1. Before you toss the coin, use theoretical probability to determine the probability of
the coin landing heads up and the probability of the coin landing heads down.
P(H) =
=
P(T) =

Answer:

D.10

s

Step by step explanation:

sana makatulong

Answer:

see below

Step-by-step explanation:

We want to solve each equation for y, so y must be alone on one side of the equation.

a) 10x + 5y = 20

Subtract 10x from both sides.

5y = 20 - 10x

Place the x term in front to follow  y = mx + b form.

5y = -10x + 20

We want to isolate y completely, so divide both sides by 5. On the right side, be sure to divide each component by 5.

5y/5 = -10/5x + 20/5

y = -2x + 4

This equation is in slope-intercept form.

b) 3x - 2y = 10 + 4x

We can see that y is negative in this original equation. Let's add 2y to both sides to make y positive.

3x = 10 + 4x + 2y

Now we want to isolate y, so subtract 4x from both sides.

3x - 4x = 10 + 2y

Simplify.

-x = 10 + 2y

Isolate y further by subtracting 10 from both sides.

-x - 10 = 2y

Again, we want to isolate y completely, so divide both sides by 2. On the left side, be sure to divide each component by 2.

-x/2 - 10/2 = 2y/2

-1/2x - 5 = y

This looks backwards (although it is in slope-intercept form), so let's rearrange it just to make it more clear.

y = -1/2x - 5

This equation is in slope-intercept form.

Hope this helps!

The value of a makes quadrilateral tuvw a parallelogram is 1.

What is the quadrilateral bisect?

If a quadrilateral is a parallelogram, then its diagonals bisect each other. If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

It should be noted that a quadrilateral simply means a four sides polygon that has four edges and four vertices, when the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram

We have,

tx=13a and vx=a+12,

To find the value of a that makes quadrilateral tuvw a parallelogram.

As the diagonal of quadrilateral bisects each other:

tx = vx

13a = a+12,

13a - a  = 12

a  = 12/12

a = 1,

Hence, the value of a makes quadrilateral tuvw a parallelogram is 1.

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Answer:

Move right 3, down 1

Step-by-step explanation:

^^^

Answer:

113+67=180

53+127=180

Answer:

D ≈ 7,930.25

Step-by-step explanation:

The circumference is Dπ

\(\frac{24901}{\pi } =D\)

D ≈ 7,930.25

Given:

Dimensions of a rectangular prism are 6 meters by 3 meters by 12 meters.

To find:

The surface area of the prism.

Solution:

The surface area of a rectangular prism is:

\(A=2(lb+bh+hl)\)

Where, l is length, b is breadth and h is height.

Putting \(l=6,b=3,h=12\), we get

\(A=2(6\times 3+3\times 12+12\times 6)\)

\(A=2(18+36+72)\)

\(A=2(126)\)

\(A=252\)

Therefore, the surface area of the prism is 252 square meters.

Answer:

Multiply the number of squares total available by 40 and divide by 100.

The answer will represent the number of squares to be shaded.

Step-by-step explanation:

Multiply the number of squares total available by 40 and divide by 100.

The answer will represent the number of squares to be shaded.

If there are 10 squares, multiply 10 by 40%

10 * 40 / 100

=4 squares

4 squares will be shaded if there are 10 squares in total available.

Answer:

t = 7.875 seconds

Step-by-step explanation:

Comment

The formula itself gives you the answer almost directly.

Givens

S(t) = 217 feet

a = - 16

b = 12

Formula

S(t) = - 16t^2 + 126t

0 = -16t^2 + 126t - 217

Solution

You must use the formula for solving a quadratic.

t = (-b +/- (√b^2 - 4*ac)/2a               Substitute the gives into the quadratic formula

t = (-126 +/- √126^2 - 4(-16)(-217) )

t = (-126 +/- √15876) 2*-16

t = (-126 +/- 126) / 2* - 16

There are 2 values for t.                  One is not usable.

t = (-126 + 126)/-32 = 0

so t = 0 so that's impossible

t =  - 252 / - 32                                Combined -126 and - 126

t = 7.875 seconds.

After 7.875 seconds, the ball has gone up 217 feet. The reason you are getting only one answer is likely that you are getting the going up distance. But after the ball has reached its highest point if may have the going down distance = 217 feet from the ground. The formula does not provide it however.                          

Answer:

As hypotenuse is 12 cm, the shortest leg will be 6 cm while the longer leg will be 6√3 cm. All triangles of 30:60:90 are similar triangles; infinite such similar triangles are possible.

In the context of ideal gas behavior, the most ideal conditions for the parameters pressure (P), temperature (T), and number of moles (n) depend on the specific situation or application. However, I can provide general insights for each parameter.

1. Low pressure (P): Ideal gas behavior is best approximated when the pressure is low. This is because the gas molecules have more space to move around, minimizing their interactions with each other and making their behavior more predictable.

2. High temperature (T): Ideal gas behavior is more accurate at higher temperatures because the gas molecules have more kinetic energy. This allows them to move more freely, reducing the influence of intermolecular forces that can deviate the gas from ideal behavior.

3. High number of moles (n): Having a high number of moles means there are more gas molecules present. This generally improves the accuracy of ideal gas predictions because the behavior of individual molecules tends to average out, leading to more predictable and consistent results.

Considering these factors, the most ideal conditions for P, T, and n are low pressure, high temperature, and high number of moles, respectively. This corresponds to the option: low P, high T, and high n.

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It necessary to apply the finite population correction factor (FPC) when a sample is a significant part of the population because for more than 5% of finite population the standard error in the estimated value will come to be too big.

The formula of FPC is

FPC =\(\sqrt{ (N-n)/(N-1)}\)

where N= population size

           n= sample size

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Population having expression Pn+1 = 1.04(Pn - G), there were approximately 220,863 moose in Alaska at the beginning of 2017.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, variables, and operators that represents a mathematical quantity or relationship. Expressions can be composed of numbers, variables, and operators such as addition, subtraction, multiplication, division, and exponentiation.

Now,

We are given that:

At the beginning of 2015 (n = 0), P0 = 200,000

At the beginning of 2016 (n = 1), P1 = 200,720

The formula for calculating the number of moose at the start of the following year is Pn+1 = 1.04(Pn - G), where G is a constant.

To find the value of P2 (the number of moose at the beginning of 2017), we can use the formula with n = 1:

P2 = 1.04(P1 - G)

We need to find the value of G. We can use the information given to us at the beginning of 2015 and 2016 to form two equations:

P1 = 1.04(P0 - G)

P2 = 1.04(P1 - G)

We can use substitution to solve for G. Rearranging the first equation, we get:

P0 - G = (P1/1.04)

G = P0 - (P1/1.04)

Substituting this expression for G into the second equation, we get:

P2 = 1.04(P1 - (P0 - (P1/1.04)))

Simplifying and solving for P2, we get:

P2 = 220,863 (rounded to the nearest whole number)

Therefore,

                there were approximately 220,863 moose in Alaska at the beginning of 2017.

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If the right-hand-side for the Labor Time constraint decreases to 400, the dual value (shadow price) will become a more negative number, such as -8.

This is because the constraint is tighter, and the reduced availability of labor time will make the resource more valuable in the cost minimization problem. The new allowable increase in the right-hand-side will be smaller and the allowable decrease will be larger, reflecting the increased importance of meeting the resource constraint. This is because the decrease in resource availability means that the value of an additional unit of that resource has increased, leading to a higher cost of not having enough of it.

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Answer:

The width is 6 and the length is 9.

Step-by-step explanation:

Factors of 54: (1, 54), (2, 2), (3, 18), and (6, 9)

6 and 9 would work because 6+3=9

The use of barium sulfate as an image enhancer for gastrointestinal X-rays, despite the toxicity of the barium ion, implies that the equilibrium state of barium sulfate in the body.

Barium sulfate is commonly used as a contrast agent in gastrointestinal X-rays to enhance the visibility of the digestive system. This indicates that barium sulfate, when ingested, remains in a relatively stable and insoluble form in the body, minimizing the release of the toxic barium ion.

The equilibrium state of barium sulfate suggests that the compound has limited solubility in the body, resulting in a reduced rate of dissolution and a lower concentration of the barium ion available for absorption into the bloodstream. The insoluble nature of barium sulfate allows it to pass through the gastrointestinal tract without significant absorption.

By using barium sulfate as an imaging enhancer, medical professionals can obtain clear X-ray images of the digestive system while minimizing the direct exposure of the body to the toxic effects of the barium ion. This reflects the importance of considering the equilibrium state of substances when assessing their potential harm to humans and finding safer ways to utilize them for medical purposes.

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Answer:

The correct answer is 5 11/12

Step-by-step explanation:

HAVE A GOOD DAY!

Answer:

a)

=2×5+2×6

=10+12

=22

Ans. GCF (10, 12) = 2

The critical F-value for a sample of 16 observations in the numerator and 10 in the denominator, with a two-tailed test and a significance level of 0.02, is 4.85 (rounded to two decimal places).

The critical F-value for a sample of 16 observations in the numerator and 10 in the denominator, with a two-tailed test and a significance level of 0.02, is as follows:

The degree of freedom for the numerator is 16-1 = 15, and the degree of freedom for the denominator is 10-1 = 9. Using a two-tailed test, the critical F-value can be computed by referring to the F-distribution table. The degrees of freedom for the numerator and denominator are used as row and column headings, respectively.

For a significance level of 0.02, the value lies between the 0.01 and 0.025 percentiles of the F-distribution. The corresponding values of F are found to be 4.85 and 5.34, respectively. In this problem, the more conservative critical value is chosen, which is the lower value of 4.85.

Rounding this value to two decimal places, the critical F-value is 4.85.

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Answer:

They need to raise $350 to attend the state competition.

Step-by-step explanation:

Answer:

$350

Step-by-step explanation:

750-400=350

The chess club needs to make $350 in a matter of four months to go to the state competition.

We will get that the angle theta is:

θ = β/2

Remember that the sum of the interior angles of any triangle must be equal to 180°.

Now, looking at the triangle in the left, we can see that the top angle is equal to:

180 - 2α

The right angle is equal to:

180 - 2β

And the left angle is α

Then we can write:

α + (180 - 2α) + (180 - 2β) = 180

-α - 2β = -180

α = 180 - 2β

Now we can go to the other triangle, where theta is, and write:

α + β + 2θ = 180

Replacing what we found above, we get:

180 - 2β + β + 2θ = 180

-β + 2θ = 0

θ = β/2

That is the best simplification we can get with the given diagram.

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If the Uptown bank lends $22200 at 6.9% , then the amount of each monthly payment is (d) $530.57  .

The amount that Uptown bank will lend is = $22200 ,

the rate is = 6.9% ,since it is compounded monthly ,

So , monthly rate is = 6.9%/12 = 0.00575 ,

the time for which the car is financed is = 48 months ,

So , to calculate the monthly payment, we can use the formula:

⇒ P = (PV × r)/(1 - (1 + r)⁻ⁿ)

Where P is monthly payment, PV is present value of loan, r = monthly interest rate, and n = number of payments.

In this case, PV = $22200, r = 6.9%/12 = 0.00575 (monthly interest rate), and n = 48.

Substituting these values in monthly payment formula, we get:

⇒ P = (22200×0.00575)/(1 - (1 + 0.00575)⁻⁴⁸)

⇒ P ≈ $530.57

Therefore, the monthly payment will be approximately $530.57 . The correct answer is (d) $530.57 .

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The given question is incomplete , the complete question is

Uptown bank will lend you $22,200 at 6.9 percent, compounded monthly, to purchase a car. if you finance the car for 48 months, what will be the amount of each monthly payment?

(a) $593.60

(b) $549.08

(c) $578.38

(d) $530.57

The probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

We are given that two cards are drawn without replacement from a standard deck of 5252 playing cards. We need to find the probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond.

So, let us first find the probability of drawing a diamond card from a deck of 52 cards:4/52 = 1/13 (There are 4 diamond cards in a deck of 52 cards)

Now, if we draw a diamond card in the first draw, there will be 51 cards left in the deck of which 26 are black. Therefore, the probability of drawing a black card after drawing a diamond card is:26/51

Therefore, the probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

Summary:Two cards are drawn without replacement from a standard deck of 52 playing cards. The probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

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B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

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By using the concept of algebraic expression, it can be calculated that-

Expression equivalent to 18x + 6y - 3 is 3(6x + 2y - 1)

What is algebraic expression?

An algebraic expression is an expression that consists of numbers, variables, and operations such as addition, subtraction, multiplication, and division. Algebraic expressions can be used to represent relationships between numbers, or to represent solutions to equations. These expressions are often used in mathematics, engineering, and computer programming. Algebraic expressions can also be used to create equations or to solve problems. Algebraic expressions can be written in both standard form and expanded form, and can be evaluated to find values for the variables.

The given expression is 18x + 6y - 3

Now,

18x + 6y - 3

3(6x + 2y - 1)

Expression equivalent to 18x + 6y - 3 is 3(6x + 2y - 1)

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Complete Question:

The number of text messages that Reza sent each day so far in this billing cycle is shown on the dot plot.

Which statement must be true according to the dot plot?

A) The data is symmetric and shows that he typically sent about 6 to 8 text messages per day.

B) The data is symmetric and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts.

C) The data is skewed and shows that he typically sent about 6 to 8 text messages per day.

D) The data is skewed and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts

*Check attachment for the dot plot referred to

Answer:

A. The data is symmetric and shows that he typically sent about 6 to 8 text messages per day

Step-by-step explanation:

Taking a look at the dot plot given in the attachment below, we can observe that most of the data set are concentrated in the middle of the dot plot than both ends of the dot plot. With this, we can infer that the distribution of the data is symmetric.

The dot plot also tells us that, 6 and 8 text messages have more frequency than any other data set on the dot plot. This also suggests that Reza usually sends 6 to 8 messages in a day.

Therefore, the statement that is true about the dot plot is:

"A. The data is symmetric and shows that he typically sent about 6 to 8 text messages per day"

Answer:

A

Step-by-step explanation:

All x-values that are within the scope of both f and g make up the domain of the (f g)(x). In this instance, f has a domain of {"x | x ≥ 0"} and g has a domain of "all real numbers"; as a result, (f - g)(x) has a domain of {"x | x ≥ 0"} as these values of x fall inside both f and g's domains.

A function's domain is the collection of all potential inputs. All x-values, or inputs, and all y-values, or outputs, make up a function's domain and range, respectively. When viewing a graph, the domain consists of all of the graph's values from left to right. The graph's whole range, from the bottom to the top, is the range.

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