A bag contains 10 coloured balls. 5 of them are red and 3 of them are blue. A ball is taken from the bag at random, then replaced. A second ball is then selected at random. Find the probability that the first ball is red and the second ball is blue.

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Answer:

The answer is b.

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Answer:

They can write 3\4 of a speech in 1 hour

Step-by-step explanation:

Half of a half is 2/3 Split that in half and get 3\4

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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Answer

(5/18) - (1/4) = (1/36)

Explanation

We are asked to subtract (1/4) from (5/18)

To do this, we have to first find the Lowest Common Multiple of the denominators. The LCM of 18 and 4 is 36.

So,

(5/18) = (10/36)

(1/4) = (9/36)

Hope this Helps!!!

Given a right angle triangle:

The hypotenuse of the triangle = 17

The legs of the triangle are the sides 14 and x

We will find x using the Pythagorean theorem as follows:

Solve for x:

So, the answer is the first option

Answer:

first one is right

Step-by-step explanation:

The given Mayan number which is: :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

In order to obtain the decimal equivalent (base 10) of a Mayan numeral, it is imperative to comprehend the positional significance of each constituent symbol.

The numerical system employed here assigns a weight to each digit that corresponds to a certain power of 20. Specifically, the weight associated with the least significant digit is 20 raised to the exponent of 0, while the weight of the digit to its immediate left is 20 raised to the exponent of 1, and so forth.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represent a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represent a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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The hypotheses pair for the test of significance for the given situation is given as:

\(H_0: p \geq 0.25\\H_1: p < 0.25\)

There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.

Null hypothesis is the one which researchers try to disprove.

For the given case, the test is being done to check if there is significance or not.

The null hypothesis would assume that the score is not significantly less than 25%, as null hypothesis stays with nullity or denial of what is being prominently tested, which is the fact that students performed significantly less than 25%

Thus, we get null hypothesis as: \(H_0 : p \geq 25\% = 0.25\) (not significantly less than 0.25, so either proportion is 0.25 or bigger than 0.25)

Alternate hypothesis is the hypothesis statement we want to test, which is the statement that students performed significantly less than 25%.

or

Alternate hypothesis: \(H_1 : p < 0.25\)

Thus, the pair of hypotheses for the given situation is given as:  \(H_0: p \geq 0.25\\H_1: p < 0.25\)

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Answer:

12

Step-by-step explanation:

Its 12 because when you do -16 + - 40.... then -12 you get =12 There you go

Step-by-step explanation:

Solution ,

Firstly we need to understand that

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( - )

( - ) × ( + ) = ( - )

( + ) × ( - ) = ( - )

Question:

- 16 + ( - 12 ) - ( - 40 )

here ( + ) × ( - ) = ( - )

= - 16 - 12 - ( - 40 )

here ( - ) × ( - ) = ( + )

= - 28 + 40

here the ( + ) has greater variable so....

= + 12

hence 12 is the answer....

Answer:

About 95% of the burgers were well done. 57/60 = 95%

In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.

The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.

Then the point has a linear speed of

(1/4 rev/s) * (2π ft/rev) = 2π/4 ft/s = π/2 ft/s

The linear velocity of a point on the edge of the wheel is π/2 feet per second.

In this case, the wheel has a radius of 1 foot and makes 1 revolution in 4 seconds.

The circumference of a circle is given by the formula

C = 2πr, where r is the radius of the circle.

So, the circumference of the wheel is 2π(1) = 2π feet.

Now, the linear velocity of the point on the edge of the wheel is the distance traveled (circumference) divided by the time taken, which is:

Linear velocity = Circumference / Time = 2π feet / 4 seconds

Linear velocity = π/2 feet per second

So, the linear velocity of a point on the edge of the wheel is π/2 feet per second.

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Thus the profit of the manufacturer is 240000$ per month

It is given that a product costing 60 cents per unit to produce had been selling at the average rate of 1,200,000 units per month.

After the product was improved, sales increased to an average of 2,000,000 units per month.

It is also given that the new product cost five percent more to produce.

If the manufacturer's selling price in each instance was 75 cents per unit, We are required to find what was the manufacturer's added profit per month with the newer product.

Cost price is the price which the manufacturer pays for each unit

It is given that the cost price of new version is 5 percent more than the previous one.

Thus, the cost price of each unit of product = 60 cents +5 percent of 60 cents = 60+5/100*60=63 cents

It is also given that selling price of each unit is 75 cents

Profit=selling price- cost price

        = 75-63= 12 cents

Thus, total profit on selling the 2000000 products= 2000000x12cents

Now we know that 100 cents = 1 dollar

Thus the profit in dollars will be = 2000000*12/100=240000

Thus the profit of the manufacturer is 240000$ per month

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Answer:

Alex has a pathetic 4 pencils, everybody laugh at Alex, Lucy supremacy!

Step-by-step explanation:

Probability = # of desired options / # of total options

Our desired option is blue and there are 9 blue marbles in the bag.

There are 32 total marbles (options) in the bag.

P(blue) = 9 / 32 = 0.28125 = 28.125%

Hope this helps!

The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

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Note that the estimated time it will take to cause hearing loss at 106 decibels is 0.0625 hours or 3 minutes, 75 seconds.

The formula used is:


Exposure Time = 8/ 2^((dBA-85)/3)

Since the decibel (dBA) given is 106


Exposure Time = 8/ 2^((106-85)/3)

= 8/2^1
= 8/ 128

= 0.0625 hours or 3 minutes, 75 seconds.

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The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Answer:

23552

Step-by-step explanation:

23, 92, 368...   is a geometric sequence.

first term = a = 23

common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4

nth term = \(ar^n^-^1\)

6th term = \(23*(4)^6^-^1\)

\(=23*4^5\)

\(=23*1024\)

\(=23552\)

Hope this helps :)

Pls brainliest...

Answer:

3 nickels and 5 quarters

Step-by-step explanation:

Let n = number of nickels

q = number of quarters

q = n+2

.25q + .05n = 1.40

Using the first equation and replacing q in the second equation

.25( n+2) + .05n = 1.40

Distribute

.25n+.50 +.05n = 1.40

Combine like terms

.30n +.5 = 1.40

Subtract .5 from each side

.3n +.5-.5 = 1.40-.4

.3n = .9

Divide by .3

.3n/.3 = .9/.3

n = 3

q = n+2

q=5

Step-by-step explanation:

Let the

Nickel coin = x

Quarter coin = y

y = n + 2

0.25y + 0.05x = 1.4

0.25(x + 2) + 0.05x = 1.4

0.25x + 0.5 + 0.05x = 1.4

0.25x + 0.05x = 1.4 - 0.5

0.30x = 0.9

x = 0.9/0.3

x = 3

y = 3 + 2 = 5

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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The mean and standard deviation will change. Because it will not change in this case, the median is a better measure of the center. Given that the value 100 was changed to 15, the value of the mean will decrease because there is now a lower total value. As a result, the standard deviation will be reduced as well. Yes, the median is the better option. This is due to the fact that changing the value of 100 to 15 does not change the value of the median, and thus the previous information would not be changed if the median we used was.

Dividend income and agricultural income are examples of tax exempt incomes.

In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.

The right to have some or all of your income free from your country's taxes is known as a tax exemption. While certain individuals and organizations are completely exempt from paying taxes, the bulk of taxpayers are eligible for a number of exemptions that can be used to reduce their taxable income.

Income that is exempt from taxation is that which is unlikely to be taxed. Dividend income, agricultural income are a few examples.

Therefore, dividend income and agricultural income are examples of tax exempt incomes.

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Answer:

128 customers

Step-by-step explanation:

Brainliest maybe? :)

The GCF for each pair of numbers is: a. 9 and 15 is 3; b. 12 and 18 is 6; c. 15 and 27 is 3; d. 30 and 54 is 6.

To find the Greatest Common Factor (GCF) for each pair of numbers, we can use various methods such as listing factors or prime factorization. I'll demonstrate both approaches for each pair:

a. 9, 15

Listing factors of 9: 1, 3, 9

Listing factors of 15: 1, 3, 5, 15

The common factors are 1 and 3. Therefore, the GCF of 9 and 15 is 3.

Using prime factorization:

Prime factorization of 9: 3^2

Prime factorization of 15: 3 * 5

The common prime factor is 3. Therefore, the GCF of 9 and 15 is 3.

b. 12, 18

Listing factors of 12: 1, 2, 3, 4, 6, 12

Listing factors of 18: 1, 2, 3, 6, 9, 18

The common factors are 1, 2, 3, and 6. Therefore, the GCF of 12 and 18 is 6.

c. 15, 27

Listing factors of 15: 1, 3, 5, 15

Listing factors of 27: 1, 3, 9, 27

The common factors are 1 and 3. Therefore, the GCF of 15 and 27 is 3.

d. 30, 54

Listing factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Listing factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

The common factors are 1, 2, 3, and 6. Therefore, the GCF of 30 and 54 is 6.

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Answer:

7 will be the answer.

Step-by-step explanation:

The angles are complementary angles i.e their sum is 90°.

(5a+3)°+52°=90°

5a+55°=90°

5a=90°-55°

5a=35°

a=35°/5

a=7

all work should be in the picture, lmk if theres anything confusing