Solve pls brainliest

We have That the length of AJ and JA' can be found by following these steps

From the Image we are asked to use the ruler to measure

BK and KB'

And also Record  the length of AJ and JA'

Generally, We are dealing with a question of reflection so we note that

\(BK =KB'\)

\(AJ= JA'\)

in conclusion

Follow the above list steps will give the length of AJ and JA'

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Answer:

5.6 units for both

Step-by-step explanation:

The 99.5% confidence interval for the true population mean textbook weight is (61.6173 ounces, 70.3827 ounces).

Given:

Sample mean (x) = 66 ounces

Population standard deviation (σ) = 10.5 ounces

Sample size (n) = 45

Confidence level = 99.5% (which corresponds to a two-tailed test)

To construct a confidence interval for the true population means textbook weight, we can use the formula:

Confidence Interval = (sample mean) ± (critical value) × (standard deviation / √(sample size))

The critical value for a 99.5% confidence level (with a two-tailed test) is z = 2.807.

Confidence Interval = (66) ± (2.807) × (10.5 / √45)

Confidence Interval = (66) ± (2.807) × (10.5 / 6.7082)

Confidence Interval = 66 ± 4.3827

To four decimal places, the confidence interval is:

Confidence Interval = (61.6173, 70.3827)

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The greatest number of sides that can result from a cross section of a rectangular prism is 6.

To see why, consider a rectangular prism. The prism has 6 faces, which are all rectangles. If we take a cross section of the prism, the section will intersect some of the faces, resulting in a closed shape. The shape will have at most as many sides as the number of sides of the faces that the section intersects.

Since each face of the rectangular prism has 4 sides, the maximum number of sides that can result from a cross section is 4 x 6 = 24. However, this is only possible if the section intersects every face of the prism, which is unlikely to occur in general. In practice, a cross section of a rectangular prism is more likely to intersect just a few of the faces, resulting in a shape with fewer sides. Therefore, the greatest number of sides that can result from a cross section of a rectangular prism is 6, which occurs when the section intersects all 6 faces.

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Answer:

n=5

Step-by-step explanation:

interior angle of polygon=(n-2)180=(5-3)180=2×180=360

Answer:

(14.2k - 1.1m + 5.5n) cm

Step-by-step explanation:

Perimeter of a triangle = side A + side B + side C

Side A = (5.8k+3.3m)cm

Side B = (8.4k-2.4n)cm

Side C = (7.9n-4.4m)cm

Perimeter of a triangle = side A + side B + side C

= (5.8k+3.3m) + (8.4k-2.4n) + (7.9n-4.4m)

= 5.8k + 3.3m + 8.4k - 2.4n + 7.9n - 4.4m

Collect like terms

= 5.8k + 8.4k + 3.3m - 4.4m - 2.4n + 7.9n

= (14.2k - 1.1m + 5.5n) cm

Therefore, the perimeter of the triangle = (14.2k - 1.1m + 5.5n) cm

The distance between two points, x and y, on the number line is given by the absolute value of the difference between the coordinates of the two points.

The distance between two points on the number line can be determined by calculating the absolute value of the difference between the coordinates of the two points. Let's assume that point x has a coordinate of a, and point y has a coordinate of b. The distance between x and y can be expressed as |b - a|, where | | denotes the absolute value.

To understand why the absolute value is used, consider that the distance between two points can be positive or negative depending on their relative positions on the number line. The absolute value ensures that the result is always positive, representing the magnitude of the distance between the points regardless of their order. For example, if point x is located at -3 and point y is at 2, the absolute value of the difference, |2 - (-3)|, gives the distance of 5 units. Similarly, if point x is at 5 and point y is at -2, the absolute value of the difference, |(-2) - 5|, also yields a distance of 7 units. Thus, the expression |b - a| captures the concept of distance between two points on the number line.

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D   sin 85         sin 31

   ---------- =     ----------

     b                  9.3

We can use the law of sins

sin B        sin A         sin C

--------- = ----------- = ----------

b                   a            c

We do not know angle C, but we can calculate it

The angles of a triangle add to 180

A + B + C = 180

64+ 85 + C = 180

149 + C = 180

C = 180-149

C =31

sin B         sin C

--------- = ----------

b                  c

We know B =  85, C = 31, b = unknown and c = 9.3

sin 85         sin 31

---------- = ----------

b                  9.3

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The value of 60 percent of $600 will be $360.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In this case, 60% of $600 will be illustrated thus:

= 60% × $600

= 60/100 × $600

= 0.6 × $600

= $360

Therefore, the value is $360.

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Answer:

They are both equal to the other angles for both 1 and 2

Step-by-step explanation:

Answer:

answer a is a 35 degree angle answer b is a 90 degree angle

Step-by-step explanation:

Answer: It is 3/2 = p

Step-by-step explanation:

1. 2p - 9 = 3(2p - 5)
2. 2p - 9 = 6p - 15
3. -9 = 4p -15
4. 6 = 4p
5. 3 = 2p
6. 3/2 = p

Answer:

6/4 or 3/2

Step-by-step explanation:

To this problem, we need to use the distributive property, and we also need to combine like terms.

2p-9=3(2p-5)

2p-9=6p-15

Subtract 2p on both sides

-9=4p-15

Add 15 on both sides

6=4p

Now divide 4 on both sides

6/4 or 3/2

I hope this helped!

Have a wonderful day!

:D

(-2.3)*4.7 would be equal to -10.81

Solution

We want to use coordinate geometry to determine if the triangle is a right triangle

We can find the distance between all the three vertices.

The formula for distance between two points ( x1 , y1 ) and ( x2, y2) is given as :

Let us start by finding the distance AB

Let us find the distance BC

Now let us find the distance AC

The triangle will be a right triangle if it obeys pythagoras theorem

Pythagoras' theorem says if we square the longest side in a right triangle , then it must be equal to the sum of the squares of the other two sides

Let us see if that works. If it works, the triangle is right triangle. If it doesn't work, we conclude otherwise.

So we can say that only right triangle obeys pythagoras' theorem.

Now lets verify

Longest side is AC

Let us find the sum of the squares of AB and BC

Now we observe that ;

The triangle given is a right triangle

Our choice is Yes

The percentage of the population in decimal is p=0.42

The mean of the sample of the binomial distribution=75.6

The standard deviation of the sample of the binomial distribution=6.622

How to convert a decimal to a percentage?

To convert a decimal number into a percentage value, multiply the decimal by 100.

What is binomial distribution?

The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.

Given that,

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

n = 180

Using the binomial distribution,

mean = \(n \times p\) = \(180 \times 0.42\) = 75.6

standard deviation = \(\sqrt{n \times p \times q}\) = \(\sqrt{180 \times 0.42 \times 0.58}\) = 6.622

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The percentage of the population in decimal is p=0.42

The mean of the sample of the binomial distribution=75.6

The standard deviation of the sample of the binomial distribution=6.622

How to convert a decimal to a percentage?

To convert a decimal number into a percentage value, multiply the decimal by 100.

What is binomial distribution?

The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.

Given that,

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

n = 180

Using the binomial distribution,

mean =   75.6

standard deviation =  6.622

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Answer: a=4/9

Step-by-step explanation: math

The correct answer is d) f^(-1)(x) = x/3, as it represents the Inverse relationship of y = 3x.

To find the inverse of a function, we need to switch the roles of x and y and solve for the new y.

The given function is y = 3x.

To find its inverse, let's swap x and y:

x = 3y

Now, solve this equation for y:

Dividing both sides of the equation by 3, we get:

x/3 = y

Therefore, the inverse function of y = 3x is f^(-1)(x) = x/3.

Among the given options:

a) f^(-1)(x) = 1/3x

b) f^(-1)(x) = 3x

c) f^(-1)(x) = 3/x

d) f^(-1)(x) = x/3

The correct answer is d) f^(-1)(x) = x/3, as it represents the inverse relationship of y = 3x.

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Answer:

Step-by-step explanation:

It is an arithmetic sequence with common difference = -6

32nd term = 311 - 31(6) = 125

Answer:

44

Step-by-step explanation:

the formula for finding the perimeter of a rectangle is p=2(l+w)

The sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The statement that is given to us is" the sum of forty-five and a number", therefore, the expression that will represent this can be written as,

45 + n,

Now, if the value of n is 1.1. Then the sum will be,

\(45+n\\\\=45+1.1\\\\=46.1\)

Hence, the sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1

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The estimate for the sum of the numbers is 230, and the actual sum of the numbers is 209.

To estimate the sum of the numbers, we can round each number to the nearest ten and then add them together. When rounding off to the nearest tens, we look at the number at the tenth position. If it is five and above, we round it off to the next nearest tens number and if it is below five, we round it off to the previous nearest tens number.

76 rounds to 80   since 6 is above 5
6 rounds to 10 since 6 is above 5
25 rounds to 30 since 5 is located at 5 and above interval
5 rounds to 10 since 5 is located at 5 and above interval
10 rounds to 10 since 0 is below 5
87 rounds to 90 since 7 is above 5

So, the estimate for the sum of the numbers is: 80 + 10 + 30 + 10 + 10 + 90 = 230

To find the actual sum of the numbers, we simply add them together without rounding:

76 + 6 + 25 + 5 + 10 + 87 = 209

The complete question is: 76. 6 25. 5 10. 87 =

What was Sela's estimate and what is the actual sum of the number?

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Answer:

Angle VTU is 72

Angle TUV is 32

Step-by-step explanation:

Subtract 108 from 180 to get angle VTU (since its on a straight line, its 180). As for the last angle, add the two up. We would add 72 and and 76 which would give us 148. Now we just subtract this from 180 (this is cuz the angles of a triangle add up to 180). hope this helped :)

9514 1404 393

Answer:

Step-by-step explanation:

1. The table can be filled in like this:

The constant of proportionality is the ratio of y to x:

  k = 3/2

__

2. The meaning of the constant of proportionality is just what it is defined to mean: the ratio of oil to vinegar in the dressing.

__

3. The equation is y=kx, where k is the value in part 1:

  y = (3/2)x

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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Answer:

I think 7

Step-by-step explanation:

Answer:

Without tax, it is 7. How much is the tax?

Step-by-step explanation:

10.00 - 3.77 = 6.23

0.89 x 7 = 6.23

Answer:

3a(c + 2b - 5)

Step-by-step explanation:

Step-by-step explanation: The greatest common factor for the 3 terms here is 3a so factor out a 3a and what we're left with inside the parentheses is each of the terms in the original polynomial divided by 3a.

So we have 3a(c + 2b - 5) which is our final answer.

The value of the determinant of matrix(2A^2B^T) - 1 cannot be determined with the given information. None of the options can be concluded.

The determinant of a matrix is not directly related to the determinant of its transpose. Therefore, we cannot determine the value of det(2A^2B^T) - 1 without additional information about matrices A and B.

Given that det(A) = 1, we know the determinant of matrix A. However, the determinant of matrix B being singular does not provide enough information about the individual elements or properties of B to determine the value of det(2A^2B^T) - 1.

Therefore, based on the given information, we cannot conclude any of the options provided: None of the mentioned (a) would be the correct answer. To determine the value of det(2A^2B^T) - 1, we would need additional information about the matrices A and B, such as their specific values or properties.

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Therefore , the solution of the given problem of expressions comes out to be {x | x = n, where n is an integer between 3 and 7 inclusive}.

Once variables are moving, estimates that include joining, stopping, and dividing should be made rather than doing so randomly. They might well be able to provide one another with a bit of knowledge, software, or a solution to a conundrum. A statement of truth contains formulas, components, and mathematical notation like addition, deduction, combination, and combination. Both words and phrases can be analysed and judged.

Here,

=> {x | x is an integer between 3 and 7 inclusive}

The set 3, 4, 5, 6, and 7 can be represented in set-builder notation as the set of numbers x, where x is an integer between 3 and 7, inclusive.

So, this collection can be expressed as:

=> {x | x = n, where n is an integer between 3 and 7 inclusive}

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The probability that z lies between -2.41 and 0 is approximately 0.9911.

To find the probability that a standard normal variable, z, falls within a specific range, we can use the standard normal distribution table or a statistical calculator.

In this case, we want to find the probability that z lies between -2.41 and 0. By referencing the standard normal distribution table or using a calculator, we can determine the area under the curve corresponding to this range. The resulting value represents the probability of z falling within that range.

Approximately 0.9911 is the probability that z lies between -2.41 and 0 when rounded to four decimal places. This means that there is a high likelihood (approximately 99.11%) that a randomly chosen value of z from a standard normal distribution falls within this range.

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No this does not indicate that the population proportion of women athletes who graduate from the university is now less than 67%.

Given long term graduation rate of 67%, sample size of 36  and the women athletes graduated is 23.

We have to find whether  the given information shows  that the population proportion is less than 67%.

First we have to create hypothesis for this :

\(H_{0}\):P=0.67

\(H_{1}\):P<0.67

Under null hypothesis the test statistic is

z=p bar-p/\(\sqrt{p(1-p)/n}\)

where p bar=23/36

=0.638

z=(0.638-0.67)/\(\sqrt{0.67(1-0.67)/36\)

=-0.032/\(\sqrt{0.67*0.33/36}\)

=-0.032/\(\sqrt{0.0064}\)

=-0.032/0.078

=-0.41

Now we have to find the left tailed critical at 0.01 significance level using z table.

z=-2.33

Since the z value does not fall in the critical region,therefore we fail to reject the null hypothesis. So we can conclude that there is not sufficient evidence to say that the population proportion of women athletes who graduate from the university is now less than 67%.

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Question is incomplete as it should specify the signficance level of 0.01 to be used.

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.