Jessie likes to ride her bike around a circular track with a radius of
25.8 yards. If she rides around the track 3 times, about how far
will she ride?
A 162 yards
B 243 yards
C 309 yards
D 486 yards

Answer:

A. W

Step-by-step explanation:

Because their is a rhythm and pattern

Answer:

G could be at either 14 or at -6.

Step-by-step explanation:

Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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Costo de opcion 1: y = 0.05x + 20

Costo de opcion 2: y = 0.20x + 5

500 (250 cada uno) mensajes en opcion 1: y = 0.05(500) + 20 = 25 + 20 = 45

500 (250 cada uno) mensajes en opcion 2: y = 0.20(500) + 5 = 100 + 5 = 105

Como cada quien paga la mitad:

Pago en opcion 1: 45/2 = $22.50

Pago en opcion 2: 105/2 = $52.50

Respuesta:

Pago en opcion 1: $22.50

Pago en opcion 2: $52.50

The correct option regarding the sampling distribution of p, considering the Central Limit Theorem, is given as follows:

D. The shape of the sampling distrbution of p is approximately normal because n <= 0.05N and np(1 -p) > 10.

The mean of the sampling distribution of p is of:

0.388.

The standard deviation of the sampling distribution of p is of:

0.0184.

The Central Limit Theorem defines the distribution of the sampling distribution of sample proportions of a proportion p in a sample of size n, in which:

As long as these two conditions are respected:

The values of the parameters in this context are given as follows:

N = 30000, n = 700, p = 0.388.

Hence the conditions are:

Then the shape is approximately normal and option D is correct.

The mean of the distribution is of:

\(\mu = p = 0.388\)

The standard error of the distribution is of:

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.388(0.612)}{700}} = 0.0184\)

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Answer:

simplify:  9.59x(2^6)+7x^8

613.76x+7x8   =7x^8+613.76x

factor: 7x^8+613.76x

x(7x^7+613.76)  =x(7x^7+613.76)

Answer:

1 spanner 2 greoun red 3 blue 4 .... 6 blue

After using the concept of combinations, John can bring 10 different combinations of fruit to school.

To determine the number of combinations of fruit that John can bring to school, we need to calculate the number of ways he can choose 2 fruits from the given options. This can be done using the concept of combinations.

The formula for calculating combinations is:

C(n, r) = n! / (r! * (n - r)!)

Where n is the total number of items (fruits) and r is the number of items (fruits) to be chosen.

In this case, John has 5 fruits (n = 5) and he wants to bring 2 fruits (r = 2) to school.

Using the formula, we can calculate:

C(5, 2) = 5! / (2! * (5 - 2)!)

= 5! / (2! * 3!)

= (5 * 4 * 3!) / (2! * 3!)

= (5 * 4) / 2

= 10

Therefore, John can bring 10 different combinations of fruit to school.

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Answer:

1/6

Step-by-step explanation:

Answer:

0.16666666

repeated

or≈0.17

Step-by-step explanation:

Let Asia's and Rani's age be "x"

Since Asia is 10 years bigger Asia will be "x+10"

Asia's Age + Rani's Age = 200

x + x + 10 = 200

2x + 10 = 200

2x = 200 - 10

2x = 190

x = 190

     -----

       2

x = 95

Asia = x + 10

          95 + 10

          105

Rani's age is 95 and Asia's Age is 105

The appropriate probability distribution to use to test the null hypothesis in this scenario is the t distribution. This is because the sample size is small (n = 12) and the population standard deviation is unknown. The t distribution allows for estimation of the population mean based on the sample mean and standard deviation.

To test the null hypothesis for this problem, you should use the t-distribution. Here's an explanation of why:
1. You have a small sample size (n = 12), which is less than 30. When you have a small sample size, the t-distribution is more appropriate than the normal distribution.
2. The data consists of paired samples, with each person using the slicer and not using the slicer. This means you are comparing the mean differences within the paired samples.
3. The problem doesn't involve proportions or frequencies, so the chi-square and binomial distributions are not suitable here.

Based on these reasons, the appropriate probability distribution to use for this problem is the t-distribution (option B).

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The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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the width of the strip that has been mowed around the rectangular field is (x - 20) / 2.

To find the width of the strip that has been mowed around the rectangular field, we need to determine the length of the unmowed side.

Given that one half of the lawn has not yet been mowed, we can consider the length of the unmowed side as x. Therefore, the length of the mowed side would be 80 - x.

Since the strip has a uniform width around the entire field, we can add the width to each side of the mowed portion to find the total width of the field:

Total width = (80 - x) + 2(width)

Given that the dimensions of the field are 60 feet by 80 feet, the total width of the field should be 60 feet.

Therefore, we have the equation:

Total width = (80 - x) + 2(width) = 60

Simplifying the equation:

80 - x + 2(width) = 60

We know that the field is rectangular, so the width is the same on both sides. Let's denote the width as w:

80 - x + 2w = 60

To find the width of the strip that has been mowed, we need to solve for w. Rearranging the equation:

2w = 60 - (80 - x)

2w = -20 + x

w = (x - 20) / 2

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Answer:

3/26

Step-by-step explanation:

6 of the 52 cards are red

The probability that exactly 4 total launches will be performed until an unsuccessful launch occurs is approximately 0.0720 or 7.2%

The probability of exactly 4 total launches being performed until an unsuccessful launch occurs, we can use the geometric probability formula.

In this case, the probability of a successful launch (p) is 0.7 (since the probability of an unsuccessful launch is 0.3). We want to find the probability of 4 successful launches followed by an unsuccessful launch.

The probability of exactly 4 successful launches followed by an unsuccessful launch can be calculated as follows:

P(4 successful launches followed by an unsuccessful launch) = (p⁴) × (1-p)

P(4 successful launches followed by an unsuccessful launch) = (0.7⁴) × (1-0.7)

P(4 successful launches followed by an unsuccessful launch) = 0.7⁴ × 0.3

P(4 successful launches followed by an unsuccessful launch) = 0.2401 × 0.3

P(4 successful launches followed by an unsuccessful launch) ≈ 0.0720

Therefore, the probability that exactly 4 total launches will be performed until an unsuccessful launch occurs is approximately 0.0720 or 7.2%

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Answer:

-9

Step-by-step explanation:

Plug 5 into the equation in place of the x:

- x - 4 becomes -(5) - 4.

-5 - 4 = -9

:)

The length and the width of the garden are 6 feet and 4 feet, respectively.

The problem states that the length of a rectangular garden is 2 feet longer than the width. The area of the garden is also given as 48 square feet. To solve this problem, we first need to express the given information as an equation. We know that the area of a rectangle is equal to the length multiplied by the width, or A = lw. We also know that the length is 2 feet longer than the width, so we can express this as l = w + 2. We can substitute this value into the area equation to form the equation A = (w + 2)w.

Now that we have the equation in terms of w, we can solve for w by isolating the w on one side of the equation. We can do this by dividing both sides of the equation by (w + 2). This gives us A/(w + 2) = w, and when we plug in the area of 48 square feet, we end up with 48/(w + 2) = w. We can now solve for w by multiplying both sides of the equation by (w + 2) and then subtracting 48 from both sides. This gives us (w + 2)w - 48 = 0. We can now solve this equation using the quadratic formula to find the two solutions for w. The solutions are w = 4, and w = -12.

We can now use the values of w to find the length of the garden. We know that l = w + 2, so when we plug in the two values of w, we get l = 4 + 2 = 6 and l = -12 + 2 = -10. We know that the length of the garden must be a positive number, so the correct answer for the length is 6 feet. This means that the width of the garden is 4 feet. Therefore, the length and the width of the garden are 6 feet and 4 feet, respectively.

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The average number of beads that the girls have is 63

Let's start by using algebra to represent the given information:

Let b be the number of beads that Sally has.

Then, Kelly has 3/4 times as many beads as Sally, which can be expressed as (3/4)b.

Also, we know that Kelly has 18 more beads than Sally, which can be expressed as (b + 18).

Putting these together, we can write the equation:

(3/4)b = b + 18

Solving for b, we get:

b = 72

So, Sally has 72 beads, and Kelly has (3/4) × 72 = 54 beads.

The average number of beads that the girls have is (72 + 54)/2 = 63 beads

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To compare the 3-month and 12-month moving average forecasts using the mean absolute deviation (MAD) criterion, we need to calculate the MAD for each model and then compare them. The MAD is a measure of the average magnitude of the forecast errors, and a lower MAD indicates a better forecast.

To calculate the MAD for the 3-month moving average model, we need to first calculate the forecasted values for each month by taking the average of the unemployment rates for the previous 3 months. For example, the forecasted value for April 2018 would be the average of the unemployment rates for January, February, and March 2018. We then calculate the absolute deviation between the forecasted value and the actual value for each month, and take the average of those deviations to get the MAD for the 3-month moving average model.

We can repeat this process for the 12-month moving average model, but instead of taking the average of the previous 3 months, we take the average of the previous 12 months.

Once we have calculated the MAD for both models, we can compare them to determine which model yields better results. Generally, a lower MAD indicates a better forecast. However, it is important to note that the MAD criterion only considers the magnitude of the forecast errors and does not take into account the direction of the errors (i.e., overestimation versus underestimation).

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Full Question ;

The accompanying dataset provides data on monthly unemployment rates for a certain region over four years. Compare 3- and 12-month moving average forecasts using the MAD criterion. Which of the two models yields better results? Explain. Click the icon to view the unemployment rate data. Find the MAD for the 3-month moving average forecast. MAD = (Type an integer or decimal rounded to three decimal places as needed.) A1 fx Year D E F G H I 1 2 3 1 с Rate(%) 7.8 8.3 8.5 8.9 9.4 9.6 9.4 9.5 9.7 9.9 9.8 10.1 9.9 9.7 9.8 9.91 9.7 9.4 9.6 9.4 9.3 9.5 9.9 9.5 9.2 9.1 8.9 A B Year Month 2013 Jan 2013 Feb 2013 Mar 2013 Apr 2013 May 2013 Jun 2013 Jul 2013 Aug 2013 Sep 2013 Oct 2013 Nov 2013 Dec 2014 Jan 2014 Feb 2014 Mar 2014 Apr 2014 May 2014 Jun 2014 Jul 2014 Aug 2014 Sep 2014 Oct 2014 Nov 2014 Dec 2015 Jan 2015 Feb 2015 Mar 2015 Apr 2015 May 2015 Jun 2015 Jul 2015 Aug 2015 Sep 2015 Oct 5 7 3 ) 1 2 3 1 5 7 9.1 ) 9. 1 2 3 1 5 7 ) 9.1 8.9 8.9 8.9 8.9 8.7 8.4 8.3 8.3 8.4 8.1 8.1 8.4 8.2 8.3 7.7 7.9 7.9 7.8 1 2 2015 Dec 2016 Jan 2016 Feb 2016 Mar 2016 Apr 2016 May 2016 Jun 2016 Jul 2016 Aug 2016 Sep 2016 Oct 2016 Nov 2016 Dec 3 1 5 3 2 2

The sampling distribution of the difference of means is a T distribution. The populations have equal but unknown standard deviation's; therefore, we "pool" the sample standard deviation's. are the two assumptions made when used a two sample test of mean with equal standard deviations

What is Standard deviations?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the deviation of each data point from the mean, the standard deviation may be determined as the square root of variance.

The higher the deviation within the data set, the further the data points deviate from the mean; consequently, the higher the standard deviation, the more dispersed the data.

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Answer:

F can be at 19 or -5

Step-by-step explanation:

If F is on positive number line, F-E=12

F=12+7=19

If F is on negative number line, E-F=12

-F=12-7=5, F=-5

The number given is

It is a real number , irrational number and integer.

The correct options are

Irrational number

Integer

Real number.

When stating the null and alternative hypotheses, the hypotheses are sometimes about the statistic and sometimes about the parameter (option d).

When stating the null and alternative hypotheses in hypothesis testing, it can vary depending on the specific research question and context.

In some cases, the hypotheses may be formulated in terms of the parameter being tested. The parameter represents the population characteristic or effect of interest. For example, if we are interested in testing whether the population mean is equal to a specific value, the null and alternative hypotheses would be about the parameter.

In other cases, the hypotheses may be formulated in terms of the statistic being calculated from the sample data. The statistic is a value calculated from the sample and used to estimate the parameter. For example, if we are interested in comparing two population means, the null and alternative hypotheses would be about the statistic, such as the difference between the sample means.

Therefore, depending on the research question and the specific test being conducted, the null and alternative hypotheses can be formulated in terms of either the statistic, the parameter, or both. The correct option is d.

The complete question is:

When stating the null and alternative hypotheses, the hypotheses are:

Select one:

a. Always about the parameter only

b. Always about the statistic only

c. Always about both the statistic and the parameter

d. Sometimes about the statistic and sometimes about the parameter

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Answer: hope I helped look down

Step-by-step explanation:

Gain = (713 – 620)= 93 Rs. So, the gain percent is 15%

Answer:

700,967

Step-by-step explanation:

in this situation it is like hundred thousands, thousands, tens and ones

Answer:

1. a=90; b=110

2. a=140

3. b=105

4. c=60

5. d=50

Step-by-step explanation:

For Problem 1, A can be found by adding up all the exterior angles and minus the final number by 360. The final number is 270, and 360-270=90, so a=90. To find b, you need to do 180-70=110, so b=110 Another way you could do it is get the original number as 360 and minus all the angles until you get the variable's angle.

For problem 2, you can do the same thing you did to find A in problem 1, which is 140.(360-120-100=140)

For problem 3, we can do the same as the problems before us, so b would be   105. (360-95-70-90=105)

For problem 4, we get c as 60 (360-55-55-90-100=60)

Problem 5 would be d=50 (360-70-70-70-60-40=50)

Answer:

X-intercept

Step-by-step explanation:

A "zero" of a function is thus an input value that produces an output of 0. An alternative name for such a point (x, 0) in this context is an x-intercept.

a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

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The equation for slope intercept form is written as y = ax +b, where a is the slope and b is the y-intercept.

Using the given slope and y-intercept the equation is:

y = -4x - 9

Answer: C) Alternate interior angles

The blue angles marked are inside the parallel lines, so they are considered interior. They are on alternating sides of the transversal line. The angles are only congruent when the lines are parallel.

Answer: C

Step-by-step explanation: