Kaitlyn loves to read. She reads 90 pages in half an hour. How many pages does she read per minute?

Answer:

49.0197m

Step-by-step explanation:

The formula is d = c / π, allow d to be diameter and c to be circumference

Answer:

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

Step-by-step explanation:

I think so

In given word problem Deana takes 4 weeks to complete the 462 miles.

What is word problem?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement.

Here to find Rate per week we need to divide the miles by weeks then,

Pavel weekly rate = \(\frac{672}{21}\) = 32 miles per week.

Alberto weekly rate = \(\frac{420}{12}\) = 35

Here Deana weekly mileage rate was greater than Pavel's rate but less than Alberto's rate . Then it must be 33 or 34.

Now divide Deana miles by 33 then

=> \(\frac{462}{33}\) = 14 weeks

Now divide Deana miles by 34 then

=> \(\frac{462}{34}\) = 15.58

Here weeks can't be in decimal.

Hence it takes 14 weeks to complete her run.

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Using the uniform distribution, we have that:

a) The graph is given at the end of the answer.

b) Jayden waits more than 7 minutes 30% of the days.

c) The 38th percentile is of 3.8 minutes.

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

\(P(X < x) = \frac{x - a}{b - a}\)

The probability of finding a value between c and d is:

\(P(c \leq X \leq d) = \frac{d - c}{b - a}\)

The probability of finding a value above x is:

\(P(X > x) = \frac{b - x}{b - a}\)

For this problem, the bounds are given as follows:

a = 0, b = 10.

As shown in the graph at the end of the answer.

The probability of waiting more than 7 minutes is:

\(P(X > 7) = \frac{10 - 7}{10 - 0} = 0.7\)

Jayden waits more than 7 minutes 30% of the days.

The 38th percentile is x for which P(X < x) = 0.38, hence:

\(P(X < x) = \frac{x - a}{b - a}\)

0.38 = x/10

x = 3.8.

The 38th percentile is of 3.8 minutes.

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Answer:

Step-by-step explanation:

The rising time of a star depends on its right ascension and the latitude of the observer.

In this case, since both stars have the same declination, their altitude above the horizon at any given time will be the same. Therefore, the star with the smaller right ascension will rise first.

Since star A has a right ascension of 5h and star B has a right ascension of 2h, star B will rise first. This is because the Earth rotates from west to east, causing the stars to appear to move from east to west in the sky. As a result, stars with smaller right ascensions will appear to rise earlier in the east than those with larger right ascensions.

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Answer: 2

Step-by-step explanation:

9/3 =3

3-2 = 1

1*2 = 2

Answer:

-3 < x \(\leq\) 4

Step-by-step explanation:

A closed circle means that you are including that number in the solution and an open circle means that you are not including that number in the solution.  In this situation 4 is a solution, but -3 is not.

Helping in the name of Jesus.

The formula to calculate the magic number in MLB is: Magic number = 163 - (number of wins by leading team) + (number of losses by trailing team) - 1.

The "magic number" in Major League Baseball (MLB) represents the combination of wins by the leading team and losses by the trailing team required for the leading team to clinch a playoff spot. To calculate the magic number, follow these steps:

1. Determine the total number of games in the season. In MLB, this is typically 162 games.

2. Subtract the number of games in the season from 163. For example, 163 - 162 = 1.

3. Subtract the number of wins by the leading team from 163. For example, if the leading team has 90 wins, 163 - 90 = 73.

4. Add the result from step 2 to the result from step 3. For example, 73 + 1 = 74.

5. Finally, subtract the number of losses by the trailing team from the result of step 4. For example, if the trailing team has 80 losses, 74 - 80 = -6. In this case, the magic number is zero, meaning that the leading team has already clinched a playoff spot.

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Answer:

50 percent

Step-by-step explanation:

Answer: there is a 50% chance

Step-by-step explanation:

there are three numbers less than four on a number cube. 3/6 is equivalent to 1/2

Answer:

3 1/2 hours.

Step-by-step explanation:

If the Half Time show is one-seventh of the show and lasts for 30 minutes, we can multiply that by 7 to get the total amount of minutes.

30 x 7 = 210

To convert the number of minutes to hours, 210 can be divided by 60 to result in a total of 3.5, therefore, the Super Bowl lasts for 3 1/2 hours.

The given function is f(x) = (4-x)/29. We need to find the x-values where f is not continuous and determine whether the discontinuities are removable or nonremovable.

For this function, there are no nonremovable discontinuities. The only type of discontinuity that could occur is a removable discontinuity. This occurs when a point is undefined, but the limit exists and is finite. In other words, the function can be made continuous by redefining it at that point.

To find any possible removable discontinuities, we need to find the values of x for which the denominator becomes zero, because division by zero is undefined. The denominator is always 29, which is never zero, so there are no values of x for which the denominator is zero. Therefore, there are no removable discontinuities.

In conclusion, the function f(x) = (4-x)/29 is continuous for all values of x, and there are no removable or nonremovable discontinuities.

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The correct explanation is (4). The spinner is likely fair, since in the output the player wins once or twice in the majority of the simulations.

The spinner is considered fair if the probability of winning each spin is 0.1, which means that the player should win about 1 out of every 10 spins. The output of the simulation shows that in the majority of the simulations, the player won once or twice, which is consistent with the expected probability of winning.

The fact that Miles lost all 10 times when he spun the spinner is just a matter of chance. It is possible to lose 10 times in a row even if the spinner is fair. In fact, the probability of losing 10 times in a row is about 0.1%, which is not very likely, but it is still possible.

Therefore, there is no evidence to suggest that the spinner is unfair. It is more likely that Miles simply lost due to chance.

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The volume of the sphere with a diameter of 6 mi is  approximately 113.04 cubic miles.

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

Where r is the radius of the sphere and π is the mathematical constant pi (approximately equal to 3.14).

From the image:

Diameter d = 6 mi

Radius r = diamter/2 = 6/2 = 3 mi

Plug the value into the above formula and solve for the volume:

Volume =  (4/3)πr³

Volume =  (4/3) × 3.14 × (3 mi)³

Volume =  (4/3) × 3.14 × 27 mi³

Volume =  113.04 mi³

Therefore, the volume is 113.04 cubic miles.

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The area of a two-dimensional cross-section depends on the shape it represents, such as a square, rectangle, triangle, circle, or any other polygon. Each shape has its own formula for calculating its area.

In order to determine the area of the cross-section, we need additional information such as the shape of the cross-section, its dimensions, or any other relevant details. Without this information, it is not possible to calculate the area. Please provide more details or a specific shape or scenario so that an accurate answer can be generated. Once the shape is specified, the appropriate formula can be applied to calculate the area.

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As per the distribution, the value of P(X > 17) is 1/4

In this problem, we are given that the random variable X has a discrete uniform distribution on the integers 12, 13, ..., 19. This means that each of these integers has an equal chance of being the value of X, and any other value outside this range has a probability of 0. We can represent this distribution using a probability mass function, which gives the probability of each possible value of X.

To find the value of P(X > 17), we need to calculate the probability that X takes on a value greater than 17. Since the distribution is uniform, the probability of X being any of the integers in the range is 1/8.

Therefore, we can find the probability of X being greater than 17 by adding up the probabilities of X being equal to 18 or 19, which are the only values greater than 17 in the distribution.

Thus, we have P(X > 17) = P(X = 18) + P(X = 19) = (1/8) + (1/8) = 1/4.

This means that there is a 1/4 chance that X will be greater than 17.

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Answer:

B

There are 2.54 centimeters to every inch.

30/2.54 is 11.8

The length of the string in inches in 11.8.

In order to determine the length of the string in inches, the unit of conversion of centimeters to inches have to be first determined. 1 centimeter is equivalent to 0.393701 inches.

1 cm = 0.393701 inches

The second step is to multiply the length of the string in centimeter by the unit of conversion.

Length of string x unit of conversion

30 x 0.393701

= 11.8 (to one decimal place).

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Answer:

la raiz cuadrada de 144 es 12

g(t) is approximately equal to 0 for t = -5.2, -4.7, -4.2, to 2 significant figures.

To find the inverse Laplace transform of f(t) = (s+4)^(-3), we can use the Laplace transform table. According to the table, the inverse Laplace transform of (s+a)\(^(-n)\) is given by:

\(L^(-1)[(s+a)^(-n)] = (1/(n-1)!)*t^(n-1)*e^(-at)\)

Applying this formula to f(t) = (s+4)^(-3), we have:

\(L^(-1)[(s+4)^(-3)] = (1/(3-1)!)*t^(3-1)*e^(-4t) = (1/2)t^2e^(-4t)\)

Therefore,\(f(t) = (1/2)t^2e^(-4t)\)

Now, let's find A and B that satisfy g(t) = u(t - A)*f(t - B), where

\(g(t) = L^(-1)[e^(5s)/(s+4)^3].\)

Since the Laplace transform of u(t - A) is e^(-As)/s, we can rewrite g(t) as:

\(g(t) = L^(-1)[e^(5s)/(s+4)^3] \\= L^(-1)[e^(5s)] * L^(-1)[(s+4)^(-3)] \\= u(t - A) * (1/2)*(t-B)^2 * e^(-4(t-B))\)

Comparing this with the given expression for g(t), we can conclude that A = B = 0.

Therefore, A = 0 and B = 0.

Now, let's calculate g(t) for t = -5.2, -4.7, -4.2.

For t = -5.2:

\(g(-5.2) = u(-5.2 - 0) * (1/2)*(-5.2)^2 * e^(-4(-5.2))\)

For t = -4.7:

\(g(-4.7) = u(-4.7 - 0) * (1/2)*(-4.7)^2 * e^(-4(-4.7))\)

For t = -4.2:

\(g(-4.2) = u(-4.2 - 0) * (1/2)*(-4.2)^2 * e^(-4(-4.2))\)

Evaluating these expressions, we get:

g(-5.2) ≈ 0

g(-4.7) ≈ 0

g(-4.2) ≈ 0

Therefore, g(t) is approximately equal to 0 for t = -5.2, -4.7, -4.2, to 2 significant figures.

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Answer:

the answer will be..

x=-1

x=4

(x+1) (x-4)

but im sorry i dunno what's lesser and greater means

Answer:

the missing angle is 30 and the missing exterior angle is 150

Step-by-step explanation:

180-90=90-60=30

180-30=150

Answer: Exterior angle = 150 degrees

Step-by-step explanation:

Hope that helps!

:)

Number of students that selected the elective subject of religion in 2014 is 1344

The problem tells us that in 2013, there were 1400 students who selected the elective subject of religion.

Then, in 2014, this figure decreased by 4%. This means that the new figure in 2014 will be 4 percentage less than the figure in 2013.

To calculate what 4% of 1400 is, we need to multiply 1400 by 4/100, which gives us 56. So, 56 students did not select the elective subject of religion in 2014 compared to 2013.

So, the number of students who selected the elective subject of religion in 2014 is

= 1400 - 56

= 1344

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Answer:

\(\{58198.2573,58239.7427\}\)

Step-by-step explanation:

We assume that the following conditions are true before constructing the confidence interval:

Assumption #1: Random Sampling.

Assumption #2: Independence.

Assumption #3: Large Sample.

Assumption #4: The 10% Condition (sample size is no bigger than 10% of population

Assumption #5: The Success / Failure Condition.

Assumption #6: Homogeneity of Variances.

A 95% confidence level correlates to a critical value of \(z^*=1.96\), hence:

\(\displaystyle CI=\bar{x}\pm z^*\biggr(\frac{s}{\sqrt{n}}\biggr)\\\\CI=58219\pm 1.96\biggr(\frac{56}{\sqrt{28}}\biggr)\\\\CI=58219\pm20.7427\\\\CI=\{58198.2573,58239.7427\}\)

Therefore, we are 95% confident that the true mean of the average yearly income for a married couple living in city C is between $58,198.2573 and $58,239.7427

Answer:

12 horizontally and 5 vertically

Step-by-step explanation:

0 to 12 = 12 positively

0 to 5 = 5 positively

Answer:

Hypotenuse, which is 13 units.

Step-by-step explanation:

If your starting point is origin and your dinal x is 5 and your final y is 12, you can compute the distance by. m=√x2+y ...

If the expected frequencies are not all equal, we can determine them by using the equation enp for each individual category, where n is the total number of observations and p is the probability for the category. This equation helps us calculate the expected frequency for each category based on their probabilities and the total number of observations.

On the other hand, if the expected frequencies are equal, we can determine them by using the equation n/k, where n is the total number of observations and k is the number of categories. This equation helps us distribute the total number of observations equally among the categories when the expected frequencies are equal.

Expected frequencies do not necessarily have to be whole numbers. They can be decimals or fractions depending on the context and calculations involved.

Goodness-of-fit hypothesis tests can be left-tailed, right-tailed, or two-tailed. These different types of tests allow us to assess whether the observed data significantly deviates from the expected frequencies. The choice of the tail depends on the specific research question and the alternative hypothesis being tested.

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2 to the power of 5 can be written as

\($2^{5}\) = 2 2 2 2 2 2 = 32.  Power is defined as a base number multiplied by its exponent, where the base number is the factor multiplied by itself and the exponent is the number of times the same base number is multiplied.

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The probability that, both tries to own a dog is 0.2500.

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

P(A) = f / N determines probability, which quantifies the possibility of an event happening. Probability and odds are related, but probability is necessary for odds to exist. Prior to calculating the likelihood that an event will occur, probability is required.

Here, 50% of people own dog.

P(people own dog) = 50/100

= 0.5

P(both people own dog) = 0.5×0.5 = 0​​​​​​.2500

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A slow-moving barge moves through the sea at a speed of 4 km/h. It travels 8 miles upstream in the same amount of time as a barge traveling 24 miles downstream with the current. The current moves at a 2 km/h rate.

Let’s start by using the formula for distance, rate, and time:

Distance = rate x time

Let’s assume that the rate of the current is r km per hour.

Going upstream (against the current), the effective rate of the barge is:

4 – r km per hour

Going downstream (with the current), the effective rate of the barge is:

4 + r km per hour

We are told that the time it takes the barge to travel 8 miles upstream is the same as the time it takes to travel 24 miles downstream. Using the formula, we can set up the following equation:

8 / (4 – r) = 24 / (4 + r)

We can simplify this equation by cross-multiplying:

8(4 + r) = 24(4 – r)

Expanding and simplifying, we get:

32 + 8r = 96 – 24r

Adding 24r and subtracting 32 from both sides, we get:

32r = 64

Dividing both sides by 32, we get:

R = 2

Therefore, the rate of the current is 2 km per hour.

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