find the image of the set s under the given transformation. the set s is the square bounded by the lines u = 0, u = 1, v = 0, and v = 1. the transformation is given by x = v, y = u(1 v 2 ).

The value of the z-test statistic is 1.79.

We have,

In this sampling scenario, we are trying to test whether the average score on a nationwide biology examination is different from 501.

We took a random sample of 100 exam scores, and the sample mean (average) was found to be 515, with a standard deviation of 78.

To determine an appropriate test statistic, we consider two factors: the sample size and whether the population standard deviation is known.

Since the sample size is large (100), we can use the z-test statistic.

This test statistic helps us compare the sample mean to the hypothesized population mean (501) while considering the variability of the data.

The z-test statistic formula involves calculating the difference between the sample mean (515) and the hypothesized mean (501), and then dividing it by the standard deviation of the population divided by the square root of the sample size.

In this case, the known population standard deviation is 78, and the sample size is 100.

By plugging in these values, we find that the z-test statistic is 1.79.

This value indicates how many standard deviations the sample mean is away from the hypothesized mean.

In simple terms, the z-test statistic helps us assess whether the difference between the sample mean (515) and the hypothesized mean (501) is large enough to conclude that the average score on the nationwide biology examination is different from 501.

A higher absolute value of the z-test statistic suggests a stronger evidence for a difference between the population mean and the hypothesized mean.

Thus,

The value of the z-test statistic is 1.79.

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Step-by-step explanation:

(A) squares are congruant .

(B) rectangle having equal length of same side is congruent.

(C)it is true because it have same side length are equal.

(D)it is true because same same side length are equal.

(E) it is truebecause same side length are equal.

The statements that are correct in the given question are: options A, B and C.

Quadrilaterals are figures or shape bounded by four straight sides. Thus each quadrilateral has its sum of interior angles to be \(360^{o}\). Examples include; rectangle, square, trapezium, rhombus, kite, parallelogram.

Considering the properties of each quadrilateral given in the question, it can be inferred that;

Therefore, the appropriate statements that are correct are: options A, B and C.

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I'll take a rain check.

Step-by-step explanation:

Given

\( \sqrt{4} \times (2) \\ \sqrt{ {2}^{2} } \times 2 \\ = 2 \times 2 \\ = 4

Hope it will help :)❤

Look at the explanation to understand.

Step-by-step explanation:

Step 1.

Apply the rule. (a) = a

For this expression, (2) = 2

\(\sqrt{4}\times2\)

Step 2.

Multiply 4 by 2.

4 × 2 = 8

Step 3.

Prime factorization of 8: 2³

\(\sqrt{2^3}\)

Step 4.

Apply the exponent rule. \((a^b^+^c=a^b\times a^c)\)

2³ = 2² × 2

\(\sqrt{2^2\times2}\)

Step 5.

Apply the radical rule. \(\sqrt{ab}=\sqrt{a}\sqrt{b}, a\geq 0, b\geq 0\)

\(\sqrt{2^2}\sqrt{2}\)

Step 6.

Apply the radical rule again. \(\sqrt{a^2}=a, a\geq 0\)

\(2\sqrt{2}=4\)

Hence, 4 is the answer.

Answer:

1 dollar 75 cents or $1.75

Step-by-step explanation:

Students do not likes to fly, can drive is 0.13. Therefore, the completed  relative frequency table is given below.

Given that, on a recent survey, students were asked if they like to fly and if they can drive.

Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario.

From the table

Likes to fly

Row totals = Can drive + Cannot drive

0.32+Cannot drive =0.70

Cannot drive =0.38

Can drive:

Column totals=Likes to fly + Do not likes to fly

0.32 + Do not likes to fly=0.45

Do not likes to fly=0.13

Cannot drive:

Column totals=Likes to fly + Do not likes to fly

0.38 + Do not likes to fly=0.55

Do not likes to fly=0.55-0.38

= 0.17

Row totals = 0.13 + 0.17

= 30

Students do not likes to fly, can drive is 0.13. Therefore, the completed  relative frequency table is given below.

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Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

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Answer:

18.99 + 22(F/9)

Step-by-step explanation:

18.99 for Carpet Pad plus 22 dollars for every 9ft

Area=2.5

Step-by-step explanation:

area

\(area = length \times width\)

\(area = 10 \times \frac{1}{4} \)

Answer:

29,100

Step-by-step Explanation

Multiply the annual tuition by 4. then subtract that by what he saved

uegduwgehegsbeuehjeeieie

Answer:y=x-2

Step-by-step explanation:

The ability of the normal distribution to approximate the binomial distribution under appropriate conditions justifies the use of the normal distribution for the sampling distribution of the proportion.

A sampling distribution is a statistical probability distribution derived from a larger number of samples gathered from a certain population. The sampling distribution of a particular population is the distribution of frequencies of a range of possible outcomes for a population statistic.

A population is the whole pool from which a statistical sample is selected in statistics. A population can be defined as a large group of people, things, events, medical visits, or measures. A population can thus be defined as an aggregate observation of persons linked by a common trait.

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The probability that Georgina will draw two blue marbles in two tries with replacement can be calculated by multiplying the probability of drawing a blue marble on the first try by the probability of drawing another blue marble on the second try.

First, let's calculate the probability of drawing a blue marble on the first try. There are a total of 16 marbles in the bag (7 green + 9 blue), so the probability of drawing a blue marble on the first try is 9/16.

Since the marble is replaced after each pick, the probability of drawing another blue marble on the second try is also 9/16.

To find the probability of both events occurring, we multiply the probabilities: (9/16) * (9/16) = 81/256.

Therefore, the probability that Georgina will draw two blue marbles in two tries to win the lottery is 81/256.

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a) To estimate the percentage with a 0.03 margin of error and a 99% confidence level, assuming nothing is known about the percentage, use the formula n = (Z^2 * p * q) / E^2. With a 99% confidence level, Z=2.576. Since nothing is known, use p=0.5 and q=0.5. Plugging values, n = (2.576^2 * 0.5 * 0.5) / 0.03^2 ≈ 1802.29. Rounded up, n=1803.

b) With prior knowledge of 60% success rate, use p=0.6 and q=0.4. n = (2.576^2 * 0.6 * 0.4) / 0.03^2 ≈ 1201.53. Rounded up, n=1202.
c) Comparing the sample sizes, part (b) results in a reduced sample size. The correct answer is B. No, using the additional survey information from part (b) only slightly reduces the sample size.

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Answer:

3

Step-by-step explanation:

12÷4=3

Have a good day:)

The Hamiltonian Federalists, Wilsonian Democrats, and New Dealers all advocated for a significant government role in the American economy.

Hamiltonian Federalists aimed for a strong central government that would promote economic development, Wilsonian Democrats sought progressive reforms and economic regulation, while New Dealers aimed for government intervention and social welfare programs.

Hamiltonian Federalists, led by Alexander Hamilton, believed in a strong central government with the power to shape and promote economic development. They advocated for policies such as a national bank, protective tariffs, and infrastructure development to stimulate industry and trade. Wilsonian Democrats, influenced by President Woodrow Wilson, aimed for progressive price and economic regulation.

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ANSWER:

EXPLANATION:

Given:

To find:

Which triangle is cos B = 0.8

For the 1st Triangle:

We have to first determine the value of side BC using the Pythagorean theorem as seen below;

So cosine B will be;

For the 2nd Triangle:

For the 3rd Triangle:

We have to first determine the value of side AB using the Pythagorean theorem as seen below;

So cosine B will be;

For the 4th Triangle:

So in the below triangle cos B = 0.8

The Beta distribution is a continuous probability distribution with support on the interval [0,1], and is often used to model random variables that have limited range, such as probabilities or proportions.

The Beta [a, b] density has the form f(x) = {[(a+b)/([(a) r()) } Xa-1 (1 - X)B-1 +, where a and b are constants and 0 <= x <= 1. This density function describes the probability of observing a value x from a Beta [a, b] distribution.

The parameters a and b are often referred to as shape parameters, and they control the shape of the distribution. Specifically, the larger the values of a and b, the more peaked the distribution will be, while smaller values of a and b will lead to flatter distributions.

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To solve a quadratic equation means to determine the values of x that are solution to such equation.

In the case of a quadratic equation you have two solutions for x.

Other two words for a solution of a quadratic equation, are roots and zeros of the equation.

The radius of the object is 19.4 inches

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The figure

Given that

C = 122 inches

The circumference is calculated as

C =2pi r

So, we have

2pi r = 122

This gives

r = 122/(2pi)

Evaluate

r = 19.4

Hence, the radius is 19.4 inches

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Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

Answer:

The chance of rolling a 1 is 1/6.

This means, that in 6 rolls, you would expect to get 1 roll on  a 1.

In 600 rolls, you would expect 100 rolls to land on a 1.

Let me know if this helps!

Step-by-step explanation:

(a) use surface area formula of cylinder that is for Lateral surface area and for total surface area

LSA= 2πrh

TSA= 2πr(h+r)

(b) volume of cylinder= πr^2h

..........

Answer:

243, 729, 2187

Step-by-step explanation:

Multiply the previous with 3

It's Geometric sequence

Brainliest please~

Answer:

-0.95

Step-by-step explanation:

Divide the percent by 100 and since you are decreasing it would be a negative.

The total current is given by ITotal = 0.2605 - j0.7635A2.

Calculation of total current:

According to the given circuit, resistance of the circuit = R = 100 Ω

Inductance of the circuit = L = 500 mH = 0.5 H

Capacitance of the circuit = C = 3.00 μF = 3.00 x 10^-6 F

Frequency of the circuit = f = 65.0 Hz

Voltage of the circuit = V = 120 V

Reactance of the circuit can be calculated as follows:

Xl = 2πfL = 2 x 3.14 x 65.0 x 0.5 = 204.2 Ω

Capacitive reactance can be calculated as:

Xc = 1/(2πfC) = 1/(2 x 3.14 x 65 x 3.00 x 10^-6) = 498.9 Ω

Total impedance can be calculated as:

Z = R + j(Xl - Xc)Z = R + j(204.2 - 498.9)

Z = 100 - j294.7

The total current is given by the ratio of the voltage and the total impedance:

ITotal = V/ZITotal = 120/(100 - j294.7)

ITotal = 0.2605 - j0.7635A2.

Total current obtained was ITotal = 0.2605 - j0.7635 A

Hence the results are identical.

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Second one is correct, The value of -a - c is positive

See, from the number line a = -6 and c = 2

Now, -a - c

= -(-6) -(2)

= +6 - 2 = 4

Which is true...

Answer:

you have to use the formula of a line passing through a point, so: y-y0=m(x-x0)

We also know that m=8, because it is parallel to the line y=(8=m)x -1

so: y-2=8(x+6)

and you solve it, so:

y-2=8x+48

y=8x+48+2

y=8x+50