Fred bought 5 liters of liquid laundry detergent, 3,250 milliliters of fabric softener, and 2. 8 liters of bleach. Select true or false for each statement. Fred bought 45 milliliters more fabric softener than bleach. ?

Fred bought 2. 45 liters more laundry detergent than bleach. ?

Fred bought 450 milliliters more fabric softener than bleach. ?

Fred bought 220 milliliters more laundry detergent than bleach. ?

Fred bought 0. 45 liters more fabric softener than bleach. ?

The problem statement describes an addition problem that involves three full adders, which adds two binary numbers together.

The final answer is 1000 1100 0110 with an overflow of 1.

The two binary numbers being added together are 101 and 011. So let's proceed to solve the problem:

Firstly, the binary addition for the three full adders would be:

C1 - 1 0 1 + 0 1 1 S1 - 0 0 0 C2 - 0 1 0 + 1 1 0 S2 - 1 0 0 C3 - 0 0 1 + 0 1 1 S3 - 1 0 0 C4 - 0 0 0 + 1 S4 - 1

The binary representation of the sum of 101 and 011 is 1000 1100 0110. The sum is greater than the maximum number that can be represented in 3 bits, so it has an overflow.  Therefore, the answer is 1000 with a carry of 1.

The answer has 12 digits, which is equivalent to 150 bits.

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The height of the trapezoid is 13cm.

A trapezoid is a convex quadrilateral with at least one pair of parallel sides.

Area of a trapezoid =   0.5 x (sum of the lengths of the parallel sides) x height

Height = area / (0.5 x sum of lengths)

Sum of lengths = 23 + 17 = 40 cm

= 260 / (0.5 x 40) = 13 cm

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Answer: 19.95 + 24.95 + (m times 0.52) + (m times 0.24)

Step-by-step explanation:

19.95 + 24.95 + (m times 0.52) + (m times 0.24)

The first 2 numbers are the one time costs then the numbers in brackets are for the cost per miles.

Answer:

Step-by-step explanation:

90-28=62

62 is the answer

We are unable to reject the null hypothesis if the p-value is higher than the significance level (α) of 0.05. We reject the null hypothesis if the p-value is less than the significance level.

For a hypothesis test conducted with a significance level (α) of 0.05, the conclusion is as follows:

For a p-value of 0.06, the correct conclusion is: "Do not reject the null hypothesis since the p-value is not less than the value of α."

For a p-value of 0.049, the correct conclusion is: "Reject the null hypothesis since the p-value is less than the value of α."

In summary, if the p-value is greater than or equal to 0.05 (such as 0.06), we do not have enough evidence to reject the null hypothesis. However, if the p-value is less than 0.05 (such as 0.049), we have sufficient evidence to reject the null hypothesis.

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Answer:

Step-by-step explanation:The walker family uses 45 pounds of crisped rice cereal per year. 1.55 pounds  they save by buying the 18-oz. box for $3.50 rather than the 12-oz. box for $2.75  by using unitary method.

What is called pound?

A pound is a unit of weight used mainly in Britain, America, and other countries where English is spoken. One pound is equal to around 0.454 kilograms. A pound of something is a quantity of it that weighs one pound.

For this, we get the unit price per ounce of each.

3.50/ 18 = 0.1944 unit

2.75 / 12 = 0.229 unit

The walker family uses 45 pounds of crisped rice cereal per year 45 ×0.1944=8.74845 ×0.229= 10.305.

Thus ,they save 10.305 - 8.75 = 1.55

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The probability that the customer has a brand 1 VCR that needs warranty repair work is 61%, the probability that the customer has a brand 2 VCR that needs warranty repair work is 29%, and the probability that the customer has a brand 3 VCR that needs warranty repair work is 10%.

1) Probability that a randomly selected purchaser has bought a brand 1 VCR that will need repair while under warranty. It is given that 50% of VCR sales are from the least expensive band 1. The percentage of VCRs in band 1 requiring warranty repair work is 25%. Therefore, the probability that a randomly selected purchaser has bought a brand 1 VCR that will need repair while under warranty is:

P (Brand 1 and requires warranty repair) = P(Brand 1) * P(Requires warranty repair | Brand 1)= 0.50 * 0.25= 0.125 = 12.5%.2) Probability that a randomly selected purchaser has a VCR that will need repair while under warranty:

The probability can be determined by summing up the probability of each brand of VCR that requires warranty repair work. P(VCR requires warranty repair) = P(Brand 1 and requires warranty repair) + P(Brand 2 and requires warranty repair) + P(Brand 3 and requires warranty repair)= (0.50 * 0.25) + (0.30 * 0.20) + (0.20 * 0.10)= 0.125 + 0.06 + 0.02= 0.205 = 20.5%.3) Probability that the customer with a VCR that needs warranty repair work has a brand 1 VCR, brand 2 VCR, or a brand 3 VCR.

This can be determined using Bayes' Theorem.

P(Brand 1 | Warranty repair) = P(Brand 1) * P(Warranty repair | Brand 1) / P(Warranty repair)= 0.50 * 0.25 / 0.205= 0.61 or 61%.P(Brand 2 | Warranty repair) = P(Brand 2) * P(Warranty repair | Brand 2) / P(Warranty repair)= 0.30 * 0.20 / 0.205= 0.29 or 29%.P(Brand 3 | Warranty repair) = P(Brand 3) * P(Warranty repair | Brand 3) / P(Warranty repair)= 0.20 * 0.10 / 0.205= 0.10 or 10%.

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The wavelength of the baseball is approximately 1.277 x 10^-35 meters.

To calculate the wavelength of the baseball, we can use the de Broglie wavelength equation, which relates the wavelength (λ) to the mass (m) and velocity (v) of an object. The equation is given by:

λ = h / (m * v)

where λ is the wavelength, h is the Planck's constant (h = 6.626 x 10^-34 J·s), m is the mass of the baseball (155 g = 0.155 kg), and v is the velocity of the baseball (32.5 m/s).

Substituting the given values into the equation, we have:

λ = (6.626 x 10^-34 J·s) / (0.155 kg * 32.5 m/s)

To simplify the calculation, we can first convert the mass to kilograms:

λ = (6.626 x 10^-34 J·s) / (0.155 kg * 32.5 m/s)

Now, we can multiply the numerator and denominator by 1000 to convert the mass to kilograms:

λ = (6.626 x 10^-34 J·s) / (0.155 kg * 32.5 m/s)

λ = (6.626 x 10^-34 J·s) / (0.155 kg * 32.5 m/s)

Calculating the numerator and denominator separately, we get:

λ ≈ 1.277 x 10^-35 m

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Answer:

42 tubes of toothpaste.

Answer: $78

Step-by-step explanation:

We start by doing 260 x 30.

260 x 30 = 7800.

Then we divide the product of 260 and 30 by the original percent, which is 100.

7800 divided by 100 = 78.

So the answer is 78

Answer:

Step-by-step explanation:

\(\frac{6}{7}x - 8 - \frac{4}{7}x - 8 = \frac{6}{7}x -\frac{4}{7}x - 8 - 8\\\\=\frac{6-4}{7}x - 16\\\\=\frac{2}{7}x - 16\\\)

In a rectangle WXYZ, if the measure of angle 1 is 30 degrees, then the measure of angle 8 can be determined.

A rectangle is a quadrilateral with four right angles. In a rectangle, opposite angles are congruent, meaning they have the same measure. Since angle 1 is given as 30 degrees, angle 3, which is opposite to angle 1, also measures 30 degrees.

In a rectangle, opposite angles are congruent. Since angle 1 and angle 8 are opposite angles in quadrilateral WXYZ, and angle 1 measures 30 degrees, we can conclude that angle 8 also measures 30 degrees. This is because opposite angles in a rectangle are congruent.
Since angle 3 and angle 8 are adjacent angles sharing a side, their measures should add up to 180 degrees, as they form a straight line. Therefore, the measure of angle 8 is 180 degrees minus the measure of angle 3, which is 180 - 30 = 150 degrees.

So, if angle 1 in rectangle WXYZ is 30 degrees, then angle 8 measures 150 degrees.

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Answer:

67

Step-by-step explanation:

4 + (8 × 8) – 1 =67

Answer:

\(4 + (8 \times 8) - 1 \\ = 4 + 64 - 1 \\ = 68 - 1 \\ = 67\)

Answer: A perceptual map is a marketing tool used to visualize and analyze how customers perceive products or brands in relation to each other. The x- and y-axes on a perceptual map represent different attributes or factors that customers use to evaluate and differentiate products or brands.

The x-axis on a perceptual map represents one attribute or factor, and the y-axis represents another attribute or factor. For example, the x-axis could represent price, and the y-axis could represent quality. By plotting different products or brands on the map based on how customers perceive them in relation to these attributes, marketers can gain insights into how to position their products or brands in the market and identify potential opportunities for differentiation.

The location of a product or brand on the perceptual map relative to other products or brands can indicate how customers perceive it. Products or brands that are located close to each other on the map are perceived to be similar in terms of the attributes represented by the axes. Products or brands that are located far apart on the map are perceived to be different in terms of these attributes.

On a perceptual map, the x- and y-axes represent different attributes or dimensions of the product or brand being evaluated.

These dimensions are typically chosen based on consumer perceptions and can include factors such as quality, price, taste, and convenience.

The placement of a product or brand on the map indicates how consumers perceive it in relation to other options in the market.

By analyzing perceptual maps, marketers can gain insight into consumer preferences and identify opportunities to differentiate their products or improve their positioning.

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Division is one of the four fundamental arithmetic operations. The number of days this cat food will last is 14 days.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that each cat eats 1/4 of a tin of cat food each day. Therefore, the amount of food that two cats will eat in a day is,

= 2 ×  1/4 of a tin of cat food each day

= 1/2 of a tin of cat food each day

Further, it is given that Sally buys 7 tins of cat food. Therefore, the number of days this cat food will last is,

= Total cat food / Cat food needed in a day

= 7tin of cat food / 1/2 of a tin of cat food each day

= 14 days

Hence, the number of days this cat food will last is 14 days.

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Suppose the initial balance is $1800, and the interest rate in the first year is 8 percent. In the second year, the interest rate would rise to 23 percent. We need to determine the difference in the monthly interest payable in years 1 and 2 in this case.  the difference in the monthly interest payable during years 1 and 2 is $22.5.

Here is how to compute the monthly interest for both years:

Year 1:In the first year, the interest rate is 8 percent.

Therefore, the monthly interest payable can be calculated as follows:

Monthly interest = (Annual interest rate x Balance)/12

Monthly interest = (8/100 x 1800)/12

Monthly interest = $12

Year 2:

In the second year, the interest rate is 23 percent.

Therefore, the monthly interest payable can be calculated as follows:

Monthly interest = (Annual interest rate x Balance)/12Monthly interest

= (23/100 x 1800)/12

Monthly interest = $34.5

Thus, the difference in the monthly interest payable between years 1 and 2 is:

$34.5 - $12

= $22.5.

Therefore, the difference in the monthly interest payable during years 1 and 2 is $22.5.

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options (b) and (c) provide good sampling methods to estimate the proportion of pages containing advertisements in a representative manner. These methods allow for coverage across different issues and pages, ensuring a more accurate estimation of the population proportion.

In order to estimate the proportion of all pages containing an advertisement, different sampling methods can be employed. Let's evaluate the options given:

a. Randomly select 4 issues and examine every page in those issues.

This method is a complete enumeration sampling where all pages from the selected issues are examined. This would give an accurate estimate of the proportion of pages containing advertisements from those 4 issues. However, it may not be representative of the entire population of pages in the magazine.

b. Examine 20 randomly selected pages from each of the 50 issues.

This method involves systematic sampling, where a fixed number of pages are selected from each issue. This approach can provide a representative sample across various issues. By examining 20 pages from each of the 50 issues, a total of 1,000 pages would be examined. This method allows for greater coverage of the magazine and can provide a reasonable estimate of the proportion of pages containing advertisements.

c. Assign a unique number to each page and use a computer to randomly select 1,000 of those numbers.

This method utilizes simple random sampling, where each page has an equal chance of being selected. By randomly selecting 1,000 unique page numbers, the sample would cover different parts of the magazine. This method can provide a representative estimate of the proportion of pages containing advertisements.

d. Put the issues in a random order and examine every 10th page until 1,000 pages have been examined.

This method employs systematic sampling, where every 10th page is selected until 1,000 pages are examined. This approach can provide reasonable coverage of the magazine. However, if there are any systematic patterns or clustering within the magazine, this method may introduce bias in the estimate.

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Answer:

Step-by-step explanation:

\(x^{2} x^{2} \sqrt{x} \neq \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]\)

Answer:

30

Step-by-step explanation:

All triangles have a measure of 180 on the inside. I found this by taking 180 and subtracting it by the sum of 53 and 97 which is 150. 108-150=30.

Answer:

The answer is 30

the inside of a triangle always adds up to 180.

Step-by-step explanation:

97 + 53 = 150

180-150 + 30

Step-by-step explanation:

I honestly dont know. Maybe you could try to multiply the numbers on the chart? I hope this helped:)

Answer:

x=1

Step-by-step explanation:

x+y=4

replace y with 3x

x+3x=4

then add the x which is 1x plus 3x

4x=4

then divide 4 on both sides

4x/4=4/4

and your answer is 1

The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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The height of the cylinder is 4 feet.

The volume of a cylinder can be found as follows;

volume of a cylinder = base area × height

Therefore,

base area = πr²

volume of the cylinder = 48π ft³

base area = 12π ft²

Therefore, let's find the height of the cylinder as follows:

48π = 12π × h

divide both sides of the equation by 12π

h = 48π / 12π

h = 4 ft

Therefore,

height of the cylinder  = 4 feet

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To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.

1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:

V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49

We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:

V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)

Here is a more detailed explanation of the substitution:

In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.

When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3

In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.

When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)

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Answer:

Step-by-step explanation:

Define Variables:

Let p= the price of each peach

Let m=the price of each mango

One peach costs $p, so 5 peaches cost 5p. One mango costs $m, so 6 mangos cost 6m. The total cost 5p+6m equals $17.75:

5p+6m=17.75

Likewise, if 2 peaches and 3 mangos cost $8, then:

2p+3m=8

Write System of Equations:

5p+6m=17.75

2p+3m=8

System of equations that could be used to determine the price of each peach and the price of each mango is 5p + 6m = 17.75 and 2p + 3m = 8.

Let p= the price of each peach

Let m=the price of each mango

One peach costs $p, so 5 peaches cost 5p. One mango costs $m, so 6 mangoes cost 6m. The total cost 5p+6m equals $17.75:

5p+6m=17.75

Likewise, if 2 peaches and 3 mangoes cost $8, then:

2p+3m=8

System of Equations:

5p+6m=17.75

2p+3m=8

Therefore System of equations that could be used to determine the price of each peach and the price of each mango is 5p + 6m = 17.75 and 2p + 3m = 8.

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The test score is 91.5.

z-score:

A z-score is the number of standard deviations from the mean value of the reference population.

Here we have to find the test score.

Mean(μ) = 90

Standard deviation(б) = 15

z-score = 0.1

Formula for z-score:

z = X - μ / б

Now putting the values in the equation:

0.1 = X - 90 / 15

1.5 = X - 90

X = 91.5

Therefore the test score is 91.5.

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