How much water can this container hold express your answer in terms of

Answer:

City B is significantly higher than in City A.

Step-by-step explanation:

To compare the difference of the means in terms of the mean absolute deviations, we can use the concept of standard deviation units. We divide the difference of the means by the average of the mean absolute deviations of the two cities:

D = (71 - 59) / ((3.2 + 2.9) / 2)

D = 12 / 3.05

D ≈ 3.934

The value of D tells us that the difference of the means between the two cities is almost 4 standard deviation units, which is a large difference. This means that the mean high temperature in City B is significantly higher than in City A.

Answer:

Therefore:

a) The area of your slice is 32/3π square inches (exact answer).

b) The length of the outside cheesy crust that belongs to your friend is 16/3π inches (exact answer).

Step-by-step explanation:

a) To find the area of 1/6 of the pizza, we need to determine the area of the entire pizza and then divide it by 6.

The diameter of the pizza (including the cheesy crust) is 16 inches, which means the radius is half of the diameter, so the radius is 16/2 = 8 inches.

The formula for the area of a circle is A = πr², where A is the area and r is the radius.

Therefore, the area of the entire pizza is A = π(8 inches)² = 64π square inches.

To find the area of 1/6 of the pizza, we divide the area of the entire pizza by 6:

Area of 1/6 of the pizza = (64π square inches) / 6

b) The cheesy crust is located on the outer edge of the pizza, forming the circumference of the circle. The circumference is calculated using the formula C = 2πr, where C is the circumference and r is the radius.

The length of the outside cheesy crust that belongs to your friend is 1/6 of the circumference. So, we divide the circumference by 6:

Length of the outside cheesy crust for your friend = (2π(8 inches)) / 6

To get the exact answers, we leave the values in terms of π:

a) Area of 1/6 of the pizza = (64π square inches) / 6 = 32/3π square inches (exact answer)

b) Length of the outside cheesy crust for your friend = (2π(8 inches)) / 6 = 16/3π inches (exact answer)

Therefore:

a) The area of your slice is 32/3π square inches (exact answer).

b) The length of the outside cheesy crust that belongs to your friend is 16/3π inches (exact answer).

The correct statement is "If an appropriate confidence interval does not contain 25%."

To determine whether the pamphlet needs updating, we can construct a confidence interval for the proportion of high school students planning to attend a community college based on the survey results. If the confidence interval does not contain the value stated in the pamphlet (25%), it would suggest that the pamphlet needs updating.

In this case, the sample proportion is 46/150, or 0.3067 (approximately). To construct the confidence interval, we can use the formula for a proportion confidence interval:

p ± z * √(p * (1 - p) / n)

where p is the sample proportion, z is the z-score corresponding to the desired confidence level (95% in this case), and n is the sample size.

Using a z-score of 1.96 (for a 95% confidence level), the confidence interval would be:

0.3067 ± 1.96 * √(0.3067 * (1 - 0.3067) / 150)

Calculating this interval would give us the lower and upper bounds. If this interval contains 25%, then it would suggest that the pamphlet does not need updating. However, if the interval does not contain 25%, it would indicate that the pamphlet needs to be updated.

Therefore, the correct statement is "If an appropriate confidence interval does not contain 25%."

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Answer: D

Step-by-step explanation: Got it right on test

Answer:

The correct answer is:

A. squared distances

There are 250,000 different completed answer sheets possible using counting principle.

For part a, there are 2 choices for each of the 5 questions, so there are a total of 2^5 = 32 ways to complete part a.

For part b, there are 5 choices for each of the 4 questions, so there are a total of 5^4 = 625 ways to complete part b.

For part c, there are 6 choices for the first question, 5 choices for the second question (since one of the answers has already been used), 4 choices for the third question, and so on. So there are a total of 6 x 5 x 4 x 3 x 2 x 1 = 720 ways to complete part c.

To find the total number of possible completed answer sheets, we need to multiply the number of choices for each part. However, since part b and part c are mutually exclusive (you can only choose one of them), we need to add their totals together. Therefore, the total number of possible completed answer sheets is:

32 x (625 + 720) = 70,240

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We can deduce here that the chicken is traveling at a speed of 0.245 miles per minute.

Speed is the amount of ground a thing covers in a predetermined period of time. It has magnitude but no direction because it is a scalar quantity. Meters per second (m/s), kilometers per hour (km/h), or miles per hour are used to express speed (mph).

In order to find the speed of the chicken, here is the formula to make use of:

Speed = distance / time

Speed =  7.35 miles / 30 minutes = 0.245 miles per minute.

The chicken might have crossed the first place because it is being chased.

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The p-value of the test is approximately 0.299.

To find the p-value of the test, we need to conduct a hypothesis test. Let's set up the hypotheses first:

Null Hypothesis (H0): The modification of the process did not reduce the number of flaws per pair of shoes.

Alternate Hypothesis (Ha): The modification of the process did reduce the number of flaws per pair of shoes.

We can use a one-sample t-test to analyze the data. The test statistic can be calculated using the formula:

t = ( - μ) / (s / √n),

where  is the sample mean, μ is the population mean (2.5 flaws), s is the sample standard deviation (0.66), and n is the sample size (30).

Substituting the values into the formula, we get:

t = (2.2 - 2.5) / (0.66 / √30) ≈ -1.054

To find the p-value associated with this test statistic, we need to consult the t-distribution table or use statistical software. The p-value represents the probability of observing a test statistic as extreme as the one calculated under the null hypothesis.

Assuming a two-tailed test, the p-value is the probability of observing a t-value more extreme than -1.054 or more extreme than 1.054. Looking up the p-value in the t-distribution table or using software, we find that the p-value is approximately 0.299.

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The probability that Nessie chews up something that is white or a box is 8/11.

Let's find the probability that Nessie chews up something that is white or a box.
1. Determine the total number of items:
2 white plastic bags + 3 brown paper bags + 4 brown boxes + 2 white boxes = 11 items
2. Identify the items that are white or a box:
White items: 2 white plastic bags + 2 white boxes = 4 white items
Boxes: 4 brown boxes + 2 white boxes = 6 boxes
However, since white boxes are included in both white items and boxes, we need to subtract the number of white boxes once to avoid double-counting them.
3. Calculate the probability:
(White items + Boxes - White boxes) / Total items = (4 + 6 - 2) / 11 = 8 / 11
The probability that Nessie chews up something that is white or a box is 8/11.

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Answer:

First take the difference between the squares of the semi-major axis and the semi-minor axis: (13 cm)² - (5 cm)² = 144 cm².

Then, take the square root of their difference to obtain the distance of the foci from the ellipse's center along the major diameter to be √144 = 12 cm.

Step-by-step explanation:

Your welcome

The value of (f•g)(5) is 21.

Given are two functions f(x) = 3x+2 and g(x)= √x-1, we need to determine (f•g)(5),

So, firstly determine (f•g)(x),

Therefore,

(f•g)(x) = (3x+2)(√x-1)

Now for, (f•g)(5) put x = 5,

We get,

(f•g)(5) = (3·5+2)(√5-1)

(f•g)(5) = 17 × 1.23

(f•g)(5) = 21

Hence the value of (f•g)(5) is 21.

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The Kruskal-Wallis test is a non-parametric test used to compare three or more independent groups to determine if there is a significant difference between the medians of the groups. The test statistic used in this test is denoted by the letter "H," which is calculated based on the ranks of the data.

True. The test statistic calculated in the Kruskal-Wallis test is denoted by the symbol H, not to be confused with the Shapiro-Wilk test statistic denoted by W. The Kruskal-Wallis test is a non-parametric test used to compare the median ranks of three or more independent groups. The test statistic H is calculated by comparing the between-group sum of squares to the total sum of squares. H follows a chi-squared distribution with degrees of freedom equal to the number of groups minus one. The p-value obtained from the chi-squared distribution is used to determine whether to reject or fail to reject the null hypothesis that there is no significant difference between the groups.

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The required, age of Trisha is 15 years old.

Let's represent Trisha's age as "T." Then we can use this variable to represent the ages of her brothers and father as well.

According to the problem, Trisha's first brother is three years older than her, so his age would be T + 3. Her second brother is three years younger than her, so his age would be T - 3. Trisha's third brother is one-third of her age, so his age would be T/3. Trisha's father is three times her age, so his age would be 3T.

The sum of all their ages is 95, so we can create the equation:

T + (T + 3) + (T - 3) + (T/3) + 3T = 95

T = 15

Thus, the required age of the Trisha is 15 years.

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Answer:

[tex]3n = 57[/tex]

[tex]n = 19[/tex]

D is the correct answer.

Answer:

Step-by-step explanation:

You can find the hieght from slant height and side edge using this formula:

[tex]\sqrt{s^{2} - \frac{a}{2}^{2} }[/tex]    where s is the slant height and a is the base length of one edge.

[tex]\sqrt{92.5^{2} - (\frac{24.2}{2} )^{2} }[/tex]

[tex]\sqrt{8556.25 - 146.41}[/tex]

[tex]\sqrt{8409.84}[/tex]

91.705 in

can be rounded to 91.71 in

Answer:

-------------------

There are 6 sides on each cube, so there are a total of 6 x 6 = 36 possible outcomes.

The combinations that result in a sum greater than 9 are:

There are 6 favorable outcomes.

Therefore, the probability of two numbers whose sum is greater than 9 is:

Answer:

Step-by-step explanation:

Sure, here is the input table for f(x) and g(x) using inputs from 0 to 5:

| Input (x) | f(x) = 25x^(2) | g(x) = 3*3^(x) |

|-----------|----------------|----------------|

| 0         | 0              | 3              |

| 1         | 25            | 9              |

| 2         | 100           | 27             |

| 3         | 225           | 81             |

| 4         | 400           | 243            |

| 5         | 625           | 729            |

As x gets very large, g(x) will have greater output values than f(x). This is because the function g(x) has an exponential growth while f(x) only has quadratic growth. As x gets larger, the base of the exponent in g(x) becomes more significant and results in a much larger output value compared to f(x).

Answer:Therefore, the answer is D. 16.

Step-by-step explanation:

The expression 4 + (f + 7) simplifies to 11 + f. When f = 5, the value of the expression is:

11 + 5 = 16

Therefore, the answer is D. 16.

The value of x in the parallel lines is 15.

Option C is the correct answer.

We have,

The concept being used here is the concept of alternate exterior angles and the parallel lines property.

Alternate exterior angles are pairs of angles that lie on opposite sides of a transversal and are located outside the two parallel lines.

According to the property of alternate exterior angles, when two parallel lines are intersected by a transversal, the alternate exterior angles are congruent or equal in measure.

Since lines s and t are parallel lines,

8x + 7 and 127 are alternate exterior angles.

So,

8x + 7 = 127

Now,

Solve for x.

8x + 7 = 127

8x = 127 - 7

8x = 120

x = 120/8

x = 15

Thus,

The value of x in the parallel lines is 15.

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The height of the telephone pole is approximately 26 feet.

According to the given information, the height of the man is 6 feet 2 inches, which we can represent as 6.17 feet, and his shadow is 9 feet 4 inches, which is 9.33 feet.

Using the concept of similar triangles, we can set up the following proportion:

(man's height) / (man's shadow) = (pole's height) / (pole's shadow)

Simplifying the proportion:

6.17 / 9.33 = h / 39.5

To solve for 'h', we can cross-multiply:

6.17 * 39.5 = 9.33 * h

243.215 = 9.33 * h

Dividing both sides by 9.33:

h ≈ 26.06

Rounding to the nearest whole foot, the height of the telephone pole is approximately 26 feet.

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To convert r10,000 to Thai Baht using the exchange rate R0.448 = 1 Thai Baht, we can set up a proportion to find the equivalent amount in Thai Baht.

R0.448 (Thai Baht)   R10,000 (Rand)

------------------ = --------------

       1                         x

Cross-multiplying, we have:

R0.448 * x = R10,000

Dividing both sides by R0.448:

x = R10,000 / R0.448

Calculating the division, we find:

x ≈ 22,321.43

Therefore, r10,000 is approximately equivalent to 22,321.43 Thai Baht, using the given exchange rate.

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Answer:

y= 5/2

y=2.5

y=2 1/2

Step-by-step explanation:

I hope this helps

Answer:

look up a slope calculator insert x2 and y-3 for example and it will do it for u

Step-by-step explanation:

The statements that are true, according to the histogram include

A histogram is a graphical depiction of data points arranged into ranges that the user specifies.

The histogram, which resembles a bar graph in appearance, condenses a data series into an easily read visual by grouping many data points into logical ranges or bins.

Looking at the diagram, a total of 50 sharks were measured and most of the sharks that were measured were over 16 feet long.

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By distributive property to write an expression that is equivalent to 12 + 4x is equal to  4 (x + 3) and 2 ( 2x + 6)

The distributive Property states that it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms which quality can be expressed as the following symbol:

A ( B+ C) = AB + AC

We have given an expression as;

12 + 4x

since 4 and 12 both have a common factor of 4.

4x + 12 = 4 (x + 3)

Additionally, given that 4 and 12 both have a factor of 2

4x + 12 = 2 ( 2x + 6)

Therefore, by the distributive property to write an expression that is equivalent to 12 + 4x ;

4 (x + 3) and 2 ( 2x + 6)

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The time taken for the stone to hit the surface of the water is T = 2 seconds

Given data ,

Let the function be represented as h ( t )

where h = -16t² - 64t + 192

On simplifying , we get

The time taken for the stone to hit the water surface is when h = 0

So , when h = 0

16t² + 64t - 192 = 0

On solving the quadratic equation , we get

t = (-64 ± √(64² - 4 * 16 * -192)) / (2 * 16)

Simplifying further:

t = (-64 ± √(4096 + 12288)) / 32

t = (-64 ± √(16384)) / 32

t = (-64 ± 128) / 32

Now, we have two possible solutions:

t = (-64 + 128) / 32 = 64 / 32 = 2

t = (-64 - 128) / 32 = -192 / 32 = -6

Hence , the time taken is t = 2 seconds

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The distributive property allows the formula (-128 x 46) + (128 x -36) to be simplified to -10496.

We may use the distributive property of multiplication over addition/subtraction, which asserts that an x (b + c) = an x b + an x c, to simplify the above calculation (-128 x 46) + (128 x -36).

Let's dissect the expression in detail:

(-128 x 46) + (128 x -36)Let's first assess the goods:

-128 x 46 = -5888

128 x -36 = -4608

Reintroduce these values into the phrase now:

(-5888) + (-4608)

We simply add the absolute values of the two negative numbers while maintaining the sign of the negative:

-5888 + (-4608) = -10496

Consequently, -10496 is the reduced expression.

Last but not least, the phrase (-128 x 46) + (128 x -36) becomes -10496. .By applying the distributive property and carrying out the required multiplication, addition, and subtraction, the result is -10496.

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The correct confidence interval for a population mean at a 98% confidence level is approximately (94.685, 121.569). Therefore, the correct choice is (94.725, 121.529).

To construct a confidence interval for a population mean, we can use the formula:

Confidence Interval = sample mean ± (critical value * standard error)

First, we need to determine the critical value for a 98% confidence level. Since the sample size is large (n = 28), we can use the z-table to find the critical value. For a 98% confidence level, the critical value is approximately 2.33.

Next, we calculate the standard error using the formula:

Standard Error = sample standard deviation / √(sample size)

In this case, the sample standard deviation is 30.4888 and the sample size is 28. Therefore:

Standard Error = 30.4888 / √(28) ≈ 5.769

Now we can construct the confidence interval:

Confidence Interval = 108.127 ± (2.33 * 5.769) = (108.127 ± 13.442) = (94.685, 121.569)

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Answer:

He can make a maximum of 60 shortcakes

Step-by-step explanation:

With the sugar alone he has enough to make:

500/50=10×12=120 shortcakes

Taking the butter into account he can make a maximum of:

1000/200=5×12=60 shortcakes

Now taking the flour into account he can still make a maximum of 60 shortcakes before running out of supply.

However, with the milk alone, he can make up to

500/10=50×12=600 shortcakes

All we need to do is find the minimum number of shortcakes he can make before running out of supply.

In this case he would make 60 shortcakes

Hope this helps!

Answer: The quadrilateral is not a parallelogram.

Step-by-step explanation:

Slope of any line = (Change in y)/(Change in x)

Slope of LM = (9-6)/(5-(-1)) = 3/6 = 1/2

Slope of LN = (2-6)/(0-(-1)) = -4/1 = -4

Slope of LP = (-2-6)/(-8-(-1)) = -8/-7 = 8/7

Slope of MN = (2-9)/(0-5) = -7/-5 = 7/5

Slope of MP = (-2-9)/(-8-5) = -11/-13 = 11/13

Slope of NP = (-2-2)/(-8-0) = -4/-8 = 1/2

Since slopes of LM and NP are the same, they are parallel lines.

Parallelograms have two sets of parallel lines. However, there only exists one set of parallel lines for this quadrilateral. Thus, this quadrilateral is not a parallelogram.