One player on the team wants to emphasize that his

team generally scored a lot of points. Which measure

of center should he report: the mean or the median?

O He should report the mean.

O He should report the median.

O He could report either because they are equal.

o The exact number of points per game are needed to

decide

Answer:

r = 23

Step-by-step explanation:

Using the formula

Solving for r

The acute triangle can not measure 90 degrees because the criteria requires angles to be less than 90 degrees.

Acute triangle is the triangle with all the angles less than 90 degrees. However, the acute angles should always add up to 90 degrees. There are different types of acute triangles such as scalene, isosceles and equilateral triangle.

Acute Equilateral triangle has all the equal sides, acute isosceles triangle has two equal sides and acute scalene triangle has three different sides with different lengths.

Apart from acute angles, there are many other types of angles like obtuse angle and right angle. Right triangle has a 90 degree angle and obtuse triangle has more than 90 degrees angle.

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Answer:

36%

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Hello, we can use the Remainder Theorem, so the remainder is P(-1)

\(P(-1)=3+2+2-1=6\)

Thanks

In interval estimation, when the sample size have become larger then the interval estimate then it will becomes narrower. Option (c) is correct.

A large sample of pattern length or decrease variability will bring about a tighter self belief c program interval with a smaller margin of error. A smaller pattern length or a better variability will bring about a much wider self belief c program interval with a bigger margin of error. The stage of self belief additionally impacts the c program interval width. The large your pattern, the greater certain you may be that their solutions genuinely mirror the population.

This suggests that for a given self belief stage, the bigger your pattern length, the smaller your self belief c program language period. The width of the self belief c program interval for an character observe relies upon to a massive volume at the pattern length. Larger research generally tend to provide greater unique estimates of effects (and therefore have narrower self belief intervals) than smaller research.

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Correct Question:

In interval estimation, as the sample size becomes larger, the interval estimate

a). remains the same, because the mean is not changing.

b). gets closer to 1.96.

c). becomes narrower.

d). becomes wider.

The area of the region enclosed by the curve r = 9cos(3θ) is (27/2)π.

What is integration?

In mathematics, and notably in calculus, integration is a fundamental notion. It is a mathematical process that seeks to determine a function's integral. The accumulation or total of all infinitesimally small changes in a quantity is represented by the integral.

To find the area of the region enclosed by the curve r = 9cos(3θ), we can set up a double integral in polar coordinates.

In polar coordinates, the area element is given by dA = r dr dθ. To determine the limits of integration, we need to find the values of θ where the curve intersects itself and encloses a region.

The polar curve r = 9cos(3θ) completes one loop for every 2π/3 radians, so we can integrate over the range 0 ≤ θ ≤ 2π/3. The corresponding limits for r can be determined by setting r = 0 and solving for θ.

At r = 0, we have:

0 = 9cos(3θ)

cos(3θ) = 0

The equation cos(3θ) = 0 has solutions at θ = π/6, π/2, 5π/6. These values divide the interval [0, 2π/3] into three subintervals.

Now we can set up the double integral:

Area = ∬R dA

Using polar coordinates, we have:

dA = r dr dθ

The limits of integration are:

0 ≤ r ≤ 9cos(3θ)

0 ≤ θ ≤ 2π/3

Thus, the double integral becomes:

Area = ∫[0 to 2π/3] ∫[0 to 9cos(3θ)] r dr dθ

Now we can evaluate this double integral:

Area = ∫[0 to 2π/3] (1/2)r² ∣[0 to 9cos(3θ)] dθ

Area = (1/2) ∫[0 to 2π/3] (81cos²(3θ)) dθ

Using the trigonometric identity cos²(3θ) = (1 + cos(6θ))/2, we can simplify further:

Area = (1/2) ∫[0 to 2π/3] (81/2)(1 + cos(6θ)) dθ

Area = (81/4) ∫[0 to 2π/3] (1 + cos(6θ)) dθ

Now we can integrate term by term:

Area = (81/4) [(θ + (1/6)sin(6θ)) ∣[0 to 2π/3]]

Area = (81/4) [(2π/3 + (1/6)sin(4π) - (1/6)sin(0))]

Simplifying further:

Area = (81/4) [(2π/3 + 0 - 0)]

Area = (81/4) (2π/3)

Area = (27/2)π

Therefore, the area of the region enclosed by the curve r = 9cos(3θ) is (27/2)π.

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Answer:

In triangle TEI and ERI

TI = RE ( given)

angle TDI = angle ROE ( given).

TE = RI ( given).

by side angle side criteria

both the triangles are congruent

by cpct ( corresponding parts of congruent triangles)

TD is congruent to RO

First make the graph of the functions, then  if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

Symmetric

A figure or shape that can be divided into two equal parts by a line is called symmetric figures.

Inverse Functions

The inverse function of a function f  is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by F^-1.

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(a) The differential equation that is satisfied by y is:

\(\frac{dy}{dt} = ky(1-y)\)

(b) To solve the differential equation, we separate the variables and integrate both sides:

\(\frac{dy}{y*(1-y)} = k*dt\)

Integrating both sides, we get:

\(\frac{lnly}{1-y} = k*t +c1\)

where C1 is an arbitrary constant of integration.

We can rewrite the equation in terms of y:

\(\frac{y}{1-y} = e^{(k*t+c1)}\)

Multiplying both sides by (1-y), we get:

\({y} = e^{(k*t+c1)} *(1-y)\)

\(y= \frac{C}{(1+(c-1)e^{-kt} }\)

where C = y(0) is the initial fraction of the population who have heard the rumor.

(c) In this case, the initial fraction of the population who have heard the rumor is y(0) = \(\frac{100}{1300}\) = 0.077. At noon, half the town has heard the rumor, so y(4) = 0.5.

Substituting these values into the equation from part (b), we get:

\(0.5= \frac{0.077}{1+(0.777-1) e^{-k4} }\)

Solving for k, we get:

\(k= ln(\frac{12.857}{4} )\)

Substituting this value of k into the equation from part (b), and setting y = 0.9 (since we want to find the time at which 90% of the population has heard the rumor), we get:

\(0.9= \frac{0.077}{1+(0.777-1) e^{-ln(12.857}*\frac{t}{4} }\))

Solving for t, we get:

t = 8.7 hours after the beginning (rounded to one decimal place)

A differential equation is a mathematical equation that relates a function to its derivatives. It is a powerful tool used in many fields of science and engineering to describe how physical systems change over time. The equation typically includes the independent variable (such as time) and one or more derivatives of the dependent variable (such as position, velocity, or temperature).

Differential equations can be classified based on their order, which refers to the highest derivative present in the equation, and their linearity, which determines whether the equation is a linear combination of the dependent variable and its derivatives. Solving a differential equation involves finding a function that satisfies the equation. This can be done analytically or numerically, depending on the complexity of the equation and the available tools.

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Rob has (1/2) * x - $25.75 of his earnings left from this week. This is obtained by subtracting the amount spent on bills and the cost of the video game from his total earnings.

To find out how much of his earnings Rob has left, we need to calculate the portion he spent and subtract it from his total earnings.

Given that Rob spends 1/2 of his earnings on bills, he has 1 - 1/2 = 1/2 of his earnings remaining.

If Rob buys a video game for $25.75, we can subtract this amount from his remaining earnings.

Let's say Rob's total earnings for the week were x dollars.

Amount spent on bills: (1/2) * x

Amount spent on the video game: $25.75

Remaining earnings: x - [(1/2) * x + $25.75]

Simplifying the expression, we have:

Remaining earnings: x - (1/2) * x - $25.75

Remaining earnings: (1/2) * x - $25.75

So, Rob has (1/2) * x - $25.75 of his earnings left from this week.

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Answer:

12 R cm

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Additive inverse means you just take off the negative sign to make the number a positive.

Answer:

11

Step-by-step explanation:

(8y + 5) - 2z

y = 3, z = 9

Let's plug in the given values.

(8(3) + 5) - 2(9)

First let's multiply.

(24 + 5) - 18

Now simplify within the parentheses.

29 - 18

Subtract.

11

This is your answer.

Hope this helps!

You can expect approximately 46 seeds to sprout from a packet of 50 seeds.

Based on the given information, we know that the germination rate for the bush bean seeds is 92%, which means that 92 out of 100 seeds planted and tended according to the directions will sprout. We also know that the selection of seeds for packets is random and all seeds are independent of one another. Therefore, we can use the binomial probability formula to determine the expected number of seeds that will sprout:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where:
n = 50 (number of seeds in the packet)
k = number of seeds that sprout
p = 0.92 (probability of a seed sprouting)
1-p = 0.08 (probability of a seed not sprouting)

Using this formula, we can calculate the expected value of X as follows:

E(X) = n * p
E(X) = 50 * 0.92
E(X) = 46

Therefore, we can expect around 46 seeds to sprout out of the 50 seeds in the packet. However, it's important to note that this is only an expected value and the actual number of seeds that sprout may vary.

To determine how many bush bean seeds you can expect to sprout from a packet of 50 seeds, you can use the germination rate provided and the assumption that all seeds are independent of one another.

Given:
- Germination rate = 92%
- Total seeds in the packet = 50

Since the seeds are independent, you can simply multiply the germination rate by the total number of seeds to calculate the expected number of seeds that will sprout.

Expected sprouts (X) = Germination rate × Total seeds
X = 0.92 × 50
X ≈ 46

So, you can expect approximately 46 seeds to sprout from a packet of 50 seeds.

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Both options a. A = 129.9° and b. A = 53.1° are correct.

To find the possible values for angle A in triangle ABC, we can use the Law of Sines, which states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

Using the Law of Sines, we have sin(A)/a = sin(B)/b. Plugging in the given values, we get sin(A)/36 = sin(51°)/35.

To find the two possible values for angle A, we can solve the equation sin(A)/36 = sin(51°)/35. Taking the arcsine of both sides, we have A = arcsin((sin(51°)/35)*36).

Calculating this expression, we find two possible values for angle A:

A ≈ 53.1° (rounded to the nearest tenth)

A ≈ 129.9° (rounded to the nearest tenth)

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Answer:

ok soo ik links are dangerous here but here is a app that can help you with you dont trust its ok I would`t

Step-by-step explanation:

A line, line segment, or ray that divides an angle into two congruent angles is called an angle bisector.

What are supplementary angles example?

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Similarly, complementary angles add up to 90 degrees.

What do you mean by angle bisector?

If the angle is divided by the line and the angle is divided such that the angles are equal to each other then the line is called the angle bisector.

The word congruent means equal of the things. In this, the angles are congruent to each other which means the angles are equal to each other.

Thus, the black space is to be filled by the angle bisector.

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Answer:

\(2 {x}^{2} - 6x \\ = 2x(x - 3)\)

Answer: 240ft

Step-by-step explanation:

Width:

10(15) + 10

= 150 + 10

= 160

Length:

4(15) + 20

= 60 + 20

= 80

L x W

= 160 + 80

= 240

I need help with this question too but less hope we get a answer

In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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Answer:

12.5

Step-by-step explanation:

49.00/3.92=12.5

The equation will be:

t = b - 2

And we can see that:

Here we have two variables:

t = taner's age

b = age of Tanner's brother.

The independent variable is the one that does not depend on the other, in this case (for how it is worded) is the brother's age.

The dependent variable depends on the other, on this case, Tanner's age.

Now let's write the equation, we know that Taner's age is 2 years less than his brother, then:

t = b - 2

That is the equation.

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The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). We can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

The UC Berkeley Institute of Governmental Studies conducted a poll in 2019 with 4,527 respondents in California, where 51.7% of them reported considering moving out of the state. The objective is to calculate a 95% confidence interval for the proportion of all Californians who considered moving out of state, given the sample size and proportion.

B. The formula to calculate the confidence interval for a proportion is:

CI = p^ ± z* √[(p^(1-p^))/n]

Where p^ is the sample proportion, n is the sample size, and z* is the critical value of the standard normal distribution for the desired confidence level. For a 95% confidence level, z* = 1.96.

Substituting the given values into the formula, we get:

CI = 0.517 ± 1.96 * √[(0.517*(1-0.517))/4527]

CI = 0.517 ± 0.013

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). Therefore, we can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

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Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from angle x, we know the opposite side and the adjacent side. Therefore, we should use the tangent function to solve.

tan(x) = 8/10

x = tan^-1(8/10)

x = 38.7 degrees

Hope this helps!

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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Safety data sheets (SDS) are not only required when there are 10 gallons. This statement is false. SDS, also known as material safety data sheets (MSDS), are required for hazardous substances, regardless of the quantity.

Safety data sheets provide detailed information about the potential hazards, handling, and emergency measures for substances. They are required under various regulations, such as the Occupational Safety and Health Administration (OSHA) Hazard Communication Standard (HCS) in the United States.

The quantity of the substance does not determine the need for an SDS. For example, even if a small amount of a highly hazardous substance is present, an SDS is still necessary for safety reasons.

SDS help workers and emergency personnel understand the risks associated with a substance and how to handle it safely. It is essential to follow proper safety protocols and provide SDS for hazardous substances, regardless of the quantity.

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Answer:

Exactly 28million

Step-by-step explanation:

Answer:

7x + 41

Step-by-step explanation:

2(x + 3) + 5(x + 7) ← distribute both parenthesis

= 2x + 6 + 5x + 35 ← collect like terms

= 7x + 41