solve :
2(3x + 6) = 18

Therefore, Probability of winning the jackpot = number of ways to win the jackpot/total number of possible outcomes= 1/71424= 1/71424 is the answer.

To find the probability of winning the jackpot, we will first determine the total number of possible outcomes.

Let's say that there are a total of 36 numbers from which you can choose two numbers and 16 numbers from which you can select one number.

Therefore, the number of possible outcomes is given by 36C2 * 16 = 71424.

(Number of ways to choose two numbers from 36 multiplied by number of ways to choose one number from 16)

To win the jackpot, you must pick the correct two numbers out of 36 and the correct single number out of 16.

Therefore, the number of ways you can win the jackpot is given by 1 * 1 = 1.

The probability of winning the jackpot is the number of ways to win the jackpot divided by the total number of possible outcomes.

Therefore,Probability of winning the jackpot = number of ways to win the jackpot/total number of possible outcomes= 1/71424= 1/71424 is the answer.

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The probability of winning the jackpot is: 150/20160 = 5/672Answer: 5/672

Given that winning the jackpot in a particular lottery requires that you select the correct two numbers between 1 and 36 and, in a separate drawing you must also select the comed single number between 1 and 16.

We need to find the probability of winning the jackpot.So the probability of winning the jackpot is: Probability of selecting 2 numbers between 1 and 36 = 36C2 (ways of selecting 2 numbers out of 36)Probability of selecting a single number between 1 and 16 = 16C1 (ways of selecting 1 number out of 16)

∴ Probability of winning jackpot = (36C2 × 16C1)Total number of ways of drawing = 36C2 × 16C1 = (36 × 35/2) × 16 = 20160

∴ Probability of winning the jackpot is: 150/20160 = 5/672Answer: 5/672

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a) The probability of the die coming up odd is 0.5,

b) The probability of the die coming up 5 or more is 0.33,

c) The probability of the die coming up at most 2 is 0.33, and

d) The probability of the die coming up 3 is 0.17.

Probability is a branch of mathematics that deals with the likelihood or chance of an event occurring.

a. The event A consists of the odd numbers {1, 3, 5}. Thus, there are three possible outcomes that constitute event A. The probability of the die coming up odd is therefore 3/6 or 1/2, which can be simplified to 0.5 or 50%.

b. The event B consists of the numbers 5 and 6. Thus, there are two possible outcomes that constitute event B. The probability of the die coming up 5 or more is therefore 2/6 or 1/3, which can be simplified to 0.33 or 33.3%.

c. The event C consists of the numbers 1 and 2. Thus, there are two possible outcomes that constitute event C. The probability of the die coming up at most 2 is therefore 2/6 or 1/3, which can be simplified to 0.33 or 33.3%.

d. The event D consists of the number 3. Thus, there is only one possible outcome that constitutes event D. The probability of the die coming up 3 is therefore 1/6, which can be simplified to 0.17 or 16.7%.

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Step-by-step explanation:

the scenario creates 2 similar triangles :

one main triangle with the house height the double floor distance and the double line of sight from the left point on the floor to the top of the house.

and the other triangle is the height of the tree, the single floor (from the left point to the tree) distance, and the single line of sight from the left point on the floor to the top of the tree.

similar triangles means : all angles are the same. and the side lengths of one triangle correlate to the corresponding side lengths in the other triangle by the same multiplication factor.

and that means that the floor distances of small and large triangle have the same ratio, as the view of line distance AND the height sizes.

we see : large triangle side / small triangle side = 2/1 = 2

and therefore, the same factor (2) applies to the heights.

so,

height of house / height of tree = 2

therefore,

height of tree = height of house / 2 = 150/2 = 75 ft

To calculate the mean and standard deviation of the given results for the concentration of lead in a soil sample, use the following formulae:

Mean = (sum of all values) / (total number of values)

Standard deviation = sqrt [(sum of (each value - mean)²) / (total number of values)]

Given values are:23.2 ppm, 20.1 ppm, 24.7 ppm, 19.9 ppm, 21.8 ppm

To find the mean:

Mean = (23.2 + 20.1 + 24.7 + 19.9 + 21.8) / 5

Mean = 21.94 ppm

Therefore, the mean concentration of lead in the soil sample is 21.94 ppm.

To find the standard deviation:

Step 1: Find the mean first.Mean = 21.94 ppm

Step 2: Subtract the mean from each value and square the result.

(23.2 - 21.94)² = 1.5624

(20.1 - 21.94)² = 3.3764

(24.7 - 21.94)² = 7.5729

(19.9 - 21.94)² = 4.1809

(21.8 - 21.94)² = 0.0196

Step 3: Find the sum of all the squared differences:

Sum = 1.5624 + 3.3764 + 7.5729 + 4.1809 + 0.0196

       = 16.7122

Step 4: Divide the sum by the total number of values and take the square root.

Standard deviation = √ [16.7122 / 5]

Standard deviation = √ (3.34244)

Standard deviation = 1.8289

Therefore, the standard deviation of the concentration of lead in the soil sample is 1.8289 ppm.

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The two consecutive integers that the square root of 12 lies between are 3 and 4.

Positive, negative, and zero are all examples of integers. The Latin word "integer" signifies "whole" or "intact." All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. This therefore means that integers can only be whole numbers and consecutive integers follow each other. For instance, 1, 2, and 3 are consecutive integers.

To find the two consecutive integers that the square root of 12 lies between, find the square root of 12 :

= √ 12

= 3.46

This means that the lower integer would be 3 and the consecutive integer following would be 4.

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Dr. Gavin will need to examine four main effects in a 2 x 4 independent-groups factorial design. This is because a factorial design involves two or more independent variables, each of which has two or more levels or conditions.

There are two independent variables in this situation, each having four levels. Dr. Gavin will need to look at the primary effects of each independent variable in order to determine its consequences.

Regardless of the levels of the other independent variables, the major effects are the total impacts of each independent variable on the dependent variable.

In other words, Dr. Gavin must look at each independent variable's effects independently, without taking into account the impact of the other independent variable. He must therefore consider a total of four key consequences.

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Explanation:
First, let's define some terms:

- A function is a rule that assigns each input value to exactly one output value.
- Function notation is a way of representing a function using symbols, usually f(x), where x is the input variable.
- Function composition is when you combine two functions by using the output of one as the input of the other.

Now, for Activities 21 through 24, we need to look at the input and output notation for two functions and determine if they can be combined by function composition.

If they can be combined, we need to:

a. Draw an input/output diagram for the new function.
b. Write a statement for the new function complete with function notation and input and output units and descriptions.

Without knowing the specific functions and their input and output notation, it's difficult for me to provide a more detailed answer. However, I can say that if the two functions have compatible input and output types (i.e. the output of one can be used as the input of the other), then they can likely be combined by function composition.

Once we have determined that the functions can be combined, we would follow the steps outlined above to create the new function notation and diagram.

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The average distance from a point on a disk in ℝ² of radius r centered at the origin to the center is 2r/π.

To calculate the average distance, we need to integrate the distance function over the disk and divide it by the area of the disk. The distance function from a point (x, y) on the disk to the origin is given by d = √(x² + y²). Since the disk is centered at the origin, we can rewrite this as d = √(r²) = r.

Integrating this distance function over the disk involves integrating from 0 to 2π for the angle θ and from 0 to r for the radius ρ. Thus, the integral becomes ∫₀²π ∫₀ʳ r ρ dρ dθ.

Evaluating this integral gives us (2πr²)/2πr² = 1, which represents the total area of the disk. Therefore, the average distance is given by (2r/π) × (1/1) = 2r/π.

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Answer: angle 1 = 36°

              angle 2 = 72°

Step-by-step explanation: As it is decagon with 10 sides so sum of all angles is 1440°

Answer: the first one since they can start at -7/10 and count up 4 and find out that the answer is -3/10 on the number line!!

Step-by-step explanation:

Answer:

Karen jogged 2.32 kilometers more than Morgan.

Step-by-step explanation:

Calculate the difference:

53.52 - 51.2 = 2.32

Answer:

2.32 km

Step-by-step explanation:

Take the amount that Karen jogged and subtract the amount that Morgan jogged

53.52 - 51.2

2.32

The cost of each bag of flour is $ 18.85 and the cost of each bag of $ 25.7 which a wholesale food supplier charges for each bag of flour and for each bag of sugar.

Given that:

The cost of each bag of flour = x dollars

The cost of each bag of sugar = y dollars

Bakery A purchases seven bags of flour and five bags of sugar for a total cost of $260.45.

Bakery B purchases five bags of flour and three bags of sugar for a total cost of $171.35.

Making equation from both the above statements. We get,

7x + 5y = 260.45 ...... (1)

5x + 3 y = 171.35 ....... (2)

Multiplying equation (1) by 5 and equation (2) by 7. We get the value,

35x + 25y = 1302.25 ....... (3)

35x + 21y = 1199.45 ........ (4)

Subtracting equation (4) from (3). We get,

4y = 102.80

=> y = $ 25.70

Putting the value of y in equation (1). We get,

7x + 25.70 x 5 = 260.45

7x = 260.45 - 128.5

7x = 131.95/7

=> x = $ 18.85

Hence, we can say that a wholesale food supplier charges 18.85 dollars for each bag of flour and 25.7 dollars for each bag of sugar.

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Answer:

18cm

Step-by-step explanation:

Find the image to the question attached.

From the ruler, we are to find the distance between R and S i.e RS

From the ruler, R is on 8 and S is on 26.

Initial point R = 8

Final point S = 26

Length of RS = Final point S - initial point R

RS = 26 - 8

RS = 18

Hence the length of RS is 18cm

Answer:

513.25  or 0.001

How i got the answer:

As we  that 06 + 4 = 10. 10 is not divisible by 8. It means that 4106 is also not divisible by 8. The correct answer will be 4106 divided by 8 is 513.25.

If you asking only 8 divided by 4106 the answer is 0.00194836824. In short form it is 0.001.

If you asking if 8 is divisible by 4106 the answer is 513.25. Steps are added above.

Answer: 513.25  or 0.001

Please mark me brainliest

Hope this helps.

answer is 8/4106 or 0.002

Just follow the rules for multiplication and keep going till the end

Answer:

1/4 is the simplified fraction for 12/48.

Answer:

2.4 feet

Step-by-step explanation:

\( \frac{5}{6} w = 2\)

\(w = 2 \times \frac{6}{5} = \frac{12}{5} = 2.4\)

Answer:

0

Step-by-step explanation:

The total ways of selecting 6 numbers in 175223510 Ways.

A permutation is an grouping or the combination of items that is drawn from a set of which the placement or an arrangement of the given objects is significant. In the other terms, an arrangement of the items in the specific order is a permutation.

Total number of White balls = 59

Total number of red balls = 35

Way of choosing 5 white balls = ⁵⁹C₅

= \(\frac{59!}{54! 5!}\)

=5006386 ways

Way of choosing 1 red ball = ³⁵C₁

=35 ways

Hence Total ways would be =

5006386 * 35 = 175223510 Ways

Hence the total ways of selecting 6 numbers in 175223510 Ways.

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Answer:

−7

Step-by-step explanation:

Answer:

Let's solve your inequality step-by-step.

3(−4+x)<−33

Step 1: Simplify both sides of the inequality.

3x−12<−33

Step 2: Add 12 to both sides.

3x−12+12<−33+12

3x<−21

Step 3: Divide both sides by 3.

3x/3  < −21  /3

x<−7

Answer:

x<−7

Step-by-step explanation:

Answer:

-10.7°C

Step-by-step explanation:

The change in the temperature is the difference between the initial  temperature and the final temperature. Let the initial temperature be T1 and the final be T2 then the change in temperature will be

= T2 - T1

Hence

-14.2 = T2 - 3.5

T2 = -14.2 + 3.5

= - 10.7°C

The temperature of the mixture after it cools is -10.7°C

Answer:

m= 18g

Step-by-step explanation:

m = 18 × g

Answer:

1) 7x

2)3/7 x

3)x(10+x)

4)80-(13x)

Step-by-step explanation:

its pretty self explainable!

basically everytime it says a number replace that with x and make it into an equation!

Answer:

it would be A

Step-by-step explanation:

because the line is on the x axis and it is below the origin so it is negetive

The equilibrium price of widgets in this market is $65 per unit, and the equilibrium quantity is 407 units.

The market demand for widgets is given by the equation Q = 1297 - 14p, where p is the price of widgets and Q is the quantity demanded. The market supply of widgets is given by the equation Q = -3 + 6p, where Q is the quantity supplied.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied:

1297 - 14p = -3 + 6p

Solving for p, we get:

20p = 1300

p = 65

So the equilibrium price of widgets is $65 per unit. To find the equilibrium quantity, we substitute this price into either the demand or supply equation:

Q = 1297 - 14(65) = 407

Therefore, the equilibrium quantity of widgets is 407 units.

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The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).

The slope-intercept formula is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation in the question

2x - y = -3

First, we solve form for y and reorder in slope intercept form.

2x - y = -3

Subtract 2x from both sides

2x - 2x- y = -3 - 2x

- y = -3 - 2x

Divide each term by -1

y = 3 + 2x

Reorder in slope intercept form

y = 2x + 3

To find the y-intercept, replace x with zero and solve for y

y = 2(0) + 3

y = 3

Therefore, the y-intercept is 3.

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Answer:

its E 21

Step-by-step explanation:

The domain of a logarithm function is (0, ∞). The range of the logarithm function is all real numbers.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The given function is f(x) = log x.

When the value of x is less than or equal to 0, then the value of log x is undefined.

The possible value of x where f(x) exists is the domain of a function.

In the given function the value of x must be greater than zero.

The domain of the function is (0,∞).

log (0.1) = -1

log (0.023) = -1.638

The value of log x can be any real number.

The possible value of the logarithm function is any real number. Thus the range of the function is (-∞, ∞).

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Answer: 2014 was a great year for my family

Step-by-step explanation:

2014; my family came together that year

2015; my family fell apart that year

Answer:

$01.70

Step-by-step explanation:

Answer:

it will cost 170 $ total ....