what is 5x+19-2(x-7)=5 (2x+5)+22

Power is defined as the probability of rejecting H₀ if H₀ is false the probability of accepting H₁ if H₁ is true.

Power, in the context of statistical hypothesis testing, refers to the ability of a statistical test to detect a true effect or alternative hypothesis when it exists.

It is the probability of correctly rejecting the null hypothesis (H₀) when the null hypothesis is false, or the probability of accepting the alternative hypothesis (H₁) if it is true.

A high power indicates a greater likelihood of correctly identifying a real effect, while a low power suggests a higher chance of failing to detect a true effect. Power is influenced by factors such as the sample size, effect size, significance level, and the chosen statistical test.

The question should be:

Power is defined as ______. the probability of rejecting H₀ if H₀ is false the probability of accepting H₁ if H₁ is true

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Answer:

Step-by-step explanation:

Answer:

Baritone/Euphonium

Trumpet

Tuba

Trombone

Good luck!!

The area in square inches that makes up half of the cookie cake is 615.44 square inches.

Given that the diameter of the circular cookie cake is 14 inches. The area of a circle is given as πr², here r is the radius of the circle.
The area of the half of the cookie cake is:

Area of the half of the cookie cake = π × r²

                                                          = π × (14 inches)²

                                                          = π × (14 inches)²

                                                          = 615.44 square inches

Hence, the area is 615.44 square inches.

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Answer:

4 am for me you probably live somewhere in america though

Answer: 15 feet

Step-by-step explanation: i said 15 feet so it's probably 15 feet

First you will get 4dz

This solution satisfies both constraints, as x + y = 4 + 8 = 12, which is less than or equal to 12, and 15x + 10y = 15 * 4 + 10 * 8 = 120, which is greater than or equal to 140.

What is inequality?

In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality. ' So, a lack of balance results in inequality.

We can write the first inequality as x + y <= 12

This inequality represents the constraint that Mav can work at most 12 hours in total between both jobs.

The second inequality represents the constraint that Mav must earn no less than $140 in a given week, which can be written as:

15x + 10y >= 140

To graph the system of inequalities, we can plot the lines corresponding to x + y = 12 and 15x + 10y = 140 on the coordinate plane and shade the region that satisfies both inequalities.

The solution to the system of inequalities will be the values of x and y that lie in the shaded region.

One possible solution is x = 4 and y = 8, which means that Mav works 4 hours of lifeguarding and 8 hours of landscaping in a given week, earning a total of 15 * 4 + 10 * 8 = $120.

Hence, This solution satisfies both constraints, as x + y = 4 + 8 = 12, which is less than or equal to 12, and 15x + 10y = 15 * 4 + 10 * 8 = 120, which is greater than or equal to 140.

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Answer:

Step-by-step explanation:

You want inequalities, their graph, and a possible solution satisfying Mav's requirement for at most 12 total hours spent lifeguarding at $15 per hour and landscaping at $10 per hour, with an income of at least $140.

The required relations can be written ...

  x + y ≤ 12 . . . . . . . total hours

  15x +10y ≥ 140 . . . . total earnings

The inequalities need to be solved for y to match the answer format requirements.

  inequality 1: y ≤ 12 -x . . . . . . . . . . subtract x

  inequality 2: y ≥ 14 -1.5x . . . . . . divide by 10, subtract 1.5x

The attached graph shows a couple of possible solutions. The solution space is the doubly-shaded area bounded by vertices ...

  (4, 8), (12, 0), and (9 1/3, 0)

Mav will make the most money working 12 hours lifeguarding (x, y) = (12, 0).

She can just meet her income requirements by working 8 hours lifeguarding and 2 hours landscaping (x, y) = (8, 2).

One possible solution is 4 hours lifeguarding and 8 hours landscaping.

Answer:

the first one is m, the second one is 5

Answer:

m and 5

Step-by-step explanation:

variable=the letter

m

coefficient= the number before the letter

5

Answer:

-5

Step-by-step explanation:

We can see two points that the line intersects:

(0,2) and (1,-3)

‘From that we can find the slope:

\(\frac{y_2-y_1}{x_2-x_1} = \frac{-3-2}{1-0} = \frac{-5}{1} = -5\)

So, A.

:)

Answer:

-5

Step-by-step explanation:

Fast and loose: it's a negative number, since the line is decreasing, and it's decreasing faster than the diagonal of the II-IV quadrant (y=-x) so it's a number less than -1. Slope it's thus -5 or close to it.

More rigorous: start counting the squares. A slope of \(\frac ab\) tells you that every time you move vertically by a squares, you moved horizontally by b squares. Here to advance from 0 to 1 you went down from 2 to -3, ie you subtracted 5. Slope is -5

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Answer:  1 liter of milk

Explanation:

10 x .1 = 1

I hope this helped!

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Answer:

m = -11/5

Step-by-step explanation:

\(\frac{5m+13}{2} = 1\)

5m+13 = 2

5m = -11

m  = -11/5

Answer:

Step-by-step explanation:

5m+13=1

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

2

5m=-11

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

2

X=-11/5

The correct expression for g(t) to which the integral is transformed is: g(t) = 1/2 * sin(t - 3/2).

To transform the integral ∫sin(x - 2) dx into a new variable, we can use the substitution method. Let's assume that u = x - 2, which implies x = u + 2. Now, we need to find the corresponding expression for dx.

Differentiating both sides of u = x - 2 with respect to x, we get du/dx = 1. Solving for dx, we have dx = du.

Now, we can substitute x = u + 2 and dx = du in the integral:

∫sin(x - 2) dx = ∫sin(u) du.

The integral has been transformed into an integral with respect to u. Therefore, the correct expression for g(t) is: g(t) = sin(t - 2).

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The probability that at least 5 of them started smoking before 21 years of age is 0.9997.2. The probability that at most 11 of them started smoking before 21 years of age is 0.9982.3. The probability that exactly 13 of them started smoking before 21 years of age is 0.000006.

(1) The probability that at least 5 of them started smoking before 21 years of age isThe probability of at least 5 smokers out of 14 to start smoking before 21 is the probability of 5 or more smokers out of 14 smokers who started smoking before 21.  Using the complement rule to find this probability: 1-P(X≤4) =1-0.0003

=0.9997Therefore, the probability that at least 5 of them started smoking before 21 years of age is 0.9997.

(2) The probability that at most 11 of them started smoking before 21 years of age isThe probability of at most 11 smokers out of 14 to start smoking before 21 is the probability of 11 or fewer smokers out of 14 smokers who started smoking before 21. Using the cumulative distribution function of the binomial distribution, we have:P(X ≤ 11) = binomcdf(14,0.9,11)

=0.9982

Therefore, the probability that at most 11 of them started smoking before 21 years of age is 0.9982.(3) The probability that exactly 13 of them started smoking before 21 years of age isThe probability of exactly 13 smokers out of 14 to start smoking before 21 is:P(X = 13)

= binompdf(14,0.9,13)

=0.000006Therefore, the probability that exactly 13 of them started smoking before 21 years of age is 0.000006.

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Answer:

4

Step-by-step explanation:

Mark me brainleist please!

Therefore, the vector form of the equation y = x² - 8x + 15 is y = (x - 4)² + 14. The vertex of the parabola is at the point (4, 14).

To convert the quadratic equation y = x² - 8x + 15 from standard form to vertex form, we need to complete the square by adding and subtracting a constant term. Here's the step-by-step explanation:

Factor the coefficient of x²: The coefficient of x² is 1, so we don't need to factor it.

Group the x terms: Rewrite the quadratic equation as y = (x² - 8x) + 15.

Complete the square: To complete the square, we need to add and subtract a constant term that will make the expression inside the parentheses a perfect square trinomial. The constant we need to add is half of the coefficient of x, squared: (8/2)² = 16.

y = (x² - 8x + 16 - 16) + 15 // add and subtract 16

y = (x - 4)² - 1 + 15 // factor and simplify

Simplify: Now we can simplify the expression by combining the constants -1 and 15 to get 14.

y = (x - 4)² + 14

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Answer:

hshwhwwjwjejiweuhwhwgegeehhwwh

Step-by-step explanation:

722736171882+3(3836272738494+sjsnneennenenebdxjjxdjndndfndnfnfndbrnrjdjdjejejejejejejejehdhdheehehehdhdhdhd273736362727373373747273737372737373737

1) The solution to the right triangle is:

Angle A ≈ 50°

Angle B = 40°

Angle C = 90°

Side a = 8

Side b ≈ 5.13

2)The solution to the oblique triangle is:

Angle A is determined by sin(A)/11 = sin(50°)/c

Angle B ≈ 40°

Angle C = 50°

Side a = 11

Side b = 5

Side c ≈ 10.95

1) To solve the right triangle, we are given that one angle is 40° and the length of one side, which is a = 8. We can find the remaining side lengths and angles using trigonometric ratios.

Using the sine function, we can find side b:

sin(B) = b/a

sin(40°) = b/8

b = 8 * sin(40°)

b ≈ 5.13

To find the third angle, we can use the fact that the sum of angles in a triangle is 180°:

m∠A = 180° - m∠B - m∠C

m∠A = 180° - 90° - 40°

m∠A ≈ 50°

So, the solution to the right triangle is:

Angle A ≈ 50°

Angle B = 40°

Angle C = 90°

Side a = 8

Side b ≈ 5.13

2) To solve the oblique triangle, we are given the measures of two angles, m∠C = 50° and side lengths a = 11 and b = 5. We can use the Law of Sines and Law of Cosines to find the remaining side lengths and angles.

Using the Law of Sines, we can find the third angle, m∠A:

sin(A)/a = sin(C)/c

sin(A)/11 = sin(50°)/c

c = (11 * sin(50°))/sin(A)

To find side c, we can use the Law of Cosines:

c² = a² + b² - 2ab * cos(C)

c² = 11² + 5² - 2 * 11 * 5 * cos(50°)

c ≈ 10.95

To find the remaining angle, m∠B, we can use the fact that the sum of angles in a triangle is 180°:

m∠B = 180° - m∠A - m∠C

m∠B ≈ 180° - 50° - 90°

m∠B ≈ 40°

So, the solution to the oblique triangle is:

Angle A is determined by sin(A)/11 = sin(50°)/c

Angle B ≈ 40°

Angle C = 50°

Side a = 11

Side b = 5

Side c ≈ 10.95

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Answer:

X= -1

Step-by-step explanation:

2x+5=1(x+4)

2x+5=1x+4

2x-1x=-5+4

x=-1

a) The probabilities for X = 0, 1, 2, and 3, and then summing them up, we find that P(X > 3) ≈ 0.019. b) The probability of zero successes is approximately 0.430. c) The length of an interval of time is 1.306 hours.

a) The time between arrivals of small aircraft is exponentially distributed with a mean of one hour. To find the probability that more than three aircraft arrive within an hour, we will use the Poisson distribution, where λ (lambda) represents the average number of arrivals per hour, which is 1 in this case. The probability formula is P(X > 3) = 1 - P(X ≤ 3), where X is the number of arrivals. Using the Poisson formula, we get:

P(X > 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

Calculating the probabilities for X = 0, 1, 2, and 3, and then summing them up, we find that P(X > 3) ≈ 0.019.

b) To find the probability that no interval contains more than three arrivals in 30 separate one-hour intervals, we can use the binomial distribution. The probability of success (an interval with more than three arrivals) is 0.019 from part a), and the probability of failure (an interval with three or fewer arrivals) is 1 - 0.019 = 0.981. Using the binomial formula with n = 30 (number of intervals) and p = 0.981, we find the probability of zero successes (i.e., no interval with more than three arrivals) is approximately 0.430.

c) To determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.27, we use the exponential distribution formula:

P(T > t) = e^(-λt), where T is the waiting time between arrivals, t is the time interval, and λ is the average number of arrivals per hour (1 in this case).

We want to find the value of t such that P(T > t) = 0.27. So:

0.27 = e^(-1 * t)

Taking the natural logarithm of both sides, we get:

ln(0.27) = -t

Solving for t, we find that t ≈ 1.306 hours.

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The mean is 65.0646 and standard deviation is 39.082 when we can see the complete form of the table in the picture.

Given that,

As seen in the spreadsheet file P05 63.xlsx, two gamblers engage in a game of wheel-based roulette. Each gambler lays four bets, but each uses a different strategy, as will be seen later. Use the probabilities to determine the distribution of each gambler's net earnings after four bets. Then calculate their net wins' mean and standard deviation. You can get going with the file.

We have to find the mean and standard deviation.

We know that,

In the picture we can see the complete table.

Here, we calculated probability as,

For example take a first row

P(red=4, black=0, green=0) = (18/37)⁴ + 0 + 0 = 0.056

So the mean is 65.0646 and standard deviation is 39.082.

Therefore, The mean is 65.0646 and standard deviation is 39.082 when we can see the complete form of the table in the picture.

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By using a maclaurin series to obtain the maclaurin series for the given function is  F(x) = x cos(5x) = \(1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

To obtain the Maclaurin series for the function f(x) = x cos(5x), we need to write the Maclaurin series for cos(5x). The Maclaurin series for cos(x) is: \(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

Using this formula, we can substitute 5x for x and obtain the Maclaurin series for cos(5x): cos(5x) =\(1 - (5x)^2/2! + (5x)^4/4! - (5x)^6/6! + ...\)

\(= 1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

We can substitute this series into the original function f(x) = x cos(5x) and obtain its Maclaurin series: f(x) = x cos(5x)

\(= x[1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...]\)

\(= x - 25x^3/2! + 625x^5/4! - 15625x^7/6! + ...\)

This is the Maclaurin series for the function f(x) = x cos(5x). It is obtained by substituting the Maclaurin series for cos(5x) into the original function and simplifying the resulting series. Maclaurin series are useful for approximating functions using polynomials. By truncating the series after a certain number of terms, we can obtain a polynomial that approximates the original function to a certain degree of accuracy. The accuracy of the approximation depends on the number of terms in the series that are used. The more terms we include, the more accurate the approximation will be.

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(a). Name of internet service provider is categorical variable because it cannot be quantified or measured. It can be divided into different categories according to the service they provide.

A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.

Measurement scale used for determination is nominal scale, also called the categorical variable scale.

(b). Time in hours, spent surfing the internet per week is continuous numerical variable because time can be measured over an infinite number of real values within a given interval.

A variable is said to be continuous if it can assume an infinite number of real values within a given interval.

Measurement scale used for determination is ratio scale.

(c). Whether the individual uses a mobile phone to connect to the internet is categorical variable because the answer can only be yes or no and it cannot be measured numerically.

A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.

Measurement scale used for determination is nominal scale, also called the categorical variable scale.

(d). Number of online purchases made in a month is discrete numerical variable because it is a value that arises through a counting process.

A discrete quantitative variable is one that can only take specific numeric values (rather than any value in an interval), but those numeric values have a clear quantitative interpretation.

Measurement scale used for determination is interval scale.

(e). Where the individual uses social networks to find sought -after information is categorical variable because the answer can only be yes or no and it cannot be measured numerically. It can be either he/she uses or he/she do not.

A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.

Measurement scale used for determination is nominal scale, also called the categorical variable scale.

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Answer:

do u have a photo u can upload ...

Step-by-step explanation:

Initial time = 4 minutes and 25 seconds

first improve = 13 seconds

second improve = 16 seconds

third improve = 8 seconds

First, we have to add all the improvements:

13+16+8 = 37 seconds

Then we have to subtract the result to the initial time:

4m 25 sec -37 sec =

Since 1 minute = 60 seconds

4 minutes x 60 = 240 seconds

240 + 25 sec = 265 seconds

4m 25 sec = 265 seconds

Back with the subtraction:

265 sec-37 sec = 228 seconds

Michaels best swimming time was 228 seconds.

To convert it into minutes:

228 /60 = 3.8 minutes