What is the experimental probability of hitting a polka dot balloon or solid balloon
there are 18 solid balloons, 5 polka dot balloons and 17 striped balloons

Answer:

=36

Step-by-step explanation:

2b is the same as 2×5

so 2b=10

put it back into the brackets

6(10-4)

6×10=60

6×-4=-24

=60-24

=36

\(~~~~~\dfrac 12 \left(x-\dfrac 34 \right) = \dfrac 5{12}\\\\\\\implies \dfrac{4x-3}4= \dfrac{5 \times 2}{12}\\\\\\\implies 4x-3 = \dfrac{5 \times 2 \times 4}{12}\\\\\\\implies 4x -3=\dfrac{40}{12}\\\\\\\implies 4x -3 = \dfrac{10}3\\\\\\\implies 4x = \dfrac{10}3 +3\\\\\\\implies 4x = \dfrac{19}3\\\\\\\implies x = \dfrac{19}3 \times \dfrac 1 4\\\\\\\implies x = \dfrac{19}{12}\)

Our strategy to win $200 is to use $100 in just one chance. It is the best bet for winning $200.

Given that we start with $100 at a casino and can bet any amount of that particular money to play a game to any amount of times where we have a 40% chance of winning in each game. If we win, we will gain the amount we bet and return the amount that we bet. If we lose, we will lose our bet.

It has been asked that what should be our strategy to win get $200.

We can write from the given information that:

Probability of wining = 40 % = 0.4

Probability of losing = 1 - 0.4 = 0.6

The best bet to win $200 is to bet $100 in one go itself.

For the above bet chance of winning $100 is 0.4

But let us assume that we are betting $50 two times,

Then L-Lose and W-Win

There will be 4 rational possible cases (WW,WL,LW,LL)

Probability of all the 4 above given cases will be as follows:

Probability of (WW) = 0.4 X 0.4 = 0.16

Probaility of (WL) = 0.4 X 0.6 = 0.24

Probability of (LW) = 0.6 X 0.4 = 0.24

Probability of (LL) = 0.6 X 0.6 = 0.36

Now for winning $100 we need to win both the bets of $50.

But the probability of winning both the bets = 0.16 ( very less than 0.4)

Hence the best bet would be to use $100 in one chance itself.

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Our strategy to win $200 is to use $100 in just one chance. It is the best bet for winning $200.

It has been asked that what should be our strategy to win get $200.

We can write from the given information that:

Probability of wining = 40 % = 0.4

Probability of losing = 1 - 0.4 = 0.6

The best bet to win $200 is to bet $100 in one go itself.

For the above bet chance of winning $100 is 0.4

But let us assume that we are betting $50 two times,

Then L-Lose and W-Win

There will be 4 rational possible cases (WW,WL,LW,LL)

Probability of all the 4 above given cases will be as follows:

Probability of (WW) = 0.4 X 0.4 = 0.16

Probability of (WL) = 0.4 X 0.6 = 0.24

Probability of (LW) = 0.6 X 0.4 = 0.24

Probability of (LL) = 0.6 X 0.6 = 0.36

Now for winning $100 we need to win both the bets of $50.

But the probability of winning both the bets = 0.16 ( very less than 0.4)

Hence the best bet would be to use $100 in one chance itself.

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The principle of cross-cutting relationships is a valuable tool in relative dating, which helps determine the sequence of events in geological formations. It states that any geological feature that cuts across another is younger than the feature it cuts through.

However, in the case of the Upheaval Dome investigations, using the principle of cross-cutting to determine the relative ages of sedimentary rock layers would be inappropriate.

Upheaval Dome is a unique geological feature in Canyonlands National Park, Utah, characterized by a large impact crater. The crater was formed by a meteorite impact, which disrupted the original sequence of sedimentary rock layers. The impact event caused intense deformation, fracturing, and uplift, resulting in the formation of the dome.

As a result, the principle of cross-cutting relationships cannot be reliably applied in this context because the impact event altered the original layering and created a complex mixture of rocks The fractures and deformations caused by the impact would make it challenging to establish a clear sequence of events based on cross-cutting relationships.

Therefore, alternative methods, such as radiometric dating or stratigraphic analysis, would be more appropriate for determining the relative ages of the sedimentary rock layers in the Upheaval Dome investigations.

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Answer:

5

Step-by-step explanation:

Answer:

560

Step-by-step explanation:

To find the total combination you have to multiply the combination of entrees by the combination of sides. You have to use the nCr equation to find these separate equations. n is the number of items in the total of the set and r is the number of items you want to choose from the set.

nCr(8,2) = 28
nCr(6,3) = 20

28 * 20 = 560

12/35 fraction of the total number is unused from two different cards.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Assuming the total first kind of card form is 1 and the total second kind of card form is also one.

Given, a company buys equal numbers of two different card forms. it utilizes 4/5 of one kind and 6/7 of the other.

∴ The total unused card form is,

= (1 + 1) - (4/5 + 6/7).

= 2 - (28 + 30)/35.

= 2 - 58/35.

= (70 - 58)/35.

= 12/35.

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Answer:

Step-by-step explanation:

Given,

n = 5

and, b = 4

Equation:

n + b × 5

= 5 + 4 × 5

= 5 + 20

= 25 (Ans)

Answer:

c

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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The group of friends can consist of at most 9 people, given the budget constraint and pricing can go to the amusement park.

The inequality to determine the number of people who can go to the amusement park can be written as: 38.75p + 16.25 ≤ 365.

Where p represents the number of people and the left-hand side of the inequality represents the total cost of admission and parking for p people.

The inequality is set up such that the total cost cannot exceed the given budget of $365.

To solve this inequality, we can first subtract 16.25 from both sides: 38.75p ≤ 348.75. Then, divide both sides by 38.75: p ≤ 9

To determine the maximum number of people who can go to the amusement park with a given budget,

we can write and solve an inequality based on the cost of parking and admission per person.

In this case, the inequality is 38.75p + 16.25 ≤ 365, and the solution is p ≤ 9.

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Answer:

Step-by-step explanation:

\((a^2-b^2)=(a-b)(a+b)\\ \\ 36m^4-4\\ \\ (6m^2-2)(6m^2+2)\\ \\ 4(3m^2-1)(3m^2+1)\)

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

The given road rises 3 yards for every 16 yards measured on the surface of the road. We have to determine how far does a car travel horizontally when it travels 3.5 miles along the road. 1 mile = 1760 yards Therefore, 3.5 miles

= 3.5 × 1760 yards

= 6160 yards

A road rises 3 yards for every 16 yards measured on the surface of the road.We need to find the distance a car travels horizontally

=\((distance\,travelled\,horizontally)^2 + (distance\,travelled\,vertically)^2

= (distance\,travelled)^2\)Let the distance a car travels horizontally

= x

We know, the road rises 3 yards for every 16 yards measured  on the surface of the road. Therefore, the distance a car travels vertically

= \(\frac{3}{16}\) × distance a car travels horizontally

= \(\frac{3x}{16}\)

Using the Pythagorean Theorem,

=\(x^2 + \left(\frac{3x}{16}\right)^2

= (6160)^2\)\(x^2 + \frac{9x^2}{256}

= (6160)^2\)\(\frac{265x^2}{256}

= (6160)^2\)x²

= \(\frac{256 × 6160^2}{265}\)x

= \(\sqrt{\frac{256 × 6160^2}{265}}\)x

= 8926.03 yards

Therefore, the car travels 8926.03 yards horizontally when it travels 3.5 miles along the road. 1 yard = 0.000568182 miles

Therefore, the distance a car travels horizontally = 8926.03 × 0.000568182= 5.0761 miles (rounded to four decimal places) Hence, the car travels 5.0761 miles horizontally when it travels 3.5 miles along the road.

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If the temperature is -5 degrees in one city and it is four degrees less in another city, the temperature in the other city would be -9 degrees.

This is because subtracting four from -5 results in a decrease of four units, giving us -9 degrees.

In the given scenario, the temperature in the other city is four degrees less than the temperature in the first city. When we subtract four from the original temperature of -5 degrees, we obtain -9 degrees.

Thus, the temperature in the other city is -9 degrees, indicating that it is colder by four degrees compared to the first city.

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Answer:

4/5 is greater

Step-by-step explanation:

To find the margin of error, we need to first determine the formula for it. The margin of error (ME) is calculated by multiplying the critical value of the confidence level (in this case 90%) with the standard error (SE) of the sample mean.

The critical value for a 90% confidence interval can be found using a t-distribution table with n-1 degrees of freedom (where n is the sample size). For a sample size of 30, the degrees of freedom would be 29. Using the table, the critical value for a 90% confidence interval is approximately 1.697.

Next, we need to calculate the standard error. The formula for the standard error of the sample mean is the standard deviation of the population divided by the square root of the sample size. However, we don't know the standard deviation of the population, so we will use the sample standard deviation as an estimate.

Assuming that the sample is representative of the population, we can assume that the sample standard deviation is an unbiased estimate of the population standard deviation. Therefore, we can use the formula:

SE = s / sqrt(n)

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

Since we are not given the sample standard deviation, we cannot calculate the standard error. However, we can use the range of the confidence interval to estimate it. The range of the confidence interval is equal to the margin of error multiplied by 2. Therefore:

ME = (51.3 - 48.7) / 2 = 1.3

Using the formula for the margin of error, we can solve for the standard error:

ME = t*SE

1.3 = 1.697*SE

SE = 0.767

Therefore, the margin of error is approximately 1.3 inches.

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Answer:

in the thousandths

Step-by-step explanation:

because it would go

hundreds,tens,ones (decimal) tenths, hundredths,then thousandths

Answer:

Thousandths place and 0.009

Step-by-step explanation:

The relation is not a function, enter NONE in the Domain is possible x values from the graph i.e (-infinity,-2) U [2,infinity)

Range is all possible functional values i.e (-infinity,4] U (7,infinity)

A) vertical line test :

the vertical line through the point x = -2 cuts the graph at two points

the points on the graph are (-2,-1) and (-2,5)

that is x=-2 assigned to two values -1,5.

recollect that a relation represents a function when each element of x-coordinate associated with unique element of y-coordinate

therefore, this relation is not a function.

Domain is none and codomain is also none.

B) any vertical line through graph cuts the line at only one point.

that is each element of x coordinate associated with the unique element of y-coordinate. so, it represents a function.

Domain is possible x values from the graph i.e (-infinity,-2) U [2,infinity)

Range is all possible functional values i.e (-infinity,4] U (7,infinity)

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The equation of the parabola in vertex form is y = 2x² + 4.

How do you identify a parabola?

When the coordinates of a given figure satisfies the equation of a parabola then we say that the given figure is a parabola.

To write the vertex equation of a parabola given its directrix and focus, you can follow these steps:

Determine the axis of symmetry: The axis of symmetry is a line perpendicular to the directrix and passing through the focus.

Find the vertex: The vertex is the point where the axis of symmetry intersects the directrix.

Determine the distance between the vertex and the focus: This distance is equal to the distance between the vertex and the directrix.

Determine the value of a: The value of a is the distance from the vertex to the focus.

Write the equation: Once you have determined the values of a, h, and k, you can write the equation of the parabola in vertex form as y = a(x - h) + k.

Here is an example:

Suppose the directrix is the line y = 4 and the focus is the point (0, 2).

The axis of symmetry is the vertical line x = 0.

The vertex is the point where the axis of symmetry intersects the directrix, which is (0, 4).

The distance between the vertex and the focus is 2 units.

The value of a is also 2.

Hence, The equation of the parabola in vertex form is y = 2x² + 4.

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Answer:

c) f = 28

Step-by-step explanation:

Given problem,

→ f³ = 21952

Now the value of f will be,

→ f³ = 21952

→ f = ³√21952

→ [ f = 28 ]

Let's check the following,

→ 28³

→ (28 × 28) × 28

→ 784 × 28 = 21952

Hence, option (c) is correct.

Answer:

13/25 is the correct answer

Step-by-step explanation:

Hope this helped, please mark me as brainliest please!

Answer:

he value of the integral ∫ y tan(x) dx is y sin(x) + C.

Step-by-step explanation:

Property 8 of integrals states that if we have an integral of the form ∫ f(x) g'(x) dx, it can be rewritten as ∫ f(x) dg(x), where g(x) is an antiderivative of g'(x).

In this case, we have the integral ∫ y tan(x) dx. By applying Property 8, we can rewrite it as ∫ y d(sin(x)).

Now, integrating with respect to y while treating sin(x) as a constant, we get:

∫ y d(sin(x)) = y sin(x) + C,

where C is the constant of integration.

So, using Property 8, the value of the integral ∫ y tan(x) dx is y sin(x) + C.

The time taken to completely fill the pool is 5/4 hour

From the question, the given parameters are:

Time =3/4 hour

Size of the pool = 3/5

The time to fill the pool is then calculated as

Time = Given time/Proportion of the pool

Substitute the known values in the above equation

So, we have the following equation

Time = 3/4 hour ÷ 3/5

Express the quotient as product

So, we have the following equation

Time = 3/4 hour x 5/3

Evaluate the products

Time = 5/4 hour

Hence, the time taken is 5/4 hour

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In linear equation, 0.76  will purchase one or more costumes as a decimal to the nearest hundredth.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                                 The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

from the given information

  the probability that the next person will purchase one or more costumes

                   = 288 + 13/288 + 13 + 95

                   ≈ 0.76

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Answer:

To solve this

4x-3<5

4x<5+3

4x<8

x<8/4

x<2

so no, three is not a solution

Step-by-step explanation:

Answer: No

Step-by-step explanation:

X = 3

Replace the variable X with 3

4 x 3 - 3 (less than or equal to) 5

4 x 3 = 12 - 3 = 9

9 is not equal to or less than 5, thus 3 is NOT a solution

Answer:

The answer is 11 to the nearest tenth

Answer:

YES. IT IS LINEAR

The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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a) Two angles are said to be complementary if their sum is equal to 90°

Given : 2x and 4x are complementary angles

⇒   2x + 4x = 90°

⇒   6x = 90°

⇒   x = 15°

Answer: The two angles are : 30° and 60°

b) Two angles are said to be supplementary if their sum is equal to 180°

Given : x and 5x are supplementary angles

⇒   x + 5x = 180°

⇒   6x = 180°

⇒   x = 30°

Answer: The two angles are : 30° and 150°

c) Two angles are said to be complementary if their sum is equal to 90°

Given : x and x + 50° are complementary angles

⇒   x + x + 50° = 90°

⇒   2x = 40°

⇒   x = 20°

Answer: The two angles are : 20° and 70°

d) If two angles form a linear pair, then the sum of the angles should be equal to 180°

Given : 2x + 10° and 3x + 10° form a linear pair

⇒   2x + 10° + 3x + 10° = 180°

⇒   5x = 160°

⇒   x = 32°

⇒  2x + 10° = 2(32) + 10° = 74°

⇒  3x + 10° = 3(32) + 10° = 106°

Answer: The two angles are 74° and 106°