Suppose you have a bag containing two red marbles, two blue marbles, and two white marbles. You choose two marbles without looking. *What is the probability that you will choose a red marble and then a blue marble without replacing the red one

Answer:

(C) is correct.

Step-by-step explanation:

-12.8308

- as you can see this is a terminating decimal, with last digit = 8.

Answer:

2?

Step-by-step explanation:

a and b are both terms

For #8, two lines in the same plan that never intersect and are equidistant at all points are parallel lines.

The 90% confidence interval for the population mean is (29.411, 41.409).

To find the 90% confidence interval for the population mean, we can use the formula:

Confidence interval = sample mean ± (critical value * standard deviation / square root of sample size)

Given that the sample mean is 35.41, the standard deviation is 20 months, and the sample size is 30, we need to determine the critical value for a 90% confidence level.

For a 90% confidence level, we need to find the critical value associated with a two-tailed test. The area in each tail is (1 - 0.90) / 2 = 0.05.

To find the critical value, we can use a table or calculator. Using a standard normal distribution table, we find that the critical value is approximately 1.645.

Now, we can substitute the values into the formula:

Confidence interval = 35.41 ± (1.645 * 20 / √30)

Calculating this, we get:

Confidence interval = 35.41 ± (1.645 * 20 / √30)
                   = 35.41 ± (1.645 * 3.651)
                   = 35.41 ± 5.999
                   = (29.411, 41.409)

Therefore, the 90% confidence interval for the population mean is (29.411, 41.409). This means that we are 90% confident that the true population mean falls within this interval.

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Answer:

ijrrrrrrrrrrrrg to 19399

Step-by-step explanation:

Answer:

Its a because volume is equal to length times width time height and that answ choice is the only one that provides this correct statement

For large samples (at least 30 observations), the sampling distribution of the sample mean, X¯, has a population mean (μX¯) equal to the population mean (μ).

This property is known as the central limit theorem. According to the central limit theorem, when the sample size is sufficiently large, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution. The mean of the sampling distribution of the sample mean will be equal to the population mean.

The formula mentioned in the answer options, σ/√n, represents the standard deviation of the sampling distribution of the sample mean. It is worth noting that the standard deviation of the sampling distribution (σ/√n) decreases as the sample size (n) increases. This means that larger sample sizes tend to result in sample means that are closer to the population mean, indicating greater precision in estimating the population mean.

For large samples (at least 30 observations), the sampling distribution of the sample mean, X¯, has a population mean (μX¯) equal to the population mean (μ). This property is a result of the central limit theorem, which states that the sampling distribution of the sample mean becomes approximately normal with a mean equal to the population mean when the sample size is sufficiently large. The standard deviation of the sampling distribution is given by σ/√n, which decreases as the sample size increases, leading to more accurate estimates of the population mean.

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The rainfall when distributed among the 12 months equally, each month have the rainfall of 11/12 inches in fraction.

The following describes the relationship between such four parts:

Dividend = Divisor x Quotient + Remainder

For the given question;

The total amount of rain occurred in 12 month unequally is (11 inches).

The total number of months are 12.

To get the average rainfall per month simply divide the total rainfall with 12 months.

Average rainfall per month = 11 inches / 12 month

Thus, the average rainfall per month is found as 11/12 inches.

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Answer: 5

Step-by-step explanation:

12/6+12+3/5

2+12+3/5

2+15/5

2+3

5

Answer:

74.22

Step-by-step explanation:

52.39+21.83=74.22

Answer:

38

Step-by-step explanation:

all you have to do is add 22 and 16

Answer:c

Step-by-step explanation:

in a class of 12 boys and 9 girls, the teacher selects three students at random to write problems on the board then the probability that all the students selected are boys is 0.165

given that a class consists of 12 boys and 9 girls. The teacher picks three students to present their work to the rest of the class  and says that the three students are being selected at random

Here selecting any 3 students from the group of total 21 students is combination because order does not matter.

Total no of ways of selecting any 3 from total 21 = 21C3 = 1330

No of ways of selecting only 3 boys = No of ways of selecting random 3 boys from total 12 boys

= 12C3 =220

the probability be that all three students

selected are boys=220/1330 = 0.165

Hence , the probability that all the students selected are boys is 0.165

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This means that we are 99% confident that the population standard deviation is between 0.09 and 0.33 seconds.

The degree of variation of the data from the mean is referred to as "standard deviation" (or ""). When the standard deviation is low, the data tend to cluster around the mean; when it is large, the data are more spread.

To construct a 99% confidence interval for the population standard deviation, we can use the formula:

sample standard deviation / √n * t-value for 99% confidence interval

Where n is the sample size and t-value for 99% confidence interval can be found using a t-distribution table.

For a sample size of 8, the t-value for a 99% confidence interval is 3.355.

Plugging these values into the formula, we get:

0.12 / √8 * 3.355 = 0.06 * 3.355 = 0.21

So the 99% confidence interval for the population standard deviation is [0.12 - 0.21, 0.12 + 0.21] = [0.09, 0.33]

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This means that we are 99% confident that the population standard deviation is between 0.09 and 0.33 seconds at normal distribution.

The degree of variation of the data from the mean is referred to as "standard deviation" (or ""). When the standard deviation is low, the data tend to cluster around the mean; when it is large, the data are more spread.

To construct a 99% confidence interval for the population standard deviation, we can use the formula:

sample standard deviation / √n * t-value for 99% confidence interval

Where n is the sample size and t-value for 99% confidence interval can be found using a t-distribution table.

For a sample size of 8, the t-value for a 99% confidence interval is 3.355.

Plugging these values into the formula, we get:

0.12 / √8 * 3.355 = 0.06 * 3.355 = 0.21

So the 99% confidence interval for the population standard deviation is [0.12 - 0.21, 0.12 + 0.21] = [0.09, 0.33]

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Therefore , the solution of  the given problem of percentage comes out to be percentage of b is 4301%.

In mathematics, a percentage is a number of ratio that is stated as a portion of 100. Also occasionally used are the abbreviations "pct.," "pct," with "pc." To denote it, though, the percent symbol "%" is frequently employed. The % amount has no dimensions. Because percentages contain a numerator of 100, they are effectively fractions. A number should be followed by the % sign (%) to show that it represents a percentage. For instance, someone would receive a 75% grade if you properly solved 75 out of 100 questions on a test. To determine percentages, divide the amount of money by the total, and then multiply the result by 100. The percentage is calculated by multiplying the ratio (value/total) by 100%.

Here,

a =2001/100 * (b+c)

and

b= 87/100*c

thus putting value of b in a

=>a = 2001/100*(87/100*c + c)

=> a= 2001/100 * 187/87 * b

=>a/b = 374187 / 8700 * 100 = 4301%

and

Now percentage of b is 4301%.

Therefore , the solution of  the given problem of percentage comes out to be percentage of b is 4301%.

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Answer:

1.) The answer is b = 6

2.) The answer is t = 10

Step-by-step explanation:

For the first equation in order to fin out the answer we do.....

b + 8 = 14

b + 8 - 8 = 14 - 8

b = 6

For the second question we do....

25 - t = 15

25 - t + t = 15 + t

25 = 15 + t

25 - 15 = 15 + t -15

10 = t

Answer:

3/5 (Already there but I wanted to put an explanation)

Step-by-step explanation:

first you want to change the 1/2 to work better with the 1/10. The way you can do is change the 1/2 to be 5/10 by multiplying both sides of the fraction by 5 so that it is out of 10 rather than out of 2. you then add 5/10 to 1/10 to get x=6/10. since 6/10 can be simplified by 2, you divide both sides of the fraction by 2 to get 3/5=x

Answer:

170 miles

Step-by-step explanation:

Use 80 miles and 150 miles as the legs of a right triangle, and find the length of the hypotenuse using the Pythagorean theorem.

a² + b² = c²

80² + 150² = c²

6400 + 22500 = c²

c = √28900

x = 170

Answer: 170 miles

The charge enclosed by the cylinder is simply equal to the total charge Q on the surface of the cylinder.

If the charge is only on one surface of the cylinder, then we can assume that the charge is uniformly distributed on that surface. Let's denote the surface charge density by σ.

The charge enclosed by the cylinder is given by qenc = σA, where A is the cross-sectional area of the cylinder.

We are not given the surface charge density σ, but we can relate it to the total charge Q on the surface of the cylinder as follows:

Q = σA

We can solve for σ to get:

σ = Q/A

Substituting this expression for σ into our equation for qenc, we get:

qenc = σA = (Q/A)A = Q

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a) The chance of drawing no court cards (J, Q, K, A) in a hand of 13 cards randomly drawn from a pack of 52 is approximately 0.294. b) The chance of drawing at least one ace but no other court cards in a hand of 13 cards is approximately 0.089. c) The chance of drawing at most one kind of court card (J, Q, K, A) in a hand of 13 cards is approximately 0.633.

a) To find the chance of drawing no court cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. In this case, there are 36 non-court cards (52 cards - 16 court cards), and we want to draw 13 cards without any court cards. The probability can be calculated using the formula:

Probability = (number of favorable outcomes) / (total number of possible outcomes)

The number of favorable outcomes is the number of ways to choose 13 cards from the 36 non-court cards, which can be calculated using combinations. Thus, the probability is:

Probability = C(36, 13) / C(52, 13) ≈ 0.2936

b) To find the chance of drawing at least one ace but no other court cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. There are 4 aces in the deck, and we want to draw at least one of them along with 12 non-court cards (36 non-court cards - 4 aces).

The probability can be calculated using the formula:

Probability = (number of favorable outcomes) / (total number of possible outcomes)

For drawing two aces, there are C(4, 2) ways to choose two aces and C(36, 11) ways to choose the remaining non-court cards.

Thus, the probability is:

Probability = [C(4, 1) * C(36, 12) + C(4, 2) * C(36, 11)] / C(52, 13) ≈ 0.0892

c) To find the chance of drawing at most one kind of court card, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. There are 4 court cards of each kind (J, Q, K, A), and we want to draw at most one kind of court card.

The probability can be calculated using the formula:

Probability = (number of favorable outcomes) / (total number of possible outcomes)

The number of favorable outcomes is the sum of three cases: drawing no court cards, drawing only one kind of court card, and drawing one court card of each kind. We have already calculated the probability of drawing no court cards in part (a).

Thus, the probability is:

Probability = [C(36, 13) + 4 * C(36, 13) + 4 * C(36, 12)] / C

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To find the chances in a hand of 13 cards drawn randomly from a pack of 52, we can use probability. The chance of no court cards can be calculated using combinations. The probability of at least one ace but no other court cards can be found by subtracting the probability of no aces from the probability of no court cards. The probability of at most one kind of court card can be calculated by finding the probability of having zero court cards and one court card.

To find the chances in a hand of 13 cards drawn randomly from a pack of 52, we can use probability.

There are 12 court cards (J, Q, K, A) in a deck of 52 cards. So, to have no court cards in a hand, we need to select all 13 cards from the remaining 40 non-court cards. The probability can be calculated as 40C13/52C13.

To find this probability, we need to subtract the probability of having no aces from the probability of having no court cards. The probability of having no aces is 48C13/52C13, and the probability of having no court cards is 40C13/52C13. The result is the difference between these two probabilities.

To find the probability of having at most one kind of court card, we can calculate the probability of having zero court cards or one court card. The probability of having zero court cards can be calculated as 40C13/52C13, and the probability of having one court card can be calculated as 12C1 * 40C12/52C13. The sum of these two probabilities gives the probability of having at most one kind of court card.

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Answer:

using pythagoras theorem

hyp 2=opp 2+adj 2

=( √6)(√6)+(√7)(√7)

hyp 2=13

hyp=√13

Given:

A right angle triangle with legs \(\sqrt{6}\) cm and \(\sqrt{7}\) cm. The length of the hypotenuse is x.

To find:

The value of x.

Solution:

Pythagoras theorem: In a right angle triangle,

\(Hypotenuse^2=Base^2+Perpendicular^2\)

Using the Pythagoras theorem, we get

\(x^2=(\sqrt{7})^2+(\sqrt{6})^2\)

\(x^2=7+6\)

\(x^2=13\)

Taking square root on both sides, we get

\(x=\sqrt{13}\)                  [Because side length is always positive]

The measure of hypotenuse is \(\sqrt{13}\) cm.

Therefore, the correct option is B.

Answer:

what are the items

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

the line that is being refected over is x=2

Answer:

Angle y is also 40 degrees. Angle x and y are vertical angles, thus they have the same angle measure.

Answer:

50

Step-by-step explanation:

its simple just the degrees is equal orr close to that

Sammy's Bulk Store offers better buy.

The graph is for C = 0.4n.

A unit rate is defined as the rate for one of something. For example, if 10 oranges cost $50, the unit rate will be $50/10 = $5 i.e.  $5 for one orange.

PART 1

In order to determine which store offers the better buy for bottled water, we need to calculated the unit rate for each store. That is:

Unit rate = price / number of items

In Value Market, $2.99 for 24 bottles:

Unit rate  = $2.99/24 = $0.12

Sammy's Bulk Store, $3.96 for 36 bottles:

Unit rate  = $3.96/36 = $0.11

Thus, Sammy's Bulk Store offers better buy

PART 2

For  Hot dogs:

In Value Market, $3.19 for a pack of 8:

Unit rate  = $3.19/8 = $0.4

C = 0.4n

Sammy's Bulk Store, $54.40 for a pack at 12:

Unit rate = $4.49/12 = $0.37

C = 0.37n

From the graph, we have point C = 4 and n = 10. Thus:

unit rate = C/n = 4/10 = 0.4

Thus, the graph is for C = 0.4n

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Answer:

(a): 190

(b): 750

Please see below for the steps.

Step-by-step explanation:

(a):

Use points (0,1000) and (3.1, 1589)

Use slope formula. The slope formula is also used to find average rate of change (just so you know).

y2-y1/x2-x1

1589-1000/3.1-0=589/3.1=190

Answer for (a) is 190

(b):

Use points (12.4, 4100) and (15.5, 6425)

Use slope formula.

y2-y1/x2-x1

6425-4100/15.5-12.4=2325/3.1=750

The answer for (b) is 750

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Have a great day!

Answer:

Se necesitan 20 toneladas de acero A, mientras que se necesitan 50 toneladas de acero B

Step-by-step explanation:

Deje que la cantidad de acero A sea xy la cantidad de acero B sea y.

Queremos obtener 70 toneladas del nuevo metal, por lo tanto;

x + y = 70 •••••••••• (i)

Ahora, nuestro porcentaje final es del 30%

Esto significa que; x (5%) + y (40%) = 70 (30%)

Esto significa; 0.05x + 0.4y = 21 •••••••• (ii)

Entonces resolvemos ambas ecuaciones simultáneamente.

De i, x = 70-y

Sustituir esto en la ecuación ii

0.05 (70 años) + 0.4y = 21

3.5-0.05y + 0.4y = 21

0.35y = 21-3.5

0.35y = 17.5

y = 17.5 / 0.35 = 50 toneladas

Recordar; x = 70-y

x = 70-50 = 20 toneladas.

There are 775200 possible committees with three women and three men from a club with 20 women and 17 men.

The number of ways to choose 3 women out of 20 is given by the combination formula:

C(20,3) = 20! / (3! * (20-3)!) = \(\frac{201918}{ (321)}\) = 1140

Similarly, the number of ways to choose three men from 17 men is:

C(17,3) = 17! / (3! * (17-3)!) = \(\frac{171615}{321}\) = 680

Therefore, the total number of possible committees with three women and three men is:

1140 * 680 = 775200

The combination formula, also known as the binomial coefficient formula, is a mathematical formula used to calculate the number of ways that k objects can be chosen from a set of n objects without regard to the order in which they are chosen. It is denoted by the symbol "n choose k" and is represented mathematically as "n choose k = n! / (k! * (n-k)!)".

The combination formula is commonly used in probability theory and statistics to calculate the number of ways that a certain outcome can occur. For example, if there are 10 people in a room and you want to choose 3 of them to form a committee, the combination formula can be used to calculate the number of possible committees that can be formed.

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