Find the difference. Write your answer in simplest form.
11 7/16 - 4 7/12=

Answer:

2.

Step-by-step explanation:

To find the number of trailing zeroes, given n!, we take n and divide it by increasing powers of 5. For example, the number of trailing zeroes in 50! = 50/5 = 10, 50/25 = 2, 10 + 2 = 12 trailing zeroes.

In this case, 10/5 = 2, and since we cannot get an integer from dividing 10 and 25, we are left with this answer.

I hope this helps!

Answer:

_____

Step-by-step explanation:

its saying that the height of the tree is half of 160

(i think)

Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.

First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.

Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.

To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.

Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.

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Answer: A is (arithmetic sequence)

and D is 1 2 3 4 5 6 7

Unfortunately, I only know the answer to those two.

Sorry.

Answer:

Step-by-step explanation:

Equations:

Multiply the first equation by 5 and subtract from the second one:

Find n:

The following can be used to rewrite the provided expression:            6(24) = 6(20 + 4).

The distributive Property states in that it is necessary to multiply every one of the two numbers by the factor before performing the addition operation when a factor is multiplied by that of the sum or addition of two terms. The distributive law, which states that in elementary algebra, equality is always true, is generalized by the distributive principle of binary operations.

The following generic form can be used to specify the distribution property:

a(b+c) = ab + bc

the following expression:

6(24)

We can observe the following by contrasting this to the general form:

a = 6

b + c = 24

Consequently, we must identify two integers from the options whose sum is 24.

These numbers, out of the options provided, are 20 and 4.

The following can be used to rewrite the provided expression:            6(24) = 6(20 + 4).

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The probability that one or fewer workers will leave within the first year is 0.472

To calculate the probability, we sum up the probabilities of exactly 0 and exactly 1 employee leaving within the first year.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Using the binomial probability formula, we can calculate each term:

P(X = 0) = (36 choose 0) * (0.18^0) * (0.82^36)

P(X = 1) = (36 choose 1) * (0.18^1) * (0.82^35)

Let's calculate these probabilities:

P(X = 0) = (1) * (1) * (0.82^36) = 0.155

P(X = 1) = (36) * (0.18) * (0.82^35) = 0.317

Now, we can sum up these probabilities:

P(X ≤ 1) = P(X = 0) + P(X = 1) = 0.155 + 0.317 = 0.472

Therefore, the probability that one or fewer workers will leave within the first year is 0.472 (rounded to three decimal places).

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No, the set Q={a, +qx+az.r} is not a subspace of P2, the set of all real polynomials of degree less than or equal to 2.

To determine if Q is a subspace of P2, we need to check three conditions: closure under addition, closure under scalar multiplication, and the presence of the zero vector.

1. Closure under addition: Take two polynomials from Q, say p(x) = a + qx + az.r and q(x) = b + sx + bz.r. Now let's add them: p(x) + q(x) = (a + b) + (q + s)x + (a + b)z.r. The constant term (a + b) and the coefficient of x (q + s) are fine, but the term (a + b)z.r is not in the form of a polynomial of degree less than or equal to 2. Thus, closure under addition is violated.

2. Closure under scalar multiplication: Let's take a polynomial p(x) = a + qx + az.r from Q and multiply it by a scalar k. The resulting polynomial kp(x) = ka + kqx + kaz.r has the same form as the original polynomial, so closure under scalar multiplication is satisfied.

3. Zero vector: The zero vector in P2 is the polynomial 0 + 0x + 0z.r. However, this polynomial is not in the form of a polynomial in Q, as it has a non-zero coefficient for the term z.r. Therefore, the zero vector is not present in Q.

Since Q does not satisfy the closure under addition condition and does not contain the zero vector, it is not a subspace of P2.

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Answer:

10

Step-by-step explanation:

log4(x+6)=2

x+6=4²

x=4²-6

x=10

Answer:

\(x=10\)

Step-by-step explanation:

\(log_4(x+6)=2\)

\(4^{log_4(x+6)}=4^2\)

\(x+6=16\)

\(x=10\)

Remember that logarithmic functions are the inverses of exponential functions. Therefore, we raise the base of the logarithm to the logarithm to undo the operation.

The probability mass function (PMF) for x is {0.0004, 0.0588, 0.3432, 0.941192}, and the cumulative mass function (CMF) for x is {0.0004, 0.0592, 0.4024, 1.0}.

The probability mass function (PMF) and cumulative mass function (CMF) for the random variable x, which denotes the number of parts correctly classified in an optical inspection system, can be determined.

Since the classifications of the parts are independent, we can use the binomial probability distribution to model this scenario. The PMF gives the probability of obtaining a specific value of x, and the CMF gives the probability of obtaining a value less than or equal to x.

The PMF of x is given by the binomial probability formula:

P(x) = (n C x) * p^x * (1 - p)^(n - x)

where n is the number of trials (number of parts inspected), x is the number of successes (number of parts correctly classified), and p is the probability of success (probability of correct classification of any part).

In this case, n = 3 (three parts inspected) and p = 0.98 (probability of correct classification).

Let's calculate the PMF for x:

P(x = 0) = (3 C 0) * (0.98^0) * (1 - 0.98)^(3 - 0) = 0.0004

P(x = 1) = (3 C 1) * (0.98^1) * (1 - 0.98)^(3 - 1) = 0.0588

P(x = 2) = (3 C 2) * (0.98^2) * (1 - 0.98)^(3 - 2) = 0.3432

P(x = 3) = (3 C 3) * (0.98^3) * (1 - 0.98)^(3 - 3) = 0.941192

The PMF for x is:

P(x = 0) = 0.0004

P(x = 1) = 0.0588

P(x = 2) = 0.3432

P(x = 3) = 0.941192

To calculate the CMF, we sum up the probabilities up to x:

F(x) = P(X ≤ x) = P(x = 0) + P(x = 1) + ... + P(x = x)

Using the calculated probabilities, the CMF for x is:

F(x = 0) = 0.0004

F(x = 1) = 0.0592

F(x = 2) = 0.4024

F(x = 3) = 1.0

Therefore, the probability mass function (PMF) for x is {0.0004, 0.0588, 0.3432, 0.941192}, and the cumulative mass function (CMF) for x is {0.0004, 0.0592, 0.4024, 1.0}.

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Firstly, we need to know the speed of the object in order to calculate the distance it traveled. If we have the speed, we can use the formula distance = speed x time to find the total distance traveled during the 10.0-second time interval.

Secondly, if we don't have the speed, we can use the equation of motion: distance = (initial velocity x time) + (1/2 x acceleration x time squared). This equation takes into account the initial velocity of the object as well as any acceleration that occurred during the time interval.

Lastly, if we have information about the velocity and acceleration of the object, we can use the kinematic equations to find the distance traveled. These equations relate the velocity, acceleration, time, and distance of an object in motion.
In conclusion, to find the total distance traveled by an object during a 10.0-second time interval, we need to know the speed, initial velocity and acceleration of the object. Once we have this information, we can use the formulas and equations mentioned above to calculate the distance traveled.

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Answer:

The answer for Acellus people is x=12.2

Step-by-step explanation:

The other legs of the right-angle triangle will be 12.23 units and 11.81 units.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The right angle triangle is shown with the angle of 44° and the length of the hypotenuse is 17 units.

Then the measure of the length of x will be given by a cosine angle of 44°.

cos 44° = x / 17

x = 12.23 units

Then the measure of the length of y will be given by a sine angle of 44°.

sin 44° = y / 17

y = 11.81 units

Thus, the other legs of the right-angle triangle will be 12.23 units and 11.81 units.

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The correct answer is: c. Gain of £800,000 to Statement of Profit or loss.

Since Maris uses the fair value model, the gain from the increase in the fair value of the building is recognized in the Statement of Profit or Loss. In this case, the building's fair value increased from £10 million to £10.8 million, resulting in a gain of £800,000. Therefore, the gain of £800,000 should be recognized in the Statement of Profit or Loss.According to the fair value model, any gain or loss resulting from the change in fair value of the asset should be recognized in the financial statements. In this case, the increase in the fair value of the building is considered a gain.

Since the gain of £800,000 (the difference between the fair value of £10.8 million and the original purchase price of £10 million) is a result of the change in the asset's fair value, it should be recognized in the Statement of Profit or Loss. This gain represents the increase in the value of the building during the year.

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The given equation r = 8 represents a curve in polar coordinates, where r represents the distance from the origin and θ represents the angle.

To convert this polar equation into a Cartesian equation, we can use the following relationships:

x = r * cos(θ)

y = r * sin(θ)

Substituting r = 8 into these equations, we get:

x = 8 * cos(θ)

y = 8 * sin(θ)

Thus, the Cartesian equation for the given curve is:

x = 8 * cos(θ)

y = 8 * sin(θ)

This equation represents a circle with a radius of 8 units centered at the origin (0, 0).

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The probability of the intersection of events A and B, denoted as P(BA), is 0.2.

To find the probability of the intersection of events A and B, P(BA), we can use the formula for conditional probability:

P(A|B) = P(AB) / P(B)

Rearranging the formula, we have:

P(AB) = P(A|B) * P(B)

Given that P(A|B) = 0.2 and P(B) = 0.6, we can substitute these values into the formula:

P(AB) = 0.2 * 0.6 = 0.12

Therefore, the probability of the intersection of events A and B, P(BA), is 0.12 or 0.2. However, since none of the given options match this value, we can conclude that there might be an error in the options provided. Please double-check the available options or provide additional information if necessary.

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The likelihood that the age when the random sample of 58 men were first married is less than 25.2 years is approximately 0.6075.

We are given that the mean age of men when they marry for the first time follows a normal distribution with a mean (μ) of 24.8 years and a standard deviation (σ) of 2.9 years.

To find the likelihood that the age when they were first married is less than 25.2 years, we need to calculate the corresponding z-score and then find the corresponding probability from the standard normal distribution.

The z-score (z) can be calculated using the formula:

z = (x - μ) / σ

where x is the value we want to find the probability for.

Plugging in the given values, we have:

z = (25.2 - 24.8) / 2.9 ≈ 0.1379

To find the probability associated with this z-score, we can refer to the standard normal distribution table or use a calculator. Looking up the z-value of 0.14 in the table, we find that the probability is approximately 0.5571.

However, since we want the probability of being less than 25.2 years, we need to find the area to the left of the z-score. The probability will be 0.5 (or 50%) plus the probability from the table. Thus, the likelihood is approximately 0.5 + 0.5571 ≈ 0.6075, rounded to four decimal places.

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Answer:

6

Step-by-step explanation:

216 raised to the one third power is the same as asking for the cubed root of 216. 6x6x6=216

hope this helps :)

Answer:

6

Step-by-step explanation:

6x6x6=216

Answer: The temperature change of the water

The most important data that the student would have to record for the investigation that he is carrying out is temperature.

This is the term that is used to refer to the degree of hotness or the degree of coldness of a given body.

The temperature is the solution here because the factor that the student is set to find out would be how heat is able to transfer to water.

The variable that would be used to represent heat is going to be temperature. This is what would help to determine the amount of heat that has transferred.

This can be checked with the use of a thermometer. The investigation that the student is carrying out here would be what is called a research study.

Heat is one of the variables that is used in the research study. Therefore we can conclude by saying that the most important data that is going to be used in this research would be what is called temperature.

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The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.

The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.

To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.

Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.

To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.

Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.

If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.

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Answer:

Step-by-step explanation:

(a+2,b)=(4,5)

Since the points are equal we can equate them to find a

Comparing a + 2 to 4

We have

a + 2 = 4

Send 2 to the right side of the equation

a = 4 - 2

We have the final answer as

Hope this helps you

Step-by-step explanation:

Here,

according to the question,

(a+2, b)=(4,5)

since, they are equal, equating with their corresponding elements we get,

(a+2)=4

or, a= 4-2

Therefore, the value of a is 2.

Also you can find value of b in same way,

b=5.

Therefore, the value of a abd b are 2 and 5 respectively.

Hope it helps...

Answer:

2=4,6,8,10,12

3=6,9,12,15,18

4=8,12,16,24,32

5=10,15,20,25,30

11=22,33,44,55,66

Answer:

9) choice 1) pentagon

10) choice 2) rectangle

11) choice 4) 2 and 3

12) choice 2) they are similar because 7/5 = 21/15

13) choice 2) the triangle

14) choice 1

Step-by-step explanation:

Answer:

can show the full question i can't understand

Answer:

2) x=6 3) x=4 m<EFH=21 m<EFG=83

Step-by-step explanation:

2) Basically they're giving you two parts of a whole angle. The entire angle is 127 degrees, split into two parts. one part being 83 degrees and the other is (9x-10). the way you solve for X is by making it into an equation. Angle JKM + angle MKL = angle JKL. So substitute the values they gave you into the one we just made.

(9x-10) + 83 = 127 then solve for x.

9x-10+83=127

9x+73=127

9x=54

x=6

3) this question is the same thing but now theres a variable on both sides of the equation. angle EFH +angle HFG = angle EGF. substitute then solve for x

(5x+1) + 62 = 18x+11

5x+63=18x+11 move the x variables to one side

52=13x

x=4

for the rest of the angles just plug in the x value to the equations for the smaller angles

m<EGF:

18x+11

18(4)+11= 83

m<EFH

5x+1

5(4)+1= 21

The total area of the composite figure is approximately 120.99982329 square meters.

In a right triangle, the hypotenuse (the side across from the right angle) has a square length that is equal to the sum of the squares of the lengths of the other two sides. This is known as the Pythagorean theorem.

To find the side of the triangle with hypotenuse 10 and base 6 m, we can use the Pythagorean theorem.

x² + 6² = 10²

x² = 100 - 36

x² = 64

x = 8

The area of the triangle is given as:

Area of triangle = (base * height) / 2

Area of triangle = (6 * 8) / 2 = 24 square meters

The area of the rectangle is:

Area of rectangle = length * width = 12 * 8 = 96 square meters

The area of the semicircle can be found as:

Area of semicircle = (π * radius²) / 2

radius = diameter / 2 = 3 / 2 = 1.5 cm or radius = 0.015 meters

Now,

Area of semicircle = (π * 0.015²) / 2 ≈ 0.00017671 square meters

The area of the composite figure is:

Area = (Area of rectangle + Area of triangle) - Area of semicircle

= (96 + 24) - 0.00017671

≈ 120.99982329 square meters

Hence, the final area of the composite figure is approximately 120.99982329 square meters.

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Answer: X= -2

Step-by-step explanation: -3x -11 = -17

 add 11 to both sides

 which gives you -6 then you divide by negative 3x which gives you -2

Answer:

Step-by-step explanation:

3x - 11 = -17

3x - 11 + 11 = -17 +11

Simplify:

add the numbers
3x = -6

Divide both sides by the same factor:

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

Simplify (ANSWER):

x= -2

Answer: A multiplication expression that shows how many pictures Oscar took is 3 x 20. An addition expression that shows how many pictures Oscar took is 20 + 20 + 20. The total number of pictures Oscar took is 60.

Step-by-step explanation: A multiplication expression is a way of showing repeated addition of the same number. For example, 3 x 20 means adding 20 three times: 20 + 20 + 20. This expression can be used to show how many pictures Oscar took because he took the same number of pictures (20) in three different places (rain forest, beach, fort). To find the total number of pictures, we can multiply 3 by 20 and get 60.

An addition expression is a way of showing the sum of two or more numbers. For example, 20 + 20 + 20 means adding 20 to itself two times and then adding the result to another 20. This expression can also be used to show how many pictures Oscar took because he took 20 pictures in each place and we can add them together. To find the total number of pictures, we can add 20 to itself three times and get 60.

The total number of pictures Oscar took is the same whether we use multiplication or addition, because these operations are related by the distributive property. This property states that a x (b + c) = a x b + a x c. For example, 3 x (20 + 20) = 3 x 40 = 120 and 3 x 20 + 3 x 20 = 60 + 60 = 120. In this case, we can use the distributive property to show that 3 x (20 + 20 + 20) = 3 x (60) = 180 and 3 x 20 + 3 x 20 + 3 x 20 = 60 + 60 + 60 = 180. Therefore, the total number of pictures Oscar took is equal to either expression: 60.

Hope this helps, and have a great day! =)

Answer:

multiplication expression is 3×20

addition expression is 20+20+20

tatal pictures is 60