In tests of significance about an unknown parameter of some population, which of the following is considered strong evidence against the null hypothesis?
A. The value of an estimate of the unknown parameter based on a simple random sample from the population is not equal to zero.
B. The value of an estimate of the unknown parameter lies within 2 units of the sample value.
C. We observe a value of an estimate of the unknown parameter based on a simple random sample from the population that is very consistent with the null hypothesis
D. We observe a value of an estimate of the unknown parameter based on a simple random sample from the population that is very unlikely to occur if the null hypothesis is true.

Answer:

Step-by-step explanation:

-4.32193257293

Answer: 5π         OR       15.70796327

Step-by-step explanation:

Formula for circumference is C=2πr (radius)   OR      C=πd    (diameter)

Our radius is 5 units, so our diameter is 10 units

C=10π

However, the question is only asking for length of semicircle

So you have to divide: 10π/2=5π

Answer:

Step-by-step explanation:

2w = 2w + 1

2w - 2w = 1

w(2 - 2) = 1

0w = 1

w = 1/0

w is undefined

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

why

Step-by-step explanation:

Answer:

y = -1/3 x + 7

y = -1/3 x + 6

y = -1/3 x + 4

Step-by-step explanation:

All of these are parallel to the line created on the graph

Answer:

y = -1/3 x + 7

y = -1/3 x + 6

y = -1/3 x + 4

(please tell me if I'm wrong or if I missed something)

Answer:

A or b not to sure

Step-by-step explanation:

Answer:

$ 27.6.

Step-by-step explanation:

Let the cost of tea be C.

Let the mass of tea be M

From the question given, we were told that the cost of tea varies directly with the mass. This can be expressed as:

C & M

C = KM

K is called constant of proportionality.

C is the cost of the tea.

M is the mass of tea.

Next, we shall determine the constant of proportionality, K.

Cost (C) = $ 10.35

Mass (M) = 4.5 kg

Constant (K) =..?

C = KM

10.35 = K × 4.5

Divide both side by 4.5

K = 10.35/4.5

K = 2.3

Finally, we shall determine the cost of 12kg of tea as follow:

Mass (M) = 12 kg

Constant (K) = 2.3

Cost (C) =..?

C = KM

C = 2.3 × 12

C = $ 27.6

Therefore, the cost of 12 Kg of tea is $ 27.6

Answer:

$27.6

Step-by-step explanation:

10.35 divided by 4.5 = 2.3

$2.3 for 1 kg

2.3 times 12= 27.6

The relative velocity of the two cars moving with velocity 70km/hr in east and west direction is 140km/hr

Let a and b be the two cars respectively.

Then,

velocity of a, Va (east) = 70 km/hr

velocity of b, Vb(west) = -70km/hr

Relative Velocity (Va/Vb) = Va - Vb

Substituting the values, we get

Va/Vb = 70 - (-70)

          = 70 + 70

          = 140km/hr

Therefore, the relative velocity of the two cars are 140km/hr

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The correct question is -

Two cars are moving with velocity 70km/hr in east and west direction respectively. Find their relative velocity.

78

Step-by-step explanation

by adding all the number and divide by the number of number

Answer:

78

Step-by-step explanation:

add all and divide by 7

We can find the area of the full circle using the formula for the area of a circle, and then subtract the area of the slice to find the surface area that the owner will need to paint.

Explanation:

The area of a circle is given by the formula:

Area = πr²

Since the diameter of the circular sign is 5 feet, the radius is 2.5 feet. Plugging in this value for r, we get:

Area = 3.14 x (2.5)²

Area = 19.625 square feet

To find the area of the slice that will be removed, we need to know the angle of the slice. Since the diameter is 5 feet, the circumference of the circle is 5π feet. If we remove a slice S from the circle, the remaining circumference will be (5π - S) feet. To find the angle of the slice in radians, we can divide the length of the slice by the circumference and multiply by 2π:

S/(5π) x 2π = 2S/5

The area of the slice can be found using the formula for the area of a sector:

Area of slice = (2S/5) x (2.5)² x 3.14 / 360

Simplifying, we get:

Area of slice = 0.05536S

To find the surface area that the owner will need to paint, we can subtract the area of the slice from the area of the full circle:

Surface area = 19.625 - 0.05536S

We do not know the exact value of S, but we can see that the surface area will decrease as the size of the slice increases. Therefore, the maximum surface area that the owner will need to paint will be 19.625 square feet, when the slice is 0.

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a) The minimum number of wins he needs is 15. b) The standard deviation of X is σ = sqrt(Var(X)) ≈ 3.641. c) Standard normal table ≈ 0.411.

In part (a), we can use the formula for a binomial distribution to find the minimum number of wins Sam needs to break even. Let X be the number of wins in 520 spins, then X ~ Bin(520, 1/38). To break even, Sam needs to win at least $520, which means he needs at least m wins where 35m ≥ 520, or m ≥ 14.86. Since m must be an integer, the minimum number of wins he needs is 15.

In part (b), we can use the mean and variance of a binomial distribution to find the mean and standard deviation of X. The mean of X is E(X) = np = 520*(1/38) ≈ 13.684, and the variance of X is Var(X) = np(1-p) = 520*(1/38)*(37/38) ≈ 13.255. Therefore, the standard deviation of X is σ = sqrt(Var(X)) ≈ 3.641.

In part (c), we can use the Normal approximation to the binomial with the continuity correction to find P(X ≥ 15). Using the continuity correction, we can convert the discrete probability P(X ≥ 15) to a continuous probability P(X > 14.5). Standardizing X, we get Z = (14.5 - 13.684) / 3.641 ≈ 0.224. Using a standard normal table, we can find that P(Z > 0.224) ≈ 0.411. Therefore, P(X > 14.5) ≈ 0.411.

This answer is closer to the exact probability of 0.396 than the previous estimate of 0.10 too large, but it still overestimates the probability slightly. This could be due to the fact that the Normal approximation to the binomial assumes a continuous distribution, while the binomial distribution is discrete. Nonetheless, the Normal approximation with continuity correction is a useful tool for approximating probabilities in situations where the sample size is large.

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The simplified expression is 26 - 4x.

To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.

6 - 4(x - 5)

First, distribute -4 to the terms inside the parentheses:

6 - 4x + 20

Now, combine like terms:

(6 + 20) - 4x

Simplifying further:

26 - 4x

Therefore, the simplified expression is 26 - 4x.

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Answer:

They are reflexive

They are symmetric

They are transitive

total spent is = 45$

let money spent on snack is x

let money spent on rides is y

so the equation of the expenses is ,

x + y = 45

thus, the answer is

x + y = 45

Option B : because the amount of money Tanner plans to spend on video games plus the amount of money he plans to spend on art supplies must add up to the $350 he saved.

Tanner saved $350 and plans to spend some of it on art supplies and some on video games. This means that the amount of money he spends on video games plus the amount of money he spends on art supplies must add up to $350.

Let a represent the amount of money Tanner plans to spend on art supplies. Then we have the following equation:

v + a = 350

Solving for a, we get:

a = 350 - v

This means that the amount of money Tanner plans to spend on art supplies is 350 minus the amount of money he plans to spend on video games.

Since Tanner cannot spend a negative amount of money on video games, v must be less than or equal to 350. Therefore, the correct inequality is v ≤ 350.

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Tanner saved $350 this summer. He plans to spend some of the money on art supplies and some on video games.

Let v represent the money, in dollars, Tanner plans to spend on video games. Which inequality models the story? explain?

A. v > 350________

B. v ≤ 350______

C. v <350________

D. v ≥ 350

Answer:

Rational.

Step-by-step explanation:

This is because

\(19 \div 9 = 2.1111111...\)

Where the product is a recurring decimal and recurring /repeating decimals are rational.

Hope this helps... :-)

Answer:

m= -1/2

this is the answer

Step-by-step explanation:

Slope is \(\frac{rise}{run}\), so the slope is \(\frac{y}{x}\), which also equals \(-\frac{37}{4}\).

Answer:

-0.4........................

There are 27,720 different arrangements of red and yellow roses.

The total number of roses is 8 + 4 = 12. To find the number of different arrangements, we can use the formula for permutations, which is:

n! / (n - r)!

where n is the total number of objects and r is the number of objects we want to arrange.

In this case, we want to arrange all 12 roses, so n = 12. The number of red roses is 8, so r = 8. Therefore, the number of different arrangements of the roses is:

12! / (12 - 8)! = 12! / 4! = 27,720

So there are 27,720 different arrangements of the 8 red roses and 4 yellow roses.

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Answer:

the mean is 61.44, the lower quartile is 51, and the upper quartile is 65

Step-by-step explanation:

we need to first sort the data in ascending order:

49, 49, 51, 52, 53, 58, 63, 67, 71

The mean is the average of all the numbers in the data set:

Mean = (49 + 49 + 51 + 52 + 53 + 58 + 63 + 67 + 71) / 9 = 553 / 9 = 61.44 (rounded to two decimal places)

To find the lower quartile, we need to find the median of the lower half of the data set. Since there are an odd number of values in the data set, we exclude the median value from the lower half. The lower half of the data set is:

49, 49, 51, 52, 53

The median of the lower half is the middle value, which is 51. Therefore, the lower quartile is 51.

To find the upper quartile, we need to find the median of the upper half of the data set. Again, we exclude the median value from the upper half since there are an odd number of values. The upper half of the data set is:

58, 63, 67, 71

The median of the upper half is the middle value, which is (63 + 67) / 2 = 65. Therefore, the upper quartile is 65.

Answer: Lower quartile=51.5, mean=58, and highest quartile=65.

Step-by-step explanation: To find the lower quartile you have to find the median of the lower half. In this case, the lower half is 49, 51, 52, and 53.  Since there are two numbers, we have to find the average of them (51, 52). To find the average, add them together, which would be 103. Now, divide 103 by 2 which would be 51.5 (the lower quartile). To find the mean, add all the numbers together (464) and divide them by the number of numbers that are on there (8). So, 464/8 is 58. To find the highest quartile, find the median of the upper half. In this case, we have find the average of 63 and 67. So, add 63 and 67 which would be 130, and divide by 2 (which would be 65). Hope this helped and have a great day!

Answer:76

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of gas varies directly as the cube of its radius.

Find k:

Volume of the smaller balloon:

The difference in volumes is the volume of released gas:

The statement is

1) T - This statement is true. The derivative of a sum is the sum of the derivatives.
2) T - This statement is true. The derivative of a product is the sum of the derivatives of the factors multiplied by each other.
3) T - This statement is true. The derivative of a composite function is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function.
4) T - This statement is true.
5) T - This statement is true.
6) F - This statement is false. The derivative of e^x is e^x, not e^(x+1).
7) T - This statement is true. The derivative of a constant is zero.

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x = the age of his son now, then the age of the father is 4x.

In 20 years,

son's age = x + 20

father's age = 4x + 20

solve the equation for x:

4x + 20 = 2(x + 20)

4x + 20 = 2x + 40

2x = 20

x = 10

So the age of his son now is 10, and the age of the the father now is 40.

We can express this as:

x + 2x = £3.45

We can solve for x with no additional work.

x + 2x = £3.45
3x = £3.45
3x/3 = £3.45/3
x = £1.15

Im guessing you're British by the use of the £ symbol, and I don't understand what "dearer" means as in America we don't use that term. I'll just give you both values.

x = £1.15 (this is the first book)
2x = £2.30 (this is the second book, which costs twice as much as the first.)

Answer:

Step-by-step explanation:

that a huge prob but yah

True, the links in the blockchain are created using an algorithm.

What is blockchain?                                                                                                                                                                                                                       Blockchain is a decentralized ledger technology that enables the secure exchange of digital assets across a network of participants without the need for a centralized authority or intermediary. The blockchain is created using an algorithm to secure the network and ensure that all transactions are transparent and verifiable.

In a blockchain, each block contains a cryptographic hash of the previous block, forming a chain of blocks (hence the name "blockchain"). The algorithm used to create the blockchain is a consensus algorithm, which ensures that all participants on the network agree on the same state of the ledger.

This consensus algorithm also ensures that no single participant can manipulate the ledger or change the contents of a block without being detected.

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