A coin bank containing only quarters, dimes, and nickels has twice as many dimes as nickels and half as many quarters as nickels. In all, the bank contains no more than $11.40. At most, how many nickels must be in the coin bank?

The probability it fails to detect an underfilled can for the first time when it encounters the 10th underfilled is \(0.01667496\).

What is probability?

Probability is defined as the possibility of an event to occur.

An automated weight monitor can detect underfilled cans of beverages with probability \(0.98\)

Thus probability of success will be \(p=0.98\)

So probability of failure \(q=1-p=1-0.98=0.02\)

To find the first wrong detection happening on the tenth trial the first nine trials must be success followed by failure in the tenth trial.

Thus, required probability \(=p^9q^1=(0.98)^9(0.02)=0.01667496\)

Hence the probability it fails to detect an underfilled can for the first time when it encounters the 10th underfilled is \(0.01667496\).

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We have:

Total number of cards in a pack = 52

Total number of aces in a pack = 4

The probability of drawing an ace is:

The probability that both are aces is:

Answer: the probability is 1/221

Answer:

42

Step-by-step explanation:

√2x-3-3=6

√2x-3=6+3

√2x-3=9

2x-3=9^2

2x=81+3

X=84/2

X=42

So value of X is 42

The probability that a randomly chosen junior who volunteers in their community volunteers at least twice a week is approximately 0.4444, or 44.44%

Explain the term probability

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probability is used in various fields, including mathematics, statistics, and science, to analyze and predict the outcomes of experiments, games of chance, and real-world events.

According to the given information

Using Bayes' theorem, we can write:

P(T|V) = P(V|T) * P(T) / P(V)

We know that two-thirds of the juniors volunteer in their community, so P(V) = 2/3.

We also know that 45% of the juniors who volunteer do so at least twice a week, so P(T) = 0.45.

To find P(V|T), we can use the conditional probability formula:

P(V|T) = P(V and T) / P(T)

We can interpret P(V and T) as the probability of junior volunteering at least twice a week AND volunteering in their community. We don't have that information directly, but we can use the fact that P(T|V) = 0.45 to estimate it:

P(T|V) = P(V and T) / P(V)

0.45 = P(V and T) / (2/3)

P(V and T) = 0.45 * (2/3) = 0.3

Now we can substitute all these values into the original Bayes' theorem formula:

P(T|V) = P(V|T) * P(T) / P(V)

P(T|V) = (P(V and T) / P(T)) * P(T) / P(V)

P(T|V) = 0.3 / (0.45 * (2/3))

P(T|V) = 0.4444...

Therefore, the probability that a randomly chosen junior who volunteers in their community volunteers at least twice a week is approximately 0.4444, or 44.44%

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Answer:

x is less than twenty one

100 mph going there, 50 coming back

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer: x-intercept is (3/2, 0),  y-intercept is (0, -3)

Step-by-step explanation:

Answer: y = 3

Step-by-step explanation:

The required algebraic expression is c+4

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

Given that a statement 4 plus c as an algebraic expression

We need to convert it into an expression,

4 = 4

plus = +

c = c

Therefore, arranging it = c+4

Hence, the required algebraic expression is c+4

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Answer:

x > 23/5

Step-by-step explanation:

2x+ 3(x+2)>17

2x + 3x + 6 >17

5x >23

x > 23/5

Answer:

y = -1/2x - 1

Step-by-step explanation:

Given equation:

y = 2x - 3

Given point: (x1,y1) = (-8,3)

This is in the form of y = mx + c,

so, m1 = 2

If the lines are perpendicular then the product of their slope will be - 1 i.e.

m1 x m2 = -1

2 x m2 = -1

m2 = -1/2

Now, using one point form formula,

y - y1 = m(x - x1)

or, y - 3 = -1/2( x - (-8))

or, y-3 = -1/2(x + 8)

or, y = -1/2x - 4 + 3

or, y = -1/2x - 1

This is the required equation.

The dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

Let's denote the width of the rectangle as "w" centimeters. According to the problem, the length of the rectangle is 19 centimeters less than its width, so the length can be expressed as "w - 19" centimeters.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 20 square centimeter

Area = Length × Width

20 = (w - 19) × w

To solve this equation, we can expand it:

20 = \(w^2\) - 19w

Rearranging the equation to bring everything to one side:

\(w^2\) - 19w - 20 = 0

Now, we can factor the quadratic equation:

(w - 20)(w + 1) = 0

Setting each factor equal to zero and solving for "w":

w - 20 = 0 --> w = 20

w + 1 = 0 --> w = -1

Since a negative width doesn't make sense in this context, we discard w = -1.

Therefore, the width of the rectangle is 20 centimeters (w = 20).

To find the length, we substitute this value back into the expression for length:

Length = w - 19

Length = 20 - 19

Length = 1 centimeter

So, the dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

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Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

Answer:

13 books

Step-by-step explanation:

15 + 8 = 23

23-10=13

Answer:

x-intercept → (-5, 0)

Step-by-step explanation:

Let the equation of the line having pairs given in the table is,

y - y' = m(x - x')

m = slope of the line

(x', y') is a point lying on the line.

From the given table,

Two points (33, -22) and (52, -33) lie on the line.

Slope of the line = \(\frac{y_2-y_1}{x_2-x_1}\)

                        m = \(\frac{-33+22}{52-33}\)

                        m = \(-\frac{11}{19}\)

Equation of the line passing through (33, -22) and slope = \(-\frac{11}{19}\) will be,

y + 22 = \(-\frac{11}{19}(x - 33)\)

For x-intercept y = 0,

0 + 22 = \(-\frac{11}{19}(x-33)\)

-38 = x - 33

x = -38 + 33

x = -5

Therefore, x-intercept of the line is (-5, 0).

Answer:

-5,0

Step-by-step explanation:

khan academy

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error decreases as the margin of error increases.

The square root of the variance for the given set of numbers is what the standard deviation examines. It is employed to compute a confidence interval for making judgments (such as accepting or rejecting a hypothesis).

Here, the population standard deviation, and level of significance are the same.

As the margin of error increased.

So, with the increase in the value of the margin of error, there will surely decrease in the value of the sample size

\($$\begin{aligned}&\mathrm{MOE}_\gamma=z_\gamma \times \sqrt{\frac{\sigma^2}{n}}\\&\begin{aligned}\mathrm{MOE} & =\text { margin of error } \\\gamma & =\text { confidence level } \\z_\gamma & =\text { quantile } \\\sigma & =\text { standard deviation } \\n & =\text { sample size }\end{aligned}\end{aligned}$$\)

As the margin of error is in the denominator position in the sample size formula

Hence with an increase in the margin of error sample size decreases.

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Answer: 500 female students. 2:5 ratio for males means 200 male students. 500 female plus 200 male equals 700 students total. There are three teachers for every 35 students, so 700/35 multiplied by three equals 60 teachers.

Answer:

A

Step-by-step explanation:

There are 9 blocks and 2 are brown so the probability is a ratio form 2:9

Answer:

2nd Option

Step-by-step explanation:

Exponent Rule: \(b^{-m} =\frac{1}{b^m}\)

The percentage decrease in the number of people that attended the meeting is 11.1%.

From the information given, it was stated that last month 54 people attended the monthly community meeting and that this month 48 people attended the meeting.

The percentage decrease will be:

= (54 - 48)/54 × 100

= 6/54 × 100

= 11.1%

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Answer:

The Correct Answer Is : 11.1

Step-by-step explanation:

I Just Took The Test

Answer:

p³+2; 29 plants

Step-by-step explanation:

Hi there!

Find the expression to represent the total number of plants in her garden

p

First, we're told that Iliana cubed the number of flowering plants in her garden. This means she raised the original number of plants by an exponent of 3.

p³

Then, we're told that she added 2 vegetable plants.

p³+2

Find the number of total plants if p=3

p³+2

= (3)³+2

= 27+2

= 29

Therefore, Iliana now has 29 plants in total.

I hope this helps!

Answer:

D

Step-by-step explanation:

Step-by-step explanation

I think the square root of 13 is only an irrational number because it is a decimal number that does not end.

The probability that a student lives within 3 miles of the school is 75%, and the probability that a student who lives within 3 miles walks to school is 20%. We can find the probability that a student both lives within 3 miles and walks to school by multiplying these probabilities:

0.75 x 0.20 = 0.15

Therefore, the probability that a student lives within 3 miles and walks to school is 0.15 or 15%.

Answer:

0.15  or   15%

Step-by-step explanation:

Answer:

triangle area = 24

rectangle areea = 32

figure area = 56

Step-by-step explanation:

Answer: The answer is 8

Step-by-step explanation:

Have a good day and stay safe out there! <3

The three possibilities that Damon can use as the common factor for equivalent expression are y(5xz + 3z + 2x), z(5xy + 3y + 2x) and  xy(5z + 3 + 2z).

To discover a common figure for 60xyz+36yz+24xy, we have to be discover the Greatest Common Factor (GCF) of the coefficients 60, 36, and 24, and the factors x, y, and z.

The GCF of the coefficients 60, 36, and 24 is 12. Able to calculate out 12 from each term:

60xyz+36yz+24xy = 12(5xyz + 3yz + 2xy)

Presently, we ought to discover a common calculate for the remaining components, 5xyz + 3yz + 2xy. Here are three conceivable outcomes:

Calculate out y:

5xyz + 3yz + 2xy = y(5xz + 3z + 2x)

Calculate out z:

5xyz + 3yz + 2xy = z(5xy + 3y + 2x)

Calculate out xy:

5xyz + 3yz + 2xy = xy(5z + 3 + 2z)

So, Damon may utilize any of these three conceivable outcomes as the common calculate for an proportionate expression.

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Answer:

asking if there are any questions