A dog walked 25 miles in 12.5 hours. Find the speed of the dog.

Answer:

0.000017x

I hope this is correct

The square root and cube root of the given expression are:  √(16) = 4 ,∛O = 0, √(1) = 1

To find the square root of an integer, you need to find a number that, when multiplied by itself, equals the original number. As such, you really want to distinguish the number that, when duplicated without anyone else, approaches 25, to decide the square foundation of that number. Subsequently, 5 is the square base of 25.

To determine the cube root of an integer, you must find a number that, when multiplied twice by itself, equals the original number.

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The estimate of the probability that he will hit at least 6 times in his next 10 attempts is given as follows:

80%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

An amateur golfer hits the ball 48% of the time he attempts, hence we round the probability to 50%, and have that the numbers are given as follows:

From the table, we have 20 sets of 10 attempts, and in 16 of them he hit at least 6 attempts, hence the probability is given as follows:

16/20 = 0.8 = 80%.

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With respect to the type of mapping between the plaintext alphabet and the ciphertext alphabet are:

Monoalphabetic substitution cipher with homophones

The correct option is (d)

Cryptographers often think in terms of the plaintext alphabet as being the alphabet used to write the original message, and the ciphertext alphabet as being the letters that are substituted in place of the plain letters.

With respect to the type of mapping between the plaintext alphabet and the ciphertext alphabet are:

Monoalphabetic substitution cipher with homophones

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Answer:

its is a

Step-by-step explanation:

EDGE 2021

Point A Represents (3,-5π/3). Option A is correct.

A pair of coordinates that identify a point's location in a plane; the first is the distance (r) from the point to the origin and the second is the angle (Θ) that this line makes with a fixed-line.

Point A Represents (3,-5π/3).

The radius of all the points from the center of the circle is 3 units.

The angle in the polar coordinate in the clockwise direction is taken as negative and the anticlockwise direction is positive.

The given angle is;

-5π/3

In order to get the position of the angle from the x-axis the angle should be added by 2π as;

Θ = 2π-5π/3

Θ = π/3

The angle is calculated clockwise. From the digrame point, A represents the angle  π/3.

Point A Represents (3,-5π/3).

Hence, option A is correct.

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Answer:

18 dollars

Step-by-step explanation:

well my teacher tought me to use something called a proportian box when you multiply the 60 * 210 equals 600 divided by 100 equals that 6 dollars of the interest then you multiply by 3 months with gives you 18 dollars in total

hope this helps

The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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Answer:

1. Given

2. Distributive Prop

3. Addition Prop

4. Division Prop

Step-by-step explanation:

Let's start by using the formula for the perimeter of a rectangle:

Perimeter = 2(length + width)

We know that the perimeter is 84 inches, so we can plug that in and simplify:

84 = 2(length + width)

42 = length + width

We also know that the length is 18 inches longer than the width, so we can use that information to write:

length = width + 18

Now we can substitute this into the equation we just derived:

42 = (width + 18) + width

42 = 2width + 18

24 = 2width

width = 12

So the width of the rectangle is 12 inches. We can use this to find the length:

length = width + 18

length = 12 + 18

length = 30

Therefore, the length of the rectangle is 30 inches.

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The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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False.

If A is a 5×4 matrix and B is a 4×3 matrix, then the entry of AB in the 3rd row / 2nd column is obtained by multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.

If A is a 5×4 matrix and B is a 4×3 matrix, then the entry of AB in the 3rd row / 2nd column is obtained by multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.

To see why, let C = AB be the product of A and B. Then, by definition, the entry in the i-th row and j-th column of C is given by the dot product of the i-th row of A and the j-th column of B. That is, Cij = Ai1B1j + Ai2B2j + ... + Ai4B4j, where Ai1, Ai2, ..., Ai4 are the entries in the i-th row of A and B1j, B2j, ..., B4j are the entries in the j-th column of B.

So, in this case, the entry in the 3rd row / 2nd column of C is given by C32 = A31B12 + A32B22 + A33B32 + A34B42. This involves multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.

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By using the combination, we find that there are 3,315,312,000 possible passwords if a password contains exactly 7 letters and each letter can only be used once.

To determine the number of possible passwords, we need to consider the number of choices for each letter. Since the password contains exactly 7 letters and each letter can only be used once, the number of choices decreases with each letter chosen.

For the first letter, there are 26 choices (all 26 letters of the alphabet).

For the second letter, there are 25 choices remaining (since one letter has already been used).

For the third letter, there are 24 choices remaining.

And so on.

Using the principle of multiplication of combination, we can multiply the number of choices for each letter:

26 × 25 × 24 × 23 × 22 × 21 × 20

This calculates the total number of possible passwords without repeating any letters. Evaluating the expression gives us the final answer:

26 × 25 × 24 × 23 × 22 × 21 × 20 = 3,315,312,000

Therefore, there are 3,315,312,000 possible passwords if the password contains exactly 7 letters and each letter can only be used once.

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Answer:

The lateral area of the square pyramid is 288 m2.

Step-by-step explanation:

The lateral area of the square pyramid is the sum of all the sides multiplied together. Since the pyramid is a square, each side has the same length and width. Thus, each side has an area of 8 m x 22 m = 176 m2. When multiplied together, this gives a total of 288 m2 for the lateral area.

Answer:14!

Step-by-step explanation:

Answer:

poopy

Step-by-step explanation:

Tee Hee

Answer:

a, 30 minutes

Step-by-step explanation:

108 divided by 20 is 54

162 divided by 54 is 30

If a consistent linear system in n variables has an augmented matrix with rank equal to n , then the system has exactly one solution - False

If the rank of the matrix is equal to the rank of the augmented matrix, then we know that the system is consistent. Furthermore, if it may have unique solution or infinite number of solutions depending on whether the rank is equal to lesser than the number of unknowns respectively.

An augmented matrix contains the coefficients of a system of linear equations.

It consists of the coefficients of the left hand side that is all terms with variables and also with the coefficients of the right hand side that too without variables

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Answer:

\({ \bf{f(b) - g(b) : }} \\ { \tt{ = ( {7b}^{3} + 8b) - ( {b}^{2} + b - 10)}} \\ = ( {7b}^{3} - {b}^{2} + 7b + 10)\)

Answer:

\(f(b) - g(b) = 7b^3 -b^2 + 7b +10\)

Step-by-step explanation:

\(f(b) = 7b^3 + 8b \\\\g(b) = b^2 + b - 10\\\\f(b) - g(b) = (7b^3 + 8b ) - ( b^2 + b -10)\)

               \(= 7b^3 + 8b - b^2 - b + 10\\\\=7b^3 - b^2 +7b + 10\)

Answer:

3

Step-by-step explanation:

3a + 6 - 8 = 7

3a - 2 = 7

3a = 9

a = 3

Let me know if this helped <3

Answer:

3+8+11-8=3x2=6=7

A=1

Step-by-step explanation:

My head just went crazy thinking about that so please mark me as brainliest

Answer:

6\(\frac{1}{3}\)

Step-by-step explanation:

4x-12 = x+7

4x-12+12 = x+7+12

4x = x+19

4x-x = x+19-x

3x=19

x = 6\(\frac{1}{3}\)

And if we substitute the value of x into the equation 4x-12 = x+7,

we will get 13\(\frac{1}{3}\) = 13\(\frac{1}{3}\) in the end.

Hope this helps :)

Answer:

Step-by-step explanation:

It is not correct. Carmen should know that the approximate future value is near 16% more than the initial value. It won't be anywhere close to 221 million dollars.

__

Carmen apparently used i = 3.15/4 in his formula instead of i = 0.0315/4. Using the correct value, the future value would be ...

  FV = 2000(1 +0.0315/4)^(4·5) = $2,339.72

The values of k for local maxima is k = 1 and k = -1

The given function is,

   f(x) = kx⁴ - 2k³x²

⇒ f'(x) = 4kx³ - 4k³x

⇒f''(x) = 12kx² - 4k³

To find a local maximum at x = 1, we need f'(1) = 0 and f''(1) < 0.

Therefore, set  f'(1) = 0,

⇒4k(1)³ - 4k³(1) = 0

⇒4k - 4k³ = 0

⇒4k(1 - k²) = 0

From this, we can see that either k = 0 or k = ±1.

However, we have to check the second derivative to determine if these are local maximums,

⇒f''(1) = 12k(1)² - 4k³

For k = 0, f''(1) = 0, which means there isn't a local maximum.

For k = 1, f''(1) = 8 < 0, which means there is a local maximum.

For k = -1, f''(1) = -8 < 0, which means there is also a local maximum.

Therefore,

The values of k that give a local maximum at x = 1 are k = 1 and k = -1.

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Answer:

see explanation

Step-by-step explanation:

The 2 angles are adjacent and supplementary, thus

2x + x + 84 = 180 , that is

3x + 84 = 180 ← required equation

Subtract 84 from both sides

3x = 96 ( divide both sides by 3 )

x = 32

Thus

∠ 1 = 2x = 2(32) = 64°

∠ 2 = x + 84 = 32 + 84 = 116°

Answer:

x=20

Step-by-step explanation:

Substitute 15 for y

it will be 2/3 multiplied by 15 then you get 10

you add 10 to 30 getting 40

then you divide 40 by 1/2 getting 20

:)))

Answer:

x = 80

Step-by-step explanation:

First, plug the 15 into the y.

\(1/2x - 2/3(15) = 30\)

Use PEMDAS to solve the parentheses, 2/3 of 15 is 10.

\(1/2x - 10 = 30\)

Add 10 to both sides of the equation.

\(1/2x = 40\)

Divide each side by 1/2 (or multiply by it's reciprocal, which is 2)

That will get you your answer of x = 80

Answer:

22%

Step-by-step explanation:

Answer:40

Step-by-step explanation:0.65 to percent

0.65x100=65%

which is 65/100x80=52 students choose mat

and 15/100x80=12 students choose science

so 40 more students choose math over science

Answer:

x = 2 and y = 3

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

3x + 2(0) = 6

3x + 0 = 6

3x = 6 ( divide both sides by 3 )

x = 2 ← x- intercept

To find the y- intercept, let x = 0 in the equation and solve for y

3(0) + 2y = 6

0 + 2y = 6

2y = 6 ( divide both sides by 2 )

y = 3 ← y- intercept

Answer:

90°

Step-by-step explanation:

Data provided in the question

Angle V = right angle = 90°

YX and WX = tangents,

And YV and WV = radii

So, we can say that

Angle Y = 90°

And,

Angle  W = 90°

Now as we know that sum of four interior angles is 360°

So,

the equation is  

V + Y + W + X = 360°

90° + 90° + 90° + X = 360°

270° + X = 360

Therefore,

X = 360° - 270°

= 90°

Answer:

c. 90

Step-by-step explanation:

Therefore, the average number of machines waiting for service is 0.083 (rounded to three decimal places).

To calculate the average number of machines waiting for service, we can use the concept of the M/M/1 queue, where arrivals follow a Poisson distribution and service times follow a negative exponential distribution.

In this case, the arrival rate (λ) is 1 breakdown every 4 working days, and the service rate (μ) is 1 repair job per day.

The utilization factor (ρ), which represents the system's utilization, can be calculated as ρ = λ/μ = (1/4)/(1) = 1/4.

The average number of machines waiting for service (Lq) can be calculated using the formula Lq = ρ² / (1 - ρ).

Plugging in the values, we have Lq = (1/4)²/ (1 - 1/4) = 1/12.

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Answer:

Step-by-step explanation:

Remark

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary. x is opposite 112 degrees. Therefore x and 112 add up to 180 degrees.

Formula

x + 112 = 180                      Subtract 112 from both sides.

Solution

x + 112-112 = 180 - 112

x = 68

Answer

x = 68

Answer:

Step-by-step explanation:

#9.

x° = 200° and x = 200

y° = 100° and y = 100

#10.

x° = 68° , x = 68

y° = 99° , y = 99

a) we reject the null hypothesis at the 5% significance level. The P-value is less than 0.01. b) This interval does not contain zero, we can conclude that the difference in means is statistically significant at the 5% level. c) The power of the test is 0.31. d)  we need a sample size of 23 in each group to achieve a power of 0.95.

(a) To test the hypothesis H0: μ1 = μ2 against H1: μ1 ≠ μ2, we can use a two-sample t-test assuming equal variances. The test statistic is given by:

t = (X1 - X2) / \(\sqrt{s^{2}p*(1/n1 + 1/n2) }\)  

where X1 and X2 are the sample means, s²p is the pooled sample variance, n1 and n2 are the sample sizes, and t follows a t-distribution with degrees of freedom df = n1 + n2 - 2.

The pooled sample variance is given by:

s²p = [(n1 - 1) * s1² + (n2 - 1) * s2²] / (n1 + n2 - 2)

where s1² and s2² are the sample variances for the first and second sample, respectively.

Using the given values, we have:

X1 = 4.7, X2 = 7.8

s1² = 4, s2² = 6.25

n1 = n2 = 15

s²p = [(15 - 1) * 4 + (15 - 1) * 6.25] / (15 + 15 - 2) = 4.625

Substituting these values into the formula for t, we get:

t = (4.7 - 7.8) / \(\sqrt{4.625*(1/15 + 1/15)}\) = -3.23

The P-value for this test is the probability of obtaining a t-value more extreme than -3.23 under the null hypothesis. This can be calculated using a t-distribution with 28 degrees of freedom (df = n1 + n2 - 2), or by using software or a t-table. For α = 0.05, the critical values are ±2.048. Since -3.23 is outside this range, we reject the null hypothesis at the 5% significance level. The P-value is less than 0.01.

(b) To construct a confidence interval for the difference in means, we can use the formula:

(X1 - X2) ± tα/2, \(\sqrt{s^{2}p*(1/n1 + 1/n2) }\)  

where tα/2 is the t-value with α/2 area to the right (or left) under the t-distribution with degrees of freedom df = n1 + n2 - 2, and s²p is the pooled sample variance as before.

Using the same values as before and α = 0.05, we have:

tα/2 = 2.048 (from the t-table)

(X1 - X2) ± 2.048 *  \(\sqrt{4.625*(1/15 + 1/15)}\)

= -3.126 to -0.474

We can interpret this interval as follows: we are 95% confident that the true difference in means falls between -3.126 and -0.474. Since this interval does not contain zero, we can conclude that the difference in means is statistically significant at the 5% level.

(c) The power of the test is the probability of correctly rejecting the null hypothesis when the alternative hypothesis is true. It depends on several factors, including the sample sizes, the level of significance, the effect size (i.e., the difference between the population means), and the variability of the data.

To calculate the power of the test for a true difference in means of 3, we need to specify the effect size and the sample sizes. Assuming equal variances and a two-sided test with a level of significance of 0.05, we can use a standard formula or a statistical software to calculate the power of the test. For example, using the R statistical software, we can use the power.t.test function. the power of the test is approximately 0.31, which means that there is a 31% chance of correctly rejecting the null hypothesis if the true difference in means is 3.

d) To determine the sample size needed to achieve a desired level of power, we need to specify the effect size, the level of significance, the desired power, and the variability of the data. Assuming equal variances and a two-sided test with a level of significance of 0.05, we can use a standard formula or a statistical software to calculate the sample size needed to achieve a desired power. For example, using the R statistical software, we can use the power.t.test function. we need a sample size of approximately 23 in each group to achieve a power of 0.95, assuming a true difference in means of -2 and a standard deviation of 4.5 (the average of the two sample standard deviations).

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Answer: D-8

Step-by-step explanation:

6+2

The value of f(5), according to the provided table, is 5.

Evaluating a function means finding the value of an input inserted in a certain function. The input is the domain of the function, and the result is the range of the function. The domain is represented by the x-axis and the range is represented by the y-axis when a function is graphed.

The function f(g(x)) is called a composite function because it is made of two functions. For composite functions, the final value is obtained by performing two steps. The first step is finding the value of the function on the inside. Then, the value of the inside function is used, and the outer function is calculated for that value. So we first have to find the value of g(3), meaning that x is equal to 3.

According to the provided table for the values of x and g(x), when the value of x is 3, the value of g(x) is 6. This is the first step. The subsequent step is finding the value of the f(x) function. The x of this function is the value of g(x), which is 6. The value of f(5), according to the provided table, is 5.

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