Today, the waves are crashing onto the beach every 4.7 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.7 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 4.2 seconds after the person arrives is P(x = 4.2) - d. The probability that the wave will crash onto the beach between 0.3 and 3.8 seconds after the person arrives is P(0.3 2.74)- f. Suppose that the person has already been standing at the shoreline for 0.7 seconds without a wave crashing in. Find the probability that it will take between 0.9 and 1.3 seconds for the wave to crash onto the shoreline. g. 11% of the time a person will wait at least how long before the wave crashes in? seconds. h. Find the minimum for the upper quartile. seconds.

Answer:

165

Step-by-step explanation:

x² + 8x + 12 =

= (9)² + 8(9) + 12

= 81 + 72 + 12

= 153 + 12

= 165

Answer:

-165

Step-by-step explanation:

(-9)2+8×-9+12

-81-72+12

-81-84

-165 answer.

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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Answer:

no the triangles are not similar.

Step-by-step explanation:

Answer:

that's 3 -² which is -9 ......

3^2/3^4

3^2 = 9

3 x 3 = 9

3 x 3 x 3 x 3

9 x 9 = 81

3 x 3 = 9 x 3 = 27 x 3 = 81

3^4 = 81

9/81 = 9

Let me know if this is the correct answer. :)

The solution to the initial-value problem dy/dx + P(x)y = e^x, y(0) = -4 is:

y(x) = \(\frac{e^x}{2} -\frac{9}{2e^x}\)   ; 0 ≤ x < 1

      = xe^x + Ce^x;   x ≥ 1

Here, the initial-value problem is dy/dx + P(x)y = e^x, y(0) = -4

for 0 ≤ x < 1,

P(x) = 1

So, the differential equation would be,

dy/dx + y = e^x

for which the solution is:

y(x) = (e^x / 2) + C / e^x

where C is constant

The initial value of differential equation is: y(0) = -4

y(0) = (e^0 / 2) + C / e^0

-4 = (1/2) + C

C = -4 - 1/2

C = -9/2

So, we get the solution y(x) = (e^x / 2) -9 / 2e^x

For x ≥ 1,

P(x) = -1

So, the differential equation would be,

dy/dx - y = e^x

for which the solution is: y(x) = xe^x + Ce^x

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The complete question is:

Solve the given initial-value problem.

dy/dx + P(x)y = e^x, y(0) = −4, where

P(x) = 1, 0 ≤ x < 1

       = -1, x ≥ 1

The correct size of the distance matrix for a multivariate data set with 25 subjects and 7 variables is 25 x 25.

Understanding the many objectives and histories of the various types of multivariate analysis, as well as how they connect to one another, is the focus of multivariate statistics.

The distance matrix contains the pairwise distances between all pairs of subjects in the dataset, and therefore has the same number of rows and columns as the number of subjects in the dataset. Since there are 25 subjects in this dataset, the distance matrix will have 25 rows and 25 columns.

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Answer:

It’s 36 by 78 tennis court

width = 36 ft.

length = 78 ft.

Step-by-step explanation:

2(w+2w+6)=228 feet

2w+4w+12=228

6w=228-12

6w=216

w=36

So, 2w+6=78

It’s 36 by 78 tennis court

width = 36 ft.

length = 78 ft.

The dimensions of the tennis court can be determined by solving the equation system: width (w) = 42 feet and length (l) = 96 feet.

To find the dimensions of the tennis court, we can set up a system of equations based on the given information:

Equation for the perimeter:

The perimeter of a rectangle is given by the formula:

P = 2(length + width).

In this case,

228 = 2(l + w)

Equation relating length and width: It is stated that the width (w) is equal to the length (l), which can be expressed as:

w = l

To solve the system of equations:

Substitute the value of l from the second equation into the first equation:

\(228 = 2((2w + 6) + w)\)

Simplifying the equation:

\(228 = 2(3w + 6)\)

Divide by 2 on both sides

\(114 = 3w + 6\)

Subtract by 6 on both sides

\(108 = 3w\)

Divide by 3 on both sides

\(w = 36\)

Substituting the value of w back into the second equation:

\(l = 36\)

Therefore, the width of the tennis court is 36 feet, and the length is 96 feet.

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If the p-value is smaller than α, we reject the null hypothesis; otherwise, we fail to reject it.

To approximate the p-value, we use the t-distribution because the population variance is unknown.

(a) t0 = 2.05:

To calculate the p-value, we need to find the area under the t-distribution curve beyond the test statistic in both tails. Since our alternative hypothesis (H1) is μ ≠ 7, we need to consider both tails of the distribution.

Using a t-table or statistical software, we can find the p-value associated with t0 = 2.05 and degrees of freedom = 19. Let's assume the p-value is P1.

P-value for t0 = 2.05 (P1) = 2 * (1 - P(Z < |t0|)), where P(Z < |t0|) is the cumulative probability of the standard normal distribution at |t0|.

Note: Since we have a two-tailed test, we multiply the probability by 2 to account for both tails.

(b) t0 = -1.84:

Similarly, for t0 = -1.84, we calculate the p-value by finding the area under the t-distribution curve beyond the test statistic in both tails. Since our alternative hypothesis (H1) is μ ≠ 7, we consider both tails.

Using a t-table or statistical software, we can find the p-value associated with t0 = -1.84 and degrees of freedom = 19. Let's assume the p-value is P2.

P-value for t0 = -1.84 (P2) = 2 * P(Z < |t0|)

(c) t0 = 0.4:

For t0 = 0.4, we calculate the p-value in a similar manner as before, considering both tails of the t-distribution.

Using a t-table or statistical software, we can find the p-value associated with t0 = 0.4 and degrees of freedom = 19. Let's assume the p-value is P3.

P-value for t0 = 0.4 (P3) = 2 * P(Z > |t0|)

Once you have the p-values (P1, P2, and P3) for each test statistic, you can compare them to the significance level (α) chosen for the hypothesis test. The significance level represents the threshold below which we reject the null hypothesis.

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Complete Question:

For the hypothesis test H0: μ = 7 against H1: μ ≠ 7 with variance unknown and n = 20, approximate the P-value for each of the following test statistics. (a) t0 = 2.05 (b) t0 = − 1.84 (c) t0 = 0.4

We found that 200 adult tickets and 125 children tickets were sold.

The system of equations:

 x + y = 325    ......(i)

9x + 7y = 2675   .......(ii)

In equation (i),

We know that x and y represent the number of adult and children tickets sold, respectively.

We also know that the total number of tickets sold was 325, so that's where the first equation comes from.

In equation(ii), we know that the total receipts for the day were $2675. We also know that the theater charges $9.00 for adult tickets and $7.00 for children's tickets.

So, we can use that information to write the second equation.

Now, we need to solve the system of equations.

There are different methods we can use, but I'll use substitution.

We can solve equation (i) for y:

y = 325 - x

Then, we can substitute that expression for y into equation (ii):

9x + 7(325 - x) = 2675

Simplifying and solving for x, we get:

2x + 2275 = 2675

2x = 400

x = 200

So, 200 adult tickets were sold.

We can use equation 1 to find out how many children's tickets were sold:

y = 325 - x

y = 325 - 200

y = 125

Therefore, 125 children's tickets were sold.

To recap, the system of equations we needed to solve was:

x + y = 325

9x + 7y = 2675

Using substitution, we found that 200 adult tickets and 125 children tickets were sold.

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Answer:

thats easy just.......

Step-by-step explanation:

75% is percentage of undergraduate students are between 36 and 52 years old.

What is percentage and example?

This would be true if k=3, but k=2

because (36-44)/4 = -2 and (52-44)/4 = 2

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Answer:

  5, 7, 9

Step-by-step explanation:

You want three consecutive positive odd integers such that the square of the smallest exceeds twice the largest by 7.

Let x represent the middle of the integers. Then x-2 is the smallest, and x+2 is the largest. The given relation is ...

  (x -2)² -2(x +2) = 7

Eliminating parentheses gives ...

  x² -4x +4 -2x -4 = 7

  x² -6x -7 = 0 . . . . . . . . . subtract 7, simplify

  (x -7)(x +1) = 0 . . . . . . . factor

Values of x that make the factors zero are solutions to this equation:

  x -7 = 0   ⇒   x = 7

  x +1 = 0   ⇒   x = -1

The positive odd numbers are 5, 7, 9.

__

Check

5² -2(9) = 25 -18 = 7 . . . . as required

Answer:

the answer is B

Step-by-step explanation:

In terms of symbols, we would write \(x > 0\)

The natural log function, or any log function, is not defined for x = 0 or any negative x value.

Consider the form \(\log_b(y) = x\) which is equivalent to \(y = b^x\) and notice how the y value slowly approaches zero but never actually gets there. That is one way to see why the inputs of any log function must be larger than 0.

Answer:

1/6 probability

Step-by-step explanation:

He only got one even number out of 6 attempts, so its a one in six 1/6.

The length of pedestrian path that runs diagonally is 15.811 miles .

Given,

Length = 15 miles

Breadth = 5 miles .

Now,

According to pythagoras theorem,

P² + B² = H²

P = perpendicular

B = base

H = hypotenuse.

Substitute the value in the formula of pythagoras theorem,

15² + 5² = H²

225 + 25 = H²

H = √250

H = 15.811 miles

Thus the length of diagonal is 15,811 ,iles .

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Answi tride so hard i dont know but i wish you luck

Step-by-step explanation:

Step-by-step explanation:

Answer: Celine, 4092 ml

Step-by-step explanation:

Given

1 bottle contains 341 ml Juice

Celine buys 2 cases of 24 bottles i.e. a total of 48 bottles

Nicole buys 3 cases of 12 bottles i.e. a total of 36 bottles

Amount of Juice Celine has

\(\Rightarrow 48\times 341=16,368\ ml\)  

Amount of Juice Nicole has

\(\Rightarrow 36\times 341=12,276\ ml\)

Thus, Celine has more juice than Nicole

\(\Rightarrow 16,368-12,276=4092\ ml\)

Celine has 4092 ml more than Nicole

Multiplication expression used is 16 ×\(\frac{5}{4}\).

A number that when multiplied by a number x results in the multiplicative identity, 1, is known as a multiplicative inverse or reciprocal, indicated by 1/x or x1. A fraction a/b has a multiplicative inverse of b/a. Divide 1 by the real number to obtain the multiplicative inverse of the number. When a number is multiplied by its original number, the multiplicative inverse of that number, or x-1, produces a value equal to 1. The multiplicative inverse of 2, for instance, is 2-1 since it fulfils the formula: 2 x 2-1

2 x \(\frac{1}{2}\)= 1. It is also known as a number's reciprocal.

Given Data

16 ÷ \(\frac{4}{5}\)

Reciprocating,

16 × \(\frac{5}{4}\)

Simplifying,

4(5)

20

Multiplication expression used is 16 ×\(\frac{5}{4}\)

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Answer:

90 square feet

Step-by-step explanation:

area of rectangle = 12 X 30 = 360 square feet

look at the green triangle in top left. it has area 0.5 X (12 - 3) X (30)

= 0.5 X 9 X 30 = 135

area of other green triangle is equal (they are congruent)

so, the area of the path is 360 - 2 (135) = 360 - 270 = 90 square feet

Answer:

D. 10x-20

Step-by-step explanation:

The perimeter is just all four sides added together

(3x-2)+(3x-2)+(2x-8)+(2x-8)

add together like terms

3x+3x+2x+2x=10x

-2+-2+-8+-8=-20

write in order

10x-20

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Answer:

The answer is = 1.3c−4.7

Step-by-step explanation:

When you add these two expressions (5.2c-7.35) + (-3.9c+2.65) you get that answer

Answer:

The multiplication property of equality was not performed correctly.

Step-by-step explanation:

You are supposed to divide by 3 instead of multiplying by 1/3.

Answer:

now you see 3x-2=9 if x was 5 then it would 15-2 which is 13. so the person did not check the multipulcation to see if it worked out.

Step-by-step explanation: so the answer is A

Answer:

\(x=77\)

Step-by-step explanation:

103 -x + 2x = 180

Answer:

1/3 is the slope

Step-by-step explanation:

Use this formula \(\frac{y2 - y1}{x2 - x1}\)

Plug in (-1, -6) and (5, -4)

\(\frac{-4 - -6}{5 - -1} = \frac{2}{6}/2 = \frac{1}{3}\)

Hope this helps ya!!!

Answer:

19.6349540849

Step-by-step explanation:

π × 2.5^2 = 19.6349540849

The area of the canvas which was covered by the red rose is 333 square inches.

Width of the canvas = 30 inches

Length of the canvas = 37 inches

Area of the canvas = length × width

= 30 × 37

= 1110 square inches

If the painted red rose covered 30% of the painting

Area of the canvas which was covered by the red rose = 30% × 1110

= 0.3 × 1110

= 333 square inches

In conclusion, 333 square inches of the canvas is covered by the red rose.

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Answer:

is that the ixl

website ????????????????????????????????

The parametric equations for the motion of the particle are:

x(t) = 10 cos(2πt/9)

y(t) = 10 sin(2πt/9)

Here, t represents time in seconds, and 2π/9 represents the angular speed of the particle, since it completes one revolution every 9 seconds. The radius of the circle is 10, which is used in the equations for the x and y coordinates of the particle's position at any given time t.

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