Unit 4
11. Find the minimum, quartile 1, median, quartile 3, and maximum of this dataset:
Wilder 10-day Weather Forecast
78, 83, 86, 86, 74, 69, 72, 76, 78, 79
4




Please help me!!!! With 11!!!!

The probability that 3 out of the 4 captured elk have been tagged is approximately 0.0053.

We can use the concept of combinations.

The total number of ways to choose 4 elk out of 24 is given by the combination formula:

C(24, 4) = 24! / (4!(24-4)!) = 10,626

Now, we need to consider the number of ways to choose 3 tagged elk out of the 8 tagged elk and 1 untagged elk. The number of ways to do this is given by:

C(8, 3) * C(1, 1) = 8! / (3!(8-3)!) * 1! / (1!(1-1)!) = 56

Therefore, the probability that 3 out of the 4 captured elk have been tagged is:

P = (Number of ways to choose 3 tagged elk out of 8 tagged elk and 1 untagged elk) / (Total number of ways to choose 4 elk out of 24)

P = 56 / 10,626

Calculating this division gives us the probability:

P ≈ 0.0053

So, the probability that 3 out of the 4 captured elk have been tagged is approximately 0.0053 .

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Answer:

19 fiction books

7 nonfiction books

Step-by-step explanation:

your welcome if it helped

Step-by-step explanation:

Marcus plays 4 commercials for 30 seconds and 8 commercials for 60 seconds.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Let Marcus plays x commercial for 30 seconds,

And Marcus plays y commercial for 60 seconds.

Given that,

Total radio shows = 12,

Implies that,

x + y = 12             (1)

Total time = 10 minutes,

                 = 10 x 60 = 600 seconds

The above expression can be written as,

30x + 60y = 600

x + 2y = 20         (2)

By solving equation (1) and (2)

x = 4 and y = 8

So, Marcus does 4 radio shows for 30 seconds and 8 radio shows for 60 seconds.

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Answer:

1.  18        3. 52       5. 95%

Step-by-step explanation:

1. 120 x 0.15= 18.00 (15% of 120 is 18)

3. 84 x 0.03= 2.52

5. 72• x / 72 = 68.4/ 72

x=0.95 ⇒ 95%

Answer:

1. 9

2. 90

3. 900

4. 9,000

Step-by-step explanation:

3 x 3 = 9

3 x 30 = 90

3 x 300 = 900

3,000 x 3 = 9,000

Answer:

it is D i just bib the test and got it right

Step-by-step explanation:

Answer: Full Moon

Step-by-step explanation:

A line segment has two endpoints and you can measure them, as shown in the picture with endpoints A and B.

Whereas, A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. You cannot measure the length of a ray. (second picture with the arrow)

Answer:

m = 5

Step-by-step explanation:

Recall that "slope" = rise/run.

Moving from the first point to the second, we see a 'run' of 1 and a 'rise' of 5.  Thus, the slope of the line containing these two points is

m = rise/run = 5/1, or m = 5

Answer:

Go to the botom of the page

Step-by-step explanation:

The area of the irregular shape is 84 ft square.

The diagram is a trapezium. A trapezium is a quadrilateral. Therefore, the area of the trapezium can be found as follows:

area of the trapezium = 1 / 2 (a + b)h

where

Therefore,

a = 10 ft

b = 18 ft

c = 6 ft

area of the trapezium = 1 / 2 (10 + 18)6

area of the trapezium = 1 / 2 (28)6

area of the trapezium = 168 / 2

area of the trapezium = 84 ft²

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Answer:

Umm isnt the answer already there?

Step-by-step explanation:

{-4, -3, -2, -1, 0, 1}

To get the next consecutive integer, you have to add 1.

So, starting from -4, you add 1 to get -3.

Next, add one to get -2, and so on.

She can select one freshman and one sophomore in 72 ways.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Phyllis who wants to select one freshman and one sophomore to attend a conference. She teaches 8 freshman and 9 sophomores

Total number of possible combinations are -

C[8,1] x C[9,1]

8!/(7! x 1!) x 9!/(8! x 1!)

8 x 9

72

Therefore, she can select one freshman and one sophomore in 72 ways.

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Answer: 2.7

Step-by-step explanation:

There are 2.7 bacterias initially hence, option A is correct.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

In the graph, we can see that the function is following an exponential curve the initial point in the graph is at ( 0,2.7 ). Then, the initial number of the bacteria is 2.7.

Hence, the hence, option A is correct.

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The mean of the sample means, also known as the expected value of the sample mean, is equal to the population mean.

When all possible outcomes of size n are selected from a population and the mean of each sample is determined, the sample means to represent a sampling distribution. The mean of this sampling distribution denoted as the expected value of the sample means or simply the mean of the sample means, is equal to the population mean.

This result is derived from the concept of sampling. Each sample is a random selection from the population, and on average, these samples will reflect the characteristics of the population. Therefore, the mean of the sample means represents the average value that would be obtained if an infinite number of samples of size n were taken from the population. Since each sample mean is an unbiased estimator of the population mean, the mean of the sample means will be equal to the population mean. This property holds under certain conditions, such as when the sampling is random and independent.

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Answer:

60 sedans

Step-by-step explanation:

The computation of the number of sedans sold in 2000 is given below:

Given that

The ratio of sedans and SUV is 5:4

And, in 2010 its ratio is 2:7

Now in 2010, 84 SUVs sold

So

84 SUVS = 7

For total 9, it would be

= 84 × 9 ÷  7

= 108 vehicles

Now the number of sedans is

= 108 × 5 ÷ 9

= 60 sedans

hope it helps you .

this is the right answer.

For the given standard deviation the minimum value we would assign is 22.the maximum value we would assign is 88.

To calculate the minimum and maximum values based on the given information, we need to consider the standard deviation and the respective interest rates for the 3-year and 10-year periods.

Given:

S = 26.32 (Initial value)

E = 55 (Expected value)

t = 3 (Years)

Standard deviation = 60% (of the expected value)

3-year interest rate = 2.4%

10-year interest rate = 3.1%

To find the minimum value, we will calculate the value at the end of the 3-year period using the lowest possible growth rate.

Minimum value calculation:

Minimum value = E - (Standard deviation * E) = 55 - (0.6 * 55) = 55 - 33 = 22

Therefore, the minimum value we would assign is 22.

To find the maximum value, we will calculate the value at the end of the 10-year period using the highest possible growth rate.

Maximum value calculation:

Maximum value = E + (Standard deviation * E) = 55 + (0.6 * 55) = 55 + 33 = 88

Therefore, the maximum value we would assign is 88.

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The conjugate of 2x² + √3 is as follows:

(2x² - √3).

A pair of entities connected together is referred to as being conjugate. For instance, the two smileys—smiley and sad—are identical save from one set of characteristics that is essentially the complete opposite of the other. These smileys are identical, but you'll see if you look closely that they have the opposite facial expressions: one has a smile, and the other has a frown. Similar to this, the term "conjugate" in mathematics designates either the conjugate of a complex number or the conjugate of a surd when the number only undergoes a sign change with respect to a few constraints.

Here in the question,

The binomial is given as:

2x² + √3

The negative of this or when the operation sign is changed in the binomial, we get the conjugate as:

2x² - √3

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Answer: It is A 1

Hope it helped

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ms Annand spent $33 at the store. She bought 6 new white boards and 3 packs of Expo markers. The white boards cost $2 less than a pack of expo marker.

Our calculation is given below;

How much money did she spend on the white boards? How much money did she spent on the Expo markers?

Probability of stores not violating the standard = 1 - (X / N)

To find the probability that a randomly selected store does not violate the institute's scanner accuracy standard, we need to determine the probability of stores that do not violate the standard out of all the investigated company stores.

Let's assume that the total number of company stores investigated is N, and the number of stores that violated the institute's scanner accuracy standard is X.

First, we need to calculate the probability of stores that violated the standard:

Probability of stores violating the standard = X / N

To find the probability of stores that do not violate the standard, we can subtract the probability of stores violating the standard from 1 (since the sum of the probabilities of both categories should be equal to 1):

Probability of stores not violating the standard = 1 - (X / N)


Therefore, the probability that a randomly selected store does not violate the institute's scanner accuracy standard can be calculated using the given information about the number of stores that violated the standard and the total number of investigated company stores.

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Answer:

x = 3/4 would be the correct answer.

Step-by-step explanation:

Add four to both sides

Divide both sides by -8

Simplify 6/8 to 3/4

The formula for finding the total surface area of ​​the faces of a cylindrical container is 2r(h + r), where r is the radius of the circular base of the cylinder and h is its height.

The cylindrical container has two rounded bottoms and a curved surface. We need to take these two things into account to get the total surface area of ​​the cylindrical container.

The equation for the all-out region of a barrel-shaped compartment is 2r(h + r), where r is the span of the round base and h is the level of the chamber.

The region (2πrh) of a bent surface of a chamber can be gotten by adding the regions (2πr²) of the upper and lower roundabout surfaces. The area of ​​each cylindrical face is taken into account in the resulting formula.

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The question is -

What is the formula for calculating the total surface area of the faces of the cylindrical container?

Answer:

Step-by-step explanation:

72+7x+24=180

7x+96=180

7x=84

x=12

John Barker's repair shop in Ontario is required to calculate the HST payable or refund for the first reporting period. The HST rate is 13% and the amount before HST sales is $150,000. The total HST collected from sales is $19,500 and the total ITCs are $19,790. The net HST payable/refund is $19,500 - $19,790 and the correct option is d) A refund of $5,980.

Given the following information for John Barker's repair shop in Ontario, we are required to calculate the HST payable or refund for the first reporting period. The HST rate for Ontario is 13%.Amount Before HST Sales $150,000 Equipment purchased $96,000 Supplies purchased $83,000 Wages paid $19,000 Rent paid $17,000Let's calculate the total HST collected from sales:

Total HST collected from Sales= HST Rate x Amount before HST Sales

Total HST collected from Sales= 13% x $150,000

Total HST collected from Sales= $19,500

Let's calculate the total ITCs for John Barker's repair shop:Input tax credits (ITCs) are the HST that a business pays on purchases made for the business. ITCs reduce the amount of HST payable. ITCs = (HST paid on eligible business purchases) - (HST paid on non-eligible business purchases)For John Barker's repair shop, all purchases are for business purposes. Hence, the ITCs are the total HST paid on purchases.

Total HST paid on purchases= HST rate x (equipment purchased + supplies purchased)

Total HST paid on purchases= 13% x ($96,000 + $83,000)

Total HST paid on purchases= $19,790

Let's calculate the net HST payable or refund:

Net HST payable/refund = Total HST collected from sales - Total ITCs

Net HST payable/refund = $19,500 - $19,790Net HST payable/refund

= -$290 Since the Net HST payable/refund is negative,

it implies that John Barker's repair shop is eligible for an HST refund. Hence, the correct option is d) A refund of $5,980.

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