The maximum number of marks attainable at a mathematics competition is 60 suppose you obtained 40 marks your brother obtained 46 marks and your sister obtained 49 marks the examination board decides that those who scored 80% and above will get gold medal those who scored 75% to 79% Inclusive will get a silver medal and those who scored 60% to 69% inclusive will get a bronze medal determine the type of medals each one of you will get

Answer: No, because the sample was not random.

Step-by-step explanation:

For the results to have been valid, the sample would have had to be random meaning that only some of the people were chosen to participate at random.

Instead, EVERY woman customer was asked which means they were not chosen at random as they should have been. Also, they only surveyed women when they should have taken a proper sample consisting of all customers.

Answer:

No, because the sample was not random.

Step-by-step explanation:

You get at least one value less than 6 and the second value is greater than 4 based on the simulation results.

To estimate the probability that you get at least one value less than 6 and the second value is greater than 4 using the simulation results in the dataframe df, we can follow these steps:

Filter the dataframe df to select the rows that meet the criteria: one value less than 6 and the second value greater than 4.

Calculate the total number of rows that meet the criteria.

Calculate the total number of rows in the dataframe df.

Divide the number of rows that meet the criteria by the total number of rows to estimate the probability.

Here's a Python code snippet to perform these steps:

# Step 1: Filter the dataframe

filtered_df = df[(df['wheel 1'] < 6) & (df['wheel 2'] > 4)]

# Step 2: Calculate the number of rows that meet the criteria

num_rows_meeting_criteria = filtered_df.shape[0]

# Step 3: Calculate the total number of rows in the dataframe

total_rows = df.shape[0]

# Step 4: Calculate the estimated probability

probability = num_rows_meeting_criteria / total_rows

# Print the estimated probability

print("Estimated probability:", probability)

By running this code with your specific dataframe df, you will obtain an estimate of the probability that you get at least one value less than 6 and the second value is greater than 4 based on the simulation results.

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the divergence of the vector field is:

div(v) = -7exy - 6e6xy + 4e9yz.

A vector field's divergence is defined as the scalar-valued function generated by the dot product of the gradient operator and F.

The term "div" is commonly used to describe divergence. A vector field's divergence can be computed by calculating the scalar product of the vector operator applied to the vector field. I.e., ∇ . F(x, y) (x, y).

F = Fx/x + Fy/y + Fz/z div(F) = F

Hence, we need to compute the partial derivatives of each component of the vector field F and then total them up:

Fx/x = -7exy; Fy/y = -6e6xy; Fz/z = 4e9yz.

by the above equation, we can say that

div(F) = -7exy - 6e6xy + 4e9yz

therefore, the vector field's divergence is:

-7exy - 6e6xy + 4e9yz = div(v).

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Answer:

C

Step-by-step explanation:

The slope is 8/5

Answer: I believe the answer is M= -4

Step-by-step explanation:

The sample standard deviation of the given data set is 0.2.

The given data set is 3, 4, 2, 3, 1, 5, and 4.

We need to find the sample standard deviation of the given data set.

Standard deviation measures the spread of data distribution. It measures the typical distance between each data point and the mean.

The formula we use for standard deviation depends on whether the data is being considered a population of its own, or the data is a sample representing a larger population.

If the data is a sample from a larger population, we divide by one fewer than the number of data points in the sample, n-1.

\(S_{x}=\frac{\sum(x_{i}-\bar{x} )^{2}}{n-1}\)

Now, \(\bar{x}=\frac{3+4+2+3+1+5+4}{7}=\frac{22}{7}= 3.14\)

\({\sum(x_{i}-\bar{x})\)=\((3-3.14)+(4-3.14)+(2-3.14)+(3-3.14)+(1-3.14)+(5-3.14)+(4-3.14)\)

=-0.14+1.14-1.14-0.14-2.14+2.14+1.14

\(S_{x}=\)(1.14)²/6

=0.2166≈0.2

Therefore, the sample standard deviation of the given data set is 0.2.

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The probability that an athlete used steroids, given that they tested positive, is approximately 0.5025%.

In order to calculate the probability that an athlete used steroids given the information provided, we need to know the probability that they tested positive. To do this, we can use the formula for conditional probability:

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

In this case, we are trying to find the probability that an athlete used steroids (A) given that they tested positive (B). We know that the probability of A is 1% and the probability of B is 0.5%, so we can calculate P(A and B) by multiplying these two probabilities together:

P(A and B) = 1% * 0.5% = 0.005%

Next, we need to calculate P(B), which is the probability that the athlete tested positive. Since we know the false positive rate and the true positive rate of the test, we can use these to calculate P(B) using the formula:

P(B) = P(A and B) + P(not A and B)

P(B) = P(A|B) * P(B) + P(not A|B) * P(B)

P(B) = 0.99 * 0.005% + 0.005 * (1 - 0.005%)

P(B) = 0.00495% + 0.005 * 0.999

P(B) = 0.0099495%

Now that we have P(A and B) and P(B), we can plug these values into the formula for conditional probability to calculate the probability that an athlete used steroids, given that they tested positive:

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

P(A|B) = 0.005% / 0.0099495%

P(A|B) = 0.5025%

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Answer:

turn it into a decimal first

Step-by-step explanation:

In public opinion polling, a sample as small as about 1,500 people can faithfully represent the "universe" of Americans.

The size of a sample needed for accurate representation of a larger population, known as the "universe," depends on several factors, including the desired level of confidence and margin of error. While larger sample sizes generally provide more precise estimates, they also require more resources and time. Statistically, a sample size of around 1,500 is often considered sufficient for accurately representing the opinions and characteristics of the larger American population.

The principle behind this is known as the "law of large numbers" and the "central limit theorem." These statistical concepts suggest that as the sample size increases, the sample's distribution becomes closer to the population's distribution. By using appropriate sampling techniques, such as random sampling, stratified sampling, or quota sampling, pollsters aim to select a diverse and representative subset of the population. Through statistical analysis, they can estimate the views and preferences of the larger population based on the responses collected from the sample. A well-designed and properly conducted survey with a sample size of around 1,500 individuals can provide reliable insights into the opinions and attitudes of Americans as a whole.

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Answer:

what's your grade 8m grade cod

Answer:

i think negative is 2

Step-by-step explanation:

I think, because i dont really understand your question :(

Answer:

Its 6.45

Step-by-step explanation:

we first need to know how much is one pane of glass so i divide

15.05÷ 7 and got $2.15

so each one pane of glass is $2.15

than i multiply 2.15 x 3 and got 6.45

So the cost is 6.45

Answer:

The area of the unpainted region on the four inch board = 160·√3 in.²

Step-by-step explanation:

Here we have that the boards are crossing each other on their flat sides Therefore, when the boards are separated, the area of the unpainted region is the area of a parallelogram

The dimensions of the formed parallelogram are;

Interior angles = 60° and 120° (adjacent angles of a parallelogram)

Height, h of parallelogram formed = 4 inches

From the angle of crossing of the parallelogram, we have;

Angle between the width or perpendicular cross section of the 6 inches board and the angle of crossing of the two boards = 90° - 60° = 30°

Therefore, length of base, b of the parallelogram formed by the unpainted region is given as follows;

\(b = \frac{60}{cos(30)} = 40\cdot \sqrt{3} \ inches\)

Therefore, the area of the parallelogram = b × h = 4 × 40·√3 = 160·√3 in.²

Hence, the area of the unpainted region on the four inch board = 160·√3 in.².

Answer:

Ratio of heights: 3 : 2

Ratio of surface areas: 9 : 4

Ratio of volumes: 27 : 8

Step-by-step explanation:

Since both cuboids are proportional, then we must derive expressions for the ratios of heights, surface areas and volumes from the following identities:

Perimeter

\(p' = k_{p}\cdot p\) (1)

Surface area

\(A'_{s} = k_{A_{s}}\cdot A_{s}\) (2)

Volume

\(V' = k_{V}\cdot V\) (3)

Where:

\(p\), \(p'\) - Perimeters of the small cuboid and the big cuboid, in inches.

\(A_{s}\), \(A'_{s}\) - Surface areas of the small cuboid and the big cuboid, in square inches.

\(V\), \(V'\) - Volumes of the small cuboid and the big cuboid, in cubic inches.

By means of geometry formulas we expand the system of equations below:

Perimeter

\(4\cdot (w' + h' + l') = k_{p}\cdot [4\cdot (w + h + l)]\)

\(4\cdot (k\cdot w'+ k\cdot h' + k\cdot l) = k_{p}\cdot [4\cdot (w+h+l)]\)

\(k_{p} = k\)

Surface area

\(2\cdot (w'\cdot h' + l'\cdot w' + l' \cdot h') = k_{A_{s}}\cdot [2 \cdot(w\cdot h + l \cdot w + l\cdot h)]\)

\(2\cdot [(k\cdot w')\cdot (k\cdot h') + (k\cdot l)\cdot (k\cdot w) + (k\cdot l)\cdot (k\cdot h)] = k_{A_{s}}\cdot [2\cdot (w\cdot h + l\cdot w + l\cdot h)]\)

\(k_{A_{s}} = k^{2}\)

Volume

\(w'\cdot h' \cdot l' = k_{V}\cdot (w\cdot h \cdot l)\)

\((k\cdot w)\cdot (k \cdot h)\cdot (k \cdot l) = k_{V}\cdot (w\cdot h \cdot l)\)

\(k_{V} = k^{3}\)

Where \(k = \frac{p'}{p}\).

If we know that \(p' = 30\,in\) and \(p = 20\,in\), then we proceed to calculate all the ratios:

\(k_{p} = \frac{30\,in}{20\,in}\)

\(k_{p} = \frac{3}{2}\)

\(k_{A_{s}} = \frac{9}{4}\)

\(k_{V} = \frac{27}{8}\)

Answer:

ratio of heights: (3/2)

Ratio of surface area: (9/4)

Ratio of volumes: (27/8)

Step-by-step explanation:

got this right, hope it helps :)

Answer:

\(x = \frac{11}{7} \: \: y = \frac{ - 1}{7} \)

step by step explanation:

\(2x + y = 3 - - - - - - -(1) \\ x - 3y = 2 - - - - - - (2) \\ multiplying \: equation \: 2 \: by \: 2\: \\ 2x + y = 3 \\ 2x - 6y =4 \\ subtracting \\ 7y = - 1 \\ dividing \: bothsides \: by \: - 7 \\ y = \frac{ - 1}{7} \\ put \: y = \frac{ - 1}{7} into \: equation \:(1) \\ 2x + \frac{ - 1}{7} = 3 \\ \\ 2x = \frac{3}{1} + \frac{ 1}{7} \\ 2x = \frac{21 + 1}{7} \\ 2x = \frac{24}{7} \\ dividing \: bothsides \: by \: 2 \\ x = \frac{11}{7} \)

Tthe surface area of the rectangular prism is 62 square centimeters.

(a) To visualize the net of the rectangular prism, two possible nets are shown.

(b) Using the net from part (a), we can determine the surface area of the prism.

Explanation:

(a) Unfortunately, as a text-based AI, I am unable to see or interact with images. However, the net of a rectangular prism consists of six connected rectangles that can be folded to form the prism. Each rectangle represents one face of the prism. To obtain the net, you can imagine unfolding the prism and flattening it out.

(b) The rectangular prism has three pairs of faces that have the same dimensions: the top and bottom faces, the front and back faces, and the left and right faces. The area of each pair of faces can be found by multiplying the length and width. The surface area of the prism is the sum of the areas of all six faces.

Given that the length is 5 centimeters, the width is 2 centimeters, and the height is 3 centimeters, we can calculate the surface area as follows:

- Area of the top and bottom faces: 5 cm * 2 cm = 10 cm² each

- Area of the front and back faces: 5 cm * 3 cm = 15 cm² each

- Area of the left and right faces: 2 cm * 3 cm = 6 cm² each

Adding up the areas of all six faces, we get:

10 cm² + 10 cm² + 15 cm² + 15 cm² + 6 cm² + 6 cm² = 62 cm²

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The measurement scale used in the given example is an ordinal scale.

An ordinal scale is a type of measurement scale used to categorize or rank objects or events based on their relative size, order, or position. In the given example, the soccer players are classified into three categories - superior, above average, and average based on their athletic ability, which is a relative measure of their ability compared to other players. The categories are not based on any numerical value or fixed criteria, but rather on a subjective assessment of their ability. Therefore, the data is on an ordinal scale.

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Answer:

What are the items?

Step-by-step explanation:

Answer:

Sum of the first 70 terms is 12,775

Step-by-step explanation:

For the 9th term, the formula is;

a + 8d = 50

For the 12th

a + 11d = 65

Subtract this from the equation above;

3d = 15

d = 15/3 = 5

To get a, we have a + 8(5) = 50

a = 10

The 70th term

will be

a + 69d

= 10 + 69(5)

= 355

Sum of the first 70

= n/2(a + L)

= 70/2( 10 + 355)

= 35 * 365 = 12,775

The 100th term in the given Arithmetic sequence is - 505

The series where the common difference between any two next terms stays constant is known as an arithmetic sequence.

It is a collection of numbers or integers that follow a pattern called a sequence. It is also defined as "every term in a sequence is obtained by adding or subtracting a fixed integer"

The formula for the common difference is given by

Common difference, d = Term2 - Term1  

The nth term in AP, T\(_{n}\) = a + (n-1)d

Here we have

Arithmetic sequence -10, -15, -20, -25, . . .    

Here common difference, d = Term2 - Term1

=> -15 - (-10) = -15 + 10 = -5  

As we know,

nth term in AP = a + (n-1)d

100th term in AP = -10 + (100 - 1)(-5)

= - 10 + (99)(-5)

= -10 - 495

= - 505

Therefore,

The 100th term in the given Arithmetic sequence is - 505

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The 100th term of the sequence is -505

The first term of the sequence is -10, and the common difference is -5. We can use the formula: to determine the 100th term.

nth term = a + (n-1)d

Where:

a = first term = -10

n = desired term = 100

d = common difference = -5

Plugging in these values, we get:

nth term = -10 + (-5)(100 - 1)

nth term = -10 + (-5)(99)

nth term = -10 -495

nth term = -505

Therefore, the 100th term of the sequence is -505

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Answer:

What r u asking to find. Show the directions

Step-by-step explanation:

Answer:

(x-1)  (x+8)

Step-by-step explanation:

Use the sum-product pattern:

x^2+7x-8

x^2+8x-x-8

Common factor from the two pairs:

x^2+8x-x-8

x(x+8)-1(x+8)

Rewrite in factored form:

x(x+8)-1(x+8)

Solution:

(x-1) (x+8)

Answer:

It should be A

Step-by-step explanation:

If you need an explanation lmk

The equivalent equation to the given logarithm is log₃9=2.

A log function can be used to determine how much a given number must always be raised to reach the desired result.

aˣ = b

This can be written as;

logₐ b = c

For the expression;

3² = 9

Given what we know about just the logarithm, the following is how we can represent the given equation:

3² = 9

log₃9 = 2

Consequently, the equivalent equation of 3² = 9 could be expressed as log₃9=2.

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The correct question is-

Which logarithmic equation is equivalent to 3^2 = 9?

The measure of angle 1 is 67.4°. The measure of angle 2 is 104.5°.

An angle is the measure of the amount of rotation between two lines or two planes that meet at a point. It is typically measured in degrees or radians. An angle can be acute, meaning it is less than 90 degrees, right, meaning it is exactly 90 degrees, obtuse, meaning it is greater than 90 degrees but less than 180 degrees, or straight, meaning it is exactly 180 degrees. An angle can also be positive or negative, depending on the direction of rotation between the lines or planes. Angles are used in various fields such as mathematics, engineering, physics, and geometry.

Here,

180-121.8=58.2°

180-(58.2+17.3)=104.5°

180-104.5=75.5°

180-(75.5+37.1)=67.4°

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Answer:

(-6, -3)?

Step-by-step explanation:

perimeter = length plus

breadth

8cm +7cm + 5cm

= 20

Answer:

No.

Step-by-step explanation:

f(x) = 3x^4-4x^2-3

If a function is odd then  f(-x) = -f(x) for all values of x.

Here f(-x) = 3(-x)^4 - 4(-x)^2 - 3

= 3x^4 - 4x^2 - 3

So f(-x) = f(x) which makes it even.

Question:

Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?​

Answer:

\(x \le 18\)

Step-by-step explanation:

Given

\(Border\ Material = 72\)

Required

Determine an inequality for x

Represent the side lengths of the border with y. So:

Since the border is on the 4 sides, then

\(4y = 72\) -- i.e. the perimeter of the border material

Solve for y

\(y =\frac{72}{4}\)

\(y =18\)

Recall that x represents the board's side length.

Since x will be situated inside the boarder, then.

\(x \le y\)

Substitute \(y =18\)

\(x \le 18\)