Please help me with this homework

Okay, here are the steps:

1) For the new drug group, the mean reduction is 25 points and standard deviation is 3.1.

To get the 90% CI, we calculate:

Mean ± (1.645 * SD)

= 25 ± (1.645 * 3.1)

= 24.584 to 25.416

2) For the placebo group, the mean reduction is 18 points and standard deviation is 2.8.

To get the 90% CI, we calculate:

Mean ± (1.645 * SD)

= 18 ± (1.645 * 2.8)

= 17.624 to 18.376

3) Since the CI for the new drug (24.584 to 25.416) lies above the CI for the placebo (17.624 to 18.376), there is evidence that the drug is working.

The other options are incorrect. The CI for the new drug does not lie below the placebo CI, so there is evidence the drug is working, not not working.

Thekey is to compare the CI ranges for the two groups. If the CI range for the new drug group lies above the CI range for the placebo group, that indicates the new drug is likely more effective in reducing blood sugar levels, providing evidence that the drug is working.

Does this help explain the steps? Let me know if you have any other questions!

Answer: 70% of the brownies are caramel.

Step-by-step explanation: First take 56/80 because 56 of the brownies were caramel out of the 80. Which divided that give you 0.7. Multiply then by 100 which will give you 70. So the answer is there are 70% caramel brownies.

100 is part of the solution to the inequality 1.25(x + 16) ≥ 140.75.

What is an inequality equation?

An inequality equation is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

To determine if 100 is part of the solution to the inequality 1.25(x + 16) ≥ 140.75, we can substitute 100 for x and see if the inequality holds true.

1.25(x + 16) ≥ 140.75

1.25(100 + 16) ≥ 140.75

1.25(116) ≥ 140.75

145 ≥ 140.75

Since 145 is greater than or equal to 140.75, the inequality holds true when x = 100.

Therefore, 100 is part of the solution to the inequality 1.25(x + 16) ≥ 140.75.

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We must first convert the given information into an equivalent fraction. The answer is 56%.

Equivalent fractions have the same value or represent the same portion of a whole even though they may have different numerators and denominators.

To do this, we must multiply both the numerator (14) and denominator (25) by the same number so that the denominator equals 100.

To do this, we must multiply both 14 and 25 by 4.

This gives us 14*4/25*4 = 56/100.

To convert this fraction to a percent, we can simply divide the numerator by the denominator and multiply the result by 100.

Therefore, 56/100 * 100 = 56%.

This result can also be found by setting up a proportion. We can set up the proportion as follows:

14/25 = x/100.

To solve for x, we must multiply both sides by 100. This gives us 14*100/25 = x.

Hence, x = 56. Therefore, 56% of swimmers finished the race in less than 47 minutes.

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Approximately 9.63% of the energy consumed by the person would be derived from protein.

To calculate the percentage of energy derived from protein, we need to first convert the amount of protein consumed from grams to calories. Protein provides approximately 4 calories per gram. Therefore, 65 grams of protein would provide:

65 grams * 4 calories/gram = 260 calories

This gives us 260 calories from protein.

To find the percentage of energy derived from protein, we can divide the calories from protein by the total calories consumed and multiply by 100:

260 calories / 2700 calories * 100% ≈ 9.63%

Therefore, approximately 9.63% of the energy consumed by the person would be derived from protein.

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Corinne will need 15 square hardwood tiles to completely cover her bedroom floor.

What is area of square?

Area of a square is (side × side) square unit.

Here to cover the entire floor, we need to determine how many square tiles with 1-foot side length can fit into the floor area.

The area of Corinne's bedroom floor is:

Area = length × breadth = 5 feet × 3 feet = 15 square feet

Each square tile has an area of area of one tile = side × side = 1 foot × 1 foot = 1 square foot.

So, the number of tiles required to cover the floor is number of tiles = Total area / Area of one tile

Number of tiles = 15 square feet / 1 square foot.

Number of tiles = 15

Therefore, Corinne will need 15 square hardwood tiles to completely cover her bedroom floor.

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Correct question is "A scale drawing of Corinne's bedroom floor whose length is 5 feet and breadth is 3 feet. All given dimensions are in feet, and all

intersecting line segments shown are perpendicular.Corinne wants to completely cover the floor with square hardwood tiles. Each tile has a side length of

1 foot, and no tiles will be cut. How many tiles will Corinne need to cover the floor?"

The formula for the general term of the arithmetic sequence is:

a) an = -10 + (n-1) * 6 and first-term = -10

b) an = -10 + (n-1) * 6 and first-term = 6

c) an = 36 + (n-1) * (-5) and first-term = 36

An arithmetic sequence is a sequence of numbers in which each term (after the first) is obtained by adding a fixed number called the common difference, d, to the preceding term. The first term of an arithmetic sequence is denoted by 'a'. The general formula for an arithmetic sequence is:

a, a + d, a + 2d, a + 3d, ...

where 'a' is the first term, 'd' is a common difference, and each term after the first is obtained by adding 'd' to the preceding term.

a) To find the common difference, we subtract any term from the term that comes after it. For example, we can subtract -10 from -4, or 2 from 8, and we get:

-4 - (-10) = 6

8 - 2 = 6

Since both of these subtractions give us the same result, we know that the common difference is d = 6. To find the first term, we can use any term and subtract the product of the common difference and its position in the sequence minus 1. For example, we can use the second term -4 and its position 2 to get:

a = -4 - (2-1) * 6 = -10

Therefore, the formula for the general term of the sequence is:

an = -10 + (n-1) * 6

b) The common difference between consecutive terms is -2 because each term is 2 less than the term before it. To find the first term, we can use any term and add the product of the common difference and its position in the sequence minus 1. For example, we can use the second term 8 and its position 2 to get:

a = 8 + (2-1) * (-2) = 6

Therefore, the formula for the general term of the sequence is:

an = 6 + (n-1) * (-2)

c) The common difference between consecutive terms is -5 because each term is 5 less than the term before it. To find the first term, we can use any term and add the product of the common difference and its position in the sequence minus 1. For example, we can use the second term 31 and its position 2 to get:

a = 31 + (2-1) * 5 = 36

Therefore, the formula for the general term of the sequence is:

an = 36 + (n-1) * (-5)

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Answer:

The answer that you're looking for is x = 3

Step-by-step explanation:

You start with the equation:

76x-11=72x+1

You then want to separate the variables and constants so you do the inverse of positive 72 which is to subtract 72x from each side.

(76x-72x)-11=(72x-72x)+1
4x-11=1

After that, you add the inverse of -11 which is adding 11 to both sides to leave 4x by itself.

4x(-11+11)=(1+11)
4x=12

You then finally divide 4 by both sides giving you x = 3 as the final answer.

4x/4=12/4
x = 3

Answer:

3(n + 6) = 2(n + 6) + (n + 6)

3(n + 6) = 3n + 18

Answer:

Jar 2 has the greatest unit price. B is correct.

Step-by-step explanation:

Jar 1: $1.60/16 oz = 10¢/ounce

Jar 2: $2.40/20 oz = 12¢/ounce

Jar 3: $2.64/24 oz = 11¢/ounce

Jar 4: $2.88/32 oz = 9¢/ounce

Jar 2 has the greatest unit price, so the correct answer is B.

Step-by-step explanation:

hope this will help you Thanks

Answer:

£12063.57

Step-by-step explanation:

The value of Alfred’s car after 12 years can be calculated using the formula for exponential decay: Final Value = Initial Value * (1 - rate of depreciation)^(number of years). Plugging in the values we get: Final Value = 13960 * (1 - 0.0075)^12. Therefore, after 12 years, Alfred’s car will be worth approximately £12063.57.

Teresa's expression, 8(4) - 8x, represents the area of the Quotations section. The expression is comprised of two parts: 8(4) and -8x.

8(4) represents the width of the Quotations section, as it is multiplied by the length of 4 units. This indicates that the Quotations section has a fixed width of 8 units.

-8x represents the variable length of the Quotations section. The term -8x indicates that the length of the section can vary based on the value of x, which is a variable. The negative sign indicates that the length decreases as the value of x increases, and vice versa.

Adnan's expression, 8(4 - x), also represents the area of the Quotations section. The expression is slightly different from Teresa's, as the subtraction operation (4 - x) is contained within the parentheses.

(4 - x) represents the variable width of the Quotations section. The expression indicates that the width of the section is determined by the value of x. As x changes, the width of the section changes accordingly.

8(4 - x) then multiplies the variable width by a fixed length of 8 units, indicating that the Quotations section has a fixed length of 8 units.

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Thus, the probability that a given tree has between 300 and 390 apples.

equals 68%.

A normal distribution with such a mean of zero and a standard deviation of one is known as the standard normal distribution.

Given that:

x1 = 300 - 30 = 270

For x1 = 270, we get:

z = (270 - 300) / 30 = -1

For x2 = 300 + 30 = 330,

z = (330 - 300) / 30 = 1

The area under the normal curve is roughly 68% within one standard deviation of the average, 95% within two standard deviations, & 99.7% within three standard deviations, according to the 68-95-99.7 rule.

We can apply the 68% method to calculate the likelihood that a given tree has between 270 and 330 apples because the z-scores for 270 and 330 are both less than 1 standard deviation from the mean (i.e., there are both less than 1 standard deviation from the mean of 300).

The 68% rule states that roughly 68% of the trees will produce between 300 and 390 apples.

Thus, the probability that a given tree has between 300 and 390 apples.

equals 68%.

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Answer:

All of them can be helpful

Step-by-step explanation:

Answer: To find the length of the box using the partial quotient method, we divide the volume of the box by the product of its width and height:

Step 1: Divide the first digit of the dividend (5) by the divisor (7), and write the quotient (0) above the digit.

    0

  -----

7 |  5 0 4

Step 2: Multiply the divisor (7) by the quotient (0), and write the product (0) below the first digit of the dividend.

    0

  -----

7 |  5 0 4

      0

Step 3: Subtract the product (0) from the first digit of the dividend (5), and bring down the next digit (0) to the right of the difference.

    0

  -----

7 |  5 0 4

      0

    ---

      5 0

Step 4: Divide the first two digits of the new dividend (50) by the divisor (7), and write the quotient (7) above the second digit.

    0 7

  -----

7 |  5 0 4

      0

    ---

      5 0

    - 4 9

    -----

        1 0

Step 5: Multiply the divisor (7) by the quotient (7), and write the product (49) below the first two digits of the new dividend.

    0 7

  -----

7 |  5 0 4

      0

    ---

      5 0

    - 4 9

    -----

        1 0

      4 9

Step 6: Subtract the product (49) from the first two digits of the new dividend (50), and bring down the next digit (4) to the right of the difference.

    0 7

  -----

7 |  5 0 4

      0

    ---

      5 0

    - 4 9

    -----

        1 0

      4 9

    -----

        5 4

Step 7: Divide the first two digits of the new dividend (54) by the divisor (7), and write the quotient (7) above the second digit.

    0 7 7

  -------

7 |  5 0 4

      0

    ---

      5 0

    - 4 9

    -----

        1 0

      4 9

    -----

        5 4

Step 8: Multiply the divisor (7) by the quotient (7), and write the product (49) below the first two digits of the new dividend.

    0 7 7

  -------

7 |  5 0 4

      0

    ---

      5 0

    - 4 9

    -----

        1 0

      4 9

    -----

        5 4

      4 9

Step 9: Subtract the product (49) from the first two digits of the new dividend (54), and bring down the next digit (2) to the right of the difference.

    0 7 7

  -------

7 |  5 0 4

      0

    ---

      5 0

    - 4 9

    -----

        1 0

      4 9

    -----

        5 4

      4

Step-by-step explanation:

The point (1,2) is the point of intersection of the two lines.

It should be noted that to verify if the point (1,2) is a solution to the system of linear equations, we need to substitute x=1 and y=2 into both equations and check if they are true.

The equation is true, so (1,2) is a solution to the first equation.

Substituting x=1 and y=2 into the second equation also makes the equation true.

Therefore, the point (1,2) is the point of intersection of the two lines.

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To find the speed of the tsunami at the depth of 2145 meters, you can use the given function:

Plug in the value of d (2145 meters):

Answer:

The amount of the discount is

.25 × $6.50 = $1.625 = $1.63

Answer: False, the answer is -3.7

Step-by-step explanation:

8.7 - 12.4 = -3.7

Therefore, [tex]-3.7 \neq -4.3[/tex] so Janet is incorrect.

Therefore, the area of the regular dodecagon with a side length of 8 units is approximately 1,843.21 square units.

In mathematics, area refers to the measure of the amount of space inside a two-dimensional shape or region. It is a measure of the size of a flat surface, and is typically expressed in square units, such as square meters (m²), square centimeters (cm²), or square feet (ft²). The area of a shape can be calculated using various formulas, depending on the type of shape. The concept of area is used in many areas of science and engineering, including physics, geometry, and architecture. It is particularly important in fields such as construction and landscaping, where the amount of material needed to cover a given area is often a key factor in planning and budgeting.

Here,

To find the area of a regular dodecagon, you can use the formula:

Area = (3 * √3 / 2) * s² * n

where s is the length of each side and n is the number of sides.

Substituting s = 8 and n = 12, we get:

Area = (3 * √3 / 2) * 8² * 12

Area = 3 * √3 * 64 * 12

Area = 1,843.21 square units (rounded to two decimal places)

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The length of the diagonals in ascending order is: 140/3 inches

Algebra is a branch of mathematics that deals with mathematical operations and symbols to represent numbers and their relationships. It involves the use of variables, which are letters or symbols that represent unknown or unspecified quantities, and manipulating equations and expressions to solve problems.

To compare the lengths of the diagonals of the three TV screens, we can simplify each expression and put them in order:

5 square roots of 84 inches

= 5 * √(4 * 21) inches

= 10 * √(21) inches

46 2/3 inches

= 140/3 inches

46.625 inches

Therefore, the length of the diagonals in ascending order is:

46.625 inches < 140/3 inches < 10 * √(21) inches

Note that we can also write the second diagonal as a mixed number, which is the form of a whole number and a fraction:

140/3 inches

= 46 2/3 inches

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Answer:

Hm

Step-by-step explanation:

The bacteria population is observed to double after five days, which means that its growth rate is 100% over a period of five days. This corresponds to a daily growth rate of r = 100%/5 = 20%.

If the initial population is 10,000, then the bacteria population after d days can be modeled by the exponential function:

f(d) = 10,000 * (1 + r/100)^d

Substituting r = 20% and simplifying, we get:

f(d) = 10,000 * (1.2)^d

Therefore, the correct option is:

D. f(d) = 10,000 * (1.2)^d

angle opposite 16 = [tex]sin-1(\sqrt(1 - cos2(angle opposite 16))[/tex] angle opposite 16 = [tex]sin-1(\sqrt(1 - (-0.442)2)[/tex]angle opposite 16 = 118.7 degrees

In Euclidean geometry, a parallelogram is a simple quadrilateral with two sets of parallel sides. A parallelogram is a kind of quadrilateral in which both sets of opposite sides are parallel and equal. Parallelograms are classified into four types, three of which are unique. The four distinct shapes are parallelograms, squares, rectangles, and rhombuses. A quadrilateral is a parallelogram when it has two sets of parallel sides. The opposing sides and angles of a parallelogram are both the same length. The internal angles on the same side of the horizontal line are also angles. The total number of internal angles is 360.

To calculate the area of a parallelogram, multiply the base by the height. Nevertheless, the height is not mentioned in this situation. Alternatively, we may use the following formula to calculate the area of a parallelogram:

The area is defined as follows: base x height x sin (angle between base and height)

[tex]16^2 = 13^2 + 13^2 - 2(13)(13) (13)[/tex]

cos(opposite angle 16) 256 = 338 − 338

cos(opposite angle 16) cos(opposite angle 16) = -0.442

We know the angle is between 90 and 180 degrees since the cosine is negative. To get the angle in that range, we may use the inverse sine function:

angle opposite 16 = [tex]sin-1(\sqrt(1 - cos2(angle opposite 16))[/tex] angle opposite 16 = [tex]sin-1(\sqrt(1 - (-0.442)2)[/tex]angle opposite 16 = 118.7 degrees

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The ounces of  beeswax needed by Leah to make 15 more small candles is equal to 49.95 ounces.

Let us consider 'x' be the ounces of beeswax required by Leah to make 15 candles.

To make 6 small candles, Leah uses 20 ounces of beeswax.

So, to make one small candle,

Ounces of beeswax used by Leah ,

= 20 ounces / 6 candles

= 3.33 ounces/candle (rounded to two decimal places)

To make 15 more small candles,

Ounces of beeswax Leah will need is equals to,

⇒ x = 15 candles x 3.33 ounces/candle

⇒ x = 49.95 ounces (rounded to two decimal places)

Therefore, Leah needs 49.95 ounces of beeswax to make 15 more small candles.

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The percentage of the large pizza they ate is 100%

To calculate the percentage of pizza they both ate we have to add and then covert the fractions to percentage.

Given from the question

Frank ate 20% of the large pizza and Joey ate 4/5 portion of the large pizza

Converting 4/5 into percentage

For converting into percentage we have to multiply 100 to the fraction

= 4/5 x 100

= 80%

Now, let us proceed by adding the collected two percentages to find out the total percentage of pizza consumed by Frank and Joey

20% + 80%

= 100%

The percentage of the large pizza they ate is 100%.

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The correct interpretation of the confidence interval is: "We can estimate with 95% confidence that the true population mean pizza delivery time is between 33.78 and 38.22 minutes."

The confidence interval represents a range of values within which the

population mean delivery time is likely to fall, based on the sample data.

It does not provide information about the delivery times of individual pizzas

or restaurants.

The confidence level refers to the percentage of times that the true

population mean would be expected to fall within the interval if the same

sampling procedure were repeated many times.

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