 100 bottles, what is the probability that the mean is less than 1998 milliliters

So n =100,

δ=18/√100 = 1.8

This probability is the p value of Z when X = 1998. So

Z = (X -μ) / σ

By the Central Limit Theorem

Z = (X -μ) /δ

Z = (1998 -2000) / 1.8

Z = -1.11 has a p-value of 0.0011

So, 0.11% probability that the mean is less than 1998 milliliters.

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Answer:

4.8 sheets of paper

Step-by-step explanation:

You just need to divide 120 by 25 students. The reason for that is because you need to find out how much *each* student has.

120/25 = 4.8

As a fraction

Mixed = 4 4/5

Improper = 24/5

The unit rate is any of these answers! Don't forget your units :)

Both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².

To determine which arrangement of the four juice boxes uses the least amount of plastic wrap, we need to consider the total surface area that needs to be covered in each arrangement.

Arrangement 1:

In this arrangement, we can place the four juice boxes in a 2x2 square configuration, with two boxes stacked horizontally and two boxes stacked vertically. Let's calculate the total surface area to be covered:

Surface area of a single box = 2(lw) + 2(lh) + 2(wh)

= 2(107) + 2(105) + 2(7*5)

= 140 + 100 + 70

= 310 cm²

Since we have four boxes in this arrangement, the total surface area to be covered is:

Total surface area = 4 * 310 cm²

= 1240 cm²

Arrangement 2:

In this arrangement, we can stack the four juice boxes in a single column, one on top of the other. Let's calculate the total surface area for this arrangement:

Surface area of a single box is the same as in the previous arrangement:

Surface area of a single box = 310 cm²

Since we have four boxes stacked vertically, the total surface area to be covered is:

Total surface area = 4 * 310 cm²

= 1240 cm²

Therefore, both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².

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Answer:

b < 16.5

Step-by-step explanation:

b - 9.5 + 9.5 < 7 + 9.5

b <  16.5

hope this helped :D

The angle between the given vectors is 52 degrees.

We are given two vectors and we have to find the angle between these two vectors. The vectors given are a = 4i - 3j +k and b = 2i - k. The angle between two vectors a and b is calculated by using the following formula;

cos θ = \(\frac{a.b}{|a|.|b|}\)

We will calculate the value of a.b = (4i - 3j +k)(2i + 0j -k)

a.b = 4(2) + (-3)(0) + 1(-1)

= 8 + 0 - 1

= 7

Now, we will calculate the value of |a|

= |4i - 3j + k|

= \(\sqrt{(4)^2 + (-3)^2 + (1)^2}\)

= \(\sqrt{16 + 9 + 1}\)

= \(\sqrt{26}\)

Calculate the value of |b|

=  |2i + 0j - k|

= \(\sqrt{(2)^2 + (0)^2 + (-1)^2}\)

= \(\sqrt{4 + 0 + 1}\)

= \(\sqrt{5}\)

Substitute the values of a.b, |a|, and |b| in the formula.

cos θ = \(\frac{7}{\sqrt{26\sqrt{5} } }\)

cos θ = \(\frac{7}{\sqrt{130} }\)

θ = \(cos^{-1} (\frac{7}{\sqrt{130} })\)

θ = 52 .1\(2^\circ\)

θ = 5\(2^\circ\)

Therefore, the angle between the given vectors is 52 degrees after approximating to the nearest degree.

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The complete question is "Find the angle between the vectors. (First, find an exact expression and then approximate it to the nearest degree.)

a = 4i - 3j + k

b = 2i - k "

Answer:

the given expression is equivalent to

Step-by-step explanation:

\(2(x - 3) {}^{2} \\ 2( {x}^{2} - 2.x.3 + {3}^{2} ) \\ using \: formula \: (x - y) {}^{2} = x {}^{2} - 2.x.y + y {}^{2} \\ 2(x {}^{2} - 6x + 3) \\ 2 {x}^{2} - 12x + 6\)

Answer:

5

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

5 + 2v =

5 + 2(0) =

5 + 0 =

5

Answer:

t = 75

Step-by-step explanation:

Step 1: Write equation

-15 + t = 60

Step 2: Solve for t

Add 15 to both sides: t = 75

Step 3: Check

Plug in t to verify it's a solution.

-15 + 75 = 60

60 = 60

Answer:

t= 75

Step-by-step explanation:

15-75=60

i hope this helps

The distance from the bird to the top of the tree is 61.95 feet.

We have,

Angle of elevation to the top of the tree: 38 degrees.

Angle of elevation to the bird: 60 degrees.

Distance from the base of the tree to your position: 84 feet.

Let the distance from the bird to the top of the tree as 'x'.

Using Trigonometry

tan(38) = height of the tree / 84

height of the tree = tan(38) x 84

and, tan(60) = height of the tree / x

x = height of the tree / tan(60)

Substituting the value of the height of the tree we obtained earlier:

x = (tan(38) x 84) / tan(60)

x ≈ 61.95 feet

Therefore, the distance from the bird to the top of the tree is 61.95 feet.

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The area of the bounded region is 946.46 square units (rounded to two decimal places).

To find the area of the region bounded by the curves, we need to find the points of intersection between the curves.

Setting the two equations equal to each other gives:

110x² = x

Simplifying:

110x² - x = 0

Factor out x:

x(110x - 1) = 0

Solve for x:

x = 0 or x = 1/110

So the two curves intersect at x=0 and x=1/110.

To find the area, we integrate y=110x² from x=-4 to x=1/110 and y=x from x=1/110 to x=8.

∫(110x²) dx from x=-4 to x=1/110 + ∫x dx from x=1/110 to x=8

= (110/3)(1/110)³ - (-4)(110) + (1/2)(8²) - (1/2)(1/110)²

= 946.46 square units (rounded to two decimal places)

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Answer:

4:3 because 20 divided by 5 is 4 and 15 divided by 5 is 3.

a) A. limx→9−f(x) = -∞. b) B. The limit does not exist and is neither −∞ nor ∞. c) A. limx→9f(x) = -∞.

a) To find the limit as x approaches 9 from the left (9-), we substitute the value of x into the function:

lim(x→9-) f(x) = lim(x→9-) (x^2 - 8x - 9) / (x - 9)

If we directly substitute x = 9, we get an indeterminate form of 0/0. This suggests that further simplification is needed. We can factor the numerator:

lim(x→9-) f(x) = lim(x→9-) [(x + 1)(x - 9)] / (x - 9)

Notice that (x - 9) appears in both the numerator and the denominator. We can cancel it out:

lim(x→9-) f(x) = lim(x→9-) (x + 1)

Now we can substitute x = 9:

lim(x→9-) f(x) = lim(x→9-) (9 + 1) = lim(x→9-) 10 = 10

Therefore, the limit as x approaches 9 from the left is 10.

b) To find the limit as x approaches 9 from the right (9+), we again substitute the value of x into the function:

lim(x→9+) f(x) = lim(x→9+) (x^2 - 8x - 9) / (x - 9)

Similar to part (a), if we directly substitute x = 9, we get an indeterminate form of 0/0. We can factor the numerator:

lim(x→9+) f(x) = lim(x→9+) [(x + 1)(x - 9)] / (x - 9)

Canceling out (x - 9):

lim(x→9+) f(x) = lim(x→9+) (x + 1)

Substituting x = 9:

lim(x→9+) f(x) = lim(x→9+) (9 + 1) = lim(x→9+) 10 = 10

Therefore, the limit as x approaches 9 from the right is 10.

c) To find the overall limit as x approaches 9:

lim(x→9) f(x) = lim(x→9-) f(x) = lim(x→9+) f(x) = 10

The left-hand and right-hand limits are equal, so the overall limit as x approaches 9 is 10.

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209 went to the first game.

192+17=209

Happy to help.

Answer:

english pls :)

Step-by-step explanation: