3 divided by 2/5

7
7 1/5
7 1/2
8​

The property illustrated in Step 4 is the "associative property of addition". which is the correct answer would be an option (A).

The associative property of addition is a rule which states that when adding three or more numbers, we can arrange them in any configuration, and the resultant sum is unaffected by how they are arranged.

(a + b) + c = a + (b + c)

The property illustrated in Step 4 is the "associative property of addition". This property states that the order in which we add numbers does not affect the result of the addition.

In Step 4, we use the associative property to rearrange the terms in the expression so that we can more easily apply the distributive property in the next step.

Hence, the correct answer would be option (A).

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To find the derivatives of the given expressions, we can apply the chain rule, which states that the derivative of a composition of functions is equal to the derivative of the outer function multiplied by the derivative of the inner function.

(a) To find the derivative of f(g(x)), we start by differentiating the outer function f with respect to the inner function g(x), and then multiply it by the derivative of the inner function g(x) with respect to x.

df/dx = df/dg * dg/dx

df/dx = cos(g(x)) * (2x)

(b) To find the derivative of g(f(x)), we differentiate the outer function g with respect to the inner function f(x), and then multiply it by the derivative of the inner function f(x) with respect to x.

dg/dx = dg/df * df/dx

dg/dx = 2f(x) * cos(x)

Hence, the derivatives are:

(a) d/dx(f(g(x))) = cos(g(x)) * (2x)

(b) d/dx(g(f(x))) = 2f(x) * cos(x)

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The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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Answer to -1/3x-1+x2 in standard form:

x²-1/3x-1

We apply our knowledge in variation.

The solution can be seen in the photo

In this example, we have divided the values into two groups with five values each, approximately equal in size.

What is Mean?

The mean, also known as the average, is a measure of central tendency that represents the sum of all values in a dataset divided by the number of values. It is a way to find a representative value that summarizes the entire dataset.

What is Median?

The median is a measure of central tendency that represents the middle value in a dataset when it is arranged in ascending or descending order. It is a robust measure that is not influenced by extreme values or outliers.

What is Mode?

The mode is a measure of central tendency that represents the value or values that occur most frequently in a dataset. In other words, the mode is the value that has the highest frequency or count.

To divide a set of values into two approximately equal groups, you can use the median as a reference point. The median is the middle value of a sorted dataset. If the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values.

Here's an example to illustrate the process:

Sort the values in ascending order.

Find the median of the dataset.

Split the dataset into two groups based on the median.

The first group will contain all values less than or equal to the median.

The second group will contain all values greater than or equal to the median.

The mean is the average of a dataset and may not necessarily help divide the values into two approximately equal groups. The mode represents the most frequently occurring value in a dataset and is also not directly applicable for dividing the values into two equal groups.

Let's say we have the following set of values: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

Sorting the values: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

Finding the median: Since there are 10 values, the median is the average of the two middle values, which are 10 and 12. So the median is (10 + 12) / 2 = 11.

Splitting the values:

Group 1 (values less than or equal to the median): 2, 4, 6, 8, 10.

Group 2 (values greater than or equal to the median): 12, 14, 16, 18, 20.

In this example, we have divided the values into two groups with five values each, approximately equal in size.

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Answer:

true

Step-by-step explanation:

square root functions are just half of a parabola rotated 90° so depending on which half of the parabola (top has minimum and bottom has maximum) it is, it will have one, but it cannot have both since it is a continuous function after the max or min

To determine whether he will receive a refund or owe money to the IRS, the result is negative, Brian owes the IRS $2,957.46.

What do you mean by federal income tax?

Brian paid $15,987.76 in federal income tax and his actual tax liability is $18,945.22.

To determine whether he will receive a refund or owe money to the IRS, we can use the formula:

Tax refund or owed = taxes paid – taxes due

Tax refund or owed = $15,987.76 - $18,945.22

Tax refund or owed = -$2,957.46

Since the result is negative, Brian owes the IRS $2,957.46.

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The range of the function g(x) is [300, ∞)

In this question, we have been given that we have deposited $300 into a savings account that earns interest annually.

The function g(x) = 300(1.04)^x used to find the amount of money in the savings account, g(x), after x years.

We need to find the range of the function.

Since a savings account earns interest annually, x can have take values from 0 to infinity.

For x = 0 year,

g(0) = 300(1.04)^0

g = 300 * 1

g = 300

For x tends to ∞, the value of function would be ∞

Therefore, the range of the function g(x) is [300, ∞)

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Answer:

Step-by-step explanation:

Answer:

the end result is (-5 , -2)

Step-by-step explanation:

Let A’ be the image of A(5 ,2) by reflection over the x-axis

and Let A’’ be the image of A’ by reflection over the y-axis

Formula:

➽if we reflect a point M of coordinates (x , y) over the x-axis we get the image point M’ of coordinates (x , -y)

➽ if we reflect a point N of coordinates (z , t) over the y-axis we get the image point N’ of coordinates (-z , t)

_____________________________

According to the formula :

A(5,2) ———-> A’(5 , -2) ———-> A’’(-5 , -2)

Answer: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).

Step-by-step explanation:

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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(a) Approximately 68% of pregnancies have lengths between 251 days and 279 days.

(b) Approximately 95% of pregnancies have lengths between 237 days and 293 days.

We have given that,

lengths of human pregnancies are normally distributed with a mean of 265 days and a standard deviation of 14 days,

(a)

To find the length of 68% of pregnancies  we know the formula,

days ± standard deviation

Therefore

265 - 14 = 251

265 + 14 = 279

Hence approximately 68% of pregnancies have lengths between 251 days and 278 days.

(b)

From the section (a) 68% of pregnancies have lengths between 251 days and 278 days.

Now we will check for 95%

so the formula is

days ± 2× standard deviation

⇒ 265 - 2 × 14 = 237

and 265 + 2 × 14 = 293

Therefore approximately 95% of pregnancies lengths between 237 days and 293 days.

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The expression that represents the required distance is \(\mathbf{ s = \frac{h}{0.5878}}\)

The given parameters are:

\(\mathbf{\theta =36^o}\) --- the angle of elevation to the top of the tree

To do this, we make use of the following representations

The distance (s) is then calculated using the following sine ratio

\(\mathbf{ sin(\theta) = \frac{h}{s}}\)

Make s the subject

\(\mathbf{ s = \frac{h}{sin(\theta)}}\)

Substitute \(\mathbf{\theta =36^o}\)

\(\mathbf{ s = \frac{h}{sin(36)}}\)

Evaluate sin(36)

\(\mathbf{ s = \frac{h}{0.5878}}\)

The height of the tree is not known.

Hence, the expression that represents the required distance is \(\mathbf{ s = \frac{h}{0.5878}}\)

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The expression that represents the required distance is

The given parameters are:

--- the angle of elevation to the top of the tree

To do this, we make use of the following representations

s represents the distance from the tip of the shadow to the top of the tree

h represents the height of the tree

The distance (s) is then calculated using the following sine ratio

Make s the subject

Substitute

Evaluate sin(36)

The height of the tree is not known.

Hence, the expression that represents the required distance is

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The probability of obtaining exactly three of the same result when flipping a fair coin four times in a row is 0.25.

Let's calculate the probability of getting the same outcome when flipping a fair coin n times in a row.

Meaning of a fair coin:

A coin is known as a fair coin if it has two sides and there is an equal probability of both sides appearing.

In other words, the probability of each side appearing is 0.5, implying that there is a 50 percent chance of it appearing.

The total number of outcomes that can be obtained when a fair coin is flipped n times in a row is 2n.

The total number of possible outcomes in this scenario is 2n.

Let's look at the likelihood of obtaining the same result when flipping a fair coin n times in a row.

The probability of obtaining the same result when flipping a fair coin n times in a row is:

P(H) = probability of getting a head P(T) = probability of getting a tail.

The probability of obtaining the same outcome when flipping a fair coin n times in a row is : P(HH...H) + P(TT...T) = (0.5)n + (0.5)n

= 2(0.5)n

= 2n-1.

For n = 4, P(HH...H) + P(TT...T)

= (0.5)4 + (0.5)4

= 0.0625 + 0.0625

= 0.125, or 1/8.

Exactly k outcomes are expected to occur with a probability of (n choose k) x (1/2)k x (1/2)n-k.

The probability of obtaining exactly k results when flipping a fair coin n times in a row is calculated using this formula.

Let's look at the probability of obtaining exactly k outcomes when flipping a fair coin n times in a row.

This is the binomial distribution formula.

P(X=k) = \((nCk)*(p^k)*((1-p)^(n-k)),\) here p=0.5 as it's a fair coin.
Where, n = the number of coin flips
p = probability of getting the same result in each flip (0.5 for a fair coin)
k = number of times the same result is obtained

For k=3, the probability is : \(P(X=3) = (nCk)*(p^k)*((1-p)^(n-k))P(X=3)\)

\(= (4C3)*((0.5)^3)*((1-0.5)^(4-3))=4*0.125*0.5=0.25\)

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The Lakers made 31 two-pointers and 6 three-pointers.

Explanation:

Let " x " be the number of two-point shots made and let "y"  be the number of three-point shots made.

The Lakers scored a total of 80 points:

2 x + 3 y = 80

The Lakers made a total of 37 baskets:

x + y =37

These two equations can be solved:

(1)    2 x + 3 y = 80

(2)   x + y = 37

Equation (2) gives:

(3)   x = 37 − y

Substituting (3) into (1) gives:

2 ( 37 − y ) + 3 y = 80

74 − 2 y + 3 y = 80

y = 6

Now let's just use the simpler equation (2) to get  x :

x + y =37

x + 6 = 37

x = 31

Hence, the Lakers made 31 two-pointers and 6 three-pointers.

a. The test could be conducted on the mean of one sample or two samples of observations.

The statement "The test could be conducted on the mean of one sample or two samples of observations" is not related to statistics associated with cross-tabulation.

Cross-tabulation, also known as a contingency table or a crosstab, is a statistical technique used to analyze the relationship between two categorical variables. It is commonly used to examine the association between two variables and determine if there is a significant relationship between them.

Options (b), (c), and (d) are all related to statistics associated with cross-tabulation. The chi-square statistic is commonly used to measure the statistical significance of the observed association. The statement in option (c) correctly highlights that the strength of association is of interest only if it is statistically significant. Option (d) mentions several measures that can be used to quantify the strength of association in cross-tabulation, including the phi correlation coefficient, the contingency coefficient, Cramer's V, and the lambda coefficient.

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Answer:

Step-by-step explanation:

x + 44x = 180

45x = 180

x = 4

180-x = 176

answer is 4

this number can be written as 3+0.242424

Answer:

Now that you are certain all triangles have interior angles adding to 180° , you can quickly calculate the missing measurement. You can do this one of two ways: Subtract the two known angles from 180° . Plug the two angles into the formula and use algebra: a + b + c = 180°

Answer:

−9.3¯6

Step-by-step explanation:

Convert it to a mixed number

-281/30

Divide the two numbers

−9.3¯6

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Answer:

Step-by-step explanation: 36-30%= 25.2

your answer should be 25.2

Answer:

please where is the above square pyramid

Step-by-step explanation:

please I wish I could help you but your question is in complete

Answer:

a

Step-by-step explanation:

ik my math

Answer:

x = √6

Step-by-step explanation:

x² + √30² = 6²

x² + 30 = 36

x² = 6

x = √6

(I'm so sorry if I read the equation wrong )

Answer: 3

Step-by-step explanation:

The triangles are similar using the angle-angle similarity theorem.

Using the fact that similar triangles have proportional side lengths yields:

\(\frac{5x-7}{4}=\frac{18}{9}\\\\\frac{5x-7}{4}=2\\\\5x-7=8\\\\5x=15\\\\x=3\)

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

Since there are 3 friends and each friend gets 6 paintbrushes, multiply 6 times 3 to find the total amount of paintbrushes that were in the container: