Jessica is reading a story book. She reads 30 pages of the book per day. After three days of reading, 5/8 of the book are left. How many pages are in the book?

Compare / Contrast
Jamie read 90 pages of a book in 2 days. If the book has 225 pages in it, what portion of the book does she read each day?
How many days will it take Jamie to finish the book?

Since overtime is paid at one and one-half, Tonya's overtime pay for this week is $36.56.

The overtime pay is the product of the overtime pay rate and the number of overtime hours.

The normal work week is 40 hours.  The overtime hours, in this situation, are 2.5 hours.

The total number of hours Tonya worked this week = 42.5 hours

The hourly pay rate = $9.75

Overtime pay rate = $14.625 ($9.75 x 1.5)

Overtime hours worked = 2.5 hours (42.5 - 40)

Overtime pay = $36.56 ($14.625 x 2.5)

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The descending order of the length of the four insects is as follows: 2/3 cm, 0.1 cm, 0.02 cm, 1/8 cm.

The length of four insects are 0.02 cm, 1/8 cm, 0.1 cm, and 2/3 cm.

Arrange the length in descending orderIn order to arrange the lengths of the four insects in descending order, we need to convert the fractions to decimals so that we can compare all the values.

1/8 cm = 0.125 cm

2/3 cm = 0.6667 cm

Now we have the values in decimal form, we can proceed to arrange them in descending order from the highest to the lowest value:

2/3 cm = 0.6667 cm

0.1 cm

0.02 cm

1/8 cm = 0.125 cm.

In conclusion, the lengths of four insects were arranged in descending order by first converting the fractions to decimals before comparing them.

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Answer:

2 Nd is in order from least to grater

The probability of a measured value greater than 80 mm in a normal distribution with mean 20 mm and standard deviation 30 mm is (0.0228). The probability of a measured value between 50 and 80 mm is 0.1359.

Probability of a measured value greater than 80 mm:

We can use the standard normal distribution to find this probability, by standardizing the value of 80 mm:

z = (80 - 20) / 30 = 2

Using a standard normal distribution table or calculator, we find that the probability of a standard normal variable being greater than 2 is approximately 0.0228. Therefore, the probability of a measured value of the polymer fiber being greater than 80 mm is approximately 0.0228.

Probability of a measured value between 50 and 80 mm:

Again, we can standardize the values of 50 mm and 80 mm:

z1 = (50 - 20) / 30 = 1

z2 = (80 - 20) / 30 = 2

Using a standard normal distribution table or calculator, we find that the probability of a standard normal variable being between 1 and 2 is approximately 0.1359. Therefore, the probability of a measured value of the polymer fiber being between 50 and 80 mm is approximately 0.1359.

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Answer:

35 hours

Step-by-step explanation:

We Know

Her pay rate is $8.75

Penny was paid 306.25 this week

How many hours did she work?

We Take

306.25 / 8.75 = 35 hours

So, she works 35 hours.

It is more likely that Ryan planted a yellow bulb and then a white bulb than planted a red bulb and then another red bulb. The probability of planting a yellow bulb and then a white bulb is 0.3905, which is higher than the probability of planting two red bulbs in a row, which is 0.345.

How to solve probability?

To determine which scenario is more likely, we need to calculate the probability of each outcome. Let's start by calculating the probability of planting two red bulbs in a row.

The probability of selecting a red bulb from the first bag is 8/20, from the second bag is 11/20, and from the third bag is 2/20. Thus, the probability of selecting two red bulbs in a row is:

(8/20) * (11/20) + (8/20) * (2/20) + (11/20) * (2/20) = 0.345

Now, let's calculate the probability of planting a yellow bulb and then a white bulb.

The probability of selecting a yellow bulb from the first bag is 7/20, from the second bag is 3/20, and from the third bag is 13/20. The probability of selecting a white bulb from the first bag is 5/20, from the second bag is 6/20, and from the third bag is 5/20. Thus, the probability of selecting a yellow bulb and then a white bulb is:

(7/20) * (5/20) + (7/20) * (6/20) + (3/20) * (5/20) + (3/20) * (6/20) + (13/20) * (5/20) + (13/20) * (6/20) = 0.3905

Therefore, it is more likely that Ryan planted a yellow bulb and then a white bulb than planted a red bulb and then another red bulb. The probability of planting a yellow bulb and then a white bulb is 0.3905, which is higher than the probability of planting two red bulbs in a row, which is 0.345.

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To use the large sample z-test for a difference in two proportions, assumptions that must be met include having independent samples, a large sample size, and success-failure conditions must be met.

In order to use the large sample z-test for a difference in two proportions, the following assumptions must be met:

The sample is random and each observation is independent. The sample size for each group is large enough such that both np and n(1-p) are greater than or equal to 10, where n is the sample size and p is the proportion of success.

The two groups being compared are independent of each other. The data is binomially distributed, meaning each observation is either a success or a failure. The populations from which the samples are drawn have similar variances.

If these assumptions are met, the large sample z-test can be used to test the null hypothesis that there is no difference between the two proportions.

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The perimeter of a square that is 3 inches on a side include the following: B. 12 inches.

In Mathematics and Geometry, the perimeter of a square can be calculated by using the following formula;

P = 4x

Where:

By substituting the given side lengths into the formula for the perimeter of a square, we have the following;

Perimeter of a square, P = 4x

Perimeter of a square, P = 4(3)

Perimeter of a square, P = 12 inches.

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The perimeter of a square with 3 inches on a side is B. 12 inches.

The perimeter refers to the distance that encompasses or surrounds an object or drawing.

The formula for computing the perimeter is 2L + 2W.  But for a square, the perimeter formula is 4L.

The length of each square side = 3 inches

The perimeter = 12 inches (4 x 3)

Thus, the perimeter of the square can be concluded to be 12 inches.

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Answer: We can start by finding the width of the rectangular field using the formula for area of a rectangle:

Area = length x width

80 = 20 x width

width = 4 meters

Now we can use the formula for perimeter of a rectangle:

Perimeter = 2 x length + 2 x width

Perimeter = 2 x 20 + 2 x 4

Perimeter = 40 + 8

Perimeter = 48 meters

So, you would have traveled 48 meters if you walked the whole way around the field.

Step-by-step explanation:

The sοlutiοn tο the inequality [tex]x^2 + 4x > 12[/tex] is: x < -6 οr x > 2

In interval nοtatiοn, this can be written as: (-∞, -6) ∪ (2, ∞)

An algebraic expressiοn is a mathematical phrase that can cοntain variables, cοnstants, and οperatοrs (such as additiοn, subtractiοn, multiplicatiοn, and divisiοn) that are used tο represent quantities and their relatiοnships.

Tο sοlve this inequality, we need tο find the values οf x that satisfy the inequality [tex]x^2 + 4x > 12.[/tex]

First, we can mοve all the terms tο οne side οf the inequality tο get:

[tex]x^2 + 4x - 12 > 0[/tex]

Next, we can factοr the left-hand side οf the inequality tο get:

(x + 6)(x - 2) > 0

Nοw we need tο find the values οf x that make the inequality true. We can dο this by analyzing the signs οf the expressiοns οn each side οf the inequality fοr different ranges οf x.

When x < -6, bοth factοrs (x + 6) and (x - 2) are negative, sο their prοduct is pοsitive.

When -6 < x < 2, the factοr (x + 6) is pοsitive and the factοr (x - 2) is negative, sο their prοduct is negative.

When x > 2, bοth factοrs are pοsitive, sο their prοduct is pοsitive.

Therefοre, the sοlutiοn tο the inequality [tex]x^2 + 4x > 12[/tex] is: x < -6 οr x > 2

In interval nοtatiοn, this can be written as: (-∞, -6) ∪ (2, ∞)

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Answer:

Yes The set R = [(a,1),(b,2),(c,3)] is a Function.

Step-by-step explanation:

A function ia a relation between two sets ,where each element in domain is associated with only one range.

Some examples of function -

1- x2 (squaring) is a function

2- x3+1 is also a function

3- Sine, Cosine and Tangent are function

in the case the domain {a,b,c} and the range is {1,2,3}

IN R each domain is associated with only one element in range,So R SATISFIES the definiton of Function

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Step-by-step explanation:

7.3 x 10^8     <=====move decimal point EIGHT place to the right

730, 000, 000  pounds

  88, 200 ,000            I think you can now see the larger one

                                            and do the subtraction to see by how much !

Answer:

The Empire State Building is heavier by 6.418 x [tex]10^{8}[/tex]

Step-by-step explanation:

World Trade Center

8.82 x [tex]10^{7}[/tex]

(6.14 x [tex]10^{8}[/tex]) - (8.82 x [tex]10^{7}[/tex])

You need to have the same power of 10 to subtract

7.3 x [tex]10^{8}[/tex] - .882 x [tex]10^{8}[/tex]

6.418 x [tex]10^{8}[/tex]

Helping in the name of Jesus.

Answer: If Amanda Bryan purchased a used car for $12,875 and made a 25% down payment, then she paid:

25% of $12,875 = 0.25 * $12,875 = $3,218.75

This means that the amount she financed (i.e. borrowed) to purchase the car is the difference between the total cost of the car and the down payment:

Amount financed = Total cost - Down payment

Amount financed = $12,875 - $3,218.75

Amount financed = $9,656.25

Therefore, Amanda Bryan financed $9,656.25 to purchase the used car.

Step-by-step explanation:

Answer:

[tex]54in^{3}[/tex]

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

A= lwh

So we just plug in those values.

A= 3*3*6

A= 9*6

A= 54in^3

Step-by-step explanation:

Every ten minutes the car travels eleven miles

  11 miles / 10 min  = 1.1  mile / min     <=====unit rate

after 18 minutes :    1.1 mile/min * 18 min = 19.8 miles

According to the question the word "Liberty" on the quarter is about 0.872 inches long.

In geometry, a circle's diameter is any straight segment whose endpoint is on the circle and which passes through its centre. Another name for it is the circle's longest chord. Either idea can be used to determine a sphere's diameter. The diameter is indeed the length of both the line perpendicular to the two points at each end of the circle. If you think of length as the distance between two points, then diameter is length. The diameter of a circle is the separation between its two farthest points.

Since the quarter has a diameter of about 1 inch, we can use its diameter as a reference to estimate the length of the word "Liberty" on the quarter.

If the word "Liberty" makes about a 100° angle, that means it takes up about 100/360 or 5/18 of the circumference of the quarter. The circumference of a circle is given by:

C = 2πr

where C is indeed the circumference, pi (roughly 3.14), is a mathematical constant, and r is the circle's radius. The quarter's approximate 1 inch diameter means that the radius equals 1/2 inch, approximately 0.5 inches.

The circumference of the quarter is therefore:

C = 2π(0.5 inches) = π inches

The length of the word "Liberty" on the quarter is approximately 5/18 of this circumference, which is:

(5/18) × π inches ≈ 0.872 inches

So the word "Liberty" on the quarter is about 0.872 inches long.

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Answer:

x = 8

Step-by-step explanation:

The two sides equal each other

5x - 13 = x + 19  Subtract x from both sides

5x - x - 13 = x - x + 19

4x - 13 = 19  Add 13 to both sides

4x - 13 + 13 = 19 + 13

4x = 32  Divide both sides by 4

x = 8

Helping in the name of Jesus.

Therefore , the solution of the given problem of surface area comes out to be x cannot equal 24.

By calculating how much space would be needed to fully enclose its exterior, its overall size can be calculated. The surrounding region is considered when selecting a comparable product in the rectangular design. The surface area of something determines its overall dimensions. The number of sides connecting a cuboid's four trapezoidal forms determines how much water it can hold.

Here,

The calculation for a square pyramid's surface area is:

=> S = l² + 2lh

where S is the surface area, h is the height of the pyramid, and l is the length of one edge of the square base.

=> l² = 13² = 169

We also know that the pyramid's surface area is 741 square feet, so we can construct the following equation:

=> 741 = 169 + 2(13)(x)

When we condense the right half, we obtain:

=> 741 = 169 + 26x

169 from both parts are subtracted, giving us:

=> 572 = 26x

When we multiply both parts by 26, we get:

=> x = 22

As a result, rather than 24 feet, the pyramid's height is 22 feet.

Thus, x cannot equal 24.

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Answer: Add them. 6ft+4ft+4ft=10ft, 3in+6in+9in=18in. 10ft and 18in is also equal to 11ft and 6in. Therefore, the answer is 11 feet and 6 inches.

Player B is the most consistent, with an IQR of 2. This means that 50% of their scores fell within the range of 3 to 5.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen

To determine which player was more consistent, we need to find the best measure of variability for the data. The two common measures of variability are range and interquartile range (IQR).

The range is the difference between the highest and lowest values in the data set. For Player A, the range is 6 - 1 = 5, and for Player B, the range is 11 - 1 = 10.

The interquartile range (IQR) is a measure of dispersion based on dividing the data into quartiles. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1).

To find the IQR for each player, we first need to find the quartiles.

For Player A:

Arrange the data in order: 1, 1, 2, 2, 2, 3, 3, 3, 6

Find Q1: (2 + 2) / 2 = 2

Find Q3: (3 + 3) / 2 = 3

Calculate IQR: Q3 - Q1 = 3 - 2 = 1

For Player B:

Arrange the data in order: 1, 1, 2, 4, 4, 5, 5, 5, 11

Find Q1: (2 + 4) / 2 = 3

Find Q3: (5 + 5) / 2 = 5

Calculate IQR: Q3 - Q1 = 5 - 3 = 2

Therefore, Player B is the most consistent, with an IQR of 2. This means that 50% of their scores fell within the range of 3 to 5. In contrast, Player A has an IQR of 1, indicating that 50% of their scores fell within the range of 2 to 3.

Therefore, we can conclude that Player B was more consistent than Player A.

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Required number of four letters are 120.

What are letters?

Letters are symbols that represent sounds or phonemes in a language. They are used to form words and written communication. The letters of the alphabet are the basic units of written language, and each language has its own set of letters that represent its sounds. In many languages, the letters are organized into an alphabet, which is a standardized order of the letters used for writing. The letters can be written in uppercase or lowercase form, and they may have different shapes or styles depending on the font used. In addition to the letters of the alphabet, there are also other types of symbols used in written communication, such as punctuation marks, numerals, and special characters.

The given word "MIRAGE" has six letters, and we need to form a four-letter code word using these letters such that the second-to-last letter is a vowel and no letter is repeated.

There are two vowels in "MIRAGE" - "I" and "A". We can choose one of these two vowels to be the second-to-last letter in the four-letter code word. Once we have chosen the vowel, we can choose any one of the remaining five letters for the last letter in the code word, since no letter can be repeated.

After choosing the second-to-last and last letters, we have two letters left to choose for the first two positions in the code word. Since no letter can be repeated, we have four choices for the first letter, and three choices for the second letter.

Thus, the total number of four-letter code words that can be formed from the letters in the word "MIRAGE" if no letter is repeated, and the second-to-last letter must be a vowel is 2 (choices for the second-to-last letter) x 5 (choices for the last letter) x 4 (choices for the first letter) x 3 (choices for the second letter)

= 2 x 5 x 4 x 3

= 120

Therefore, there are 120 four-letter code words that can be formed from the letters in the word "MIRAGE" if no letter is repeated, and the second-to-last letter must be a vowel.

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The concept of a complement of a set is the set of all elements in the universal set that are not in the original set. The answer is B) {1, 2, 3, 4, 5, 6, 7}.

It is denoted by U. Universal sets are used to define the scope of an expression or equation, as well as to denote sets of all objects, such as the set of real numbers or the set of natural numbers.

The complement of a set is also referred to as its opposite set. In this case, the universal set is {1, 2, 3, 4, 5, 6, 7}, and the set C is {1, 2, 3}.

The complement of C is {4, 5, 6, 7}.

The complement of the complement of C is the set of all elements that are not in the complement of C.

Since the complement of C is {4, 5, 6, 7}, the complement of the complement of C is the set of all elements in the universal set that are not in the complement of C, which is {1, 2, 3, 4, 5, 6, 7}.

Therefore, the answer is B) {1, 2, 3, 4, 5, 6, 7}.

To summarize, the complement of the complement of C is the set of all elements in the universal set that are not in the complement of C.

In this case, the complement of C is {4, 5, 6, 7}, so the complement of the complement of C is {1, 2, 3, 4, 5, 6, 7}.

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For the given values, the standard deviation for this data set is approximately 3.67 minutes.

What is standard deviation?

In statistics, standard deviation is a measure used to quantify the amount of spread or dispersion of a set of numerical data around the mean. This measure indicates how much the data values vary from the average value of the dataset.

To find the standard deviation, you can follow these steps:

Find the mean (average) of the data set:

mean = (11 + 7 + 14 + 2 + 8 + 13 + 3 + 6 + 10 + 3 + 8 + 4 + 8 + 4 + 7) / 15 = 7.2

Subtract the mean from each data point:

(11 - 7.2), (7 - 7.2), (14 - 7.2), (2 - 7.2), (8 - 7.2), (13 - 7.2), (3 - 7.2), (6 - 7.2), (10 - 7.2), (3 - 7.2), (8 - 7.2), (4 - 7.2), (8 - 7.2), (4 - 7.2), (7 - 7.2)

Simplifying, we get:

3.8, -0.2, 6.8, -5.2, 0.8, 5.8, -4.2, -1.2, 2.8, -4.2, 0.8, -3.2, 0.8, -3.2, -0.2

Square each result:

13.44, 0.04, 46.24, 27.04, 0.64, 33.64, 17.64, 1.44, 7.84, 17.64, 0.64, 10.24, 0.64, 10.24, 0.04

Find the mean (average) of the squared results:

(13.44, 0.04, 46.24, 27.04, 0.64, 33.64, 17.64, 1.44, 7.84, 17.64, 0.64, 10.24, 0.64, 10.24, 0.04) / 15 = 12.49

Take the square root of the mean:

[tex]\sqrt{(12.49)[/tex] ≈ 3.67

Therefore, the standard deviation for this data set is approximately 3.67 minutes.

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From shortest to longest, the earthworms measure the following lengths:   B (3 cm), D (4.5 cm), C (9.23 cm) and A (10.2 cm)

A physical concept known as length measures the gap between two points or the expanse of an object in one dimension.

Common units used to measure it include metres (m), feet (ft), millimetres (in), centimetres (cm), etc. In several disciplines, including mathematics, engineering, physics, and engineering, length is a crucial concept.

given

From shortest to longest, the earthworms measure the following lengths:

B (3 cm), D (4.5 cm), C (9.23 cm) and A (10.2 cm)

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The speed of the copy machine is 30 pages per minute.

What is Fraction ?

A fraction is a way of representing a part of a whole or a division of a quantity into equal parts. It consists of two numbers, one written above the other and separated by a horizontal or diagonal line called a fraction bar. The number written above the fraction bar is called the numerator, and the number written below the fraction bar is called the denominator.

If the copy machine made a copy of Leslie's 3-page essay in just 1/10 of a minute, then it made a copy of one page in 1/10 ÷ 3 = 1/30 of a minute.

To find the speed of the copy machine, we can take the reciprocal of the time it takes to make one copy, which is:

1 ÷ (1/30) = 30

Therefore, the speed of the copy machine is 30 pages per minute.

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Answer:

its 1000 because if you count the blue line thing up it will show you do you have a profile picher  i need one you can be my freind pleas i have only two my name is Isabella

Answer:

Step-by-step explanation:

In first quadrent,   reference angle is equal to 332

in secodn quadrent, 332-180

angle - 180 so 332-180

fouth Quadrent, 360-332  

                                                     Answer is equal to 28

Answer:

Quadrant 1: 152°

Quadrant 2: 28°

Quadrant 3 (Given): 332°

Quadrant 4: 208°

Step-by-step explanation:

A 332° angle in standard position has its terminal side in quadrant 3 since 332° is between 180° and 360°.

332° - 180° = 152°

The reference angle for 332° is 152°

Quadrant 1: 152°

Quadrant 2: 180° - 152° = 28°

Quadrant 3 (Given): 332°

Quadrant 4: 360° - 152° = 208°

The type of sampling that assumes all members of a population have an equal chance of being selected for participation in the study is called Simple Random Sampling.

In Simple Random Sampling, each individual in the population has an equal probability of being chosen as a participant, and the selection process is unbiased. This method ensures that the sample is representative of the entire population, thus allowing for valid conclusions to be drawn about the population as a whole.

Here is a step-by-step explanation of how Simple Random Sampling is conducted:

1. Define the population: First, clearly identify the population you want to study.

2. Assign a unique number to each member: To ensure equal chances of selection, assign a unique number to every individual in the population.

3. Determine the sample size: Decide how many participants you need in your study based on factors like required level of accuracy and available resources.

4. Use a random selection method: Use a random selection method such as a random number generator, a lottery system, or a random number table to pick the required number of participants.

5. Collect data from the selected individuals: Once the participants are chosen, collect data from them using appropriate research methods like surveys, interviews, or experiments.

By using Simple Random Sampling, you can obtain a sample that is unbiased and representative of the entire population, which is essential for accurate and reliable research findings.

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There is no real solution for X. This means that the given measurements do not form a valid right triangle.

Triangle KJL forms a right triangle, with length KL (hypothenuse side) = 10 and JL = X and KL = 24.

We can use the Pythagorean theorem to solve for the missing side, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Therefore, we have:

KL² = KJ² + JL²

Substituting the given values, we get:

10² = 24² + X²

Simplifying and solving for X, we get:

100 = 576 + X²

X² = 100 - 576

X² = -476

Since X² is negative, there is no real solution for X. This means that the given measurements do not form a valid right triangle.

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