if our alternative hypothesis is h1: p1 – p2 < 0, under what circumstances would be reject h0: p1 – p2 = 0?a. when Z0 < -Zab. when |Z0| > -Zac. when p-value < ad. when Z0 > Za

Answer:

the chances of her picking a yellow one is 6 in 35

Step-by-step explanation:

In a standard 52-card deck, the probabilities of different poker hand combinations are calculated. These include a Royal Flush, Straight Flush, Four of a Kind, Flush, Three of a Kind, and Two Pairs.

In a standard 52-card deck, the probability of each poker hand combination can be calculated based on the total number of possible hands (combination) and the number of hands that satisfy the specific combination.

(a) Royal Flush: The probability of getting a Royal Flush is 4/(52 choose 5), as there are only 4 possible Royal Flush combinations (one for each suit) out of the total combinations.

(b) Straight Flush: The probability of obtaining a Straight Flush is (10 - 4) * 4 / (52 choose 5), as there are 10 possible consecutive card sequences (excluding Royal Flush) for each suit.

(c) Four of a Kind: The probability of getting Four of a Kind is 13 * (48 choose 1) / (52 choose 5), as there are 13 possible ranks for the set of four cards, and any one of the remaining 48 cards can complete the hand.

(d) Flush: The probability of achieving a Flush is (4 choose 1) * (13 choose 5) / (52 choose 5), as there are 4 suits to choose from and 13 ranks to choose from within the selected suit.

(e) Three of a Kind: The probability of obtaining Three of a Kind is 13 * (4 choose 3) * (48 choose 2) / (52 choose 5), as there are 13 possible ranks for the set of three cards, 4 ways to choose the suits, and 48 cards remaining to choose from.

(f) Two Pairs: The probability of getting Two Pairs is (13 choose 2) * (4 choose 2) * (4 choose 2) * (44 choose 1) / (52 choose 5), as there are 13 possible ranks for the pairs, 4 ways to choose the suits for each pair, and 44 remaining cards to choose from.

the probabilities of different poker hand combinations in a standard 52-card deck can be calculated based on the total number of combinations and the number of hands that meet the specific combination requirements. The probabilities vary depending on the rarity and specificity of each combination.

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Answer:

D

Step-by-step explanation:

One number will be positive, and one will be negative

Answer:

The answer is option D

Step-by-step explanation:

multiplication of numbers having opposite signs will result in a number having negative sign .

In response to the supplied query, we may state that Hence, Brenda's Pythagorean theorem home is around 7.2 kilometers away from the school.

The fundamental Euclidean geometry relationship between the three sides of a right triangle is the Pythagorean Theorem, sometimes referred to as the Pythagorean Theorem. This rule states that the areas of squares with the other two sides added together equal the area of the square with the hypotenuse side. According to the Pythagorean Theorem, the square that spans the hypotenuse (the side that is opposite the right angle) of a right triangle equals the sum of the squares that span its sides. It may also be expressed using the standard algebraic notation, a2 + b2 = c2.

Points A, B, and C can be used to create a right triangle in this situation. The hypotenuse of the line segment between points A and C is its length, while the other two sides are the lengths of the segments connecting A and B and B and C.

We'll refer to the separation between positions A and C as "x". Next, we have:

\(x2 = 6 + 4, x2 = 36 + 16, x2 = 52, x = \sqrt(52) = 7.2.\)

Hence, Brenda's home is around 7.2 kilometers away from the school.

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Answer:

6/5

Step-by-step explanation:

rise/run

I hope this is right! :D

Answer:

The slope would be 6/5

In "Small Loan, Big Effect" and "The Courage of Mum Bett," the authors share similar points of view about their subjects. Both articles highlight the subjects' determination and resilience. In "Small Loan, Big Effect," the author praises Yunus for his belief in the power of microfinance to uplift individuals from poverty.

Similarly, in "The Courage of Mum Bett," the author admires Bett's bravery and strength in fighting for her freedom and the abolition of slavery. Both authors emphasize the subjects' ability to challenge the status quo and make a significant impact. The texts provide evidence of their subjects' transformative actions, showcasing their shared perspective on the subjects' inspiring qualities.

Both articles portray the subjects in a positive light, highlighting their remarkable qualities and accomplishments. In "Small Loan, Big Effect," the author's admiration for Muhammad Yunus is evident in the praise given to his innovative approach to poverty alleviation through microfinance. The author emphasizes Yunus's belief in the potential of even the poorest individuals to become self-sufficient and successful, highlighting their shared point of view on the subject's determination.

Similarly, in "The Courage of Mum Bett," the author's admiration for Bett's courage and resilience is evident throughout the article. The author emphasizes Bett's decision to challenge the institution of slavery and fight for her freedom, as well as her involvement in the legal case that led to the abolition of slavery in Massachusetts. The portrayal of Bett's actions and character reflects the author's shared perspective on the subject's determination and resilience.

By showcasing their subjects' transformative actions and emphasizing their inspiring qualities, both authors demonstrate a similar point of view on the subjects in their respective articles.

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Answer:

\(\huge\boxed{\sf -2.280}\)

Step-by-step explanation:

Finding value of log₃(4/49):

\(\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\\)

Given that:

log₃4 ≈ 1.262, log₃7 ≈ 1.771

Put the values in the above expression

\(= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}\)

Answer:

Total messages - Your messages = sisters amount of messages

TM - YM=SM (sisters messages)

26-12=14 is the amount of messages your sister sent in a day

Answer:

26-12=14

Step-by-step explanation:

:))))

Answer:

B. m - 25

Step-by-step explanation:

I) Since Connie spent the money, $25 would be deducted, or subtracted.

II) Since m represents her birthday money, the final expression would be m - 25. So the answer is B.

The volume of the solid the region defined by the given curves must be rotated about the x-axis is V = \(\frac{384\pi }{5}\).

Given that,

The region defined by the given curves must be rotated about the x-axis to determine the solid's volume, which is y =6 -x², y =2.

We know that,

Take the equation of the curves about the x- axis

y =6 -x², y =2.

Substitute y = 2 in equation y = 6 - x²

2 = 6 - x²

-x² = 2-6

x² = 4

Taking square root on both sides

x = ±2

Now, volume formula is define by using washer method

V =  \(\pi \int\limits^a_b {[f(x)]^2 - [g(x)]^2} \, dx\)

V = \(\pi \int\limits^2_{-2} {[6-x^2]^2 - [2]^2} \, dx\)

V = \(\pi \int\limits^2_{-2} {(36 + x^4 - 12x^2 - 4}) \, dx\)

V = \(\pi \int\limits^2_{-2} {(x^4 - 12x^2 - 32)} \, dx\)

V = \(\pi( [\frac{x^5}{5}] - 12\times\frac{x^3}{3} -32x)^2_{-2}\)

V = \(\pi[( [\frac{2^5}{5}] - 12\times\frac{2^3}{3} -32(2))-([\frac{-2^5}{5}] - 12\times\frac{-2^3}{3} -32(-2))]\)

V = \(\pi[( [\frac{32}{5}] - 4 \times 8 -64)-( [\frac{-32}{5}] - 4\times(-8) +64)]\)

V = \(\pi[( [\frac{32}{5}] - 32 -64)-( [\frac{-32}{5}] +32 +64)]\)

V = \(\pi( [\frac{384}{5}] )\)

V = \(\frac{384\pi }{5}\)

Therefore, The volume of the solid is V = \(\frac{384\pi }{5}\)

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Answer:

$18

Step-by-step explanation:

If she starts with $50 and has $32 left when she's done then. 50-32= 18

So she spent $18 on clothing.

Answer:

B. 81 in.²

Step-by-step explanation:

We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5. We are asked to find the area of the enlarged trapezoid.

The area of the original trapezoid is 36 square inches.

Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.

The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.

1.5 × 1.5 = 2.25

Area of new trapezoid: 2.25 × 36 in²

Area of new trapezoid = 81 in²

The area of the enlarged trapezoid would be 81 in² or option B.

According to the information, the values that complete the table are: 4, 6, and 150.

To calculate the missing numbers in the table we must analyze the existing data. Once we have analyzed this data we can establish that it is a constant relationship, so we can find the missing numbers by means of a rule of three as shown below:

30 = 2

60 =?

60 * 2/30 = 4

30 = 2

90 =?

90 * 2/30 = 6

2 = 30

10 =?

10 * 30/2 = 150

According to the above, the missing values in the box from left to right are: 4, 6, and 150.

Note: This question is incomplete. Here is the complete information:

Attached image

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The weight of the piknits can be used to predict the number of gogles as there is Linear equation in variables may be defined as a linear courting among x and y, that is, variables.

In this case, x is the impartial variable, and y relies upon on it, so y is known as the established variables.

linear courting (or linear association) is a statistical time period used to explain a straight-line courting among variables. Linear relationships may be expressed both in a graphical layout or as a mathematical equation of the shape y = mx + b.

"There is no linear relationship between the weight of the and the number of glasses"

"There is a linear relationship.

A. Yes, because the scatterplot shows a linear pattern.

C. Yes, because a random sample was taken from Piknits for the scatterplots of the 4th and 5th residuals is.

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Answer:

dk

Step-by-step explanation:

d

Flip a fair coin until it comes up heads. You win a payout of 2n dollars, where n is the number of flips you performed. The expected value of this game is $2.

The game you're describing involves flipping a fair coin until you get a heads. The payout is 2^n dollars, where n is the number of flips you performed.

To calculate the expected value of this game, we can consider the probability of winning at each stage and the associated payouts.

Since the coin is fair, the probability of getting a heads on the first flip is 1/2, and the payout would be 2^1 = $2. If you don't get a heads on the first flip, you have a 1/2 chance of getting a heads on the second flip, making the probability 1/2 * 1/2 = 1/4. The payout would be 2^2 = $4. We can continue this pattern for all possible outcomes.

The expected value can be calculated as the sum of the product of the probability of each outcome and its respective payout. So, the expected value (EV) would be:

EV = (1/2 * $2) + (1/4 * $4) + (1/8 * $8) + ...

This is an infinite geometric series with a common ratio of 1/2. To find the sum of an infinite geometric series, we can use the formula:

Sum = a / (1 - r),

where "a" is the first term and "r" is the common ratio. In this case, a = (1/2 * $2) = $1, and r = 1/2. Plugging these values into the formula, we get:

Sum = $1 / (1 - 1/2) = $1 / (1/2) = $2

Therefore, the expected value of this game is $2.

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John needs to make an annual beginning-of-the-year payment of approximately $369,238.68 to fund the estimated college costs of $196,000 in 10 years, given the after-tax rate of return of 8.65% compounded annually.

To compute the annual beginning-of-the-year payment necessary to fund the estimated college costs, we can use the present value of an annuity formula.

The present value of an annuity formula is given by:

P = A * [(1 - (1 + r)^(-n)) / r],

where P is the present value, A is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, John wants to accumulate $196,000 in 10 years, and the interest rate he can earn is 8.65% compounded annually. Therefore, we can substitute the given values into the formula and solve for A:

196,000 = A * [(1 - (1 + 0.0865)^(-10)) / 0.0865].

Simplifying the expression inside the brackets:

196,000 = A * (1 - 0.469091).

196,000 = A * 0.530909.

Dividing both sides by 0.530909:

A = 196,000 / 0.530909.

A ≈ 369,238.68.

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To estimate the regression in the given model Yi = B0 + B1Xi + B2Ziui, where the variance of Ui is Σi^2 = Σ(zi^2), you can use the method of weighted least squares (WLS). The weights for each observation can be determined by the inverse of the variance of Ui, that is, wi = 1/zi^2.

In the given model, Yi = B0 + B1Xi + B2Ziui, the error term Ui is assumed to have a constant variance, given by Σi^2 = Σ(zi^2), where zi represents the individual values of Z.

To estimate the regression coefficients B0, B1, and B2, you can use the weighted least squares (WLS) method. WLS is an extension of the ordinary least squares (OLS) method that accounts for heteroscedasticity in the error term.

In WLS, you assign weights to each observation based on the inverse of its variance. In this case, the weight for each observation i would be wi = 1/zi^2, where zi^2 represents the variance of Ui for that particular observation.

By assigning higher weights to observations with smaller variance, WLS gives more importance to those observations that are more precise and have smaller errors. This weighting scheme helps in obtaining more efficient and unbiased estimates of the regression coefficients.

Once you have calculated the weights for each observation, you can use the WLS method to estimate the regression coefficients B0, B1, and B2 by minimizing the weighted sum of squared residuals. This involves finding the values of B0, B1, and B2 that minimize the expression Σ[wi * (Yi - B0 - B1Xi - B2Ziui)^2].

By using the weights derived from the inverse of the variance of Ui, WLS allows you to estimate the regression in the presence of heteroscedasticity, leading to more accurate and robust results.

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The point estimate is 0.942 gallons.

The standard error is 0.00424.

The critical value is 2.009.

The margin of error is 0.0085.

We are 95% confident that the true mean amount of water included in a 1-gallon bottle is between 0.9335 and 0.9505 gallons.

Based on these results, we cannot say for sure whether the distributor has a right to complain to the water bottling company.

To construct a 95% confidence interval for the population mean amount of water included in a 1-gallon bottle, we need to use the following formula:

Confidence interval = sample mean ± (critical value x standard error)

The point estimate is the sample mean amount of water per 1-gallon bottle, which is 0.942 gallons.

The standard error is calculated using the formula:

Standard error = standard deviation / √(sample size)

In this case, the standard deviation is 0.03 gallons and the sample size is 50. Therefore:

Standard error = 0.03 / √(50) ≈ 0.00424

The critical value is obtained from a t-distribution table with a degrees of freedom of 49 and a confidence level of 95%, which gives a value of 2.009.

The margin of error is calculated by multiplying the critical value by the standard error, which gives:

Margin of error = 2.009 x 0.00424 ≈ 0.0085

Therefore, the 95% confidence interval is:

0.942 - 0.0085 = 0.9335

0.942 + 0.0085 = 0.9505

The confidence interval tells us that the population mean could be between 0.9335 and 0.9505 gallons, but we don't know what the true value actually is. If the distributor's expectations fall within this range, they may not have a legitimate complaint.

However, if the actual mean amount of water is significantly lower than the lower end of the confidence interval, the distributor may have a valid complaint.

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If the spinner is fair and has an equal chance of landing on each color, then the best prediction possible for the number of times it will land on blue when spun 11 times is 2.

If the spinner is fair, then the probability of it landing on each color is equal. Since the spinner has four colors, the probability of it landing on blue is 1/4 or 0.25.

To determine the best prediction possible for the number of times it will land on blue, we can multiply the probability of it landing on blue (0.25) by the total number of spins (11):

0.25 x 11 = 2.75

However, since we cannot have a fractional number of spins, we must round to the nearest whole number. Since 2.75 is closer to 3 than to 2, we might initially think that the best prediction for the number of times it will land on blue is 3. However, since we are looking for the best prediction possible, we need to consider the probabilities of landing on other colors as well. If we predict that the spinner will land on blue 3 times, then we are predicting that it will land on each of the other colors 2 times. This means that our total prediction is:

Blue: 3

Red: 2

Green: 2

Yellow: 2

              Blue: 2

              Red: 3

              Green: 3

              Yellow: 3

This prediction is the best possible because it gets as close as possible to landing on each color 2 times while still being a whole number. Therefore, the best prediction possible for the number of times the spinner will land on blue when spun 11 times is 2.

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"You" and your "5 friends" means that there are 6 people total.

All we need to do is divide.

54 / 6 = 9

Therefore, each person gets 9 pieces of candy.

Best of Luck!

b.

they're just intersecting.

The estimated mean daily energy output from the given histogram is approximately 4.68 kWh.

To estimate the mean daily energy output from the given histogram, we need to calculate the midpoint of each class interval and then compute the weighted average.

Looking at the histogram, we have the following class intervals:

Energy output (kWh):

1 - 2

2 - 3

3 - 4

4 - 5

5 - 6

6 - 7

7 - 8

And the corresponding frequencies:

3

7

1

2

6

4

5

To estimate the mean daily energy output, we follow these steps:

Find the midpoint of each class interval:

The midpoint of a class interval is calculated by taking the average of the lower and upper bounds of the interval. For example, the midpoint of the interval 1 - 2 is (1 + 2) / 2 = 1.5.

Using this method, we can calculate the midpoints for each interval:

1.5

2.5

3.5

4.5

5.5

6.5

7.5

Calculate the product of each midpoint and its corresponding frequency:

Multiply each midpoint by its frequency to obtain the product.

Product = (1.5 * 3) + (2.5 * 7) + (3.5 * 1) + (4.5 * 2) + (5.5 * 6) + (6.5 * 4) + (7.5 * 5)

Calculate the total frequency:

Sum up all the frequencies to get the total frequency.

Total frequency = 3 + 7 + 1 + 2 + 6 + 4 + 5

Calculate the estimated mean:

Divide the product (step 2) by the total frequency (step 3) to obtain the estimated mean.

Estimated mean = Product / Total frequency

Now, let's perform the calculations:

Product = (1.5 * 3) + (2.5 * 7) + (3.5 * 1) + (4.5 * 2) + (5.5 * 6) + (6.5 * 4) + (7.5 * 5)

Product = 4.5 + 17.5 + 3.5 + 9 + 33 + 26 + 37.5

Product = 131

Total frequency = 3 + 7 + 1 + 2 + 6 + 4 + 5

Total frequency = 28

Estimated mean = Product / Total frequency

Estimated mean = 131 / 28

Estimated mean ≈ 4.68 (rounded to 1 decimal place)

As a result, based on the provided histogram, the predicted mean daily energy output is 4.68 kWh.

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To estimate the mean daily energy output from a histogram, calculate the midpoint for each interval, multiply them by their respective frequencies to get the sum of products, and divide by the total frequency.

To calculate an estimate for the mean daily energy output, we must first determine the midpoint for each interval in the histogram. The midpoint is calculated as the average of the upper and lower limits of the interval. Next, we multiply the midpoint of each interval by its corresponding frequency to obtain the sum of the intervals, called the sum of products. Lastly, we divide the sum of products by the total frequency.

Assuming the energy output intervals given by the histogram are [1,2], [2,3], [3,4], [4,5], [5,6], [6,7], [7,8] with respective frequencies 1, 3, 7, 4, 3, 1, 1:

The answer will give you the approximate mean daily energy output, rounded to one decimal point.

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Answer: SOLN,

let,<FHC be x

<GHC+<FHC( sum of  angle of triangle=180 degree

 x+6m+55+8m+55=180

 x+ 14m+110=180

  x+14m=180-110

  x+14m=70

    x=70 divied by 14m  

     x=5m

therefore,the value of <FHC is 5m.      

Given: The image of the garden as shown

To Determine: The perimeter of the garden

Solution

Please note that the feet of fence required to build a fence round the garden is the perimeter of the garden

The perimeter of the garden would be the semi-circle plus two side length and a width

The perimeter of a semicircle can be calculated using the formula below

The diameter of the semi-circle is the same as the width of the rectangle. Therefore

The perimeter of the garden will be

Hence, the feet of fence require to build a fence round the garden is 107.4 ft

The walking distance saved across walking the lot is 19.6ft

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle.

The formula is given as;

a² = y² + z²

Substituting the values into the equation;

48² = x² + (x + 6)²

2304 = x² + x² + 12x + 36

2304 = 2x² + 12x + 36

solving for x;

x = 30.8ft

The walking distance will be x + (x + 6) = 30.8 + (30.8 + 6) = 67.8ft

The walking distance saved will be 67.8ft - 48 ft = 19.6ft

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see explanation below

8) 3, 9, 15, 21, 27

The common difference = 15-9 = 9-3

The common difference = d = 6

Hence, it is an arithmetric sequence

The recursive formula:

The appropriate formula:

The next three numbers in the sequence:

Answer:The coach stands approximately 15 feet in front of the players and throws a ground ... At the opportune time, the coach throws a softball, "leading" the runner with the ... This drill can also be practiced with infielders at their respective bases with ... toward the target), the opened shoulders, and the ball in the throwing hand.

Missing: Melissa ‎9

Step-by-step explanation: