Find the least common denominator (LCD) of 1/30 and 9/20

If we assume that the marbles are equally likely to be picked, then the probability of picking an orange marble is 1/3.

The number of times an orange marble is picked in 12 trials follows a binomial distribution with parameters n = 12 and p = 1/3.

The expected value of the number of orange marbles picked is given by:

E(X) = np = 12 * (1/3) = 4

Therefore, the best prediction possible for the number of times an orange marble will be picked is 4.

Answer:

The probability of selecting either a purple or a blue marble for the 6 marbles is 0.3333 or 33.33%

Step-by-step explanation:

please mark brainliest

Answer:

Amount invested at 4% is $16,000

Amount invested at 9% is  $6,000

Step-by-step explanation:

Let one vestment be x

if total investment is $22,000 then

other investment will  $22,000 - x

simple interest earned in any year is given by

SI = p*r*t/100

where SI is the interest earned

t is the time period of investment

r is the rate of annual interest

_____________________________________

interest on one account 4%

p = x

t = 1 year

SI = x*4*1/100 = 4x/100

_____________________________

interest on one account 9%

p = 22,000 - x

t = 1 year

SI = (22,000 - x)*9*1/100 = (198000 - 9x)/100

_____________________________________

it is given that total interest earned was $1180

thus sum of SI calculated for the 9% and 4% investment will be equal to 1180

4x/100 +  (198000 - 9x)/100 = 1180

=> (4x+198000 - 9x)/100 = 1180

=> 198000 - 5x = 1180*100

=> -5x = 118,000 - 198000

=> -5x = -80,000

=> x = -80,000/-5 = 16,000

Thus,

Amount invested at 4% is $16,000

Amount invested at 9% is $(22,000 - 16,000) = $6,000

Answer:

y=-2x+15

Step-by-step explanation

A perpendicular line always has the opposite reciprocal slope of the line it is 90 degrees from.

Since the slope of the other line is 1/2, the slope of this line must be -2. And with the slope of a line -2 with point (4,7), you can start plugging in numbers.

y=-2x+b

7= -2(4)+b

7= -8+b

15=b

Therefore, the equation of the line is y=-2x+15

The specified distances of the planets from the Sun are and the scaled distances, obtained  by using a scale factor of 1,000,000 kilometers to 1 centimeter presented as follows;

Planet \({}\)              Average Distance From the Sun (km)  Scale Dist (cm)

Mercury       46,001,000  \({}\)                                                  46.001

Venus         \({}\) 108,930,000                                                 108.93

Earth         \({}\)   147,100,000 \({}\)                                                  147.1

Mars         \({}\)    235,750,000                                                 235.75

Jupiter         740,730                                                          740.73

Saturn     \({}\)     1.4694 billion         \({}\)                                        1,469.4

Uranus\({}\)         2.9415 billion         \({}\)                                       2,941.5

Neptune \({}\)     4.4736 billion         \({}\)                                       4,473.6

A scale factor is a value by which a measure is multiplied to get a scaled value of the measurement.

The average distance can be obtained by multiplying the scaled distances by 1,000,000 as follows;

Average actual distance of Mercury from the Sun = 46.001 cm × 1000,000 = 46,000,000 km

Average actual distance of Venus from the Sun = 108.93 × 1000,000 = 108,930,000 km

Actual distance of the Earth from the Sun = 147.1 × 1000,000 = 147,100,000 km

Actual distance of Mars from the Sun = 235.75 × 1,000,000 = 235,750,000 km

Actual distance of Venus from the Sun = 740.73 × 1,000,000 = 740,730,000 km

The scaled distance can  be obtained by dividing the actual distances by 1,000,000 as follows;

Scale distance of Saturn from the Sun = 1.4694  billion ÷ 1,000,000 = 1,469.4 cm

Scale distance of Uranus from the Sun = 2.9415 billion ÷ 1,000,000 = 2,941.5 cm

Scale distance of Neptune from the Sun = 4.4736 billion ÷ 1,000,000 = 4,473.6 cm

The table can be completed using the above calculated responses as shown in the response section above

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By answering the presented question, we may conclude that Therefore, the solution set to the equation f(x) = 0 is {0}.

In mathematics, a function seems to be a link between two sets of numbers in which each member of the first set (known as the domain) corresponds to a specific member of the second set (called the range). In other words, a function takes input from one collection and creates output from another. The variable x has frequently been used to represent inputs, whereas the variable y has been used to represent outputs. A formula or a graph can be used to represent a function. For example, the formula y = 2x + 1 depicts a functional form in which each value of x generates a unique value of y.

the equation:

\(3x^2 + x^2 = 0\\4x^2 = 0\\x^2 = 0\\x = 0\)

Therefore, the solution set to the equation f(x) = 0 is {0}.

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There are 40 rows with 53 seats in each row.

This auditorium is divided into rows of seats, and because it is rectangular, each row has the same number of seats.

So,

Therefore, there are 40 rows with 53 seats in each row because we can't have a negative number of rows.

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Therefore , the solution of the given problem of linear equation comes out to be total amount collected is $4956.

The foundation for a linear regression curve is the equation y=mx+b. B is the slope, and m is the y-intercept. The previous sentence is sometimes referred as a "mathematical equation involving two variables," even though that y or y are separate components. Two variables make up bivariate linear equations. There are no known solutions to application issues involving linear equations. Y=mx+b is the equation for a single set of equations.

Here,

Given :

Pupil : price per ticket is $8

teacher :  price per ticket is $20

Thus ,

Let the x be the total amount of teacher is :

So,

Pupil collected 416$ more than teachers total amount is :

Pupil total amount = 416 + x

So,

Total tickets sold is 1/4 of the ticket sold :

=> 1/4y * 20 = x

=> 5  = x/y

=>x = 5y

So,

=> 416 + 5y = 3/4 * 8 y

=> 416 + 5y = 6y

=> y = 516 tickets were sold

Thus ,

=> 1/4 * 516 =  129

=> 129 * 20 = 2580

For pupil is :

=> (516 -219) * 8

=> 2376

Total amount collected is => 2580 + 2376 = 4956

Therefore , the solution of the given problem of linear equation comes out to be total amount collected is $4956.

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Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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Using the normal distribution, it is found that 84 people would be expected to have BP > 160.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Researching the problem on the internet, the mean and the standard deviation for the BPs are given, respectively, by:

\(\mu = 122, \sigma = 22\).

The proportion of adults with BP > 160 is given by one subtracted by the p-value of Z when X = 160, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{160 - 122}{22}\)

Z = 1.73

Z = 1.73 has a p-value of 0.9582.

1 - 0.9582 = 0.0418.

Out of 2000 people:

0.0418 x 2000 = 83.6.

Rounding to the nearest integer, 84 people would be expected to have BP > 160.

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Answer:

36°

Step-by-step explanation:

From the question,

The sum of the exterior angle of a polygon = 360

From the diagram. the polygon is Decagon

Note: A Decagon is a polygon with 10 sides.

number of sides = 10 .

The exterior angle of a regular polygon = sum of the exterior angle/number of sides.

Exterior angle = 360/10

Exterior angle = 36°

Hence the measure the single extrior angle = 36°

Answer:

Answer one= 6

Step-by-step explanation:

Problem #1

30 divided by 6 is 6

and 48 divided by 6 is 8

so she/ he  can only make 6 full ones

Answer:

the second,4th and 5th,happy to help :W

Step-by-step explanation:

Answer:

3x + 7

Explanation:

The initial expression is:

4x + 7 - x

To find an equivalent expression, we need to identify the like terms.

Then, 4x and -x are like terms because they have the same variable x.

It means that we can add those terms, so we get:

4x + 7 - x = (4x - x) + 7

= 3x + 7

Therefore, an equivalent expression is:

3x + 7

Answer:

...

Step-by-step explanation:

To find the number of calories Davis burns while running for 30 minutes, we can use the information that he burns 1080 calories running for 2.5 hours.

We know that 30 minutes is 1/120 of 2.5 hours. So, we can divide the total number of calories by 120 and we get the calorie burn for 30 minutes:

1080 calories / 120 = 9 calories

The number of calories Davis burns while swimming for 30 minutes can be determined by using the equation y = 266x, where x represents the number of hours he swims. We know that he swims for 30 minutes, or 1/120 hours, so we can plug that value into the equation:

y = 266(1/120) = 2.216 calories

So, Davis burns 7 calories more running for 30 minutes than swimming for 30 minutes, assuming the rates remain constant.

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

2058

Step-by-step explanation:

Answer:

It would be 27.328  but since it is money, we have to leave the 8 out.

So the answer is 27.32

Step-by-step explanation:

Answer:

$27.33

Step-by-step explanation:

You multiply 12.2 and 2.24 and the answer is 27.328. You then round it to the nearest tenth which is 27.33.

Answer:

False

Step-by-step explanation:

The circumference of the given circle is 41 cm

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The circumference of a circle is the boundary length of the circle, it is basically the perimeter of the circle, in degree measure it can not exceed by 360°

Given that, a circle, with diameter, 13 cm, we need to find it circumference.

We know that, the circumference of a circle is given by,

Circumference of the circle = π × diameter

= 3.14 × 13

= 40.82

≈ 41 cm

Hence, the circumference of the given circle is 41 cm

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Answer:

x = 20

Step-by-step explanation:

We know that the vertically opposite angles are equal.

Accordingly,

41 = 2x + 1

Subtract 1 from both sides.

41 - 1 = 2x

40 = 2x

Divide both sides by 2.

x = 20

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

$40

Step-by-step explanation:

If something is 20% off divide the number by 5 then take that number and minus it from the original number

For example

50 ÷ 5 =10

50 - 10 = 40

I hope this helps!

Answer:

1x,5y

Step-by-step explanation:

On solving the provided question related to rectangle we can say that the Perimeter, P = 2(10+20); P = 60 cm

The formula for the perimeter of a rectangle is, P = length + breadth + length + breadth The perimeter of a shape is always calculated by adding up the length of each of the sides. To find the perimeter of a rectangle, we add the lengths of all four sides. Since opposite sides of a rectangle are always equal, we need to find the dimensions of length and width to find the perimeter of a rectangle. We can write the perimeter of the rectangle as twice the sum of its length and width.

In order to find the perimeter, or distance around the rectangle, we need to add up all four side lengths.

This can be done efficiently by simply adding the length and the width, and then multiplying this sum by two since there are two of each side length. Perimeter=(length+width)×2 is the formula for perimeter

here,

we have length, L = 10

and breadth, B = 20

Perimeter, P = 2(10+20)

P = 60 cm

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Answer:

16

Step-by-step explanation:

6+10 (TOTAL) is another word to compromise addition. So 6+10 = 16 cheonman- eyo

Answer:

x=113

Step-by-step explanation:

because 95 + 84 + 68 is 247 360 - 247 = 113

The price of the refrigerators that is the median for the first half of the data is $498.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

The prices arranged in ascending order is: $379, $498, $619, $777, $895, $1052, $1256

The first half of the prices are $379, $498, $619,

Median = $498

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