You are wearing a pair of cargo pants with six pockets. You've put $10 in one of the pockets, but you cannot remember which one. After checking two pockets without success, what is the probability that the money will be in the next pocket you check? NextReset

Answers

Answer 1

The probability of success on the next one is 1/4 or 25%

The total number of ways left over is 4 for your next try
The number of pockets that will be successful is 1

Since there are 6 pockets all together. And you checked two of them and neither of them had the $10. so you cannot forget those 2 when figuring this out, and now there are 4 pockets left unchecked

Answer 2

The probability that the money will be in next pocket is 0.25.

We have a pair of cargo pants with six pockets and $10 in one of the pockets.

We have to find out the probability that the money will be in the next pocket you check after checking two pockets without success.

What is the formula to calculate the probability of an event ?

The formula to calculate the probability of an event is -

[tex]P(A) = \frac{Total\;number\;of\;favorable\;outcomes}{Total\;number\;of\;outcomes\;in \;sample\; space} =\frac{n(A)}{n(S)}[/tex]

In the question it is given -

Total money = $10

Total no. of pockets = 6 = n(S)

After two unsuccessful check in two pockets, new sample space =

n(S') = n(S) - 2 = 4

Hence, the probability that the money will be in the next pocket you check is -

P(A) = [tex]\frac{1}{4} = 0.25[/tex]

Hence, the probability that the money will be in next pocket will be 0.25.

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Related Questions

expand the equation 1/3(2/5-2/3w)

Answers

1/3(2/5-2/3w)
= 1/3 * 2/5 - 1/3 *2/3w
= 2/15 - 2/9w

Using the equation, y=10000(0.97)x predict the purchasing power of $10000 ten years later

Answers

Using the equation, y= 10,000(0.97)^ , predict the purchasing power of $10,000 ten years later.
$7374

Answer:

The purchasing power is $7374

Step-by-step explanation:

We are given an equation [tex]y=10000(0.97)^x[/tex]

where,

y represents purchasing power.

x represents the number of years.

We need to find purchasing power of $10000 after 10 years.

Put x=10 into equation and solve for y

[tex]y=10000(0.97)^{10}[/tex]

[tex]y=7374.24\approx 7374[/tex]

After 10 years the purchasing power of $10000 becomes $7374

As we can see the value of the product decrease.

Hence, The purchasing power is $7374

is the sample valid? what percent of students prefer caramel popcorn?

Answers

Is the sample valid?
First you must see if the number of students in the table corresponds to the number of students surveyed that was 75.
We have then:
33 + 15 + 27 = 75
We have then that:
The sample is valid.

what percent of students prefer caramel popcorn?
We can make the following rule of three to answer this question:
75 ---> 100%
27 ---> x
Clearing x we have:
x = (27/75) * (100)
x = 36%
36% percent of students prefer caramel popcorn

A class of 32 students shares a class set of 78 colored pencils. On a day with six students absent, which statement is true? A. For each student, there are 4 colored pencils. B. For each student, there are 3 colored pencils. C. For every 3 students, there is 1 colored pencil. D. For every 4 students, there is 1 colored pencil. I need help solving the problem

Answers

With six students absent, there are 26 students, so 78/26 = 3 colored pencils for each student.

Selection B is appropriate.

Your state's bigbucks lottery prize has reached $100,000,000, and you decide to play. you have to pick ve numbers between 1 and 60, and you'll win if your numbers match those drawn by the state. you decide to pick your "lucky" numbers using a random number table. which numbers do you play, based on these random digits? 43680 98750 13092 76561 58712

Answers

Numbers 1-60 don't map nicely to numbers 0-99999, so some method needs to be devised to create that map. Perhaps the simplest is to use these digits as a decimal fraction and compute
.. 1 + floor(60*N/100000)
The possibilty of collision needs to be considered. One way to deal with that is to add or subtract a constant, using the next higher available number, for example. This would give the choices {8, 27, 36, 46, 60}.

Tom spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his credit card bill. If $1320 was left, what was his monthly salary?

Answers

assume that x = monthly salary

x -1/3x - 1/7x = 1320
11/21x =1320
x = 1320 divides by 11/21
x = $ 2520

his monthly salary was $ 2520

what is the solution of the equation 1.6m - 4.8 = -1.6m

Answers

Solve for m:
1.6 m - 4.8 = -1.6 m

Add 1.6 m to both sides:
1.6 m + 1.6 m - 4.8 = 1.6 m - 1.6 m

1.6 m - 1.6 m = 0:
1.6 m + 1.6 m - 4.8 = 0

1.6 m + 1.6 m = 3.2 m:
3.2 m - 4.8 = 0

Add 4.8 to both sides:
3.2 m + (-4.8 + 4.8) = 4.8

4.8 - 4.8 = 0:
3.2 m = 4.8

Divide both sides of 3.2 m = 4.8 by 3.2:
(3.2 m)/3.2 = 4.8/3.2

3.2/3.2 = 1:
m = 4.8/3.2

4.8/3.2 ≈ 1.5:
Answer: m ≈ 1.5

Answer:

m=1.5

Step-by-step explanation:

I took the test.

Box contains 4 bolts. two of them, labeled #1 and #2 are 5 mm in diameter, and two of them, labeled #3 and #4, are 7 mm in diameter. bolts are randomly selected until a 5 mm bolt is obtained. the outcomes are the sequences of the bolts that can be selected. so one outcome is 1, and another is 342. let x represent the number of bolts selected.
a.find the probability mass function of x.

Answers

This can be solved with a tree diagram, or a table, or a simple enumeration.
The following is the last method.
1
2
31
32
341
342
41
42
431
432
So there are 10 possible outcomes, out of which 2 have a single pick, 4 have 2 picks, and 4 have 3 picks.
The pmf of x is therefore
x p
1 1/5
2 2/5
3 2/5

6 friends share 15 oz bag of nuts equally between what two whole numbers of ounces will each person get

Answers

they only way i see possible for 6 friends to share evenly is if each get 2.50 oz each

Each person would get 2.5 oz

A realtor earns a 0.8% commission on the homes sje sells. Last month, she sold a $380,000 home. How much did the realtor earn as her commission for the sale

Answers

380,000(0.008) = 3,040

Answer:

Her commission for the sale was $3,040

Step-by-step explanation:

A realtor sold a home costs = $380,000

She earns commission on the home she sells = 0.8%

Commission for the sale she earns = 0.8% of 380,000

[tex]\frac{0.8}{100}[/tex] × 380,000

0.008 × 380,000 = 3,040

Her commission for the sale was $3,040

When a grizzly bear hibernates, it’s heart rate drops to 10 beats per minute, which is 20% of its normal value. What is a grizzly bear’s normal heart rate when not hibernating?

Answers

If something 20% of its normal value, then it has been divided by 5 (using the example of 100%, if you divide this by 5 it leaves you with 20%). This means that 10 beats per minute are only a fifth of its usual heart rate. Therefore a grizzly bear's normal heart rate is 10 × 5 = 50 beats per minute.

The expression 17n+11 represents the perimeter of the triangle.

A simplified expression that represents the measure of the third side is

Answers

Answer: the answer is 8n

The third side of a triangle whose perimeter is 17n + 11 and the other two sides are (5n + 6) and (4n + 6) is 8n

The perimeter of any shape is total distance around the shape

In the triangle shown:

The perimeter = 17n + 11

The first side = 5n + 6

The second side = 4n + 5

Let the third side be represented by M

The perimeter = (The first side) + (The second side) + (The third side)

Substitute perimeter = 17n + 11, first side = 5n + 6, second side = 4n + 5, and third side = M into the equation above

17n + 11 = (5n + 6) + (4n + 5) + M

M = 17n + 11 - 5n - 6 - 4n - 5

Collect like terms

M = 17n - 5n - 4n + 11 - 6 - 5

M = 8n

Therefore, the third side of a triangle whose perimeter is 17n + 11 and the other two sides are (5n + 6) and (4n + 6) is 8n

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Caitlin says that AC is the longest segment of fencing becasue it is opposite 68 degrees, the largest angle measure in the figure. Is her reasoning valid?

Answers

Final answer:

Caitlin's reasoning is valid; in a triangle, the side opposite the largest angle is indeed the longest, according to the triangle inequality theorem.

Explanation:

Caitlin's reasoning that AC is the longest segment of fencing because it is opposite the largest angle measure in the figure is indeed valid. In any triangle, the longest side is always opposite the largest angle. This is due to the fact that the angles in a triangle are directly related to the lengths of their opposite sides.

The triangle side opposite the largest angle is the longest because of the triangle inequality theorem. So, if 68 degrees is the largest angle in the triangular piece of land that Caitlin is fencing, then segment AC, being opposite this angle, would be the longest side.

Final answer:

Caitlin's reasoning is valid based on the principle that in a triangle, the longest side is opposite the largest angle. The length of the third side can be determined using the cosine law or vector addition, depending on the given details.

Explanation:

The validity of Caitlin's reasoning is based on a principle in geometry that states the side opposite the largest angle in a triangle is the longest side. This fact is drawn from the Law of Sines which asserts that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle. Therefore, if AC is indeed opposite the largest angle, which is 68 degrees, then her reasoning is valid and AC would be the longest segment of fencing.

To calculate the length of the third side, one can use the cosine law or the vector addition method depending on the given information and the context of the question. If the internal angles and lengths of two sides are known, the cosine law allows for the calculation of the third side. In the context of vectors, the resultant vector, which in this case is the third side C, can be calculated by mathematically adding vectors A and B.

You find that the going rate for a home mortgage with a term of 30 years is 5% APR. The lending agency says that based on your income, your monthly payment can be at most $750 . How much can you borrow?

Answers

Using
A=monthly payment
P=amount borrowed (present value)
i=5%/12 per month (period)
n=30*12 months (months)

Then
[tex]P=\frac{A*((1+i)^n-1)}{i*(1+i)^n}[/tex]
Substitute values
[tex]P=\frac{750*((1+.05/12)^{360}-1)}{.05/12*(1+.05/12)^{360}}[/tex]
[tex]=\frac{750*((1+.05/12)^{360}-1)}{.05/12*(1+.05/12)^{360}}[/tex]
[tex]=139711.21[/tex] to the nearest cent

At Store 1 I can buy 36 oz of baby formula for $26.62, and at Store 2 I can buy 28 oz of baby formula for $22.42. Which one is a better buy and by how much? A) Store 1 by $0.74 an ounce. B) Store 2 by $0.06 an ounce. C) Store 2 by $0.80 an ounce. D) Store 1 by $0.06 an ounce.

Answers

D, Store 1. $26.62/38 = 0.74
Store 2. $22.42/28 = 0.80

you were wrong, so I got it wrong...

You observe one pine tree. if the probability of not being a foxtail pine is equal to 0.06, what is the probability that this tree is a foxtail pine? (calculate to 2 decimals)

Answers

the probability that this tree is a foxtail pine is
99.94%

Final answer:

The probability that the observed pine tree is a foxtail pine is 0.94 or 94%, calculated by subtracting the probability of it not being a foxtail pine (0.06) from 1.

Explanation:

If the probability of not being a foxtail pine is 0.06, we can find the probability of a tree being a foxtail pine by subtracting this from 1 (since the sum of all probabilities for an event and its complement must equal 1). Therefore, the calculation to find the probability of the tree being a foxtail pine is 1 - 0.06.

Carrying out this subtraction gives us:

1 - 0.06 = 0.94.

Thus, the probability that the observed pine tree is a foxtail pine is 0.94, or 94%, when calculated to two decimals.

the hardware store sells sparklers for the 4th of july. they charge 19 cents apiece. the firework stand charges 85 cents for four. which is the better deal? how can you tell

Answers

Let’s start by finding the average for the place that charges 85 cents for 4 fireworks. You simply do 85 divided by 4 to get 21.25 cents. This means that each firework costs about 21 cents a piece. So, the first firework stand is the better deal, because 19 cents a piece is better than 21 cents a piece.

Mr. Lin baked banana bread for a bake sale to raise money for the math team. He said that he added a spoonful of walnuts for each of the students in his three classes, and that he added more than 250 walnuts. He used the inequality
16w + 24w + 10w > 250 to represent this situation, where w represents the number of walnuts in each spoonful. How many walnuts can be in a spoonful?

Answers

To answer this question you would need to solve this inequality. The first step would be to combine all three terms on the left-hand side of the greater than symbol. By doing this you would have 50w > 250. To solve this inequality divide both sides by 50. The answer is w > 5. In words, this means the number of walnuts per spoonful is greater than five.

1 2/3 × 2 1/3= in fraction form

Answers

First convert them into improper fractions.

[tex]\sf 1\dfrac{2}{3}\times 2\dfrac{1}{3}[/tex]

To convert into an improper fraction, keep the denominator the same, multiply the denominator to the whole number and add it to the numerator.

[tex]\sf 3\times 1+2=5[/tex]
[tex]\sf 3\times 2+1=7[/tex]

So we have:

[tex]\sf\dfrac{5}{3}\times\dfrac{7}{3}[/tex]

Now multiply the numerators and denominators together:

[tex]\sf\dfrac{35}{9}[/tex]

Revert back to mixed number form. Nine goes into thirty-five three times.

9 * 3 = 27
35 - 27 = 8

So we will have 3 and 8/9 left over or [tex]\boxed{\sf 3\dfrac{8}{9}}[/tex]

After the multiplication of the given fraction, the value obtained in terms of a fraction will be equal to 35/9.

What is a fraction?

In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.

As per the information available in the question,

The given fraction is,

1 2/3 × 2 1/3

It can also be written as:

5/3 × 7/3 = 35/9 or 3 8/9.

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we built a fence around the back of his yard he built 7 feet of fence every day in July and was finished how long is the fence explain how you got the answer

Answers

First, it's important to remember that July has 31 days. So, if he built 7 feet of fence everyday for 31 days, thn altogether he built 7×31= 217 feet if fence in total. Therefore, the fence is 217 feet long.

Convert a length of 25.0 m to inches.
express your answer numerically in inches.

Answers

Answer:

98.4 inches

Step-by-step explanation:

You want the length 25.0 meters expressed in inches.

Conversion

There are 0.254 m in an inch, so the distance d can be found from the proportion ...

d/(25 m) = (1 in)/(0.254 m)

Multiplying by 25 m, we find ...

d = 25/0.254 in ≈ 98.4252 in

The length is about 98.4 inches.

Additional comment

The value to convert is given to 3 significant figures. The conversion factor is exact. The answer is appropriately expressed using 3 significant figures.

In the diagram below QRS=NMP what is length in inches of MP

Answers

mp is congruent to rs

Math help!! 5 questions!!! A classmate believes that a triangle can have both right angle and an obtuse angle. Which of the following statements would you use to convince him that he is incorrect. A. Its is not possible because the sum of the angles in the triangle can't exceed 180 d. B. It is not possible because if a triangle has an obtuse triangle , that means all the angles are obtuse angles. C. It is not possible because if a triangle has a right triangle, that means all the angles are right angles. Its is possible. The classmate is correct.

Answers

Final answer:

A triangle cannot have both a right angle and an obtuse angle, as the sum of its angles must always equal 180 degrees.

Explanation:

To convince your classmate that a triangle cannot have both a right angle and an obtuse angle, you should explain that according to Euclidean geometry, the sum of the angles in any triangle must equal two right angles, or 180 degrees.

If a triangle has a right angle (90 degrees), then the remaining two angles must sum up to 90 degrees as well. Introducing an obtuse angle, which is any angle greater than 90 degrees, would cause the total sum of the angles to exceed 180 degrees, which is impossible.

Therefore, the correct statement to use would be 'A. It is not possible because the sum of the angles in the triangle can't exceed 180 degrees.'

Madison and Centerville are 6 cm apart on a map that has a scale of 1 cm : 11 km. How far apart are the real cities

Answers

Final answer:

The actual distance between Madison and Centerville is calculated by multiplying the map distance by the scale factor. Madison and Centerville are 66 km apart in real life.

Explanation:

The actual distance between Madison and Centerville is calculated by multiplying the map distance by the scale factor:

Map distance = 6 cm

Scale factor = 1 cm : 11 km

Actual distance = 6 cm * 11 km = 66 km

Therefore, Madison and Centerville are 66 km apart in real life.

How are exponential functions related to logarithmic functions?
Model that with an example.

Answers

Exponential functions are related to logarithmic functions in that they are inverse functions. Exponential functions move quickly up towards a [y] infinity, bounded by a vertical asymptote (aka limit), whereas logarithmic functions start quick but then taper out towards an [x] infinity, bounded by a horizontal asymptote (aka limit).
If we use the natural logarithm (ln) as an example, the constant "e" is the base of ln, such that:
ln(x) = y, which is really stating that the base (assumed "e" even though not shown), that:
[tex] {e}^{y} = x[/tex]
if we try to solve for y in this form it's nearly impossible, that's why we stick with ln(x) = y
but to find the inverse of the form:
[tex]{e}^{y} = x[/tex]
switch the x and y, then solve for y:
[tex] {e}^{x} = y[/tex]
So the exponential function is the inverse of the logarithmic one, f(x) = ln x

Exponential and logarithmic functions are related in that they are inverses of each other.

Logarithmic functions and exponential functions are inverses of each other.

For instance, let [tex]log a = b[/tex]

In order to eliminate the logarithmic function, we will apply an exponential function ([tex]e[/tex])to both sides.

[tex]e^{loga} = e^b[/tex]

The exponential function will cancel out the logarithmic function since they are inverses of each other to give:

[tex]a = e^b[/tex]

This example shows the inverse relationship that exists between the logarithmic and exponential functions.

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As per an axiom in Euclidean geometry, if points lie in a plane, the containing those points also lies in the same plane?

A) two/plane

B) three/plane

C)two/line

D)three/line

Answers

According to Postulate 5, otherwise known as the Plane Line Postulate, if two points lie in a plane, the line containing those points also lies in the same plane. In other words, if you have a square plane, for example, and you put two points within the plane and you draw a line that connects both of those points. The line you created using those two points, or the line that connects the points, are within the same plane.

Your answer is C.

Answer: two, line

Step-by-step explanation:

Susan been a total of $26 at the State Fair she's mad she spent 9 on food in the rest of the money susan spent on games,g.

Answers

the answer for this problem would be D. g+9 = 26

The answer is D, because she spent 9 on food and subsequently 15 on games.

Troy is going to Spain and needs to convert his dollars to euros. He knows that when he goes, $5.00 is equivalent to about 3.45 Euros, How many will he get for $125?

Answers

125/5=25
25*3.45=86.25

86.25 euros

To solve this, you need to set up a proportion.

$5/3.45 euros = $125/x euros

then, cross multiply

5x=(3.45)(125)
5x=431.25
x=86.25

The answer is 86.25 euros

5. What is the value of x to the nearest tenth? The figure is not drawn to scale.
A) x=15.7
B) x=4.4
C) x=13.9
D) x=1.9

Answers

we know that
x/8.3=14.8/7.8
x=(14.8/7.8)*8.3------> 15.74-------> x=15.7

the answer is
the option
x=15.7

The correct option is B) [tex]x=4.4[/tex]. The value of x to the nearest tenth is x=4.4.

To find the value of x, we need to apply the Law of Cosines to the given triangle. The Law of Cosines states that for any triangle with sides [tex]$ a $, $ b $, and $ c $,[/tex] and the angle opposite side c and [tex]$ \gamma $,[/tex] the following relationship holds: [tex]\[ c^2 = a^2 + b^2 - 2ab\cos(\gamma) \][/tex]

Let's denote the sides of the triangle as follows: the side opposite the right angle (hypotenuse) as c, the side opposite the 30-degree angle as b, and the side opposite the 60-degree angle as a. We are given that [tex]$ a = 2x $, $ b = x $, and $ c = 10 $.[/tex]

Using the Pythagorean theorem, we have:

[tex]\[ c^2 = a^2 + b^2 \][/tex]

[tex]\[ 10^2 = (2x)^2 + x^2 \][/tex]

[tex]\[ 100 = 4x^2 + x^2 \][/tex]

[tex]\[ 100 = 5x^2 \][/tex]

[tex]\[ x^2 = \frac{100}{5} \][/tex]

[tex]\[ x^2 = 20 \][/tex]

[tex]\[ x = \sqrt{20} \][/tex]

[tex]\[ x = \sqrt{4 \cdot 5} \][/tex]

[tex]\[ x = 2\sqrt{5} \][/tex]

Now, we calculate the numerical value of x:

[tex]\[ x \approx 2 \cdot 2.236 \][/tex]

[tex]\[ x \approx 4.472 \][/tex]

Rounding to the nearest tenth, we get: [tex]\[ x \approx 4.4 \][/tex]

Therefore, the value of x to the nearest tenth is 4.4, which corresponds to option B.

can u show me common core way this problem how to do 5/9 ×3 1/2

Answers

1.) you want to make 3 1/2 an improper fraction. so multiply 3 times 2 (your denominator) then add 1 (numerator).
3x2= 6 6+1=7, then put 7 over your denominator which would be 7/2.
2.) multiply 5/9 times 7/2
5 times 7 is 35
9 times 2 is 18
your answer is 35/18
3.) make it a proper fraction
18 times 2 is 36 so that would't work to have two!
so you only can put 18 into 32 once so subtract 32-18 so you know what is left over after you take a whole out. 32-18=14. 14 is now the numerator and so put your whole number first then put your numerator over your denominator: 1 14/18
4.) simplify
1 14/18= 1 7/9, I divided 14 and 18 by 2 to simplify

The answer is 1 7/9

first off, we change the mixed fraction to an "improper" fraction, and then multiply like we would any other fractions, so let's do so,

[tex]\bf \stackrel{mixed}{3\frac{1}{2}}\implies\cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}\\\\ -------------------------------\\\\ \cfrac{5}{9}\times 3\frac{1}{2}\implies \cfrac{5}{9}\times\cfrac{7}{2}\implies \cfrac{5\times 7}{9\times 2}\implies \cfrac{35}{18}\implies 1\frac{17}{18} \\\\\\ \textit{keep in mind that }1\frac{17}{18}\implies \cfrac{1\cdot 18+17}{18}\implies \cfrac{35}{18}[/tex]

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