A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 60 subjects who participate in the study, 21 prefer the instant coffee. Let p be the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee. (In practical terms, p is the proportion of the population who prefer fresh-brewed coffee.)
(a)
Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the large-sample z statistic. (Round your answer to two decimal places.)

Answer: x² - 16

= x² - 4²

= (x+4)(x- 4)

Step-by-step explanation:

You know it has to be x squared so in the first part of your brackets it would be an x.... (x    )(x    ). Then you have to find out what times what is 16... in this case it is 4... (x    4)(x    4). Next you have to know the rules regarding negatives and positive... if you know that, you should be able to work out that it would be (x-4)(x+4)... you can check this using the foil method (x times x, x times 4, -4 times x and -4 times 4) or smiley face method... hope this helpedFactorised means put into brackets...

Answer:

"A solution to 8 = -x + 10 is 2" is the only correct option.

Answer:

Combination.

167960

58344

Step-by-step explanation:

A.)

Choosing 11 players from 20 ; here the order in which the players are chosen does not matter, hence it is a combination problem.

2.)

Using nCr

n = 20 ; selection, r = 11

nCr = n! / (n-r)!r!

20C11 = 20! / 9!11!

20C11 = 167960

3.)

1 goalie 10 players

3C1 * 17C10

3 * 19448

= 58,344 ways

21

Anonymous has the correct months, but the average is (21 + 23 + 22 + 24 + 15)/5 =

21 eggs

Answer:

7

Step-by-step explanation:

Answer:

D.  5x = 5

Step-by-step explanation:

   2x - y = -7

+  3x + y = 12

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

   5x      = 5

Answer: 5x = 5

Answer:

D

Step-by-step explanation:

adding equations means adding their elements per type (per variable and constants).

so,

2x - y = -7

3x + y = 12

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

5x 0 = 5

Answer:

I think A but I might be wrong

Answer:

y is the dependent variable and x is the independent variable

Step-by-step explanation

The number on the right of the equal sign is always the independent variable and the number on the left is always the dependent variable.

independent variable = dependent variable +5

well, the tax is clearly $35.20 - $32 = $3.20.

now, if we take 32(origin amount) to be the 100%, what is 3.20 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 32 & 100\\ 3.20& x \end{array} \implies \cfrac{32}{3.20}~~=~~\cfrac{100}{x} \\\\\\ 32x=320\implies x=\cfrac{320}{32}\implies x=10\)

The last two rows of the table should be completed as follows:

Input   Output

8       22.80

10      28.50

An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.

The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.

To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.

Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.

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Seraphina's speed has increased by a factor of around 23% compared to the first hour.

What Is a Change in Percentage?

The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.

How can you determine the percentage to the closest tenth?

Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.

Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100

Percent Change               = \(\frac{(74-60)}{60}\)× 100

…                                     = \(\frac{14}{60}\) × 100

...                                     ≈ 0.23333 × 100

Percent Change             ≈ 23.33%

The pace of Seraphina increased by around 23% in the second hour compared to the first.

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Answer:

The values x = 7 and y = 3 make the equation true.

Step-by-step explanation:

hope this helps

do you know where is India

becz I am an Indian

Answer:

2,49/4,10/9

Step-by-step explanation:

\(1.\sqrt{4} =2\\2.\sqrt{x} =3+\frac{1}{2} =\frac{7}{2} \\x=\frac{49}{4} \\3.\sqrt{x} =3+\frac{1}{3} =\frac{10}{3} \\x=\frac{100}{9}\)

Answer:

twice

Step-by-step explanation:

\(\frac{4/6}{1/3} =\frac{(4)(3)}{(1)(6)} =12/6 = 2\)

Hope this helps

The number of times that Gabriel needs to use his measuring scoop to make the bread will be 2 times.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Gabriel is making bread, and his recipe calls for 4/6 cups of flour. in any case, he has just a 1/3 cup estimating scoop.

Then the number of times that Gabriel needs to use his measuring scoop to make the bread will be given as,

⇒ (4/6) / (1/3)

⇒ (4/6) x (3/1)

⇒ 4 x 3 / 6

⇒ 12 / 6

⇒ 2 times

The number of times that Gabriel needs to use his measuring scoop to make the bread will be 2 times.

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Answer:

Only the first and fourth cases are straight lines.

Step-by-step explanation:

If the x values have a constant increase (1,2,3,4... etc), a straight line will also have constant intervals in the y-values (4,6,8,10...).

To identify straight lines if the x-values have constant intervals, just check if y-values have also constant (but may be different intervals.

Case (from left to right)

1.

x = 4,5,6,7 (difference: constant = +1)

y =  7,8.75, 10.5, 12.25 (constant difference = 1.75, so straight line.

2.

x = 21, 22, 23, 24 (difference: constant = +1)

y = 98, 75, 56, 37 (differences are 23, 19, 19, so NOT a straight line)

3.

x = -12, -11, -10, -9  (difference : constant = +1)

y = 4, -1, -4, -7 (differences are -5, -3, -3)  so NOT a straight

4.

x = 40, 41, 42, 43 (difference : constant = +1)

y = -18, -22.5, -27, -31.5 (differences are -4.5, -4.5, -4.5, so constant, straight line.

Answer:

Yes that is the right answer

Answer:

no, because each output has an input of one

Step-by-step explanation:

hope this helps...

Answer:

Step-by-step explanation:

3 because at the bottem it is 3 away and top three away.

To draw a rectangular array for 24 x 18 on graph paper, we create a grid with 24 rows and 18 columns.

The partial-products algorithm for multiplying 24 and 18 involves breaking down the multiplication into smaller, manageable steps. The array helps visualize these steps and demonstrates why the algorithm yields the correct answer. Using the array, we start by dividing the 24 x 18 rectangle into smaller squares that represent individual partial products. Each row in the array corresponds to a digit in the multiplier (24), and each column corresponds to a digit in the multiplicand (18). We fill in the array by multiplying the corresponding digits in the multiplier and multiplicand.

For example, the first partial product is obtained by multiplying the rightmost digit of the multiplier (4) by each digit in the multiplicand (8, 1). We place the result, 32, in the corresponding square in the array. Similarly, we calculate the other partial products and place them in the corresponding squares. To find the final product, we sum up all the partial products in the array. In this case, we add up the values in all the squares to get 432, which is the correct answer to 24 x 18.

The array demonstrates why the partial-products algorithm works. By breaking down the multiplication into smaller steps and organizing them in the array, we ensure that each digit in the multiplier is multiplied by each digit in the multiplicand. The array visually represents the distributive property of multiplication, where each digit in one number is multiplied by each digit in the other number. Adding up the partial products gives the total product, ensuring the correct result. The array provides a visual proof of why the partial-products algorithm yields the correct answer to the multiplication problem.

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The nurse will add 40 mL of diluent to the vials, resulting in a dosage strength of 48 mg/mL. The nurse will administer 20 mL of reconstituted gemcitabine.

To calculate these values, we can use the information provided in the package insert. If each vial contains 200 mg of gemcitabine powder, then 5 vials would contain a total of 1000 mg. To prepare a dose of 960 mg, the nurse would need to use 4.8 mL of the reconstituted solution.

To determine the amount of diluent needed, we can use the formula:

Amount of Diluent = Total Volume - Amount of Powder

The total volume is the sum of the volumes of the powder and the diluent. If the package insert recommends a diluent volume of 40 mL per vial, then the total volume for 5 vials would be:

Total Volume = 5 x (4 mL + 40 mL) = 220 mL

So the amount of diluent needed is:

Amount of Diluent = 220 mL - 5 x 4 mL = 200 mL

Therefore, the nurse will add 40 mL of diluent to the vials.

The resulting dosage strength is:

Dosage Strength = Total Amount of Powder / Total Volume

Total Amount of Powder = 1000 mg

Total Volume = 200 mL

Dosage Strength = 1000 mg / 200 mL = 5 mg/mL

To administer a dose of 960 mg, the nurse would need to use:

Amount of Reconstituted Solution = Dose / Dosage Strength

Amount of Reconstituted Solution = 960 mg / 5 mg/mL = 192 mL

Rounding to the nearest tenth, the nurse will administer 20 mL of reconstituted gemcitabine.

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Answer:

x > -13/12

Step-by-step explanation:

x + 3/4 > - 1/3

x + 9/12 > -4/12

x > -13/12

-1/3 = -4/12

3/4 = 9/12

Answer:

x > - 13

12

Step-by-step explanation:

\(x + \frac{3}{4} > - \frac{1}{3} \\ x + \frac{3}{4} - \frac{3}{4} > - \frac{1}{3} - \frac{3}{4} \\ x > \frac{ - 4 - 9}{12} \\ x > - \frac{13}{12} \)

Answer:

x ≤ 12

Step-by-step explanation:

The problem can be represented by the equation:

25 - x = y and y ≥ 13

So, we find that 25 - 12 = 13, which means that any number greater than 12 would result in a difference lower than 13. This sets 12 as the maximum.

Answer:

4 Pints

Step-by-step explanation:

According to the scenario, calculations are as follows,

As we know, 1 gallon = 8 Pints

1 Quarts = 2 Pints

So, Amelia = 3 Gallons = 3 × 8 Pints = 24 Pints

Mason = 10 quarts = 10 × 2 Pints = 20 Pints

So, Number of more pints Amelia has = Amelia number of pints - Mason number of pints

= 24 pints - 20 pints

= 4 Pints  

Answer:

the volleyball court would be 51 centimeters

Answer:

51 centimeters.

Step-by-step explanation:

My bad if I got it wrong but I'm pretty sure thats the answer

Answer:

It will take the master baker 2.86 hours to finish the remaining order after 2 hours.

Step-by-step explanation:

the time taken for the master baker to fill the order = 6 hours

the time taken for the student baker to fill the order = 8 hours

let the time taken for both to finish the work together if they work at the same rate = x

\(\frac{x}{8} + \frac{x}{6} =1\\\\\frac{3x + 4x}{24} = 1\\\\7x = 24\\\\x = \frac{24}{7}\\\\x = 3.43 \ hours\)

After 2 hours, the remaining time for them to finish the work together is given by;

t(remaining) = 3.43 hours - 2 hours = 1.43 hours

Working at the same rate, 2 persons will take 1.43 hours to finish the remaining work.

One person will take hour many hours ?

2 persons working at the same rate  --------> 1.43 hours

1 person working at the same rate -----> ?

= 2 x 1.43 hours

= 2.86 hours

Therefore, it will take the master baker 2.86 hours to finish the remaining order after 2 hours.

Answer:

2 hours 30 minutes

Step-by-step explanation:

The length of the longest possible ladder that can negotiate the turn in the hallway is approximately 16.86 feet.

To find the length of the longest ladder, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the hallway forms a right-angled triangle, with one side measuring 14 feet and the other side measuring 8 feet.

Using the Pythagorean theorem, we can calculate the length of the hypotenuse (the ladder) as follows:

\(c^2 = a^2 + b^2\)

where c is the hypotenuse (length of the ladder), and a and b are the lengths of the other two sides.

Plugging in the values:

\(c^2 = 14^2 + 8^2\)

\(c^2 = 196 + 64\)

\(c^2 = 260\)

c ≈ √260

c ≈ 16.86 feet

Therefore, the length of the longest possible ladder that can negotiate the turn in the hallway is approximately 16.86 feet.

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Answer:

c = 4

See explanation

Step-by-step explanation:

Given:

4c = 3c - 4

Your calculation:

4c = 3c + 4

4c = 4 - 3c

4c = 1c

c = 4/1

c= 4

Correct calculation:

4c = 3c + 4

Collect like terms by subtracting 3c from both sides

4c - 3c = 3c + 4 - 3c

c = 4

Check:

4c = 3c + 4

4(4) = 3(4) + 4

16 = 12 + 4

16 = 16

Therefore,

Your final answer is correct but your method of calculation is not correct

Answer: Review the picture. This is the formula.

Step-by-step explanation: Just multiply the terms and you’ll get the volume. Remember to not measure the diameter but half of that which is the radius! I hope this helps but please comment down below if you need more help!

Answer: V = (1/3)πr2h.

Step-by-step explanation: