there are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light what is the least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color

Answers

Answer 1

Answer:

3/5

Step-by-step explanation:

To have the best chance of pulling a pair with the same color you should try to get a pair of black socks. There is a 3/5 chance of pulling a black sock so this means for every 5 socks you pull you get 3 black socks or 2 navy socks. Either way you will get a pair of socks with the same color. (Double check to make sure I'm correct)

Answer 2

The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black and this can be determined by using the given data.

Given :

There are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light.

The following steps can be used in order to determine the least number of socks that you have to take out of the drawer:

Step 1 - According to the given data, the total number of black socks is 18 and the total number of Navy socks is 12.

Step 2 - The probability that the socks come out is black socks is given below:

\(\rm P_b = \dfrac{18}{12+18}\)

\(\rm P_b = \dfrac{18}{30}=\dfrac{3}{5}\)

Step 3 - The probability that the socks come out is navy socks is given below:

\(\rm P_n = \dfrac{12}{12+18}\)

\(\rm P_n=\dfrac{12}{30}=\dfrac{2}{5}\)

Step 4 - Compare both the probability.

\(\rm P_b>P_n\)

So, the least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.

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Related Questions

RACE A city hosts a race annually. They decide to place a
camera halfway between the start and finish lines. If A
represents the starting line and Z represents the finish line,
find the coordinate of the midpoint.

Answers

Answer:

M

Step-by-step explanation:

M is in the middle of the alphabet, so it would be the midpoint of A-Z if they were placed on a coordinate plane.

Which is a graph of g(c) = (0.5)x+3^ -4

Which is a graph of g(c) = (0.5)x+3^ -4

Answers

Answer:

I've attached a graph with this, that's your answer

Which is a graph of g(c) = (0.5)x+3^ -4

MATH

Systems of Linear Equations

1. Determine if each system of equations below is linear or nonlinear.

A. -9x+8y = 9x 7y+8=8x

Linear or nonlinear?

D. 6y+x=12 y-x=1-x

B.

2.3y+1.2x = 0

1.1x+0.1y 1.2

C.

2 7-3y=- 2x+9= 3y

Linear or nonlinear?

Linear or nonlinear?

E. 45x + y = 12 y+x² = 1-x²

Linear or nonlinear?

G

0.2x+9.1y9.1√x

7x+1=8√y

Linear or nonlinear?

F. x+8y = 81 x-7y = 32

Linear or nonlinear?

H.

98317y= 1010 + 2965x

-71389y=5692x - 1001

3 xx y-5= 1 zy+3x=-21

Linear or nonlinear?

Linear or nonlinear?

Linear or nonlinear?
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.

A.

B.

Solution:

Solution:

C.

D.

Solution:

Solution:
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.

A.

B.

Solution:

Solution:

C.

D.

Solution:

Solution:

MATHSystems of Linear Equations1. Determine if each system of equations below is linear or nonlinear.A.
MATHSystems of Linear Equations1. Determine if each system of equations below is linear or nonlinear.A.

Answers

The system of equations -9x+8y = 9x and 7y+8=8x is linear.

A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.

In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).

Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).

Therefore, the system of equations is linear.

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fran and 8 friends must share 3 liter of water. how get?​

Answers

each friend would get about 12.7 ounces of water.
the answer would be that each friend would 12.7 ounces

Consider the equation y = 12 – 3x.

Which of the following is a graph of this equation?

Consider the equation y = 12 3x.Which of the following is a graph of this equation?
Consider the equation y = 12 3x.Which of the following is a graph of this equation?

Answers

Answer:

second graph

Step-by-step explanation:

looking at the y intercept. 12 is y int

Answer:

Second line

Step-by-step explanation:

our equation rearranged is y=-3x+12

meaning that y-intercept is 12, that is where the line cuts the y axis

we find that the second line cuts the y axis around that 12 therefore it is the most relevant line here

Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?

A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by.

Select all that apply.
You know the difference in the distances the boys ran, so this is a subtraction problem.
You are finding the total distance the boys ran, so this is an addition problem.
Dean ran part of the distance Sam ran, so this is a multiplication problem.
The correct equation is s + 2.3 = 6.8.
The correct equation is s – 2.3 = 6.8.
The correct equation is 2.3s = 6.8.

Answers

Answer:

A,E

Step-by-step explanation:

Operation: Minus

To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.

6.8 km - 2.3 km = 4.5 km

Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.

Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?A 2-column table with

Answer:

a and e

Step-by-step explanation:

got it right on homework

EXTREMELY URGENT Which function, g or h, is the inverse function for function ƒ?
the function h because the graphs of ƒ and h are symmetrical about the line y = x
the function g because the graphs of ƒ and g are symmetrical about the line y = x
the function h because the graphs of ƒ and h are symmetrical about the x-axis
the function g because the graphs of ƒ and g are symmetrical about the x-axis

EXTREMELY URGENT Which function, g or h, is the inverse function for function ? the function h because

Answers

Answer:

The answer is The function g because the graphs of ƒ and g are symmetrical about the line y = x

Step-by-step explanation:

A function and its inverse function become symmetrical across the line y = x.  

Write an expression for the sequence of operations described below.

Subtract the quotient of 3 from h

Do not simplify any part of the expression.

Answers

Answer:

h - (3/h)

Step-by-step explanation:

The expression for the sequence of operations described is h - (3/h).

To evaluate this expression, we would first need to divide 3 by h to find the quotient, and then subtract that quotient from h. This would give us the final result of the sequence of operations.

For example, if h = 10, we would first divide 3 by 10 to get 0.3. We would then subtract 0.3 from 10 to get 9.7. This would be the final result of the sequence of operations.

In general, the expression h - (3/h) can be used to represent any sequence of operations that involves subtracting the quotient of 3 from h. The value of h can be any number, and the final result of the sequence of operations will depend on the specific value of h that is used.

What
is an arithmetic sequence with a common difference of −2?

Answers

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

You have 3 1/4 cups of frozen strawberries and 4 1/3 cups of frozen blueberries. One smoothie requires 1/2 cup of frozen berries. How many smoothies can you make?

Answers

(91/12) ÷ (1/2) = (91/12) x (2/1) = 182/12 = 15 1/6

Victoria wants to purchase a skateboard. She finds it regularly sells for $139.99 and is on sale for 15% off.
What is the final cost of the skateboard?
Write your answer in steps: (Explain how you solved it)

Answers

Answer:

118.99

Step-by-step explanation: 15% off so you're only gonna pay 85% of  139.99. so 139.99 times 85% is 118.99

Rob and Ashley are riding their bicycles uphill. Currently, Rob is 5.7 km from the top and climbing at 0.24 km/min. Ashley is 4.5 km from the top and riding at 0.17 km/min. Estimate when Rob will be closer to the top than Ashley​

Answers

After approximately 17.14 minutes, Rob will be closer to the top than Ashley.

How to solve the problem

Rob's distance from the top = 5.7 - 0.24t

Ashley's distance from the top = 4.5 - 0.17t

We want to find the time t when Rob's distance from the top is less than Ashley's distance:

5.7 - 0.24t < 4.5 - 0.17t

Now, we'll isolate the t variable by adding 0.17t to both sides and subtracting 4.5 from both sides:

0.07t > 1.2

t > 1.2 / 0.07

t > 17.14

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water and food are products of?

Answers

Nurturance pretty sure

PLEEEEEASE HEEEEEELPPPP

PLEEEEEASE HEEEEEELPPPP

Answers

Answer:

x≤20

Step-by-step explanation:

x+5≤25

 -5.  -5

x≤20

Hopes this helps please mark brainliest

Answer:

The answer is B

Step-by-step explanation:

20+5=25 and x can be greater than or equal to 25

When Tyee runs the 400 meter dash, his finishing times are normally distributed with a mean of 61 seconds and a standard deviation of 1.5 seconds. If Tyee were to run 39 practice trials of the 400 meter dash, how many of those trials would be faster than 62 seconds, to the nearest whole number?

Answers

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

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The number 3.14 is a rounded value of the mathematical quantity pie. If you replace 3.14 with pie, what is the exact formula for the circumference in terms of the diameter, d, and in terms of the radius r

Answers

Answer:

2pier is the formula for circumference

Step-by-step explanation:

Nancy started the year with $425 in the bank and is saving $25 each week. Sam started the year with $705 but is spending $15 a week. When will Nancy and Sam have the same amount of money? How much money will they each have? Write a system of equations that model the following situation. Define each variables with a “Let” statement, write two equations, and solve completely.

Answers

Answer:

The system of equations:

Nancy:   Y=$425+$25x

Sam :   Y=$705-$15x

Given:

Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Amount in Sam's bank = $705

Amount spent by Sam each week = $15

To find:

Y=$425+$25xx

Y=$425+$25x

The system of equations describing the given models.

Solution

1) Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Let the number of weeks Nancy saving her money be 'x'.

Let the total amount of money in Nancy's bank after x weeks be 'y'.

The equation for Nancy: Y=$425+$25x

Answer for NancyY=$425+$25x

2) Amount in Sam's bank = $705

Amount spend by Sam each week = $15

Let the number of weeks Sam spending his money be 'x'

Let the total amount of money left in Sam's bank after x weeks ='y'

The equation for Sam:

Y=$705-$15 x x

Answer for Sam: Y=$705-$15x

Step-by-step explanation:

The height of a tower is 55 ft and the height of a building is 25 ft.
If the angle of elevation from the top of the building to the top of the tower is 30.9°, what is the distance between the two, to the nearest foot?

_________ feet

Answers

The distance between the two towers and the building is 50 ft.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that The height of a tower is 55 ft and the height of a building is 25 ft. If the angle of elevation from the top of the building to the top of the tower is 30.9°.

The distance will be calculated as,

Distance = 30 / tan(30.9)

Distance = 50 ft

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Pablo shares 525 cupcakes in the ratio of 3:4 between his
bakery and a supermarket
How many cupcakes does the supermarket get?​

Answers

225 goes to his bakery
300 goes to the supermarket

find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.

Answers

Answer:

y = -2/3 x - 13/3

Step-by-step explanation:

y = -2/3 x + 3/2

y = mx + b

m = -2/3

The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.

m = -2/3

y = mx + b

y = -2/3 x + b

Substitute the given point for x and y and solve for b.

-7 = -2/3 (4) + b

-21/3 = -8/3 + b

b = -13/3

Answer: y = -2/3 x - 13/3

What is the cosine equation of the function shown?

f(x)= [ }cos(x )

What is the cosine equation of the function shown?f(x)= [ }cos(x )

Answers

The cosine equation of the function shown is f(x) = 4cos(x) + 3

How to determine the cosine function

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

The graph

From the graph, we can see that the function is shifted up

Next, we enter the points in a graphing calculator to determine the function

From the graph, we have

f(x) = 4cos(x) + 3

Hence, the equation is f(x) = 4cos(x) + 3

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A wave is traveling with a speed of 330 m/sec and has a frequency of 110 Hz. Determine its wavelength (λ).

λ= speed/frequency

frequency=speed/ λ

speed= λfrequency

Group of answer choices

3 km

11 m

11 km

3 m

Answers

Answer:

11

Step-by-step explanation:

11

Help plz answer this quickly!!!!!!!!!!!!

Help plz answer this quickly!!!!!!!!!!!!

Answers

Answer:

4.7x

Step-by-step explanation:

235x20=4,700

4.7

The diagram shows a parallelogram. 4 cm 7 cm 100° Work out the area of the parallelogram. Give your answer to 2 significant figures.

The diagram shows a parallelogram. 4 cm 7 cm 100 Work out the area of the parallelogram. Give your answer

Answers

Area of parallelogram to 2 significant figure is,

= 28 cm²

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Parallelogram with 2 given sides, 4cm and 7cm respectively, and angle between them = 100°

Required:

Area of the parallelogram to 2 significant figure.

Since,

Area of the parallelogram = ab sin(θ)

Here, a = 4cm

b = 7 cm

θ = 100°

Hence, We get;

Area of parallelogram = 4 x 7 x sin(100)

Area = 28 x 0.9848

Area = 27.57

Thus, Area of parallelogram to 2 significant figure is,

= 28 cm²

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If you spend 2.5 hours a week studying for English and 6.5 hours studying for math what is the ratio of time spent studying in math to studying for English?

Answers

Answer:

6.5:2.5 or 6.5/2.5 or 6.5 to 2.5

Step-by-step explanation:

A ratio is two numbers put together by a colon, slash (fraction), or "to"

This particular questions asks for math to English, so put in the Math ratio first then English.

The ratio of time spent studying in math to studying for English is 13:5 if you spend 2.5 hours a week studying for English and 6.5 hours studying for math.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that:

If you spend 2.5 hours a week studying for English and 6.5 hours studying for math.

The ratio of time spent studying in math to studying for English:

= 6.5:2.5

Or

= 6.5/2.5

After simplification:

= 13/5

Or

13:5

Thus, the ratio of time spent studying in math to studying for English is 13:5 if you spend 2.5 hours a week studying for English and 6.5 hours studying for math.

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Cierto turista contrata un paquete de viaje internacional a un costo
de 720 dólares, pero también recibe la información, que si desea
tours extras a los que contiene su paquete de viaje le costará 35
dólares por cada tour adicional. Determinar ¿Cuál es la función de
inversión del turista?

Answers

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

According the question,

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

Where x represents the quantity of additional tours that the tourist wants to add to their travel package.

The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.

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I think it’s 40%, am I correct?

I think its 40%, am I correct?

Answers

I think its 33%

my thought process is
There are 100 ticks (20 spaces with 5 marks)

the area it wants has 6 large spaces (6*5=30) and 3 marks
30+3 is 33

suppose that dr. sameer surveys a random sample of 100 cal poly students, and for this sample the mean number of hours per day spent watching tv turns out to be 3.0 hours.

Answers

The number 3.01 is a statistic, the symbol for the number 3.01 is μ_hat; and To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours).

The number 3.01 is a statistic.

The symbol for the mean number of hours per day spent watching TV for the sample of 100 Cal Poly students is μ_hat.

To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours). The null hypothesis is that the population mean (μ) is equal to 2.75 hours, and the alternative hypothesis is that the population mean is not equal to 2.75 hours.

Steps to find p-value:

1. Calculate the difference between the observed mean and the hypothesized mean: d = μ_hat - 2.75 hours

2. Generate a large number of random samples with the same sample size as the original sample, and calculate the mean of each sample.

3. Calculate the difference between the mean of each sample and the hypothesized mean and store the values in a list.

4. Count the number of differences that are equal to or greater than the difference between the observed mean and the hypothesized mean (d).

5. Divide the count by the total number of simulations to get the p-value. This gives us the probability of getting a sample mean equal to or greater than the observed mean if the null hypothesis is true.

6. Compare the p-value with the significance level (α) to determine whether to reject or fail to reject the null hypothesis. If the p-value is less than α, we reject the null hypothesis and conclude that the data provide evidence that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

If the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

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--The given question is incomplete; the complete question is

"Reconsider Dr Sameer's research question about how much time Cal Poly students spend watching television. Suppose that Dr Sameer surveys a random sample of 100 Cal Poly students, and for this sample, the mean number of hours per day spent watching TV turns out to be 3.01 hours.

1. Is the number 3.01 a parameter or a statistic?

2. Assign an appropriate symbol to the number 3.01.

3. Describe how you can conduct a simulation‐based test of significance to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours. Be sure to provide details on how one would find a p‐value."--

Jayda is older than her 12-year-old sister. Write an inequality for j, Jayda's age.

Answers

The inequality states that Jayda's age (j) is greater than 12 i.e., j > 12.

Let j represent Jayda's age.

Since Jayda is older than her 12-year-old sister, we can write the inequality:

j > 12

Thus, the inequality states that Jayda's age (j) is greater than 12.

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John, Musa and Mable shared 180,000 in the ratio of 2:3:4 respectively How much money did each get?​

Answers

Answer:

2:3:4=40,000:60,000:80,000

Step-by-step explanation:

plus 2+3+4

thats 9

divide 9 by total amount which is what ratio 1 got =20,000

so now you multiple each ratio with 20,000 to get the ratio.

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