Which property would be used first to make the following problem easier to work? 2/3 x (3/2 x 5) associative property of multiplication multiplicative property o commutative property of multiplication distributive property​

Answer:

27

Step-by-step explanation:

Any positive integer to 3rd power will have positive answer.

Odd functions with number next to x^3 that is positive are increasing from left to right and thay also have a rotational symmetry with respect to the origin.Whe you put this together it's clear that the answer is 27

Answer:

The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:

standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7

To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:

z = (37.4 - 40) / (8 / 7) = -1.225

Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.

give thanks, your welcome <3

Step-by-step explanation:

Answer:

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Keoso0w2ksvuaowjdha7iqrhhhsusiwiwo9w

Iieieowwhwhwowleje

Which language is thir?

Answer:

your answer would be D :)

Solution

- The slope of a linear equation is given by:

- We can compare this general equation to the first equation given to us as follows:

- Thus, the slope of the first equation is 2

- The second equation can be gotten by following the logic of the production of the filters and then generalize.

- That is,

- Comparing this with the general equation, we have:

- The slope of the second equation is 400

Final Answer

The slope of the second equation is greater with a value of 400

Answer:

A. 2.5 pounds

B. 12.5 pounds

Step-by-step explanation:

Answer:

a 2.5 b 12.5

Step-by-step explanation:

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Okay so you put -6 in where y is then solve and youll get your answer

-8x-7(-6)=-6

Answer:

28

Step-by-step explanation: im not sure this type of work is not my best but i gave it a try

The statements log(m/n)=logm-logn and logm+logn=log(mn) are true.

The logarithm is the inverse function to exponentiation.

The true statements are:

(a) log(m/n)=logm-logn

This is the logarithmic quotient rule: log(m/n) = logm - logn.

(b) logm+logn=log(mn)

This is the logarithmic product rule: log(mn) = logm + logn.

The statements (c) logm-logn=log(m-n) and (d) log(m/n)=logm/logn are not true.

Hence, the statements log(m/n)=logm-logn and logm+logn=log(mn) are true.

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The rental cost in dollars per square foot is $11,00

Cost of renting 1.250 square feet = $13, 750 per month

Rental cost per square foot = Total renting cost / total renting area

= $13, 750 per month / 1.250 square feet

= $11,000

Hence, $11,000 is the rental cost in dollars per square foot.

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The roots or zeros of a polynomial are the points it crosses the x-axis.

The roots of the polynomial in order from least to greatest are -5, 0 and 5

From the graph (see attachment), we have the following highlights

The points at which the graph crosses the x-axis are the roots of the graph.

So, the roots are: -5, 5 and 5

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Answer:

55

Step-by-step explanation:530 would be rounded to 550 and 9 would be rounded to 10

550 divided by 10 is 55

Pls give me brainliest if this helps

Answer: The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.

Answer:

Multiply the denominator and the top.

For example 1/2 * 2/1 is 2/2 since you do 2*1 and 1*2 which bothe get you two.

Step-by-step explanation:

Answer:

Calculated value of F = 0.0535

The critical region is F >F ₀.₀₅ (6,21) = 2.575

Reject H0

Step-by-step explanation:

1. Null hypothesis

H0: µ Nitrogen = µ Phosphorus = µ Both = µ Neither

2. Alternative hypothesis

H1: Not all means are equal.

3. The degrees of freedom for the numerator of the F-ratio = k- 1= 7-1=6

4.The degrees of freedom for the denominator of the F-ratio = n-k= 28-7

= 21

5. The significance level is set at α-0.05

The critical region is F >F ₀.₀₅ (6,21) = 2.575

The test statistic to use is

F = sb²/ sw²

Which if H0 is true has an F distribution with v₁=k-1 and v₂= n-k degrees of freedom

Correction Factor = CF = Tj²/n = (410)²/28= 6003.57

Total SS ∑∑X²- C. F = 6108- 6003.57= 104.43

Between SS ∑T²j/r - C.F = 42036/ 7 - 6003.57 =  1.57286

Within SS = Total SS - Between SS= 104.43- 1.573= 102.86

The Analysis of Variance Table is

Source Of                 Sum of          Mean              Computed

Variation          d.f     Squares       Squares               F

Between

Samples          6         1.57286       0.2621               0.0535

Within

Samples         21       102.86           4.898

Calculated value of F = 0.0535

Pvalue = 2.575

Since it is smaller than 5 % reject H0.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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According to Chebyshev,

P(|X - µ| ≤ 2.9σ) ≥ 1 - 1/2.9² ≈ 0.8811

The maximum possible area of the rectangle is 211.75 square units.

What is Triangle ?

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

To find the maximum possible area of a rectangle that can be placed inside the isosceles triangle, we need to consider the largest possible rectangle that can fit inside the triangle such that one of its sides is on the base of the triangle.

Let's draw a diagram of the isosceles triangle and the rectangle inside it with one side on the base:

       /|\

      / | \

     /  |h \

    /___|___\

       b=7

Let's call the length of the rectangle x, and the width y. Since one of the sides of the rectangle is on the base of the triangle, we have y = h/2, where h is the height of the triangle. Using similar triangles, we have:

x/y = b/h

x/(h/2) = b/h

x = (b/2)h

x = (7/2)11

x = 38.5

Therefore, the maximum possible area of the rectangle is:

A = xy

A = (38.5)(11/2)

A = 211.75

Therefore,  the maximum possible area of the rectangle is 211.75 square units.

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Answer:B on edge

Step-by-step explanation:

Option third "The area covered by all the sprinkler heads together is approximately 169.64 ft2" is correct.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have:

The distance between grid lines is 2 ft

As we can see from the figure each sprinkler head consists of 3 grid squares.

It means the diameter of each sprinkler head = 3×2 = 6 ft

The radius is half of the diameter = 6/2 ⇒ 3 ft

We know the area of the circle is given by:

\(\rm A = \pi r^2\)

The area of each sprinkler head:

\(\rm A = \pi \times 3^2\)

A = 9π square ft  or

A = 28.2743 square ft

The total sprinkler head = 6

Now the total area covered by all the sprinkler heads together:

= 6×28.2743

= 169.64 square ft.

Thus, option third "The area covered by all the sprinkler heads together is approximately 169.64 ft2" is correct.

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The square root of 138 lies between 11 and 12, as 11²=121 and 12²=144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

This is because the square root of a number is the number that, when multiplied by itself, produces the original number. Therefore, to find the square root of 138, we need to identify two consecutive integers such that one of them squared is smaller than 138 and the other squared is larger than 138.

To do this, we can work our way up from the integer closer to 0, in this case 11. 11 squared is 121, which is smaller than 138, so we know that the square root of 138 must be between 11 and a larger integer. Then, if we square 12, we get 144, which is larger than 138. Therefore, we can definitively say that the square root of 138 lies between 11 and 12.

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The square root of 138 lies between 11 and 12, as 11² is 121 and 12² is 144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

To calculate this, we can divide 138 by 11 and 12, and see which integer is closer to the answer.

138 divided by 11 is 12.545454545454545454545454545455.
138 divided by 12 is 11.5.

Since 11.5 is closer to the answer, the square root of 138 lies between 11 and 12.

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According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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The true statement is that C.  Events A and B are not independent because P(A|B) ≠ P(A).

The probability that Roger wins a tennis tournament (event A) is 0.45 i.e. P(A)=0.45

The probability that Stephan wins the tournament (event B) is 0.40 i.e. P(B)=0.40

It should be noted that if A and are independent events, then P(B|A) = P(B). This isn't possible in this situation.

Therefore, the true statement is that events A and B are not independent because P(A|B) ≠ P(A).

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The probability that Roger wins a tennis tournament (event A) is 0.45, and the probability that Stephan wins the tournament (event B) is 0.40. The probability of Roger winning the tournament, given that Stephan wins, is 0. The probability of Stephan winning the tournament, given that Roger wins, is 0. Given this information, which statement is true?

1.Events A and B are independent because P(A|B) = P(A).

2.Events A and B are independent because P(A|B) ≠ P(A).

3. Events A and B are not independent because P(A|B) ≠ P(A).

4. Events A and B are not independent because P(A|B) = P(A).

Answer:

1. multiply by 1

3x+1y+1d

3x+y+1d

2. multiply by 1

3x+y+1d

3x+1y+d

3. rearrange the terms

d+3x+y

your answer is d+3x+7.

Answer:

165 minutes

Step-by-step explanation:

To solve for the number of minutes that Joaquin played for, we can use this expression:

(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)

Subtracting 1:10 from each side:

1:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.

So, the expression is now:

So, 2 hours and 25 minutes passed.

If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:

Now we need to add on the number of minutes and the time it took him to get home:

Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.

Answer:

13 to 10

Step-by-step explanation:

13 boys, 10 girls

13:10

The ratio of boys to girls in the classroom is  13:10

hence option B is correct

According too the given situation

The number of boys in the classroom = 13

The number of girls in the classroom = 10

Ratio is a quantitative relationship between two numbers showing a comparable form of magnitudes of both the numbers/quantities.

Let "a" and "b" be two numbers then the Ratio of "a" and "b" is shown as formulated in equation (1)

\(\rm r = a:b ........(1)\)

The ratio of two numbers can be found out in simplest form by dividing these two numbers such that the division results in positive natural numbers for both the quantities.

So we can conclude that   the ratio of boys to girls in the classroom are

\(\rm \dfrac{Boys }{Girls } =\dfrac{13}{10} \\\\Boys : Girls = 13:10 \\\)

So we can conclude that the ratio of boys to girls in the classroom is  13:10

hence option B is correct

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Answer:

x = 0.5 because when we plug x = 1.056525 into the original equation, it is not true.

Step-by-step explanation:

1.) f(x) = 2x^3 + 2x - 3 and g(x) = - 0.5 |x - 4|

2.) 2x^3 + 2x - 3 = - 0.5 |x - 4|

3.) 2x^3 + 2x - 3 = - 0.5(x - 4)

4.) 2x^3 + 2x - 3 = - 0.5 x - (x - 4)

5.) x = 0.5, 1.056525

6.) When x = 1.056525, the original equation 2x^3 + 2x - 3 = - 0.5 |x - 4| does not hold true. We will drop x = 1.056525 from the solution set.

7.) x = 0.5

An airline that wishes to measure customer satisfaction chooses ten of its flights at random over the course of a single month and requests that each passenger fill out a survey. A Cluster sample looks like this.

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