Kyle spent $155 on 9 items at the mall. Shirts were $15 and jeans were $20. How many of each did he buy?

The inradius of the triangle of the given dimensions will be equal to the value 2.

To find the inradius of a triangle, we need to know the semi perimeter of the triangle, which is half of the perimeter. The perimeter of a triangle is the sum of the lengths of its sides. So, the semi perimeter of triangle ABC is (6+8+10)/2 = 12.

Now that we know the semi perimeter, we can use the formula for the inradius of a triangle:

inradius = √(s-a)(s-b)(s-c)/s

where a, b, and c are the lengths of the sides of the triangle and s is the semi perimeter.

Plugging in the values for a, b, c, and s, we get:

inradius = √(12-6)(12-8)(12-10)/12 = √(6)(4)(2)/12 = √48/12} = √4 = 2

Therefore, the inradius of triangle ABC is 2.

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For k = - 3 and n = - 2, the expression evaluates to - 6.

We have the following expression -

- \(k^{2}\) - (9k - 7n) + 5n

We have to evaluate the above expression for k = - 3 and n = - 2.

The expression ax + b for x = - 2 can be evaluated as follows -

Substituting the value of x = - 2, we get :  - 2a + b

We can similarly solve the expression given to us -

- \(k^{2}\) - (9k - 7n) + 5n

Substitute k = - 3 and n = - 2 in the equation, we get -

\(-(-3)^{2} - (9\times -3 \;\;-\;\;7\times -2) + 5\times -2\)

- 9 - (- 27 + 14) - 10

- 9 + 27 - 14 - 10

18 - 14 - 10

18 - 24

- 6

Hence, for k = - 3 and n = - 2, the expression evaluates to  - 6.

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John is approximately 208 feet away from the base of the building.

The height of the building is 120 feet. If we assume that John is looking at the eagle directly, then the angle of elevation from John to the top of the building is 90 degrees. We can use the tangent function to find the distance from John to the base of the building. The tangent of 90 degrees is 1, so the distance from John to the base of the building is equal to the height of the building, which is 120 feet.

However, this is an idealized scenario. In reality, John is not looking at the eagle directly, so the angle of elevation is less than 90 degrees. This means that the distance from John to the base of the building is slightly less than 120 feet.

Using a trigonometric calculator, we can find that the distance from John to the base of the building is approximately 208 feet.

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Answer:

The middle 95% of the players fall within two standard deviations of the mean. Using the empirical rule, we know that this corresponds to the interval (mean - 2*standard deviation, mean + 2*standard deviation), or (200 - 2*25, 200 + 2*25), which simplifies to (150, 250). Therefore, the minimum weight of the middle 95% of the players is 150 pounds.

The answer is d. 151.

The unit price of 24 oz can of soup is $0.2

8 oz can of soup cost $1.75

24 oz can of soup cost $4.90

The unit price of 24 oz can of soup can be calculated as follows

24= 4.90

1= x

Cross multiply both sides

24x= 4.90

Divide by the coefficient of x which is 24

24x/24= 4.90/24

x= 0.2

Hence the unit price of 24 oz can of soup is $0.2

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Answer:

(n-2) x 180 degrees where n is the number of sides

Step-by-step explanation:

From one vertex of the polygon you draw triangles inside the polygon.  Multiply the number of triangles by 180 since all triangles interior angles add up to 180 degrees.

example

Pentagon has 5 sides.  (5-2) x 180 = 540 degrees

This is the same as 180n-360

===================================================

Explanation:

Draw any polygon you want. Let's say we draw a hexagon. Split the hexagon into 6 triangles. Check out the diagram below.

The goal is to find what the red angles sum to. Recall that any triangle always has its three angles add to 180 degrees. We have 6 triangles, so all of the angles (red+blue) add to 6*180 = 1080 degrees. However, we don't want to include the blue inner angles. So we'll subtract off 360 since the blue angles add up to this amount (they form a full rotation).

So we have 6*180 - 360 as the expression that represents the sum of the interior angles for this hexagon. The hexagon doesn't have to be a regular polygon.

We can generalize to any polygon and not just hexagons. Simply replace that "6" with n and we get n*180 - 360 which is the same as 180n-360 = 180(n-2)

Answer:

No

Step-by-step explanation:

42 x 42 = 1764

43 x 43 = 1849

1764 + 1849 = 3613

and the sqaure roof of 3613 is 60.11

60.11 does not equal 58

so no it is not a right triangle

The correct statement for using the cumulative distribution function (cdf), F(x), to solve the probability P(X<12) is: F(12) - F(11), We subtract the cdf value at x-1 from the cdf value at x.

The cumulative distribution function (cdf), denoted as F(x), gives the probability that a random variable X takes on a value less than or equal to x. In this case, we are interested in finding the probability that X is less than 12, which can be expressed as P(X<12).

To calculate this probability using the cdf, we need to find the difference between the cdf values at 12 and 11. The cdf value at 12, denoted as F(12), gives the probability that X is less than or equal to 12. Similarly, the cdf value at 11, denoted as F(11), gives the probability that X is less than or equal to 11.

Since we want to find the probability that X is strictly less than 12, we subtract the probability that X is less than or equal to 11 from the probability that X is less than or equal to 12. Mathematically, this can be written as F(12) - F(11).

Therefore, the correct statement for using the cdf to solve P(X<12) is F(12) - F(11).

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Answer:

... what figure?

Step-by-step explanation:

you forgot to add a picture

Answer:

ummmm what...?........

Answer:

A and C

Step-by-step explanation:

42/200 = .21

76/200 = .38

Answer:

Apples and Pears

Step-by-step explanation:

21 % = Apples

41 % = Oranges

38 % = Pears

Probablity of less than 40% = pears and apples

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

for the 1st one, m=10 and b=2 because from the word problem it says it starts at 10 which would be 10 on the y axis being where the line would pass through and spending 2 a week would be the slope because he is losing 2 per week its a negative slope so y=10x-2.

for the second one m=48 and b=44 its just like the last one but with different numbers but comment if you want me to explain it but the answer is y=48x-44.

The mean age of the combined distribution of both men and women in the course is 20.47 years

What is average/mean ?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

Mean age of men , M = 20.7 years

Mean age of Women , W = 20.2 years

Percentage of Men = 54%

Percentage of Women = 46%

Recall, :

Mean, μ = np

The mean age of men in the distribution = (20.7 × 54%) = 11.178 years

The mean age of women in the distribution = (20.2 × 46%) = 9.292 years

The mean age of the combined distribution is :

11.178 + 9.292 = 20.47 years

Therefore, the mean age of the combined distribution is 20.47 years

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P(X = 4, Y = 2) = 0.055131

P(X = Y) = 0.35607

From the information given:

X represent no of Canon SLR

The PMF is given as:

X   :    0         1        2           3        4

p(x) :  0.1       0.2   0.3     0.25   0.15

p = P(customers that purchase the camera & also purchase an extended warranty.

As a result, the conditional distribution Y provided X approaches a Binomial distribution with n = x and p = 0.55 as the parameter.

\(\frac{Y}{X}\) ~ Bin ( n= x , p =0.55) y

     = 0.1 ........ x and X = 0,1,2,3,4.

The condition probabilities Y given X is:

\(P (\frac{Y = 0}{X = 0} ) =1\)

\(P (\frac{Y = 0}{X = 1} ) = 0.45 and P (\frac{Y = 1}{X = 1} ) =0.55\)

\(P (\frac{Y = 0}{X = 2} ) = 0.2025 and P (\frac{Y = 1}{X = 2} ) =0.495, P (\frac{Y = 2}{X = 2} ) =0.3025\)

\(P (\frac{Y = 0}{X = 3} ) = 0.091125 and P (\frac{Y = 1}{X = 3} ) =0.334125, \\P (\frac{Y = 2}{X = 3} ) =0.408375 and P (\frac{Y = 3}{X = 3} ) = 0.166375\)

\(P (\frac{Y = 0}{X = 4} ) = 0.0.041006 and P (\frac{Y = 1}{X = 4} ) =0.0.200475, P (\frac{Y = 2}{X = 3} ) =0.367538\)

\(P (\frac{Y = 3}{X = 4} ) = 0.299475 and P (\frac{Y = 4}{X = 4} ) =0.091506\)

Now, the joint P.D (probability Dist.) of X & Y is expressed as:

\(P (\frac{Y = y}{X = x} ) = P (\frac{Y = y. X = x}{X = x} )\)

\(P( X = x , Y = y) = P(\frac{Y = y}{X =x} ) * P(X =x)\)

The Joint P.D is;

                      Y                                                                      Total

             0              1                    2             3          4

X     0     0.1            0                  0              0         0                  0.1

      1      0.09        0.11              0               0         0                 0.2

  2    0.06075  0.1485      0.09075          0         0                 0.3

  3    0.022781 0.083531 0.102094   0.041594  0                0.25

  4    0.006151  0.030071  0.055131  0.044921  0.013726    0.15

Total  0.279682 0.372103  0.247974  0.086515 0.013726       1

(a)

P(X=4,Y=2)

From the table above:

P(X=4,Y=2)

 = 0.055131

(b)

P(X= Y)

= (P = 0 , Y = 0) + P( X =1, Y =1) + P( X=2, Y=2) + P(X=3,Y=3) + P(X=4,Y=4)

= 0.1 + 0.11 + 0.09075 + 0.041594 + 0.013726

= 0.35607

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(a) The numerical expression 13.52-7.8 = 5.72 represents the position of the fish relative to sea level after it rises 7.8 feet  , and

(b) After rising 7.8 feet , the position of the fish will be 5.72 feet below the sea level .

In the question ,

it is given that

depth at which fish swims below the sea level = 13.52 feet

height that fish rises = 7.8 feet

Part(a)

Since the fish has risen 7.8 feet ,

hence 7.8 feet will be subtracted from the original depth ,

the equation becomes 13.52 - 7.8 = 5.72  .

Part(b)

The position of fish after it rises 7.8 feet is calculated using

= 13.52 - 7.8

Subtracting 7.8 from 13.52 we get

= 5.72

Therefore , (a) the numerical expression 13.52-7.8 = 5.72 represents the position of the fish relative to sea level after it rises 7.8 feet  , and

(b) After rising 7.8 feet , the position of the fish will be 5.72 feet below the sea level .

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Answer:

5x  

2

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

I would use equation d

Step-by-step explanation:

because need to find out X which is the second section so you would do 60 subtract 35 which gives 25 so X would be 25 .

I hope this helped . if you need any more help pls ask :)

pls give brainliest if you like my answer :)

The bag that has the lowest unit price per pound is the 5 pound bag.

Unit price is the value of a single unit of measure.

A 3-pound bag of apples costs $3.94, and a 5-pound bag costs $5.92.

Let's find the unit price per pounds of each products to know the lowest.

Therefore,

unit price per pound  for the 3 pound bag = 3.94 / 3

unit price per pound  for the 3 pound bag = 1.31333333333

unit price per pound  for the 3 pound bag = $1.313 per pound

unit price per pound  for the 5 pound bag = 5.92 / 5

unit price per pound  for the 5 pound bag = 1.184

unit price per pound  for the 5 pound bag = $1.184 per pound

Therefore, the apple bag of 5 pound has the lowest unit price.

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The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

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The probability of waiting between 10 and 15 minutes at the Maryland Department of Motor Vehicles (DMV), given an exponential distribution with an expectation of 10 minutes.

The median waiting time, which represents the 50th percentile of the waiting time distribution, can be found by solving the equation involving the CDF of the exponential distribution. In this case, the median waiting time is approximately 6.9315 minutes.

The exponential distribution is often used to model the time between events that occur at a constant rate independently of past occurrences.

The parameter of the exponential distribution is the expectation or mean, which is given as 10 minutes in this case.

The probability of waiting between 10 and 15 minutes can be calculated by subtracting the probability of waiting less than 10 minutes from the probability of waiting less than 15 minutes.

This can be done using the CDF of the exponential distribution. Plugging in the appropriate values, the probability is approximately 0.0916, or 9.16%.

The median waiting time represents the time at which 50% of the waiting times are less than or equal to the median. In the exponential distribution.

The median can be calculated by solving the equation 1 - e^(-λt) = 0.5, where λ is the rate parameter of the distribution and t is the median waiting time.

In this case, the rate parameter is 1/10, as the expectation is 10 minutes. Solving the equation gives us t ≈ 6.9315 minutes, which is the median waiting time at the Maryland DMV.

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Answer:

a is the correct option

Step-by-step explanation:

The value of the correlation coefficient is -0.993, The correct option is A.

The coefficient used to determine how strong is the relation between the two variables in the data set is the Correlation Coefficient.

The correlation coefficient is determined by using the following formula

\(\rm r = \dfrac{ n(\sum xy) - \sum x\sum y}{\sqrt {n\sum x^2 - (\sum x)^2 }\sqrt{n\sum y^2 - (\sum y)^2}}\)

The values of the required data will be calculated from the data given

n = 4 rows

∑x = 42

∑y = 44.37

∑xy = 461.3

∑x^2 = 446

∑y^2 = 494

Putting the values in the equation of correlation coefficient:

r = -0.993

Therefore, the value of the correlation coefficient is -0.993, The correct option is A.

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Answer: won’t it be 50?

Step-by-step explanation:

Answer:

54

You are only rounding the .285 part. If it is below 0.5, it rounds to 54. If it is obove 0.5, it would round to 55. Bht the answer is 54.

Answer:

no

Step-by-step explanation:

the length and the width in one rectangle are the same as the length and width in a second rectangle, then yes those rectangles must be congruent. If you just mean the lengths of 2 rectangles are equal, but their widths are different, then no those rectangles are not congruent.

The length of the fence in feet if he uses all 72 feet of material is 33 feet.

Perimeter = 2(length + width)

72 = 2(x + 3)

72 = 2x + 6

72 - 6 = 2x

68 = 2x

x = 68/2

x = 33 feet

Therefore, the length of the fence in feet if he uses all 72 feet of material is 33 feet.

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The ability to order items in a sequence, such as longest to shortest, is known as Seriation.

Seriation is a cognitive skill that involves arranging objects, events, or ideas in a particular order or sequence. It is a crucial aspect of cognitive development and is typically acquired during early childhood. Seriation is the ability to mentally order objects along a quantitative dimension, such as size, weight, or length.

Seriation involves comparing and ordering items based on specific criteria. For example, if given a group of objects of different lengths, a child who has developed seriation skills will be able to arrange the objects in order from shortest to longest. Similarly, if given a group of numbers, a child who has developed seriation skills will be able to arrange them in order from smallest to largest.

Seriation is an important cognitive skill that is used in various areas of life, including academic, professional, and personal domains. It allows individuals to organize information and ideas in a logical and meaningful way, which can facilitate more efficient processing and understanding of complex concepts.

Overall, seriation is a fundamental cognitive skill that plays a crucial role in various aspects of life, including problem-solving, decision-making, and organization. It is an essential skill that supports the development of higher-order thinking skills, such as analysis, evaluation, and synthesis.

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Given:

Betty's monthly salary = $1770

Commision on sales = 14%

Betty sales for last month = $99,200

1. The amount of commission is 14% of $99,200.

Therefore, we have:

The amount of commission is $13,888

2. The gross pay.

Gross pay is the amount Betty receives before taxes and deductions.

Gross pay = Salary + Commission

Thus, the gross pay is:

$13888 + $1770 = $15,658

ANSWER:

1. Commission = $13,888

2. Gross pay = $15,658

The correct interpretation of the 95% confidence interval is:

"We estimate with 95% confidence that the true population mean height of orangutans is between 52 and 58 inches."

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.

The confidence interval provides a range of values within which the true population mean height is likely to fall with a 95% level of confidence. It does not provide information about individual orangutans' heights or the sample mean's precise location within the interval.

Therefore, The correct interpretation of the 95% confidence interval is:

"We estimate with 95% confidence that the true population mean height of orangutans is between 52 and 58 inches."

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Answer:

above sea level

Step-by-step explanation:

Answer:

reflect over the x-axis​

Step-by-step explanation:

Transformation is the movement of  point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

If a point A(x, y) is rotated 180° clockwise about the origin the new position would be A'(-x, -y)

If a point A(x, y) is reflected over the y-axis the new position would be A'(-x, y).

If a point A(x, y) is reflected over the x-axis the new position would be A'(x, -y)

If a point A(x, y) is translated a units left the new position would be A'(x-a, y).

The rectangle has points at (2, 2), (2, 5), (7,2), (7,5). If the rectangle is reflected over the x-axis the new position would be at (2, -2), (2, -5), (7, -2), (7, -5) which is at the fourth quadrant