A candy store made 6/1/2pounds of fudge in 1/4 hour. how many pounds of fudge can the store make in 1hour?​

The null hypothesis states that the mean daily consumption of regular-coffee drinkers is equal to or greater than the mean daily consumption of decaffeinated-coffee drinkers. The alternative hypothesis states that the mean daily consumption of regular-coffee drinkers is less than the mean daily consumption of decaffeinated-coffee drinkers.

The null hypothesis (H0) and alternative hypothesis (H1) can be stated as follows:

H0: μ1 ≥ μ2 (The mean daily consumption of regular-coffee drinkers is equal to or greater than the mean daily consumption of decaffeinated-coffee drinkers)

H1: μ1 < μ2 (The mean daily consumption of regular-coffee drinkers is less than the mean daily consumption of decaffeinated-coffee drinkers)

Here, μ1 represents the population mean daily consumption of regular-coffee drinkers, and μ2 represents the population mean daily consumption of decaffeinated-coffee drinkers.

To test these hypotheses, we can conduct a two-sample t-test. We have the sample means, sample sizes, and population standard deviations for both groups. Using these values, we can calculate the test statistic and compare it to the critical value at the 0.010 significance level.

Let's calculate the test statistic:

t = (x1 - x2) / sqrt((s1^2/n1) + (s2^2/n2))

Where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Given the sample means and sample sizes, we can calculate the test statistic. If the test statistic falls in the critical region (i.e., below the critical value), we reject the null hypothesis and conclude that the mean daily consumption of regular-coffee drinkers is less than the mean daily consumption of decaffeinated-coffee drinkers.

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The real zeros of the polynomial function P(x) = x⁵ − 50x³ + 49x are -1, 0, and 1.

To find the zeros of this function, we can factor it by first factoring out an x to get P(x) = x(x⁴ − 50x² + 49). Then, we can factor the quadratic expression inside the parentheses using the difference of squares formula, which gives us P(x) = x(x² − 1)(x² − 49). Simplifying further, we have P(x) = x(x − 1)(x + 1)(x - 7)(x + 7).

Therefore, the zeros of P(x) are the values of x that make each factor equal to zero. This gives us x = -7, -1, 0, 1, and 7. Since all of these values are real, we conclude that the number of real zeros of P(x) is 5.

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Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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Answer:

6/8, 9/12, 12/16, 15/20

Step-by-step explanation:

If you simplify the fractions it will all equal 3/4.

Simplify by finding the Greatest Common Factor and dividing both numbers by the GCF.

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer: PS=($400−$56×5)2=$60

Step-by-step explanation:

Answer:

Think it would be 7(c+2)=4

Answer:

option A , x=-2

Step-by-step explanation:

6-x =4(5+x)-4

6 - x = 4 × 5 + 4 × x - 4

6 - x = 20 + 4x - 4

6 - x = 4x + 16

-x - 4x = 16 - 6

-5x = 10

x = 10/-5

x = -2

therefore, option A is the correct option

hope it helps you

Answer:

First, finish the brackets

6-x=20+4x-4

Collect like terms

-x-4x=20-4-6

Solve

-3x=10

x=-10/3

x=-3.33333333333 Or x≅3.34

Step-by-step explanation:

Please give me brainliest

x = - 8 is the solution for 7x + 5 = - 19. This can be solved using the concept of equation solving.

The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.

Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.

7x + 5 = -19

or, 7x = - 19 - 5

or, 7x = - 24

or, x = - 8

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Answer:

first option

Step-by-step explanation:

Given

f(x) = \(\frac{2x^2+5x-12}{x+4}\) ← factorise the numerator

     = \(\frac{(x + 4)(2x-3)}{x+4}\) ← cancel (x + 4) on numerator/ denominator

     = 2x - 3

Cancelling (x + 4) creates a discontinuity ( a hole ) at x + 4 = 0, that is

x = - 4

Substitute x = - 4 into the simplified f(x) for y- coordinate

f(- 4) = 2(- 4) - 3 = - 8 - 3 = - 11

The discontinuity occurs at (- 4, - 11 )

To obtain the zero let f(x) = 0, that is

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \(\frac{3}{2}\)

There is a zero at ( \(\frac{3}{2}\), 0 )

Thus

discontinuity at (- 4, - 11 ), zero at ( \(\frac{3}{2}\), 0 )

Answer:

a = 12.594678463488691

c = 17.058934471398032

Step-by-step explanation:

A = 42

B = 73

C = 65

which is a total of 180

a = 12.594678463488691

b = 18

c = 17.058934471398032

Answer:

OPTION B

Step-by-step explanation:

A PERSON HEIGHT IS NOT ZERO WHEN BORN

Answer:

The largest digit to be placed on the blank in the 5_,310 to make it divisible by 6 is 9 to give 59,310

Step-by-step explanation:

The given question requires the digit to be placed in the space left blank in 5_,310 to make it divisible by 6

To answer the question, we note that given that 51,000, 54,000, 57,000, and 60,000 are divisible by 6, and that 310 is not divisible by 6, we have

1,310 is not divisible by 6, but 2,310 is divisible by 6

Therefore, the complete number will be 57,000 + 2,310 = 59,310 which gives;

59310/6 = 9,885

Therefore, the complete number is 59,310, and the required digit is 9.

Answer:

120 yd

Step-by-step explanation:

To find the volume, we have to multiply the length, width, and height. We have 8, 6, and 10 as our length, width, and height. First, let's go with the length and width. 8 times 6 is 48. Since it's a triangle, we have to divide by 2. 48 divided by 2 is 24. Now let's multiply by the height. 24 times 5 is 120, so that will be your volume.

Answer:

1. 495

2. 367

3. 1835

4. 1887

5. 2627

6. 1890

7. 1929

Step-by-step explanation:

1.

Smallest number in the N column: 33

Largest number in the B column: 15

33 * 15 = 495

2.

Sum of numbers in the I column:

27 + 23 + 19 + 30 + 29 = 128

495 - 128 = 367

3.

Highest number in the O column: 72

Lowest number in the O column: 67

72 - 67 = 5

367 * 5 = 1835

4.

Average of the numbers in the G column:

(50 + 51 + 54 + 52 + 53)/5 = 52

1835 + 52 = 1887

5.

Reversed digits in answer: 1887 -> 7881

First number in B column: 11

Second number in B column: 8

11 - 8 = 3

7881/3 = 2627

6.

Sums of the numbers in I, G, and O columns:

27 + 23 + 19 + 30 + 29 + 50 + 51 + 54 + 52 + 53 + 72 + 70 + 67 + 71 + 69

= 737

2627 - 737 = 1890

7.

First number in column G: 50

First number in column B: 11

1890 + 50 = 1940

1940 - 11 = 1929

The second-degree Taylor polynomial for e^x^2 about a=0 is T(x) = 1 + x^2.

To find the second-degree Taylor polynomial for e^x^2, the formula that we use is;

T(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2 / 2!

where T(x) represents the Taylor polynomial, f(a) represents the function evaluated at the point a, f'(a) represents the first derivative evaluated at a, f''(a) represents the second derivative evaluated at a.

To evaluate the function, let's find the first two derivatives;

dy/dx e^x^2 = 2x e^x^2d^2y/dx^2 e^x^2

= 2 e^x^2 + 4 x^2 e^x^2

Substitute a = 0 in the above derivatives,dy/dx e^x^2 = 0d^2y/dx^2 e^x^2 = 2

To find the second-degree Taylor polynomial for e^x^2 about a=0, we substitute the values of the function and its derivatives in the formula;

T(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2 / 2!T(x) = e^0 + 0(x-0) + 2(x-0)^2 / 2!T(x) = 1 + x^2

Therefore, the second-degree Taylor polynomial for e^x^2 about a=0 is T(x) = 1 + x^2.

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Answer:I believe is $75

Step-by-step explanation:

If you see in the graph is between 50 and 100

50 divided by two is 25 which means

50+25=75

The missing parts for both triangles to be congruent are:

1. AE ≅ BD.

2. ∠CAB ≅ FED.

3. ∠BA ≅ DA.

Two triangles can be proven to be congruent by the following criteria:

Therefore, the following are the missing parts in the pair of triangles:

1. The missing parts that weren't shown for both triangles to be congruent by SAS is: AE ≅ BD.

2.  The missing parts that weren't shown for both triangles to be congruent by ASA is: ∠CAB ≅ FED.

3. The missing parts that weren't shown for both triangles to be congruent by SSS is: ∠BA ≅ DA.

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Step-by-step explanation:

y = 15× tan25° = 15×0.466 = 6.99 m

r (Hypotenuse) = 15/cos25° = 15/0.906

= 16.56m

the total height = 6.99+16.56 = 23.55 m

Step-by-step explanation:

(3 x 10^5) x (4 x 10^2) =

(3×4) × 10^(5+2) =

12 × 10^7 or

1,2 × 10^8

Answer:

\({ \tt{(3 \times {10}^{5} ) \times (4 \times {10}^{2}) }} \\ \\ = { \tt{(3 \times 4) \times (10 {}^{5} \times {10}^{2} )}} \\ \\ = { \tt{12 \times {10}^{(5 + 2)} }} \\ \\ = { \tt{12 \times {10}^{7} }} \\ \\ { \boxed{ \tt{120000000}}}\)

Answer:

C. \(4\sqrt{7} -4x\sqrt{7}\) is correct

Steps:

\(4\sqrt{7} -3\sqrt{7}x-x\sqrt{7} \\\\4\sqrt{7} -3\sqrt{7} x-\sqrt{7} x\\\\4\sqrt{7} +(-3\sqrt{7} x-\sqrt{7} x)\\\\4\sqrt{7} -4\sqrt{7} x\)

Answer:

C. 4√7 - 4x√7

Step-by-step explanation:

4√7 - 3x√7 - x√7

combine like terms

4√7 - 4x√7

Answer:

To solve the system of equations by the addition method, we need to add the two equations in such a way that one of the variables is eliminated.

Multiplying the first equation by 5, we get:

-5x + 15y = -20

Adding this equation to the second equation, we get:

-5x + 15y = -20

5x - 15y = 20

0x + 0y = 0

This equation tells us that 0 = 0, which is always true. This means that the system of equations has infinitely many solutions, since any value of y will satisfy the equations, and we can then use one of the equations to find the corresponding value of x.

To find a particular solution, we can choose any value of y, say y = 1. Then from the first equation, we have:

-x + 3y = -4

-x + 3(1) = -4

-x = -7

x = 7

Therefore, a particular solution to the system of equations is x = 7 and y = 1. However, there are infinitely many other solutions, since any value of y will satisfy the equations.

Answer: 16

Step-by-step explanation:

A data point would be 1 on the vertical axis meaning you can simply add everything up.

Data Points:

0-1: 1

1-2: 3

3-4: 1

4-5: 1

5-6: 2

6-7: 4

7-8: 2

8-9: 1

10-11: 1

Sum: 16

Answer: 44800000

Step-by-step explanation:56000 x 800=44800000

44800000÷56000=800

Given :

Wall measures about 65 feet tall and 80 feet wide.

To Find :

If Os Gemeos did a sketch on paper that was 8 inches tall for one wall, how wide would their sketch have to be to stay in proportion.

Solution :

Let, width of sketch is x.

Since, they are in proportion :

\(\dfrac{65}{10}=\dfrac{65+8}{x}\\\\x = \dfrac{10\times 73}{65}\\\\x = 11.23\ feet\)

Therefore, width of sketch should be 11.23 feet.

Hence, this is the required solution.

Ryan earned $233.40 from the tips. Option D is correct

Ryan works at the car wash making $5.30 per hour plus tips.
Last week Ryan worked 32 hours and earned $403
How much in tips did Ryan make last week?

In mathematics, it deals with numbers of operations according to the statements.

Let the tip Ryan get be x,
Ryan earned $5.30 per hour.
Ryan earned $403 for 32 hours of the working,
Ryan worked 32 hours so,
Ryan earned = 32 * 5.30
                      = 196.4
Total tips that Ryan earned = total earning - Ryan earned
                                               = $403 - $196.4
                                               = $233.40

Thus, Ryan earned $233.40 from the tips. Option D is correct

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More students received a 94 than any other score on the test. So, option B is the correct answer.

The mode of any given data set is the value that occurs in the given data set the most. This is that one value that occurs more than any other value in any given data set. From the given problem, we can easily understand that 94 is the mode of the set since it is the average score. This means that more students received a 94 than any other score on the test.

The first option is not the correct answer because we have not been told that 99 was the highest score on the test. We have also not been told no student scored below 50 or that a score of 91 was slightly below average.

This means option B is the correct answer.

The question you might be looking for is -

The mode score on the 6th-grade math test was 94! Which of these interpretations must be correct?

a. 99 was the highest score on the test.

b. More students received a 94 than any other score

c. No student scored below a 50

d. A score of 91 was slightly below average.

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