2 x seminggu (3 x 40 menit)

The correct option is (B) 9/13.

The probability that it will not snow on Tuesday is 9/13.

The ratio of the quantity of favorable outputs to the overall number of possibilities of an event is defined as probability.

The number of favorable results for an experiment with 'n' outcomes is denoted by x.

The following formula is used to determine the probability of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n.

Some properties of the probability are mentioned below-

Now, for the stated question;

The probability that it will snow on Tuesday is 4/13.

Use property 1;

Then, the probability that it will not snow on Tuesday is;

= 1 - 4/13

= (13 - 4)/13

= 9/13

Therefore, the probability that it will not snow on Tuesday is 9/13.

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Answer:

$4.161616 =

As a fraction

= $[(4 × 62500) + 10101]/62500

= $(260101/62500)

As a mixed number =

$\(4\frac{10101}{62500}\)

Step-by-step explanation:

Cost of making a computer component = $4.161616

= $4 + $0.161616

6 numbers after the decimal , hence

0.161616 × 1000000/1000000

= 161616/1000000

= 10101/62500

We are told in the question to write the repetiting decimal cost as a fraction and as a mixed number

$4 + $0.161616 = $4 + 10101/62500

As a fraction

= $[(4 × 62500) + 10101]/62500

=$260101/62500

As a mixed number = \($4\frac{10101}{62500}\)

Answer:

B

Step-by-step explanation:

when dividing powers, you just subtract them so in this case subtract 6-4 which will be 2. so your answer is 11².

In the given diagram, ΔHIJ ≈ ΔFIG, the value of u in triangle FIG is calculated as: IG = 8 yd

A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points. The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle.

A triangle is a three-sided polygon formed by three line segments intersecting at three non-collinear points, and it can be classified based on the length of its sides and the measure of its angles.

∆HIJ similar to ∆FIG

HI/FI = IJ/IG

5/10 = 4/IG

IG = 8 yd

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In the given diagram, ΔHIJ ≈ ΔFIG, the value of u in triangle FIG is calculated as: IG = 8 yd

A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points. The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle.

A triangle is a three-sided polygon formed by three line segments intersecting at three non-collinear points, and it can be classified based on the length of its sides and the measure of its angles.

∆HIJ similar to ∆FIG
HI/FI = IJ/IG
5/10 = 4/IG
IG = 8 yd

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As the sample size (n) increases, the power of the statistical test also increases.

The power of a statistical test measures the ability of the test to detect a true effect or reject a false null hypothesis. In this case, the investigator states that the power of his test at a significance level of 1% is 0.87. If the sample size (n) increases, the power of the test increases.

Increasing the sample size generally leads to an increase in the power of a statistical test. This is because a larger sample size provides more information and reduces the variability in the data. With a larger sample size, the test has a greater chance of detecting a true effect and rejecting the null hypothesis when it is false. Consequently, the power of the test increases.

In summary, as the sample size (n) increases, the power of the statistical test also increases. This is because a larger sample size enhances the test's ability to detect true effects and reject false null hypotheses, resulting in higher statistical power. Therefore, in this scenario, increasing the sample size would lead to an increase in the power of the test.

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Answer:

mode = 11.18 (non recurring)

Step-by-step explanation:

hope this answer helps you! and sorry if it looks messy

43 feet try it dw it will be correc6

Answer:

15 yards is bigger than 43 feet

Step-by-step explanation:

There are 3 feet in one yard

Multiply 15 by 3:

45 feet

Answer:

4*4*4 = 64, so the volume is 64 inches cubed

Step-by-step explanation:

The probability that the product of the numbers on the top faces of four standard six-sided dice will be prime is approximately 0.09%.

To calculate this probability, a table can be created that outlines the 36 possible combinations of numbers on the top faces of four dice. From this table, the number of prime products can be determined. As there are only three primes (2, 3, and 5) in the 36 possible products, the probability of rolling a prime product is 3/36, which is approximately 0.09%. This means that the probability of rolling a prime product on four standard six-sided dice is very low, approximately 0.09%.

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Answer:

The price of a child ticket in dollars $8.00

Step-by-step explanation:

Answer:

The rational roots theorem is a very useful theorem. It tells you that given a polynomial function with integer or whole number coefficients, a list of possible solutions can be found by listing the factors of the constant, or last term, over the factors of the coefficient of the leading term.

Hope that helps.

Answer:

Finding the Zeros of Polynomial Functions The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function. Given a polynomial functionuse synthetic division to find its zeros.

Step-by-step explanation:

i hope it helpful:)

Answer: 6 n 11 d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

answer is 85 cm I hope it help

Answer:

107.5 cm

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Answer:

x- intercept = 2, y- intercept = - \(\frac{8}{7}\)

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

4x - 7(0) = 8 , that is

4x = 8 ( divide both sides by 2 )

x = 2 ← x- intercept

To find the y- intercept , let x = 0 in the equation and solve for y

4(0) - 7y = 8, that is

- 7y = 8 ( divide both sides by - 7 )

y = - \(\frac{8}{7}\) ← y- intercept

Given the information on the table, we can see the following increases on the minimum wage:

From 1980 to 1981 : 0.25

1981 to 1990: 0.45

1990 to 1996: 0.95

1996 to 1997: 0.4

1997 to 2007: 0.7

2007 to 2009:1.4

As we can see, the minimum wage has a tendency to grow with the passing of the years, but there is not a constant of growth. Therefore, we could use the mean of these increments, and use it to estimate the approximate minimum wage for 2020. First we get the mean of this 6 numbers:

We have that, in average, the minimum wage increased 0.691 from 1981 to 2009, then, an approximation for the current year would be the following:

then, the minimum wage for the current year should be $14.84, because the mean of the increments of the given data would give us an approximate of $14.84

Answer:

m = 1

Step-by-step explanation:

y - 11 = (x+3) can be compared to the gneral point-slope formula

y - k = m(x - h), where (h, k) is a point on the line.

Notice that the coefficient of (x + 3) is 1; therefore we know immediately that the slope of the line is m = 1.

where t is the number of hours worked by Natalle

Here, we want to write an equation that will represent the given scenario

Let the number of hours for which she earned the pay be t

From the question, she earns $11 per hour

So for t hours, the amount earned excluding the tip will be;

Now, let us add the tip and equate to the total amount earned

We have this as;

Answer: 3067.77 miles per hour

Step-by-step explanation: To convert 4500 feet per second to miles per hour, we can use the conversion factor of 5280 feet = 1 mile.

First, let's convert 4500 feet per second to miles per second by dividing by 5280:

4500 ft/s ÷ 5280 ft/mi = 0.85227 mi/s

Next, we can convert miles per second to miles per hour by multiplying by 3600 (since there are 3600 seconds in an hour):

0.85227 mi/s × 3600 s/h = 3067.77 mi/h

Rounded to the nearest hundredth, 4500 feet per second is approximately equal to 3067.77 miles per hour.

Answer:

Hence, the correct answer = 3068.18 Miles Per Hour

Step-by-step explanation:

1 hour = 60 minutes

1 minute = 60 seconds

Then by Unitary method , 1 hour=60x60=3600 Seconds

To convert it into miles per hour I divided it by 5280 and multiply it by 3600 we get

Answer:

It would be $390 for the 4 hours and the cleaning fees. And the slope would be -13 if you are going from 12 to 7 but would be 13 if you are going from 7 to 12...

Step-by-step explanation:

According to the empirical rule, approximately 95% of the data falls within two standard deviations of the mean. Therefore, the approximate percentage of daily phone calls numbering between 35 and 75 is 95%.

We have been given that the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 55 and a standard deviation of 10.

We are asked to find out the approximate percentage of daily phone calls numbering between 35 and 75 using the empirical rule.

The empirical rule is used to describe how many of the observations fall within a certain distance of the mean in a normal distribution of data.

The empirical rule states that approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations of the mean, and 99.7% falls within three standard deviations of the mean.

To use the empirical rule, we first need to find the z-scores for the values of 35 and 75. We can use the formula

z = (x - μ) / σ,

where x is the value we want to find the z-score for, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

For x = 35, we have

z = (35 - 55) / 10 = -2, and

for x = 75, we have

z = (75 - 55) / 10 = 2.

So, the values of 35 and 75 are 2 standard deviations away from the mean. According to the empirical rule, approximately 95% of the data falls within two standard deviations of the mean.

Therefore, the approximate percentage of daily phone calls numbering between 35 and 75 is 95%.

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With given rate of exchange, 2,000 Swiss francs can be exchanged for approximately 3,568 Dutch guilders.

What exactly is rate?

Rate is a measure of the relationship between two quantities that are expressed in different units. It represents the amount of change in one quantity for a given change in another quantity. Rates are typically expressed as a ratio of the two quantities being compared, with one quantity serving as the numerator and the other serving as the denominator.

Now,

To solve this problem, we need to use the exchange rates for Swiss francs, U.S. dollars, and Dutch guilders

Convert Swiss francs to U.S. dollars using the Wednesday rate:

1 Swiss franc = 0.9844 U.S. dollars (Wednesday rate)

2,000 Swiss francs = 2,000 x 0.9844 U.S. dollars

= 1,968.8 U.S. dollars

Convert U.S. dollars to Dutch guilders using the Wednesday rate:

1 U.S. dollar = 1.8120 Dutch guilders (Wednesday rate)

1,968.8 U.S. dollars = 1,968.8 x 1.8120 Dutch guilders

= 3,568.34 Dutch guilders (rounded to two decimal places)

Therefore,  based on the Wednesday rate, 2,000 Swiss francs can be exchanged for approximately 3,568 Dutch guilders.

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Differential equations involve the study of mathematical equations that relate an unknown function to its derivatives or differentials.

Zero-input response (yzi(t)) refers to the response of the system when there is no input (x(t) = 0). To find the zero-input response of the given system, we need to solve the homogeneous equation:

d²y(t)/dt² + 4(dy(t)/dt) + 3y(t) = 0

Using the characteristic equation approach, let's assume the solution to the homogeneous equation is of the form y(t) = e^(λt). Substituting this into the equation, we get:

λ²e^(λt) + 4λe^(λt) + 3e^(λt) = 0

Dividing the equation by e^(λt) gives:

λ² + 4λ + 3 = 0

Factoring the quadratic equation, we have:

(λ + 3)(λ + 1) = 0

This gives two distinct values for λ: λ = -3 and λ = -1.

Therefore, the general solution for the homogeneous equation is:

y(t) = c₁e^(-3t) + c₂e^(-t)

Using the initial conditions y(0) = -3 and y'(0) = 2, we can find the particular solution. Differentiating y(t) with respect to t and applying the initial conditions, we obtain:

y'(t) = -3c₁e^(-3t) - c₂e^(-t)

Applying the initial conditions y(0) = -3 and y'(0) = 2, we get:

c₁ + c₂ = -3 (equation 1)

-3c₁ - c₂ = 2 (equation 2)

Solving equations 1 and 2 simultaneously, we find c₁ = -2 and c₂ = -1.

Therefore, the zero-input response of the system is given by:

yzi(t) = -2e^(-3t) - e^(-t)

To find the zero-state response (yzs(t)) of the system to the unit step input (x(t) = u(t)), we need to solve the differential equation:

d²y(t)/dt² + 4(dy(t)/dt) + 3y(t) = u(t) - 2u(t)

Taking the Laplace transform of both sides of the equation, we have:

s²Y(s) - sy(0) - y'(0) + 4sY(s) - 4y(0) + 3Y(s) = 1/s - 2/s

Applying the initial conditions y(0) = -3 and y'(0) = 2, and rearranging the equation, we get:

s²Y(s) + 4sY(s) + 3Y(s) - s(-3) - 2 + 4(-3) = 1/s - 2/s

Simplifying further, we have:

Y(s) = (s + 7)/(s² + 4s + 3) + 1/(s(s - 2))

Using partial fraction decomposition, we can express Y(s) as:

Y(s) = A/(s + 1) + B/(s + 3) + C/s + D/(s - 2)

Multiplying through by the denominator, we get:

s + 7 = A(s + 3)(s - 2) + B(s + 1)(s - 2) + C(s² - 2s) + D(s² + 4s + 3)

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Ilsa is currently 39 years old.

Let's start by defining the variables:

From the given information, we can create two equations:

We know that Ed is 29, so we can substitute this value into equation 2:

29 - M = 2(I - M)

Simplifying this equation, we get:

2M - I = 29

Now we can use equation 1 to substitute I with M + 5:

2M - (M + 5) = 29

Simplifying this equation, we get:

M = 34

Therefore, Meghan is currently 34 years old. We can use equation 1 to find Ilsa's age:

I = M + 5 = 34 + 5 = 39

So Ilsa is currently 39 years old.

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A study of all the students at a small college showed a mean age of 20.4 and a standard deviation of 2.7 years.

(a) These numbers are statistics because they are based on a sample of students from a small college. They are not certain, but estimates.

(b) The mean age is labeled with the symbol x and the standard deviation with the symbol s. The sample size is not given, so we cannot use the symbol n to represent it.

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Answer:

  11.6 ft²

Step-by-step explanation:

We assume the 1/8 scale factor is the ratio of the linear dimensions of the smaller of the prisms to the larger. The ratio of areas will be the square of the ratio of the linear dimensions.

__

The ratio of areas will be ...

  smaller area / larger area = (scale factor)²

  smaller area = (larger area)×(scale factor)² . . . multiply by the denominator

  smaller area = (740 ft²) × (1/8)² = 11.5625 ft² . . . use given values

The surface area of the smaller prism is about 11.6 square feet.

The critical t-score for estimating the population mean using a 99% confidence interval and a random sample of 35 individuals is approximately 2.733.

To estimate a population mean using a 99% confidence interval and a random sample of 35 individuals, you need to find the critical t-score.

Step 1: Determine the degrees of freedom. For a sample of 35 individuals, the degrees of freedom (df) = sample size - 1 = 35 - 1 = 34.

Step 2: Find the critical t-score using a t-table or an online calculator. For a 99% confidence interval and 34 degrees of freedom, the critical t-score is approximately 2.733.

Your answer: The critical t-score for estimating the population mean using a 99% confidence interval and a random sample of 35 individuals is approximately 2.733.

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Answer:

Bond Price / Interest Yield, %

$8,500 / 8.24%

$9,500 / 7.37%

$10,500 / 6.67%

$11,500 / 6.09%

$13,500 / 5.19%

Step-by-step explanation:

To calculate the interest rate or bond price, we can use the following formula:

Bond price = Annual interest payment / Interest rate

For a bond price of $8,500:

Interest rate = Annual interest payment / Bond price

Interest rate = $700 / $8,500

Interest rate = 0.0824 or 8.24%

For an interest yield of 7.37%:

Bond price = Annual interest payment / Interest rate

$8,500 = $700 / 0.0737

Bond price = $9,500.20 or $9,500 (rounded to the nearest hundred dollars)

For a bond price of $10,500:

Interest rate = Annual interest payment / Bond price

Interest rate = $700 / $10,500

Interest rate = 0.0667 or 6.67%

For a bond price of $11,500:

Interest rate = Annual interest payment / Bond price

Interest rate = $700 / $11,500

Interest rate = 0.0609 or 6.09%

For an interest yield of 5.19%:

Bond price = Annual interest payment / Interest rate

$8,500 = $700 / 0.0519

Bond price = $13,481.86 or $13,500 (rounded to the nearest hundred dollars)

So the completed table is:

Bond Price / Interest Yield, %

$8,500 / 8.24%

$9,500 / 7.37%

$10,500 / 6.67%

$11,500 / 6.09%

$13,500 / 5.19%

Answer: 16 students

Step-by-step explanation:

2x + (2•4) = 4x

2x + 8 = 4x

-2x -2x

8 = 2x
(Divide by 2 on both sides)

vvv

2x/2= x

8/2 = 4

x = 4

(substitute 4 in for x)

2(4) + 8 = 4(4)

8+8 = 16

16 = 16