Game dice for a particular child’s game are numbered 1-10 what is the likehood of rolling a single one and ending up with an even number

The number of years it would it take for there to be one person for every square yard is 108,325.68 years.

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years

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This necklace sold at auction for $11,379,600 in 2011. The percentage of the initial purchase price was represented by the auction price is 2.1%.

Given that,

For $54,000, an actor purchased a pearl, diamond, and ruby necklace for his well-known wife. This necklace sold at auction for $11,379,600 in 2011.

We have to find what percentage of the initial purchase price was represented by the auction price.

Let us take the percentage as x%.

Necklace sold at auction=the percentage multiplied by the actual price

We get,

$11,379,600 =x%($54,000)

x%=$11,379,600/$54,000

x%=2.1%

Therefore, the percentage of the initial purchase price was represented by the auction price is 2.1%.

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As a result, 368.96 pints of demand are anticipated using exponential smoothing for the week of October 12.

The number of pints of blood used over the previous three weeks must be added together and divided by three in order to predict the demand for the week of October 12 using a 3-week moving average.

Week of:               Pints Used: Moving Average:

August 31              360                   -

September 7              389                 -

September 14         410             386.3

September 21               381             393.3

September 28       368             386.3

October 5                374               374.3

Hence, using a 3-week moving average, the predicted demand for the week of October 12 is 376.3 pints.

b. To forecast the demand using a 3-week weighted moving average, we must multiply the pints of blood that were used during the previous three weeks by their respective weights, add them all up, and divide by the total weights.

Week of:   Pints Used:  Weighted Average:

August 31    360              -

September 7    389              -

September 14     410        (0.1 * 360) + (0.3 * 389) + (0.6 * 410) = 401.1

September 21    381        (0.1 * 389) + (0.3 * 410) + (0.6 * 381) = 386.9

September 28   368        (0.1 * 410) + (0.3 * 381) + (0.6 * 368) = 373.9

October 5     374          (0.1 * 381) + (0.3 * 368) + (0.6 * 374) = 374.1

Thus, using a 3-week weighted moving average, the predicted demand for the week of October 12 is 377.4 pints.

c. Using exponential smoothing and a forecast for August 31 of 360 and a = 0.2, we may predict demand for the week of October 12 by using the following formula:

Prediction for October 5 is 365.2 because 360 + 0.2 * (374 - 360)

Forecast for October 12: 365.2-plus-0.2*(374-365.2)=368.96

As a result, 368.96 pints of demand are anticipated using exponential smoothing for the week of October 12.

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The value of x in chords is 25.857 and this is a isosceles triangle.

In geometry, a chord is a line segment that connects two points on the circumference of a circle. A chord is the longest distance between two points on a circle, and it passes through the center of the circle. The endpoints of a chord are referred to as its "endpoints." A chord that passes through the center of a circle is called the "diameter" of the circle. The length of a chord can be calculated using the Pythagorean theorem, given the radius and the distance between the center and the chord. Chords are used in various geometric calculations involving circles, such as finding the area of a sector or segment of a circle.

The sum of the angles of a triangle is 180 degrees. In a circle, the angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at any point on the circumference. Using these facts, we can set up the following equation to find x:

(1/2)(14x - 7) + (1/2)(12x + 4) + (1/2)(4x) = 180

Simplifying and solving for x, we get:

7x - 1 = 180

7x = 181

x = 25.857

Therefore, x is approximately equal to 25.857.

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nearest tenth = 0.2

2/9 is in its simplest form.

Hence, we use a calculator to find the fraction in decimal

2/9 = 0.2222 (a repeating decimal)

0.2222 to the nearest tenth = 0.2

Answer:

Step-by-step explanation:

2/9 as a decimal is 0.2222

Answer:

(4x-3y)(4x+3y)

Step-by-step explanation:

This is a difference of squares equation. As it says, (\(x^{2} -y^2\)) is equal to (x-y)(x+y)

Simply apply the formula to your numbers, \(16x^{2} -9y^2\).

It gives the hint of \(16x^{2}\) is equal to (4x)^2. and, 9y^2 is equal to (3y)^2, since if you square 4x and 9y, they get 16x^2 and 9y^2 respectively.

Now, you need to do (4x-3y)(4x+3y)

Hope this helps

We need to simplify the following expression

We first group the similar terms, they are the first and the third one

then we use common factor to take out the m^3 of the parenthesis

Answer:

a.) P(HH|C)=2/5

Explanation:

Given following:

Solving steps:

\(\sf P(HH|C) = \dfrac{P(HH \cap C) }{P(C)}\)

\(\sf P(HH|C) = \dfrac{4 }{10}\)

\(\sf P(HH|C) = \dfrac{2 }{5}\)

Answer:

x = 18

Step-by-step explanation:

4(18) = 72

2(18) - 10 = 26

4(18) + 10 = 82

72 + 26 + 82 = 180

Answer:

y-9=6(x+1)

Step-by-step explanation:

a) There are 16 possible outcomes.

b) The probability that exactly two heads occur is 37.5%

c) The probability that exactly one head occurs is 25%

We toss a coin 4 times, each with two possible outcomes: heads and tails.

Use the multiplication rule:

2×2×2×2= 16

Thus there are 16 possible outcomes.

Let us first list all 16 possible outcomes.

abcd represents a possible outcome with a the outcome of the first toss, b the outcome of the second toss, c the outcome of the third toss, and d the outcome of the fourth toss.

Let H be heads and T be tails.

{HHHH, HHHT,HHTH ,HHTT ,HTHH ,HTHT,HTTH,HTTT, THHH,THHT,THTH,THTT,TTHH,TTHT,TTTH,TTTT }

​We are interested in the outcomes that have exactly two heads:

HHTT,HTHT,HTTH,THHT,THTH,TTHH

We then note that 6 of the 16 possible outcomes contain exactly two heads.

The probability is the number of favorable outcomes divided by the number of possible outcomes:

P =6/16=3/8=0.375= 37.5%

We are interested in the outcomes that have exactly one head:

HTTT, THTT, TTHT, TTTH

We then note that 4 of the 16 possible outcomes contain exactly one head.

The probability is the number of favorable outcomes divided by the number of possible outcomes:

P =4/16=1/4=0.25= 25%

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Answer:

Circumference=78.5inches

Step-by-step explanation:

\(Solution,\\Diameter=25 inches\\Now,\\Circumference=\pi d\\Circumference=3.14*25inches=78.5inches\)

Answer:

\( \star \: \red{circumference _{(circle)} = \pi \: d}\)

\( \star \: \red{circumference _{(circle)} = 3.14 \times 25 inches}\)

\(\star \: \red{circumference _{(circle)} = 78.5 inches}\)

\(\blue{\frak{saraaaaaaaaahhhh}}\)

Answer:

x ≈ 2.5

Step-by-step explanation:

Use tan∅ to solve this problem:

tan23° = x/6

x(tan23°) = x

x = 2.54685

The speed of the plane is equal to 120 mph.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Time = distance/speed

Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;

240/s = 80/s - 80

80s = 240s - 19200

19200 = 160s

s = 19200/160

s = 120 mph.

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9514 1404 393

Answer:

  56

Step-by-step explanation:

We are given ...

  mangoes : oranges = 2 : 5

Then the ratio we want is ...

  (mangoes +oranges) : oranges = (2 +5) : 5 = 7 : 5

The total number of fruits in the basket is ...

  (7/5)(40) = 56 . . . mangoes + oranges in the basket

Answer:

1) x = -6, 8

2) x = -1 + i√2

Step-by-step explanation:

1)

\( {x}^{2} - 2x - 48 = 0\)

\((x - 8)(x + 6) = 0\)

x = -6, 8

2)

\(3 {x}^{2} + 2x + 1 = 0\)

x = (-2 + √(2^2 - 4(3)(1))) / (2 × 1)

x = (-2 + √(4-12)) / 2

x = (-2 + √-8) / 2

x = (-2 + 2i√2) / 2

x = -1 + i√2

Answer: The answer is 9+11s :)

Step-by-step explanation:

Combine like terms

9+18s-7s

9=11s  so I don't what you mean but in case you want to find  s it will be

11  11

S=9/11

Answer:

a

Step-by-step explanatio

The location which is in the region for plants receiving the maximum amount of water is "(-3,-1)". The Option A is correct.

Water flows into the open pore spaces in the soil by gravity, and the size and spacing of the soil particles determine how much water can flow in. Because coarse soils have larger pore spacing at the soil surface, they have a higher infiltration rate than fine soils.

Based on the graph, we observed that the point of location in which is in the region for plants receiving the maximum amount of water is the point (-3,-1). Therefore, we agree that Option A is correct.

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An inequality to represent the cost of Jason’s food for the party is

An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is

The two options for buying wings and hot dogs include the following:

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:

Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;

7x + 5y ≤ 40

Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;

y ≥ 5

Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.

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1) This is a Two tailed Test.

2) Decision rule is; If the p-value is greater than 4% fail to reject H₀.

3) P-value = 0.00968764 and so we reject H₀

We are given the hypothesis as;

Null Hypothesis; H₀: m₁ = m₂

Alternative Hypothesis; H₁: m₁ ≠ m₂

1) Since the alternative hypothesis has "not equal to sign", then it is a two tailed test.

2) Since we are told to use significance level as 0.04, then we can say that the decision rule is;

If the p-value is greater than 4% fail to reject H₀.

3) Using a 2-Sample Z-Test online TI calculator gives the test statistic as;

z = 2.5868

4) From z-score calculator, p-value equals 0.00968764. This is less than 0.04 and as such the decision regarding H₀ is to reject H₀.

5) P-value = 0.00968764

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Given:

To find the real zero and its multiplicity:

Let the function equals to zero we get,

Hence, the real zeros are -7 and 5.

The zero -7, multiplicity 1, crosses the x axis.

The zero 5, multiplicity 2, touches the x axis.

Hence, the correct option is the first one.

A 95% confidence interval for the difference of the meantime that the customers stayed for lunch and for dinner the correct option is option a (3.35, 16.65).

Given:

The number of random customers n1 = 25

The number of random customers n2 = 30

x1 = 45, x2 = 55

σx1 = 10, σx2 = 15

Zα12 = Z0.025 = 1.96

95% confidence interval,

= {(x2-x1) ± Zα12 [(σx1)^2/n1 + (σx2)^2/n2]^0.5}

= {(55-45)  ± 1.96 [\(10^{2}\)/25 + \(15^{2}\)/30]^0.5}

= {10 ± 1.96(4 + 7.5)^0.5}

= {10 ± 1.96(11.5^0.5)}

= {10 ± 1.96(3.3911)}

= {10 ± 6.6466}

=> (10-6.6466, 10 + 6.6466)

=> (3.35, 16.65)

So, the correct option is a (3.35, 16.65) for the difference of the meantime.

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The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

In a geometric sequence,

The third term is 100 and the eighth term is 3.125.

Now,

We know that;

The nth term of geometric sequence is,

⇒ \(T_{n} = a r^{n - 1}\)

Hence, The third term is;

⇒ \(T_{3} = a r^{3 - 1} = 100\)

⇒ \(a r^{2} = 100\)   ..(i)

And, The eighth term is,

⇒ \(T_{8} = a r^{8 - 1} = 3.125\)

⇒ \(a r^{7} = 3.125\)   ..(ii)

Divide equation (ii) by (i), we get;

⇒ ar⁷ / ar² = 3.125/100

⇒ r⁷ / r² = 3125 / 100000

⇒ r⁷⁻² = 3125 / 100000

⇒ r⁵ = 3125 / 100000

⇒ r = 5/10

Thus, The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

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The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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Answer:

Step-by-step explanation:

Domain means all the x's on the graph. The x's that you can literally see on the graph and for what you can't see it's all the x's you can put into the equation...for this graph, when you reflect it across the x-axis it is still the same shape, just a peak instead of a V. So the y's (range) are VERY different on the graph and its reflection. But the x's (that's the domain!) Are all still there, still on the graph, still allowed in the equation. See image

The domain of the function are all real numbers greater than or equal to 0.

Domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

If the graph is reflected over the x-axis, then we need to find domain of the function.

Domain means all the x values on the graph. The x values  that you can literally see on the graph and for what you can't see it's all the x values  you can put into the equation...for this graph.

when you reflect it across the x-axis it is still the same shape, just a peak instead of a V.

So the y values  (range) are VERY different on the graph and its reflection.

Therefore, The domain of the function are all real numbers greater than or equal to 0.

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Answer:

1/36

Step-by-step explanation:

(1,2,3,4,5,6) sides on a dice there is a 1/6 probability u can roll a 6

Answer:

Step-by-step explanation:

Determine the number of solutions for each of the equations below. Be sure to

justify your conclusions. *

(z – 8)2 = -1

A. one solution

B. infinitely many solutions

C.no solution

D. x = 9

Given the expression;

(z – 8)^2 = -1

we are to find the nature of the solution;

Take the square root of both sides

(z – 8)^2 = -1

√(z – 8)^2 = √-1

z- 8 = √-1

Note that √-1 will give a complex number i to have;

z = 8 ± i

This therefore shows that the equation has no real solution.