(a) if we have a distribution of x values that is more or less mound-shaped and somewhat symmetrical, what is the sample size n needed to claim that the distribution of sample means x from random samples of that size is approximately normal? n ≥ (b) if the original distribution of x values is known to be normal, do we need to make any restriction about sample size in order to claim that the distribution of sample means x taken from random samples of a given size is normal? yes no

Answer:

rise over run go up y and right x

Answer:

Paralleogram Area = 98 cm²

Rectangle Area = 147 cm²

Total Area of Composite Figure = 245 cm²

Step-by-step explanation:

To find the area of paralleogram you have to take the odd part out and put it on the other side to make a rectangle. Then find the area of that rectangle. 7 * 14 = 98²

After that, Find the area of The regular rectangle. 7 * 21 = 147²

Then, do 98² + 147² = 245²

Thats how you get the answer of 245 cm²

:) hope it helped!

Given:

Correct answer is

Final options are:

The first term should be positive.

She did not distribute the -4 properly.

Answer

Distance = 4.1 km

Explanation

Let the distance between Jane's house from school be x

The distance can be calculated using pythagora's theorem

Therefore, the distance between Jane's house from school is 4.1 km

Using the triangle inequality theorem, the length of the third side is: D. 4 < c < 42.

The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

In this case, we know that side A measures 23 inches and side B measures 19 inches. To find possible values for side C, we can use the triangle inequality theorem by adding the lengths of sides A and B and comparing the sum to all possible values of side C.

A + B > C

23 + 19 > C

42 > C

So, the length of side C must be less than 42 inches.

Also

C > A - B

C > 23 - 19

C > 4

So, the length of side C must be greater than 4 inches.

Therefore, the possible side lengths of the third side, C, must be between 4 inches and 42 inches (not including 4 inches and 42 inches).

The answer is: D. 4 < c < 42

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Answer:

im doing work to im going to fail

Step-by-step explanation:

the empirical probability based on 1000 flips provides a better estimate of the theoretical probability p(h) for the unfair coin.

The empirical probability is based on observed data from actual trials or experiments. It involves calculating the ratio of the number of favorable outcomes (e.g., getting a "heads") to the total number of trials (flips). The larger the number of trials, the more reliable and accurate the estimate becomes.

When estimating the theoretical probability of an unfair coin, it is important to have a sufficiently large sample size to minimize the impact of random variations. With a larger number of flips, such as 1000, the estimate is based on more data points and is less susceptible to random fluctuations. This helps to reduce the influence of outliers and provides a more stable and reliable estimate of the true probability.In contrast, with only 30 flips, the estimate may be more affected by chance variations and may not fully capture the underlying probability of the coin. Therefore, the empirical probability based on 1000 flips provides a better estimate of the theoretical probability p(h) for the unfair coin.

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Answer:

Experimental probability

Step-by-step explanation:

Experimental probability is a probability that is determined on the basis of a series of experiments. A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial.

Answer:

115%

Step-by-step explanation:

115% percent increase in usual value, I may guess see other answrrs too

Answer:

30%

Step-by-step explanation:

The percentage increase is calculated as

\(\frac{increase}{original}\) × 100%

increase = £65 - £50 = £15 , then

percent increase = \(\frac{15}{50}\) × 100% = 15 × 2% = 30%

Answer:

49:35

Step-by-step explanation:

Divide 49 and 35 and then you can Get Answer..

Answer:

Step-by-step explanation:

ratio of 49 cm to 35 cm

=> 49:35 { divide by 7}

=> 7:5 cm

Step-by-step explanation:

x+50 = 180 because asim circle

x =180-130

x=150

Answer:

17.5

Step-by-step explanation:

x(x-4)=140

2x=140/4

2x=35

x=35/2

x=17.5

Answer:

5

Step-by-step explanation:

on day 1 you had 20 pieces and each day you lose 2 pieces. so that means your equation is y=-2x+20. So x = number of days, and y = pieces of candy. Plug in 10 for y, minus 20 to both sides, divide by -2 to each side. Then your answer is 5.

Answer:

k

Step-by-step explanation:

its just k, since 1k can be simplified to just k

Answer:

A. Multiply the term number by 2, then subtract 5

Step-by-step explanation:

Edge 2021

Answer:

-4 degrees

Step-by-step explanation:

You subtract 14-18

Triangle ABC is a scalene triangle because all three sides have different lengths.

To find the area of the triangle, we can use the formula for the area of a triangle:

Area = 1/2 * base * height

We can choose any side as the base, but let's choose AB. To find the height, we need to drop a perpendicular line from C to AB. The length of this line is the height.

First, let's find the length of AB:

AB = sqrt((5-3)² + (1-9)²) = sqrt(32)

Next, let's find the length of the perpendicular line from C to AB. We can use the slope of AB to find the slope of the line perpendicular to AB:

slope of AB = (1-9)/(5-3) = -4

slope of perpendicular line = 1/4

Now we can use the point-slope formula to find the equation of the line perpendicular to AB that passes through C:

y - 5 = 1/4(x - 9)

Simplifying:

y = 1/4x + 17/4

To find the point where this line intersects AB, we can set y = 0 and solve for x:

0 = 1/4x + 17/4

x = -17/4

This point is not on AB, so we need to find the length of the segment of the perpendicular line that is inside the triangle. We can use the distance formula to find the length of this segment:

AC = sqrt((9-3)² + (5-9)²) = 2sqrt(20)

BC = sqrt((5-9)² + (1-5)²) = 4sqrt(2)

The height of the triangle is the length of the segment of the perpendicular line inside the triangle, which is:

height = AC - BC = 2sqrt(20) - 4sqrt(2)

Now we can find the area of the triangle:

Area = 1/2 * AB * height

Area = 1/2 * sqrt(32) * (2sqrt(20) - 4sqrt(2))

Area = 16sqrt(5) - 16sqrt(2)

To find the perimeter of the triangle, we need to find the lengths of all three sides:

AB = sqrt(32)

AC = 2sqrt(20)

BC = 4sqrt(2)

Perimeter = AB + AC + BC = sqrt(32) + 2sqrt(20) + 4sqrt(2)

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Answer:

4\(x^{2}\)

Step-by-step explanation:

1st seperate the equation

\(\sqrt{16}\) and \(x^{2}\)

square root of 16 is 4, and x squared stays the same, so the equation becomes

4\(x^{2}\)

Answer:

Step-by-step explanation:

Answer:

this isnt a question? is it 853 times 4 and 853 times 3?

Answer:

-6g

Step-by-step explanation:

The given expression is

18×4(4÷393)-36+8

We would simplify by applying the correct order of operations which is known as PEDMAS where

P represents parentheses

E represents exponents

D represents division

M represents multiplication

A represents addition

S represents subtraction

Thus, we would simplify the terms in the parentheses first.

4/393

Then we would multiply 4/393 by 18 * 4. It becomes

18 * 4 * 4/393 = 288/393

The expression becomes

288/393 - 36 + 8

The next step is to add 36 and 8

36 + 8 = 44

The expression becomes

288/393 - 44

= (288 + 17292)/393

= 17580/393

The value of the variable is 9.3

What is a variable ?

Any mathematical object can be represented by a variable in mathematics as a symbol and placeholder. A variable can, for example, represent a number, a vector, a matrix, a function, the argument of a function, a set, or a set's component.

There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. Two major categories—categorical and numeric—can be used to group variables.

As you can see, categorizing variables into four separate groups is one approach to see them ( nominal, ordinal, interval and ratio).

0.9g - 2.1h

Substitute the values g = 15 , h = 2

0.9(15) - 2.1(2)

13.5 - 4.2

= 9.3

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Answer:

{y,x}={-22/5,11/10}

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

You are given two solutions to a 3-step inequality and are asked to describe them.

These inequalities have variable terms and constant terms on both sides of the comparison symbol. The expressions have been simplified.

These inequalities can be described as 3-step, because a straightforward solution can be accomplished in 3 steps. The first two steps separate the constant and variable terms, and the final step divides by the coefficient of the variable.

The process is virtually identical to that for solving a 3-step equation.

Allison's first step is to get rid of one of the unwanted variable terms by subtracting it from both sides. She chose the "3x" term, which has a smaller coefficient than the "5x" term, so the resulting difference will leave a positive coefficient on the x-term.

Then she removed the unwanted constant from the side with 2x by adding its opposite.

Since the x-term has a positive coefficient, Allison did not have to change anything about the inequality symbol when she divide both sides by that coefficient.

John used a first step similar to Allison's but he chose to eliminate the 5x term. The result was the x-term ended up with a negative coefficient. That introduces an extra bit of procedure at the end when he divides by the -2 coefficient of x: the inequality symbol must be reversed.

The constant term on the side with the x-term was removed by adding its opposite. This is the same step Allison performed as step 2.

When John finally divides by the coefficient of x, he has to reverse the inequality symbol, since that coefficient is negative.

__

Additional comment

You can compare one line of the solution to the one above to see what is different. Identifying that difference will tell you what step was taken to get the current line from the previous one. It helps to understand the way equations and inequalities are solved, so you better know what to look for.

The expression of x₄(t) = dt/dx₃(t) as a linear combination of rectangular pulses rect(T(t - t₀)) is: x₄(t) = -1 / (2 * d(|t|)/dt) * rect(T(t - t₀)) for |t| ≤ 1

To represent x₄(t) as a linear combination of rectangular pulses, we first need to compute dx₃(t)/dt, and then compute dt/dx₃(t). Let's start by finding dx₃(t)/dt.

Differentiating x₃(t) = 2 * tria(2t) with respect to t, we get:

dx₃(t)/dt = 2 * d(tria(2t))/dt

Now, let's calculate d(tria(2t))/dt by considering the different regions of tria(2t):

For |t| ≤ 1, tria(2t) = 1 - |2t|, so:

d(tria(2t))/dt = d(1 - |2t|)/dt = 0 - d(|2t|)/dt = -2 * d(|t|)/dt

For |t| > 1, tria(2t) = 0, so:

d(tria(2t))/dt = d(0)/dt = 0

Combining these results, we have:

dx₃(t)/dt = -2 * d(|t|)/dt for |t| ≤ 1

dx₃(t)/dt = 0 for |t| > 1

Next, we can compute dt/dx₃(t) by taking the reciprocal of dx₃(t)/dt:

dt/dx₃(t) = 1 / dx₃(t)/dt

For |t| ≤ 1, dx₃(t)/dt = -2 * d(|t|)/dt, so:

dt/dx₃(t) = 1 / (-2 * d(|t|)/dt) = -1 / (2 * d(|t|)/dt)

For |t| > 1, dx₃(t)/dt = 0, so: dt/dx₃(t) is undefined.

Note that for |t| > 1, the signal x₄(t) is undefined since dt/dx₃(t) is undefined in those regions.

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Please help me solve this, answer only please.

Let \(x3(t)=2tria( t/2)\), where tria(t) = { 1 − ∣t∣, ∣t∣ ≤ 1

                                                           { 0,         else

​Present signal \(x4(t)= dx3​(t)/dt\) as a linear combination of rectangular pulses of form rect ( t−t0/T) where rect(t) = { 1, ∣t∣ ≤ 1/2

                                                                       { 0, else

​

​

​

Answer:

he would only be able to bring 2 friends

Step-by-step explanation:

250- 100= 150    cost of table

150/ 40=3.75   cost of friends

He was would not be able to bring a .75 of a friend so you would have to round down.

Answer:

Yes, it would be appropriate to find a confidence interval for the proportion of voters choosing Kennedy since we have the necessary information (number of people who voted for Kennedy, number of people who voted for Nixon, and number of third-party votes) and the sample size (total number of voters) is large enough to assume a normal distribution. A confidence interval can provide an estimate of the true proportion of voters who chose Kennedy and the level of uncertainty around that estimate.

Answer:

17 pt

Step-by-step explanation:

Cause 8 quarts= 16 pt and i added 1 pint to it so its 17 pints

Remember 1 quart = 1 pint

Have a good day!

Using compound interest and continuous compounding, it is found that Lincoln would have $15,856 more in his account than Eli.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

Hence, for Lincoln, we have that the parameters are as follows:

P = 49000, r = 0.06125, n = 365, t = 20.

Hence the amount will be of:

\(A_L(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A_L(20) = 49000\left(1 + \frac{0.06125}{365}\right)^{365 \times 20}\)

\(A_L(20) = 166787\)

The amount is given by:

\(A(t) = Pe^{rt}\)

For Eli, we have that r = 0.05625, hence the amount will be given by:

\(A(t) = Pe^{rt}\)

\(A_E(20) = 49000e^{0.05625 \times 20} = 150931\)

It is given by:

\(D = A_L(20) - A_E(20) = 166787 - 150931 = 15856\)

Lincoln would have $15,856 more in his account than Eli.

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