Can someone help with this?

Answer: The solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

Step-by-step explanation: Starting with the given equation:

-3e^(5w) = -88

Dividing both sides by -3:

e^(5w) = 88/3

Taking the natural logarithm of both sides:

ln(e^(5w)) = ln(88/3)

Using the property that ln(e^x) = x:

5w = ln(88/3)

Finally, solving for w by dividing both sides by 5:

w = (1/5)ln(88/3)

So the solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

It means that if you run your experiment again you have a good chance of finding no difference between average differences.

What is a confidence interval?

A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contains the parameter's true value is what is meant by the confidence level.

If zero is included in a confidence interval for paired data.

It means that if you rerun your experiment you have a good chance of finding no difference between groups.

When performing your statistical test, you will also see that the p-value in each of these situations is high, indicating that the null hypothesis—that there is no association between the variables or difference between the groups—could have produced the same findings.

Hence, finding no difference between average differences.

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Answer:

4 cups

Step-by-step explanation:

1 1/5 x 3 1/3 = 4

Answer:

20

Step-by-step explanation:

z + 4 = 3z

z - 3z = - 4

- 2z = - 4

z = - 4 / - 2

z = 2

3 - y = - 7

- y = - 7 - 3

- y = - 10

y = - 10

xy

= 2 * 10

= 20

Answer:

x = 180-35 = 145

y = 35

Hope it helps

The number of ways to choosing coins with at least 15 quarters and 20 dimes is 4354.

In the given question, if the pile contains only 15 quarters and only 20 dimes but at least 30 of each other kind of coin, then we have to find the collections of 30 coins can be chosen.

Number of coins only of quarters = 15

Number of coins only of dimes = 20

The number of ways to choosing coins with at least 15 quarters and 20 dimes= Total- \((^{18}C_{3}+^{13}C_{3})\)

The number of ways to choosing coins with at least 15 quarters and 20 dimes= \(^{33}C_{3}-(^{18}C_{3}+^{13}C_{3})\)

Using \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\)

The number of ways to choosing coins with at least 15 quarters and 20 dimes= \(\frac{33!}{3!(33-3)!}-(\frac{18!}{3!(18-3)!}+\frac{13!}{3!(13-3)!})\)

The number of ways to choosing coins with at least 15 quarters and 20 dimes= \(\frac{33!}{3!30!}-(\frac{18!}{3!15!}+\frac{13!}{3!10!})\)

Simplifying

The number of ways to choosing coins with at least 15 quarters and 20 dimes= \(\frac{33\times32\times31\times30!}{3\times2\times1\times30!}-(\frac{18\times17\times16\times15!}{3\times2\times1\times15!}+\frac{13\times12\times11\times10!}{3\times2\times1\times10!})\)

The number of ways to choosing coins with at least 15 quarters and 20 dimes= 11×16×31-(3×17×16+13×2×11)

The number of ways to choosing coins with at least 15 quarters and 20 dimes= 5456-(816+286)

The number of ways to choosing coins with at least 15 quarters and 20 dimes= 5456-1102

The number of ways to choosing coins with at least 15 quarters and 20 dimes= 4354

If the pile contains only 15 quarters and only 20 dimes but at least 30 of each other kind of coin, the number of ways to choosing coins with at least 15 quarters and 20 dimes is 4354.

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The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.

Given that,

The function is f(x)= (x-5)³(x+2)²

We have to find at which root does the graph function touch the x-axis.

We know that,

Mathematical calculus' core component is functions. The unique forms of relationships are the functions. When it comes to arithmetic, a function is represented as a rule that produces a different result for each input x.

Take the function

f(x) = (x-5)³(x+2)²

f(x) = 0 if a curve touches the x-axis.

⇒ (x - 5)³(x + 2)² = 0.

But if ab = 0

So, a=0 and b=0

⇒ (x - 5)³ = 0 and (x + 2)² = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x=5 and x=-2.

Therefore, The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.

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Answer:

1/2 and 13/18 respectively

Step-by-step explanation:

even-number results:

2, 4 6 ,8, 10 and 12

the combinations of each result are respectively

1+3+5+5+3+1 = 18

The total number of combinations on a roll pair is 36

then the probability of obtaining an even result is:

p = 18/36 = 1/2 or 0.5

so that the result is less than nine, we eliminate the combinations of results 9, 10, 11 and 12:

4 + 3 + 2 + 1 = 10

36 -10 = 26

the probability of obtaining a result less than nine is:

p = 26/36 = 13/18 or 0.72

Hope this helps

The exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

from the question:

This is the shape of the exponential function:

f(x) = a *\(b^x\)

where a represents the starting point and b represents the exponential function's base.

We must solve the system of equations to determine the values of a and b that meet the requirements:

a * \(b^(-1)\) = 2/5 (equation 1) 

a *\(b^3\)= 250 (equation 2) 

We can solve for an in equation 1 by multiplying both sides by b:

a = (2/5) * b

Substituting this expression into equation 2, we get:

(2/5) * b *\(b^3\) = 250

Simplifying, we get:

\(b^4 = 3125\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

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Answer:

2

Step-by-step explanation:

Average rate of change is

f(x2) - f(x1)

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

x2 -x1

We know x2 =2 and f(x2) = 5  

x1 = 1 and f(x1) = 3

Using the formula

5-3

-----------

2-1

2/1

2

The dimensions that maximize the area of the pen are 1250 meters parallel to the barn and 625 meters perpendicular to the barn on both sides.

To maximize the area of a rectangular pen built with one side against a barn, you must determine the optimal dimensions for the other three sides, given a fixed amount of fencing (2500 meters). Let's denote the length of the pen parallel to the barn as "x" meters and the length of the two other sides perpendicular to the barn as "y" meters each. Since we have 2500 meters of fencing, we can express this constraint as:

x + 2y = 2500

We need to maximize the area (A) of the pen, which is given by the product of its dimensions:

A = xy

To solve this problem, we can express "y" in terms of "x" using the constraint equation:

y = (2500 - x) / 2

Now, substitute this expression for "y" into the area formula:

A = x * (2500 - x) / 2

Simplifying the equation, we get:

A = -x^2 / 2 + 2500x / 2

To find the maximum area, we must determine the value of "x" that maximizes the function A(x). To do this, we take the derivative of A(x) with respect to x and set it equal to zero:

dA/dx = -x + 2500/2 = 0

Solving for "x," we find that x = 1250 meters. Using the constraint equation, we can calculate "y" as:

y = (2500 - 1250) / 2 = 625 meters

Thus, the dimensions are 1250 meters parallel to the barn and 625 meters perpendicular to the barn on both sides.

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The statement "when conducting a two-tailed test for the population proportion "p," we reject the null hypothesis if the hypothesized value falls outside the confidence interval" is false because confidence interval provides a range of plausible values for the population proportion.

A confidence interval provides a range of plausible values for the population proportion "p" based on the sample data. It quantifies the uncertainty associated with estimating the true proportion. Typically, a 95% confidence interval is used, which means that if we were to repeat the sampling process multiple times, we would expect 95% of the confidence intervals to contain the true population proportion.

When conducting a two-tailed test, we reject the null hypothesis if the hypothesized value (in this case, 0.5) falls outside the confidence interval. In other words, if the hypothesized value is not within the range of plausible values for the population proportion based on the confidence interval, we reject the null hypothesis.

The reason behind this is that if the hypothesized value falls within the confidence interval, it implies that the null hypothesis is still plausible. On the other hand, if the hypothesized value falls outside the confidence interval, it suggests that the null hypothesis is unlikely to be true, and we have evidence to support the alternative hypothesis.

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Answer:

($2.19,$2.39)

Step-by-step explanation:

khan

Based on this sample, the confidence interval which is closest to a 90%, for the mean price of gasoline that day in her state is ($2.19, $2.39).

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

When the sample size is less than 30, the formula which is used is,

\(\overline x\pm t.\dfrac{s}{\sqrt n}\)

Here, n is the sample size, \(\overline x\) is the sample mean, s is the standard deviation.

Economist, takes an SRS of 12 gas stations. The sample size for the given problem is 12,

\(n=12\)

Thus, degree of freedom,

\(df=12-1\\df=11\)

In the t table, for df 11, the value of t is 1.796.

An economist studying fuel costs wants to estimate the mean price of gasoline in her state on a certain day.

On that day, she takes an SRS of 12 gas stations and finds the sample mean price (in dollars per gallon) is,

\(\bar x=2.29\)

With a standard deviation of

\(s_x=0.20\)

Put the values in the above formula,

\(2.29\pm 1.796.\dfrac{0.20}{\sqrt 12}\\2.29\pm 0.1037\\2.29+0.1037=2.3937\\2.29- 0.1037=2.1863\)

Thus, based on this sample, the confidence interval which is closest to a 90%, for the mean price of gasoline that day in her state is ($2.19, $2.39).

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Answer:2(3-8y) =2(3−8y)=2, left parenthesis, 3, minus, 8, y, right parenthesis, equals.

Step-by-step explanation:

Answer:

6 - 16y

Step-by-step explanation:

Using the distributive property:

2(3 - 8y)

Multiply 3 and -8y by 2, as it lays outside of the parentheses.

2 x 3 = 6

2 x -8y = -16y

Combine them, and you get 6 - 16y

The exact area of the circle is 17π.  To determine the coordinates of the center of the circle, we need to rewrite the equation of the circle in the standard form (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the coordinates of the center and r represents the radius.

Given equation: x^2 + 2x + y^2 - 4y = 12

To complete the square for x, we add (2/2)^2 = 1 to both sides of the equation:

x^2 + 2x + 1 + y^2 - 4y = 12 + 1

(x + 1)^2 + y^2 - 4y = 13

To complete the square for y, we add (-4/2)^2 = 4 to both sides of the equation:

(x + 1)^2 + y^2 - 4y + 4 = 13 + 4

(x + 1)^2 + (y - 2)^2 = 17

Comparing this with the standard form, we can see that the center of the circle is (-1, 2).

The area of the circle can be calculated using the formula A = πr^2, where r is the radius. In this case, the radius can be found by taking the square root of the right side of the equation in standard form:

r = √17

Therefore, the exact area of the circle in terms of π is:

A = π(√17)^2 = 17π.

Hence, the exact area of the circle is 17π.

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Answer:

-3

Step-by-step explanation:

The answer is -3 because it is the number on the x-axis

Answer:

The price would be 7.20

Step-by-step explanation:

By using division, it can be calculated that

Coach Walker needs 15 boxes to fill the uniforms and 3 uniforms will be left over.

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This is a problem sum on division

Total number of uniforms = 153

Number of uniforms in one box = 10

Number of boxes he can fill = 153 \(\div\) 10

The quotient in this case is 15 and the remainder is 3

Coach Walker needs 15 boxes to fill the uniforms and 3 uniforms will be left over.

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Using the non-linear shooting method, the approximate solution for the given boundary-value problem y" = -yy' + y³, where 1.5 ≤ x ≤ 2, y(1) = 1/2, and y(2) = 1/3, is y(x) ≈ 1.1823, compared to the actual solution y(x) = 1/(x + 1) ≈ 0.4 for 1.5 ≤ x ≤ 2.

The non-linear shooting method is given below:

Given boundary-value problem: y" = -yy' + y³, where 1.5 ≤ x ≤ 2, y(1) = 1/2, and y(2) = 1/3.

We will use the non-linear shooting method with an accuracy of 10⁻¹.

Step 1: Guess an initial value for y'(1). Let's start with y'(1) = 1

Step 2: Solve the initial-value problem numerically using the guessed initial condition and a step size of h = 0.5. We will use a numerical method like Euler's method.

For each step, use the equations:

y[i+1] = y[i] + h * y'[i]

y'[i+1] = y'[i] + h * (-y[i] * y'[i] + y[i]³)

Iterating from x = 1 to x = 2 with a step size of h = 0.5:

Iteration 1:

x = 1, y = 1/2, y' = 1

x = 1.5, y = 1/2 + 0.5 * 1 = 1

x = 2, y = 1 + 0.5 * (-1 * 1 + 1³) = 1.25

Iteration 2:

Adjust the initial guess for y'(1) based on the error:

New guess for y'(1) = 1.5

Solve the initial-value problem again with the new guess:

x = 1, y = 1/2, y' = 1.5

x = 1.5, y = 1/2 + 0.5 * 1.5 = 1.25

x = 2, y = 1.25 + 0.5 * (-1.25 * 1.5 + 1.25³) = 1.1823

The approximate solution for the given boundary-value problem using the non-linear shooting method is y(x) ≈ 1.1823 for 1.5 ≤ x ≤ 2.

To compare with the actual solution y(x) = 1/(x + 1):

For x = 1.5, y = 1/(1.5 + 1) = 1/2.5 ≈ 0.4

For x = 2, y = 1/(2 + 1) = 1/3 ≈ 0.333

The actual solution is y(x) ≈ 0.4 for 1.5 ≤ x ≤ 2.

By comparing the approximate solution and the actual solution, we can assess the accuracy of the numerical method.

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The slope of the equation, given, is the pace at which a car enters a garage. Hence, it is 3.56, or around 4 automobiles per hour. Option D is the correct answer.

In statistics, a straight line of correlation between two variables is referred to as a linear relationship (or linear association). The mathematical equation y = mx + b can be used to represent linear relationships graphically.

Jamal is the owner of a parking garage and is attempting to determine the correlation between the number of automobiles in the garage and the hour of the day. He discovers that he can represent this using a linear relationship between 4 am and 10 am. y = 3.56x + 2 is the model's equation.

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The complete question of the above answer is

Jamal owns a parking garage and is trying to find the relationship between the hour of the day and the number of cars in the garage. He finds that between 4 am and 10 am he can model this with a linear relationship. The equation for this model is y = 3.96x + 2. About how many cars are entering the garage every hour?

A) 1

B) 2

C) 3

D) 4

Complete question:

Jason has two bags with 6 tiles each. The tiles in each bag are shown below:

1 2 3 4 5 6

Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 2 from the first bag and the tile numbered three from the second bag?

Answer: 1/36

Step-by-step explanation:

Number of tiles in each bag = 6

Probability of drawing tile numbered 2 from the first bag and the tile numbered 3 from the second

Probability of drawing number 2 from first bag :

P(numbered 2) = (required outcome / possible outcome)

P(numbered 2) = 1/6

Probability of drawing number 2 from first bag :

P(numbered 3) = 1/6

Since they are independent events :

P(drawing 2 from bag one and 3 from bag 2) :

1/6 × 1/6 = 1/36

Answer:

1. $3.84

2. $2. 30

Step-by-step explanation:

Answer: #1. $3.84     #2. $2.30

Step-by-step explanation:

24.00 x .16=3.84

23 x .10=2.30

Answer:

Step-by-step explanation:

yep

Answer:

Brainly is indeed the best thing ever?

Step-by-step explanation:

It has helped me so much furthering my educational ability. Not to mention the homework help.

Answer: The one on the bottom right.

Step-by-step explanation:

Symmetry is basically like a mirror. The line of symmetry is the exact point where it starts to reflect.

A symmetrical shape can also be folded onto itself equally.

Looking at the photo, the picture on the bottom right is the left part of the figure.

Answer:

60%

Step-by-step explanation:

The probability of drawing a white ball on the second draw, without replacing the first ball, is 8/13.

To solve this problem, we need to use conditional probability.

The probability of drawing a white ball on the first draw is 8/13 (since there are 8 white balls and 13 total balls in the urn).

If a white ball is drawn on the first draw, then there will be 7 white balls and 5 black balls left in the urn. So the probability of drawing a white ball on the second draw, given that a white ball was drawn on the first draw, is 7/12.

If a black ball is drawn on the first draw, then there will be 8 white balls and 4 black balls left in the urn. So the probability of drawing a white ball on the second draw, given that a black ball was drawn on the first draw, is 8/12.

Now we can use the law of total probability to find the overall probability of drawing a white ball on the second draw:

P(white on second draw) = P(white on first draw) * P(white on second draw | white on first draw) + P(black on first draw) * P(white on second draw | black on first draw)
= (8/13) * (7/12) + (5/13) * (8/12)
= 56/156 + 40/156
= 96/156
= 8/13

Therefore, the probability of drawing a white ball on the second draw, without replacing the first ball, is 8/13.

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