there are 12 socks in flora drawer 9 are red and 2 are blue and 1 is green she take out one sock without looking at the color. What is the numerical probability of flora picking out a blue sock?

Answers

Answer 1

The numerical probability of Flora picking out a blue sock is 1 out of 6, or approximately 0.1667, or 16.67%.

To calculate the numerical probability of Flora picking out a blue sock, we need to consider the total number of socks and the number of blue socks in the drawer.

Given:

Total number of socks = 12

Number of red socks = 9

Number of blue socks = 2

Number of green socks = 1

The probability of Flora picking a blue sock can be calculated as the ratio of the number of blue socks to the total number of socks:

Probability of picking a blue sock = Number of blue socks / Total number of socks

Probability of picking a blue sock = 2 / 12

Simplifying the fraction, we get:

Probability of picking a blue sock = 1 / 6

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Related Questions

Complete the table below for the equation y=1+2x

Answers

y= 1,3,5

Hope it help

Refer to Exhibit 6-6. What percentage of tires will have a life of 34,000 to 46,000 miles? a. 38.49% b. 76.98% c. 50% d. None of the alternative answers is correct

Answers

The percentage of tires will have a life of 34,000 to 46,000 miles is the correct answer is d. None of the alternative answers is correct.

The provided percentages do not offer a precise estimate of the proportion of tires with a life of 34,000 to 46,000 miles.

Determining the percentage of tires falling within a specific mileage range requires access to accurate statistical data from tire manufacturers or comprehensive studies. Several factors affect tire lifespan, such as driving habits, road conditions, maintenance, and the type of tire itself.

These variables make it difficult to provide an exact percentage without specific information about the tire population in question. To obtain a more accurate estimate, it would be necessary to analyze relevant data, such as tire industry reports or studies on tire longevity.

Tire manufacturers often provide estimated mileage ratings for their products, but these figures are averages and can vary depending on the factors mentioned above.

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Find the sum of the interior angle measures of the polygon.

Answers

Answer:

360

Step-by-step explanation:

All the angles of a polygon add up to 360, thats kinda just how it is haha

Find the area of the figure.

Answers

Answer:

353.93 ft²

Step-by-step explanation:

Step 1:

Find the area of the Trapezoid.

(a + b) ÷ 2 × height

20 + 17 = 37

37 ÷ 2 = 18.5

18.5 × 13 = 240.5 ft²

Step 2:

Find the Area of the Semicircle:

1/2 × πr²

1/2 × 3.14 = 1.57

1.57 × 8.5² = 113.43 ft²

Step 3:

Add the two areas together:

240.5 + 113.43 = 353.93 ft²

Roads connecting the towns of Oceanside, River City, and Lake View form a triangle. The distance from Oceanside to River City is 38 kilometers. The distance from River City to Lake View is 26 kilometers. What is the smallest possible whole number of kilometers between Lake View and Oceanside?

Answers

Answer:

13 km

Step-by-step explanation:

By Triangle Inequality Theorem: The sum of two smallest sides is greater than the third side.

Small Values of X:

X + 26 > 38

X > 38 - 26

X > 12

If we know that 38 km is the longest side, then the sum of other two sides must be greater than 38 km. Therefore the minimum value of X is 13 km.

PLEASE ANSWERS FAST

how do you find the perimeter of the base?

A. Multiply the side lengths

B. Divide the side lengths

C. Add all sides of the base shape

D. Take the square root after multiplying the side lengths​

Answers

Answer:

C. Add all sides of the base shape

Step-by-step explanation:

perimeter = sum of length of sides of a polygon

Answer: C. Add all sides of the base shape

C. Add all sides of the base shape


2. (1 point each) Let f(x) = √x and g(x) = 1/x. In the space
provided, compute each of the following, if possible:
(a) f(36)
(b) (g+f)(4)
(c) (f · g)(0)

Answers

(a) f(36) is equal to 6.

(b) (g+f)(4) = g(4) + f(4) = 9/4

(c) we cannot compute (f · g)(0).

(a) To find f(36), we substitute x = 36 into the function f(x) = √x:

f(36) = √36 = 6

Therefore, f(36) is equal to 6.

(b) To find (g+f)(4), we need to evaluate g(4) and f(4), and then add the results:

g(4) = 1/4

f(4) = √4 = 2

(g+f)(4) = g(4) + f(4) = 1/4 + 2 = 1/4 + 8/4 = 9/4

Therefore, (g+f)(4) is equal to 9/4 or 2.25.

(c) To find (f · g)(0), we need to evaluate f(0) and g(0), and then multiply the results:

f(0) = √0 = 0

g(0) = 1/0

However, g(0) is undefined because division by zero is not defined in mathematics.

Therefore, we cannot compute (f · g)(0) in this case.

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Find the distance between (5, -1) and (1,-5).

Answers

4 units I assume. that it is a very basic answer tho and I am not sure if a specific formula or lesson was supposed to be applied to that andwer

A "pay-what-you-pull" raffle is an alternative to a standard raffle where a person blindly draws a raffle ticket, say out of bag, and agrees to pay the amount written on the raffle ticket (as opposed to having one fixed price for each raffle ticket). The raffle ticket is then entered into a draw for a prize. Suppose you draw 2 raffle tickets without replacement from a bag with 4 tickets which have prices $1, $2, $3 and $4. How much can you expected to pay for your 2 raffle tickets?

Answers

To find the expected amount you would pay for your two raffle tickets, we need to calculate the expected value of the sum of the prices on the tickets.

Let's denote the prices on the tickets as follows:

Ticket 1: $1

Ticket 2: $2

Ticket 3: $3

Ticket 4: $4

Since you are drawing two tickets without replacement, there are a total of 4C2 = 6 possible combinations of two tickets.

The expected value (E) can be calculated by summing up the products of each combination and its corresponding probability. The probability of each combination is 1/6 since all combinations are equally likely.

The expected amount you would pay for your two raffle tickets is given by:

[tex]\[E = \frac{1}{6}(\$1 + \$2) + \frac{1}{6}(\$1 + \$3) + \frac{1}{6}(\$1 + \$4) + \frac{1}{6}(\$2 + \$3) + \frac{1}{6}(\$2 + \$4) + \frac{1}{6}(\$3 + \$4)\][/tex]

Simplifying the expression, we find:

[tex]\[E = \frac{\$3 + \$4 + \$5 + \$5 + \$6 + \$7}{6} = \$5\][/tex]

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Which solution for z makes the equation true?? 10+10+z=40=10 (pls explain why. Thanks)

Answers

Answer:

z=30

Step-by-step explanation:

40-10=30

10+10+?=30

30-10-10=10

I'm sorry cuz I don't know how to explain it

Answer:

z = 10

Step-by-step explanation:

10 + 10 + z = 40 - 10

10 + 10 + z = 30

10 + 10 + 10 = 30

since 40 - 10 = 30, then Z has to equal 10 because 10 + 10 + z needs to be 30

Find the distance between the points (–10,3) and (–2,3).

Answers

Answer:

8

Step-by-step explanation:

10 - 2

On Saturday, a local hamburger shop sold a combined total of 261 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Saturday?

Answers

Answer:

134 hamburgers

Step-by-step explanation:

Let H = # of hamburgers 

# of cheeseburgers = 2H

H + 2H = 402

3H = 402

H = 402/3

H = 134

please help with right answers xoxo

Answers

y = 3x - 4

y = 3(-1) - 4
y = -3 - 4 = -7
Graph pair is (-1, -7)

y = 3(0) - 4
y = 0 - 4 = -4
Graph pair is (0, -4)

y = 3(2) - 4
y = 6 - 4 = 2
Graph pair is (2, 2)

y = 3(4) - 4
y = 12 - 4 = 8
Graph pair is (4, 8)

If vector v = ( 9 ) find -v and 3v
-6

Answers

-V=-9
3V-6=3x9-6=27-6=21

Please Help, GodBless

Answers

Answer:

-3/2

Step-by-step explanation:

The rate of change is the same as slope

need help plz im struggling ​

Answers

Answer:

12057.6

Step-by-step explanation:

V = πr²h

3.14 x 16² x 15

3.14 x 16² = 803.843.14 x 803.84 = 12057.6

Can someone help me out please.

Answers

Answer:

area = (10 x 19) - (0.5 x 19 x 5) = 142.5 in²

Step-by-step explanation:

Answer:

142.5 in^2

Step-by-step explanation:

Area of trapezoid= a + b  / 2 · h         (a and b are bases of the trapezoid)

A= 5 + 10 / 2 · 19

A= 15 / 2 · 19

A= 7.5 · 19

A= 142.5 in^2

This is just one way to do it. There are many more ways.

Rewrite as an addition equation and determine the answer: -3 - - 8 =

Answers

Answer:

-3 + 8 = 5

Step-by-step explanation:

When we have a "minus a negative", it's a positive. So the - -8 is the same as + 8.

LMK if you have questions.

-3 + -8 = -11

is that a nice one or something

Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?

Answers

Answer:

18 hours

Step-by-step explanation:

9/0.50 = 18 hours

Thomas 24 hours I think it’s that

Find the Errors: A student multiplied the two polynomials below.

(a) Clearly state the two errors that the student made in their multiplication table. (4 points)

(b) State what the correct answer should be. (2 points)

Answers

It’s messed up on the +2x and -8x^2. It should be +2x^2 and +8x^2. The answer should be -4x^3+10x^2-7x+6

can some please help me with this problem?

Answers

Answer:

b

Step-by-step explanation:

its a negative slope, so you can eliminate c and d. even though the scale is 2, the slope always pertains to $1 increase and not $2 increase.

I think the answer to this problem is B.

(z^6/z)^2 QUICK ILL GIVE BRANLIEST

Answers

Answer,  z10

Step-by-step explanation:

help i need the answer

Answers

Yes, because lin’s radius will increase.

Answer:

NO

Step-by-step explanation:

If the diameter of the circle is doubled the area will be increased 4 times

Which of the following is the correct alternative hypothesis constructed in the binomial test? A. H, :P Previous question

Answers

The correct alternative hypothesis constructed in a binomial test is (a) H₁ :P < Q

How to determine the correct alternative hypothesis constructed in a binomial test?

From the question, we have the following parameters that can be used in our computation:

A. H₁ :P < Q

B. H₁: P - Q

C. H₁ : P = Q

D. H₁ : P ≤ Q

As a general rule of test of hypothesis, alternate hypothesis are represented using inequalities

This means that we make use of <, > or ≠

Hence, the correct alternative hypothesis is (a) H₁ :P < Q


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Question

Which of the following is the correct alternative hypothesis constructed in the binomial test?

A. H₁ :P < Q

B. H₁: P - Q

C. H₁ : P = Q

D. H₁ : P ≤ Q

help║...................

Answers

180-(60+54)=66
So the answer is 66*
66 because it is 180-60+54 which is 66

20 POINTS‼️‼️Which of the following does NOT represent the number of months in a year?
A and b are in the attached photo.
C. y= 12x, where x represents the number of years and y represents the number of months
D. There are 96 months in 8 years.
‼️PLEASE DO YOUR BEST TO SHOW WORK FOR BRAINLIEST‼️​​

Answers

Answer:

B because when you multiply the first number by twelve the first two are correct but the second ones are not

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

12 times 6 = 72, not 60

Cody did not understand the concepts of the “special cases” when factoring. Explain the concept of the perfect square binomial. Use an example to help explain to her how it is a special case and how to factor it using the special case rules.

Answers

A binomial expression of the form (a + b)² or (a - b)² is called a perfect square binomial.

This expression can be factored using the special case rules by rewriting it in the form

(a + b)(a + b) or (a - b)(a - b), respectively.

A perfect square binomial is a quadratic trinomial in which the first term is a perfect square and the second term is twice the product of the square root of the first term and the square root of the last term.

In the context of special cases, the perfect square binomial is a binomial that is formed by squaring a binomial.

This is a special case because it has a unique factorization, as we will see later.

An example of a perfect square binomial is (x + 4)².

This is because the first term, x², is a perfect square, and the second term, 8x, is twice the product of the square root of x² and the square root of 4, which is 2.

Hence, (x + 4)² can be factored using the special case rules as:

(x + 4)(x + 4),

which simplifies to

(x + 4)².

A perfect square binomial is a quadratic trinomial in which the first term is a perfect square and the second term is twice the product of the square root of the first term and the square root of the last term.

It is a special case because it has a unique factorization, which is given by the formula:

(a + b)² = a² + 2ab + b²

           or

(a - b)² = a² - 2ab + b².

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Let V be the set of all ordered triples of real numbers with addition and scalar multiplication defined as follows: (x, y, z) + (x'. y' z') = (x + x'.0,2 + z!) and k(x,y,z) (kx,ky, kz) for all real numbers k. Prove that V is not a vector space.

Answers

The set V, defined as the set of all ordered triples of real numbers with the given addition and scalar multiplication operations, is not a vector space. Therefore, we can conclude that V is not a vector space, as it does not fulfill the required vector space axioms.

To prove that V is not a vector space, we need to demonstrate that it fails to satisfy at least one of the vector space axioms.

Let's consider the closure under scalar multiplication axiom. According to the given scalar multiplication operation, k(x, y, z) = (kx, ky, kz) for all real numbers k. However, in a vector space, scalar multiplication should be distributive over both addition of vectors and scalar addition.

Let's choose a specific example to illustrate the issue. Consider the vector (x, y, z) = (1, 1, 1) in V and the scalar k = 2. According to the defined scalar multiplication operation, 2(x, y, z) = 2(1, 1, 1) = (2, 2, 2).

Now, let's compute (1 + 1)(x, y, z) = 2(x, y, z) = 2(1, 1, 1) = (2, 2, 2).

However, in a vector space, the distributive property should hold, meaning that (1 + 1)(x, y, z) should equal (1, 1, 1) + (1, 1, 1) = (2, 2, 2).

Since (1 + 1)(x, y, z) ≠ (1, 1, 1) + (1, 1, 1), V fails to satisfy the closure under scalar multiplication axiom.

Therefore, we can conclude that V is not a vector space, as it does not fulfill the required vector space axioms.

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Test whether there is a difference in the pattern of freshman class ranks (an ordinal scale variable) of the newly-inducted sophomore members across five sororities at Mega University.

Answers

The required answer is by conducting the Kruskal-Wallis test, we can determine if there are statistically significant differences in the pattern of freshman class ranks among the sophomore members across the five sororities at Mega University.

To test whether there is a difference in the pattern of freshman class ranks among the sophomore members across five sororities at Mega University, we can use a statistical test called the Kruskal-Wallis test. The Kruskal-Wallis test is a non-parametric test used to compare the distributions of three or more independent groups.

In this case, the five sororities represent the independent groups, and the freshman class ranks of the sophomore members within each sorority are the ordinal scale variable of interest. The Kruskal-Wallis test will assess whether there are statistically significant differences in the distribution of freshman class ranks across the five sororities.

Here is a step-by-step explanation of how to conduct the Kruskal-Wallis test:

Step 1: Formulate the null and alternative hypotheses.

Null hypothesis (H₀): There is no difference in the pattern of freshman class ranks across the five sororities.

Alternative hypothesis (H₁): There is a difference in the pattern of freshman class ranks across the five sororities.

Step 2: Collect the data.

Gather the freshman class ranks of the sophomore members for each sorority. Ensure that the data is properly coded and organized.

Step 3: Perform the Kruskal-Wallis test.

Apply the Kruskal-Wallis test to the data. The test will compare the distributions of the ordinal data across the five sororities and determine if there are significant differences.

Step 4: Interpret the results.

Analyze the output of the Kruskal-Wallis test, which typically provides a test statistic and a p-value. If the p-value is below a predetermined significance level (e.g., 0.05), we reject the null hypothesis and conclude that there is evidence of a difference in the pattern of freshman class ranks across the five sororities.

Step 5: Post-hoc analysis (if necessary).

If the Kruskal-Wallis test indicates significant differences, further analyses, such as pairwise comparisons or Dunn's test, can be conducted to identify which specific sororities differ from each other.

By conducting the Kruskal-Wallis test, we can determine if there are statistically significant differences in the pattern of freshman class ranks among the sophomore members across the five sororities at Mega University.

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To estimate the average service time at a hamburger fast-food restaurant, a management

consultant noted the times that it took for 35 counter persons, a random sample, to complete a

standard order. It took, on average, 72.2 seconds with a standard deviation of 12.8 seconds to

complete the orders.

a)

What can the consultant assert with 95% confidence about the maximum error, if he uses

X bar = 72.2 seconds as an estimate of the true average time to complete a standard order?

b)

Construct a 95 percent confidence interval for the true average time that it takes a counter

person to complete the standard order/

Answers

The consultant can assert with 95% confidence that the true average time to complete a standard order is within 4.23 seconds of the sample average time of 72.2 seconds.

With 95% confidence, the true average time it takes for a counter person to complete the standard order is between 68.0 and 76.4 seconds.

How to solve the problems

The standard error of the mean is given by the formula:

SE = s / sqrt(n)

where s is the sample standard deviation and n is the sample size.

In this case, the standard error is:

SE = 12.8 / sqrt(35) = 2.16 seconds (approximately)

The Z-value that corresponds to a 95% confidence level is approximately 1.96 (this value can be looked up in a standard Z-table).

Therefore, the maximum error E can be calculated as:

E = Z * SE = 1.96 * 2.16 = 4.23 seconds (approximately)

This means that the consultant can assert with 95% confidence that the true average time to complete a standard order is within 4.23 seconds of the sample average time of 72.2 seconds.

b) To construct a 95% confidence interval for the true average time, the consultant can use the formula:

CI = x ± E

where x is the sample mean and E is the maximum error.

Substituting the given values:

CI = 72.2 ± 4.23 = (68.0, 76.4)

So, with 95% confidence, the true average time it takes for a counter person to complete the standard order is between 68.0 and 76.4 seconds.

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