35.09 divided by 0.29​

A data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.

Thus, a data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.

The given question is incomplete. The complete question is:

"Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be described as:

A. Symmetric distribution

B. Negatively skewed distribution

C. Positively skewed distribution

D. Bimodal distribution."

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The number line graph that matches the inequality solution to -6x + 3 < 3 + 6x is the one where all values to the left of the point representing -1 are shaded. This indicates that any value less than -1 satisfies the inequality.

In this inequality, we have -6x + 3 on the left side and 3 + 6x on the right side. To solve the inequality, we can start by subtracting 6x from both sides:

-6x + 3 - 6x < 3 + 6x - 6x

This simplifies to:

-12x + 3 < 3

Next, we can subtract 3 from both sides:

-12x + 3 - 3 < 3 - 3

This further simplifies to: -12x < 0

To isolate x, we divide both sides of the inequality by -12, remembering to reverse the inequality sign because we are dividing by a negative number:

(-12x)/-12 > 0/-12

This yields: x > 0

Thus, any value of x greater than 0 satisfies the inequality. On the number line graph, we shade all values to the right of 0, excluding 0 itself, indicating that these values are solutions to the inequality. The values to the left of 0 are not part of the solution.

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The claim is true. The reason for this is that the integral of an odd function over a symmetric interval about the origin is always zero.

Given that f(t), g(t), and h(t) are odd continuous functions, we can represent their respective integrals over the interval [-3, 3] as follows:

∫[-3,3] f(t) dt = 0 (since f(t) is odd)

∫[-3,3] g(t) dt = 0 (since g(t) is odd)

∫[-3,3] h(t) dt = 0 (since h(t) is odd)

Therefore, when we calculate the integral of the vector function r(t) = ⟨f(t), g(t), h(t)⟩ over the interval [-3, 3], we have:

∫[-3,3] (f(t)i + g(t)j + h(t)k) dt

= ∫[-3,3] f(t) dt i + ∫[-3,3] g(t) dt j + ∫[-3,3] h(t) dt k

= 0i + 0j + 0k

= 0.

Hence, the claim is true, and the integral of the given vector function over the interval [-3, 3] is indeed equal to zero.

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Answer:

test score of new student = 43

Step-by-step explanation:

28 x 72 = 2016 (total points class scored)

29 x 71 = 2059 (total points class scored after student joined)

2059 - 2016 = 43

The test score of the student who joined the class is 43.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The mean test score of 28 students is 72.

A student joins the class and the mean becomes 71.

We have to find the test score of the student who joined the class.

28 x 72 = 2016

29 x 71 = 2059 (total points class scored after student joined)

The difference between 2016 and 2059 is the test score of new student.

2059 - 2016 = 43

Hence, the test score of the student who joined the class is 43.

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Part A: Zachary Used Systematic Sampling
Part B: the percentage of the red car from each sample are:

Sample 1 - Red - 15% Black - 30%
Sample 2- Red - 20% Black - 20%
Sample 3 - Red - 10% Black  - 20%
Sample 4 - Red - 15% Black - 25%
Sample 5 Red - 10% Black - 25

In general, sampling allows researchers to collect enough data to address the study question(s) without having to poll the whole population, which saves time and money.

Part A: Based on the image, Zachary used systematic sampling method, and he  must have recorded the color of every fifth car that  was known to traveled north.

Part B: To know the percentage of red cars and black cars from all of  sample, we have to calculate the total number of cars in all  sample first and it is done below:

Sample 1:

Total cars = 3 + 5 + 3 + 6 + 3   = 20

The Percentage of red cars = (3/20) x 100%

                                          = 15%

The Percentage of black cars = (6/20) x 100%

                                             = 30%

Sample 2:

Total cars = 4 + 7 + 3 + 4 + 2      = 20

The percentage of red cars = (4/20) x 100%

                                       = 20%

The percentage  of black cars = (4/20) x 100%

                                         = 20%

Sample 3:

Total cars = 2 + 6 + 3 + 4 + 5

                  = 20

The percentage of red cars = (2/20) x 100%

                                       = 10%

The percentage of black cars = (4/20) x 100%

                                       = 20%

Sample 4:

Total cars = 3 + 4 + 4 + 5 + 4             = 20

The percentage of red cars  = (3/20) x 100%

                                                 = 15%

The percentage  of black cars = (5/20) x 100%

                                                  = 25%

Sample 5:

Total cars = 2 + 4 + 3 + 5 + 6

                  = 20

The percentage of red cars = (2/20) x 100%

                                             = 10%

The percentage  of black cars = (5/20) x 100%

                                                   = 25%

Part C:

From the finding in B above, we can easily conclude that the number of black cars observed were more than those of the red.

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Full Question

All changes saved Zachary took five random samples of cars that passed through the intersection near his school. He recorded the color of every fifth car that traveled north, and the results of his samples are organized in the table below.

                 Sample 1   Sample 2   Sample 3    Sample 4  Sample5

 red                3             4                   2                3                   2

white              5              7                    6                4                  4

blue                3               3                    3                 4                3

black              6              4                    4                 5                  5

gray                3              2                    5                 4                   6

Part A: What sampling method did Zachary use to gather his data?

Part B: Determine the percentage of red cars from each sample and the percentage of black cars from each sample.

Part C: Draw two conclusions about your findings from Part B.

To find the absolute maximum and minimum of the function f(x) = x + 4/x on the interval (1, 5), we can use the first derivative test and the endpoints of the interval.

First, let's find the critical points of f(x) by setting its derivative equal to zero and solving for x:

\(f'(x) = 1 - 4/x^2 = 0\)

Multiplying through by x², we get:

\(x^2 - 4 = 0\)

(x + 2)(x - 2) = 0

So, we have two critical points: x = -2 and x = 2.

Next, let's evaluate the function f(x) at the critical points and the endpoints of the interval:

f(1) = 1 + 4/1 = 5

f(5) = 5 + 4/5 = 5.8

f(-2) = -2 + 4/-2 = -4

f(2) = 2 + 4/2 = 4

From these evaluations, we can see that the absolute maximum value of f(x) on the interval (1, 5) is 5.8, which occurs at x = 5. The absolute minimum value of f(x) on the interval is -4, which occurs at x = -2.

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We have designed a situation where the probability of one event (event A) is 1/5 and the probability of another event (event B) is 1/10.

To quantify the probability of each event, we can define the following events:

Then, the probability of event A is 1/5, since 1 in every 5 units of product A is defective. Similarly, the probability of event B is 1/10, since 1 in every 10 units of product B is defective.

Now, let's consider a scenario where the company receives an order for 100 units of products, with 60 units of product A and 40 units of product B. The company wants to determine the probability of the following events:

To calculate the probability of event C, we need to consider the probability of selecting a defective unit from product A and from product B, and the proportion of each product in the order. Since the order has 60 units of product A and 40 units of product B, the probability of selecting a unit of product A is 60/100 = 3/5, and the probability of selecting a unit of product B is 40/100 = 2/5.

Using the probabilities of event A and event B, we can calculate the probability of selecting a defective unit from product A or from product B as follows:

Therefore, the probability of event C can be calculated as follows:

P(C) = P(A) * P(A in order) + P(B) * P(B in order)

= (1/5 * 3/5) + (1/10 * 2/5)

= 3/25

So the probability of selecting a defective unit from the order is 3/25.

To calculate the probability of event D, we can use the complement rule, which states that the probability of an event and its complement (i.e., the event not happening) add up to 1. Therefore, the probability of event D can be calculated as follows:

P(D) = 1 - P(C)

= 1 - 3/25

= 22/25

So the probability of selecting a unit from the order at random and finding that it is not defective is 22/25.

In summary, we have designed a situation where the probability of one event (event A) is 1/5 and the probability of another event (event B) is 1/10. We have also calculated the probability of two other events (event C and event D) in a scenario where a manufacturing company produces two types of products, with different probabilities of defects, and receives an order with a certain proportion of each product.

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Answer: y = 42°

Step-by-step explanation: You can find the second angle in that triangle because it is next to another 90° angle. Then you add 90 and 48 and subtract that number from 180 and you get 42. Hope this helps!

Answer:

42

pls mark brainliest if correct

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

Answer:

2261612416

Comment if you need help with this still

The linear inequality for the graph in this problem is given as follows:

y ≥ 2x/3 + 1.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 1, hence the intercept b is given as follows:

b = 1.

When x increases by 3, y increases by 2, hence the slope m is given as follows:

m = 2/3.

Then the linear function is given as follows:

y = 2x/3 + 1.

Numbers above the solid line are graphed, hence the inequality is given as follows:

y ≥ 2x/3 + 1.

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Answer:

they are both SSS

Step-by-step explanation:

you only have information of the sides.

hope it helps :)

This belief best illustrates the phenomenon known as political polarization, where individuals strongly align with their own political ideology and tend to view those with opposing beliefs as less correct and less trustworthy.

Political polarization refers to the deep divide and strong ideological alignment within a society, leading individuals to firmly adhere to their own political beliefs and view those with opposing views as less valid or trustworthy. Kate and Carmine's belief reflects this polarized mindset, where they both believe that their own political ideology is more correct and reliable compared to the opposing ideology.

Political polarization often leads to a lack of understanding and empathy between individuals with differing political beliefs, as each side tends to dismiss or devalue the perspectives of the other. This can hinder constructive dialogue and compromise, making it difficult to find common ground or reach consensus on important political issues. The phenomenon of political polarization has become increasingly prominent in many societies, shaping political discourse and contributing to social divisions.

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Answer:

60%

Step-by-step explanation:

Formula:

Percentage decrease = (amount of decrease)/(original price)

✪ Solve ✪

3.85 - 1.54/3.85 x 100

2.31/3.85 x 100 = 60%

Hence, Percent decrease is 60%

~Lenvy

By taking the quotients between the legs of the triangles, we will see that the pair that has hypotenuses with equal slopes are triangles 1 and 4.

Any two triangles where the quotient between the lenghts of the two legs are equal, have hypotenuses with equal slopes.

Here we will take the quotients between the heights and the bases of the triangles.

For triangle 1 the quotient is:

q₁ = 4/2 = 2

For triangle 2 the quotient is:

q₂ = 6/6 = 1

For triangle 3 the quotient is:

q₃ = 3/6 = 1/2

For triangle 4 the quotient is:

q₄ = 8/4 = 2

So we can see that the two triangles where the slopes of the hypotenuses are equal are triangles 1 and 4.

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Answer:

20

Step-by-step explanation:

Angle EAC and angle GCJ are corresponding angles.

So angle EAC is equal to 70 degrees.

Angle KAE is a right angle, so it is 90 degrees.

Angles on a line add up to 180 degrees.

x + 90 + 70 = 180

x = 180 - 160

x = 20

Answer:

The measurement of ∠x is 20°

Step-by-step explanation:

From this problem, we are given a few pieces of information. First we know that DE is parallel to FG. We also know that KL is perpendicular to FG. Perpendicular means that the angles from KL and FG are going to form right angles.

So, knowing this, we can start off my saying that the measurement of ∠KAE is 90°.

We can also say that the measurement of ∠IAD is 70° because it is correspondent to ∠JCG and corresponding angles have the same measurements.

So, now we can find x. Set up equation.

70 + x + 90 = 180

Add 70 to 90.

x + 160 = 180

Subtract 160 on both sides.

x = 20

So, the value of x is 20°

The equilibrium point is (60, 2400), the consumer surplus at the equilibrium point is $48,000, and the producer surplus at the equilibrium point is $36,000.

(a) The equilibrium point occurs when the quantity demanded by consumers equals the quantity supplied by producers. To find this point, we need to set the demand function equal to the supply function and solve for x.

Demand function: D(x) = 3000 - 10x

Supply function: S(x) = 900 + 25x

Setting D(x) equal to S(x):

3000 - 10x = 900 + 25x

Simplifying the equation:

35x = 2100

x = 60

Therefore, the equilibrium point occurs at x = 60.

(b) Consumer surplus at the equilibrium point can be found by calculating the area between the demand curve and the equilibrium price. Consumer surplus represents the difference between the price consumers are willing to pay and the actual market price.

At the equilibrium point, x = 60. Plugging this value into the demand function:

D(60) = 3000 - 10(60)

D(60) = 3000 - 600

D(60) = 2400

The equilibrium price is $2400 per unit. To find the consumer surplus, we need to calculate the area of the triangle formed between the demand curve and the equilibrium price.

Consumer surplus = (1/2) * (2400 - 900) * 60

Consumer surplus = $48,000

(c) Producer surplus at the equilibrium point represents the difference between the actual market price and the minimum price at which producers are willing to sell their goods.

To find the producer surplus, we need to calculate the area between the supply curve and the equilibrium price.

At the equilibrium point, x = 60. Plugging this value into the supply function:

S(60) = 900 + 25(60)

S(60) = 900 + 1500

S(60) = 2400

The equilibrium price is $2400 per unit. To find the producer surplus, we need to calculate the area of the triangle formed between the supply curve and the equilibrium price.

Producer surplus = (1/2) * (2400 - 900) * 60

Producer surplus = $36,000

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the total change in the stock market from the beginning of the day to the end of the day is 133.

HOPE IT HELPS...

Answer:

y = 2x^2 + 8x - 24

Step-by-step explanation:

This is a "working backwards" kind of a problem. You know the solution (the x-intercepts) and work backwards to find the equation. See image.

The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.

To define the supremum and infimum of the set A, we first need to determine the properties of the set.

The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.

To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.

Let's analyze the elements of A:

For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.

As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.

Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.

Again, analyzing the elements of A:

As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.

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Answer: Answer in picture

Step-by-step explanation:

Math

Answer:

Answer choice A

Step-by-step explanation:

because Line ur and rs are equal and lines UT and TS are equal

Answer:

-1

Step-by-step explanation:

Answer: 21/-21=-1

Step-by-step explanation:cut 21 two time,and add the minus and the answer -1

Average rate of growth over this period is 0.4%.

Average rate of growth over a period is given by:

A=P\(e^{rT}\) where,

A- Population at time T

P- Initial population

r-average rate of growth

T-Time period

Now, P=250,000, A=310,000 and T=21 (2000-1980+1)

therefore, putting values in the equation, we get:

310,000=250,000\(e^{21r}\)

⇒ \(e^{21r}\) = 1.24

⇒ 21r = log(1.24)

⇒ r = 0.0044 or 0.4%.

so, the average rate of growth over this time period is 0.4%.

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N is the set of natural numbers that are factors of 20={1,2,4,5,10,20}

Factors: A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product. There are two methods of finding factors: multiplication and division.

given in the question that, N is the set of natural numbers that are factors of 20

factors of 20 are = 1,2,4,5,10,20

so the set of factors of 20 is={1,2,4,5,10,20}

4th option is correct

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Answer:

It should be (1, 2, 4 , 5, 10, 20)

Diagram? There is no diagram given.

a.

\(i = \frac{180(n - 2)}{n} \)

\(i = \frac{180(12 - 2)}{12} = \frac{180(10)}{12} = \frac{1800}{12} \\ i = 150\degree\)

Cannot solve b without the diagram.

Answer:11/10

Step-by-step explanation:

Answer:

10x=11

Step-by-step explanation:

............