The ratio of the sides of rectangle LMNP to the sides of rectangle TUVW is 1:4. The length of LM is 3.6 in, and the length of UV is 16 in.

What is the difference between the areas of the two rectangles?
A. 226 in2
B. 172.8 in2
C. 211 in2
D. 216 in2

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

Answer:

Step-by-step explanation:

Answer:

12.5 or 12 1/2 (may be wrong)

Step-by-step explanation:

First I set up a formula to solve how many ounces of salt there were out of 30,      

x/30=20/100, I crossed multiplied and got 5/30, next, I set up the same formula for how many ounces of salt there were out of 25, x/25=30/100, I got 7.5, the last thing I did was add them both together leading me to the answer 12.5 or 12 1/2. Hope this helps! Please say if I am wrong.

X= 4 this solution is valid

X= 20 this solution is valid

The correct radical form of b^1/5 is 5^√b.

Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.

A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

Explanation:

Convert to radical form using the formula

a^x/n=n^√a^x

5^√b.

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Answer:

26 lb is 11.8 kg.

Step-by-step explanation:

A pound (lb) is a unit of mass used in the imperial and US customary systems of measurement.

A kilogram (kg) is the base unit of mass in the International System of Units (SI).

To convert 26 lb to kg.

First, use the conversion factor between pounds and kilograms.

1 kg = 2.2046 lb

Next, write the following equation to find the weight in kg:

weight in kg = weight in lb x (1 kg / 2.2046 lb)

The pounds cancel out, leaving kilograms.

weight in kg = 26 lb x (1 kg / 2.2046 lb)

weight in kg  = 11.7935 kg

Rounding to the nearest tenth.

weight in kg  = 11.8 kg

33. For this problem you have to sole the following system of equations.

x+y=531

5.75x+1.25y=2013.75

After you solve the system of equations you get that

x=300, y=231

Therefore 300 full-price tickets were sold.

34. Since water is not acid, you have to solve the following equation

0*Water + 0.40*50 = 0.30*(Water+50)

After you solve the equation you get

Water = 16.67

So, you have to add 16.67 ML of water.

and that's the solution for 34.

35.

The next problem is very easy, notice that 12/6 = 2 and 4/6 = 0.666666=0.67 , therefore the scale factor would be 6. And that would be it.

Step-by-step explanation:

correct answer is 168.

hope this helps you.

Hey there!

56 × 3

= 56 + 56 + 56

= 112 + 56

= 168

Basically you had to multiply 6(3), which gave you 18, right? Okay, so you BRING DOWN your 8 and CARRY the 1 OVER your 5. Then you MULTIPLY 5(3), which is 15, right? Then you ADD 15 + 1, which is 16,right?

Thus, that’s why: [168] is most likely your result. (Look at the picture below for better steps )

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28

From the given table, we see that;

Mean grade of Sidney = 82

Mean grade of Phil = 78.

Mean absolute deviation of Sidney = 3.28

Mean absolute deviation of Phil = 3.96.

The difference between the two means of Sidney and Phil = 82 - 78 = 4.

Thus, the ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28

Complete Question is;

The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below. Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades Sidney Phil Mean 82 78 Mean Absolute Deviation 3.28 3.96 Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

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Step-by-step explanation:

Slope is 1/3 while the intercept is 10/3

Answer: Its No Solution!

Step-by-step explanation: x+1 & x-2 can not be equal to the same thing :)

Answer:

\(1\frac{2}{3}\)

Step-by-step explanation:

\(2\frac{1}{2} * \frac{2}{3}\)

\(\frac{5}{2} *\frac{2}{3}\)

\(\frac{10}{6}\)

\(\frac{5}{3}\)

\(1\frac{2}{3}\) .....final answer.

Answer: The answer is True .

The statement is false, these two ratios don't make a proportion.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

5/9, 56/99

we know, that, two ratios make a proportion if, a:b=c:d

but, here,

5/9= 5:9

56/99 = 56: 99

Hence, The statement is false, these two ratios don't make a proportion.

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The 500 sample size and 95% confidence level will both tend to increase the width of the confidence interval.

In this question, we have been given  the combinations of sample size and confidence level.

We need to select a combinations of sample size and confidence level that will give the widest interval.

We know that the confidence level is typically set in the range of 99% to 80%. The 95% confidence interval will be wider than the 90% interval and which will be wider than the 80% interval.

As we know increasing the confidence will increase the margin of error which results in a wider interval.

But increasing the sample size decreases the width of confidence intervals, as it decreases the standard error.

This means, for the widest interval we need to select a high confidence interval and small sample size.

Therefore, the sample size = 500 and the confidence interval = 95% will give the widest interval.

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Answer:

1.15

Step-by-step explanation:

tan θ=−4/7, and 270°<θ<360°

θ is in 4th quadrant

sec θ = 8.06 / 7 = 1.15

Answer:

Supplementary angle equals 180°  

Complementary angle equals 360°

Step-by-step explanation:

Conjugate angles are more or less related to complementary and supplementary angles. The sum of the two angles put together equals 360 degrees. The last angle that will be named is straight. The measure of the angle equals 180 degrees.

Answer:

8000000000000000

Step-by-step explanation:

Answer:

8000000000000000

Step-by-step explanation:

Convert both numbers to scientific notation

40000000=4*10^7

200000000=2*10^8

Multiply: 4*10^7*2*10^8=(4*2)(10^7*10^8)=8*10^(8+7)=8*10^15=8000000000000000

Answer:

17 million

Step-by-step explanation:

-0.34(\(8^{2}\)) + 4.43(8) + 3.46

-21.76 + 35.44 + 3.46

13.68 + 3.46

17.14

Answer: C 17 million

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Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

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Answer:

four squares or 3 hexagons

Answer:

the following is equal to the rational expressions when x5

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

A space whose constituents are all single point sets is said to be completely isolated. Related to this property, the space X is such that the two distinct open sets of  x and y are disjoint. In some cases, they are said to be completely isolated. We use U and x and V and y, X is the becomes a join. Of course, all perfectly isolated spaces are completely isolated, but not vice versa. For example, take two copies of the rational number Q and identify them at all points except zero. The resulting quotient topology space is completely separated and subset. In fact, it is not Hausdorff, and strictly speaking, the condition of complete separation is stronger than the condition of being Hausdorff.

In topology and related mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint, non-empty, open subsets. Connectivity is one of the most important topological properties used to distinguish topological spaces.

A subset of a topological space X is a connected space when viewed as a subspace of X.

Some related but stronger conditions are path connections, single connections, and n connections. Another related term is locally attached. It does not imply or derive connectivity.

At a given point x in the topological space X, X is an arbitrary collection of connected subsets each containing x is the union of The connected component of a point x in X is the uniquely largest connected subset of X containing  is the union (the subset of X associated with containing x . The maximally connected subset of the non-empty topological space (containing) are called connected components of the space. The components of any topological space X form a partition of X. , is not empty, and their union is the entire space: each component is a closed subset of the original space. If that number is finite, each component is also an open subset. However, that may not be the case if the number of them is infinite. For example, the connected component of the set of rational numbers is an open singleton.

Let Гₓ be the topological space X and Г'ₓ be the intersection of all Clepen sets containing x (called subcomponents of x).

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The standard deviation of the sampling distribution is approximately 0.3292.

The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.

Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.

The standard deviation is given by the formula:

SD = σ/√(n)

Now, substituting the value of σ = 40, n = 147,400 we have:

SD = σ/√(n) = 40/√(147400) ≈ 0.3292

Hence, the standard deviation of the sampling distribution is approximately 0.3292.

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