Which choice shows three lengths that cannot be the lengths of the three sides of a triangle? 2 cm, 8 cm, 8 cm B. 2 cm, 3 cm, 6cm C. 4cm, 5 cm, 7 cm . D. S cm. 6 cm. 9 cm​

The number of ways to get 66 tails in 1212 coin tosses is approximately 1.34 x 10^-14.

The number of ways to get k tails in n coin tosses is given by the binomial distribution formula:

n choose k * p^k * (1-p)^(n-k)

where n choose k is the number of ways to choose k tails from n coin tosses, and p is the probability of getting a tail on a single coin toss (which is 1/2 if the coin is fair).

In this case, we have n = 1212 and k = 66, so we can plug these values into the formula:

1212 choose 66 * (1/2)^66 * (1/2)^(1212-66)

1212 choose 66 is approximately 4.4 x 10^10, so the final answer is approximately:

4.4 x 10^10 * (1/2)^1212 ≈ 1.34 x 10^-14

Therefore, there are approximately 1.34 x 10^-14 ways to get exactly 66 tails in 1212 coin tosses.

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Answer:

Step-by-step explanation:

If two sides of the triangle are congruent then the triangle is called as isosceles triangle.

If no sides of the triangle are congruent then the triangle is called as scalene triangle.

A triangle in which one of the interior angles is 90° is called a right triangle.

Answer:

\(\huge\boxed{\sf Isosceles\ triangle}\)

Step-by-step explanation:

\(\rule[225]{225}{2}\)

Answer:

The velocity is 17 m/s

Step-by-step explanation:

To find the velocity, we find the first differential of the displacement

That will be

S’(t) = 16t + 1/t

We simply proceed to replace t with 1

That will give;

16(1) + 1/1

= 16 + 1 = 17 m/s

Answer:

x = 10

Step-by-step explanation:

The two triangles are similar, and it says that VUT is similar to EFG so side VT corresponds to side EG which means that 8 is just side VU divided by 2.

This means that side EG is 14 divided by 2 and that is 7.

This results in the equation " 2x - 13 = 7" First, add 13 to both sides of the equation to get rid of the -13. This gives 2x = 20. Then divide both sides by two to cancel out and get rid of the 2 in 2x. This leaves x as 10.

A. X and Y might be independent. Knowing the value of one independent variable tells us nothing about the value of the other independent variable. The mean and variance of X and Y being different does not necessarily mean that knowing the value of one tells us nothing about the other.

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a) Expected real interest rate = 4%

b) Actual real interest rate = 3%

c) If the inflation rate turns out to be higher than expected, Sally (the borrower) is better off.

d) If the inflation rate turns out to be lower than expected, Harry (the lender) is better off.

Let's see further:

a) To calculate the real interest rate, we subtract the expected inflation rate from the nominal interest rate:

Expected real interest rate = Nominal interest rate - Expected inflation rate

Expected real interest rate = 8% - 4%

Expected real interest rate = 4%

b) To calculate the actual real interest rate, we subtract the actual inflation rate from the nominal interest rate:

Actual real interest rate = Nominal interest rate - Actual inflation rate

Actual real interest rate = 8% - 5%

Actual real interest rate = 3%

c) If the inflation rate turns out to be higher than expected, Sally (the borrower) is better off. This is because the actual inflation erodes the value of money, reducing the real burden of repaying the loan.

d) If the inflation rate turns out to be lower than expected, Harry (the lender) is better off. In this case, the purchasing power of the money he receives back is higher than anticipated, resulting in a higher real return on his loan.

The actual inflation rate of 5% resulted in an actual real interest rate of 3%, making Sally better off than expected, while Harry would have been better off if inflation had been lower than expected.

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the chance that the weight of a product is between 115 LB and 118 LB is approximately 0.1207, or 12.07%.

To find the probability that the weight of a product is between 115 LB and 118 LB, we can use the properties of the normal distribution.

Given that the weight of products follows a normal distribution with a mean (µ) of 120 LB and a standard deviation (σ) of 30 LB, we can standardize the values of 115 LB and 118 LB using the z-score formula:

z = (x - µ) / σ

For 115 LB:

z1 = (115 - 120) / 30 = -0.1667

For 118 LB:

z2 = (118 - 120) / 30 = -0.0667

Next, we can use a standard normal distribution table or a calculator to find the corresponding probabilities for these z-values.

Using a standard normal distribution table, the probability of having a z-value between -0.1667 and -0.0667 is approximately 0.1207.

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Answer:

x = -2

Step-by-step explanation:

1. Distribute 2 into the parentheses.

2(2x+2) = -4

4x+4 = -4

2. Subtract 4 from both sides.

4x = -8

3. Divide 4 from both sides.

4x = -8

\(\frac{4x}{4}\) = \(\frac{-8}{4}\)

x = -2

Hope this helps.

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

In the 2018 qualifiers, Daniel Ricciardo set a new record for one lap in 1 minute, 11.841 seconds. To calculate his average speed for that lap, we can use the formula: average speed = distance / time.

However, since we are not given the distance of the lap, we cannot calculate the average speed accurately. Therefore, we cannot determine Daniel Ricciardo's average speed for that lap based on the information provided.

The most crucial scientific notion is measurement. Base or physical fundamental units are used to quantify a wide range of quantifiable quantities. One such measurable metric is speed, which calculates the ratio between the distance an object travels and the time needed to cover that distance.

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When measuring wind speed with a cup anemometer on a sailboat trip across the Atlantic Ocean, there are a few situations that may arise, as shown below:1. When the bearing of the axle is old, the type of error that occurs is systematic error. To reduce or overcome this error, you would need to replace the bearing to avoid it.

2. When there is turbulent flow, the type of error that occurs is random error. To overcome this error, you would have to wait for the wind to stabilize or take an average of many measurements.  3. When there is icing on the cups, the type of error that occurs is also random error.

To overcome this error, you would need to remove the ice or wait for it to melt before continuing the measurement.4. When there is strong tumbling of the sailboat, the type of error that occurs is systematic error. To overcome this error, you would need to find a way to stabilize the boat or take measurements when the boat is less unstable.

It is not well posed to use a cup anemometer to measure in-cabin air flow in a quiet environment because the device is not sensitive enough. The device needs a minimum wind speed to provide accurate readings, and it is not designed to measure low wind speeds. Therefore, it may not be the right tool for the job, and a different instrument may be more appropriate.

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I'm assuming the base salary of this employee is $25.00

25.00+2%

Convert the percent into a decimal.

0.02

Now multiply.

25.00x0.02=0.5

Now add to the base salary.

25.00+0.50=$25.50

The 2% increase was $0.50

The total is $25.50

nya

(a) By plugging in different values for x1, we can plot the indifference curves passing through the given points (2, 2), (1, 2), and (4, 2).

(b) The shape of the indifference curves shows convexity.

(c) The property used to determine this is the non-satiation property of preferences.

(d) The Walrasian demand may not always be single-valued.

(e) Receiving the voucher makes the consumer better-off .

(f) The cash payment allows the consumer to maximize utility by making trade-offs

For 4x1 + x2 = x1 + 2x2, rearranging the equation gives x2 = 3x1, representing the linear part of the indifference curves.

For x1 + 2x2 = 4x1 + x2, rearranging the equation gives x2 = 3x1, representing the kink in the indifference curves.

By substituting different values for x1, we can plot the indifference curves. They will be upward sloping straight lines with a kink at x2 = 3x1.

(b) Properties of the preferences deduced from the shape of indifference curves and utility function:

Diminishing Marginal Rate of Substitution (MRS): Indifference curves are convex, indicating diminishing MRS. The consumer is willing to give up less of one good as they consume more of it, holding the other good constant.

Non-Satiation: Indifference curves slope upwards, showing that the consumer prefers more of both goods. They always prefer bundles with higher quantities.

Convex Preferences: The kink in the indifference curves indicates convexity, implying risk aversion. The consumer is willing to trade goods at different rates depending on the initial allocation.

(c) UMP does not have a solution when Pk = 0 and X -> R2+. This violates the assumption of finite resources and prices required for utility maximization. The property used is non-satiation, as a consumer will always choose an infinite quantity of goods when they are available at zero price.

(d) Walrasian demand depends on relative prices:

If p1 = p2 > 4, the maximizing bundle lies on the linear portion of indifference curves, where x2 = 3x1.

If 4 < p1 = p2 < 1/2, the maximizing bundle lies on the linear portion of indifference curves but at lower x1 and x2.

If p1 = p2 < 1/2, the maximizing bundle lies at the kink point where x1 = x2.

Walrasian demand may not be single-valued due to the shape of indifference curves and the kink point, allowing for multiple optimal solutions based on relative prices.

(e) Given p1 = p2 = 1 and w = $60, the initial budget set is x1 + x2 = 60. With a $10 voucher for good 1, the new budget set becomes x1 + x2 = 70. Since p1 = 1, the consumer spends the voucher on good 1, resulting in x1 = 20 and x2 = 40. Receiving the voucher improves the consumer's welfare by allowing more consumption of good 1 without reducing good 2.

(f) If given the choice between a $10 cash payment and a $10 voucher for good 1 only, the consumer would choose the cash payment. It provides flexibility to allocate the funds based on individual preferences. The answer remains the same even if the assistance were $30, as the cash payment still allows optimal allocation based on preferences. Cash payment offers greater utility-maximizing options compared to the voucher, which restricts choices.

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a. Since both a strong-positive and weak-positive correlation are formally considered to be "growing," this is ambiguous (positive slope). In the same way, negative correlation. Speaking strictly in terms of truth or untrue, I would classify this as false

b. This is once more a little tricky. When "r" is zero, there isn't any evidence of a linear link. It doesn't necessarily follow that the variables don't correlate with one another. The answer is probably True if this is a course on statistics for beginners. If not, False.

c. This is simple to understand. Inverse relationships are indicated by negative coefficients. One grows while the other shrinks (or vice versa). False.

d. The range of the coefficient r is [0, 1] (inclusive), not (0,1). In this case, True if the text suggests [0,1].

e. Simple and accurate

f. Plain and simple, FALSE. Quite a high correlation coefficient

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Answer: E

Step-by-step explanation: On the y axis go 6 spaces up and E will be 6 spaces to the right.

Answer:

i think its 70 percent maybe

Answer:

72 fraction if polygon are expectations but when you divide it it will sepetate to 70 and add the 2 angles so it would be (72)

Step-by-step explanation:

HOPE IT HELPS!!

The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.

Calculation for the average of a set of numbers, follow these steps:

Add up all the values in the data set.

Division of the sum by the total number of values.

For example, consider the following data set: 10, 15, 20, 25, 30.

Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.

Divide the sum by the total number of values: 100 / 5 = 20.

In this case, the average of the data set is 20.

The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.

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Answer:

draw a line trough (2,3) and (0, 2)

Step-by-step explanation:

f(x)=(3/2)x+2

so 3/2 is your slope  and 2 is your y coordinate of y-intercept

pick any point to start for example (0, 0) and go slope=rise/run=3/2 and you will end-up at (2,3)

now you have a point (2,3) and a second the y-intercept (0,2)

draw a line trough those points

The series ∑n=1∞8n+19−n∑n=1∞​−n8n+19​ is convergent, but the sum does not exist (divergent).

To determine whether the series ∑n=1∞8n+19−n∑n=1∞​−n8n+19​ is convergent or divergent, we can analyze its behavior.

By observing the terms of the series, we can see that the general term 8n+19−n−n8n+19​ can be simplified to −8−19n−8−n19​. As nn approaches infinity, the term tends towards −8−8.

To further confirm this, we can evaluate the limit of the general term as nn approaches infinity:

lim⁡n→∞(−8−19n)=−8−0=−8limn→∞​(−8−n19​)=−8−0=−8

Since the limit of the general term is a finite value (-8), the series is convergent.

To find the sum of the series, we can use the formula for the sum of an infinite geometric series:

S=a1−rS=1−ra​

where aa is the first term and rr is the common ratio. In this case, the first term is −8−8 and the common ratio is 11. Plugging in these values, we get:

S=−81−1=−80S=1−1−8​=0−8​

The denominator is zero, which means the sum does not exist. Therefore, the series diverges.

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According to the CPT manual, the appropriate code for the treatment for primary breast cancer, would be 77427.

In medical coding, it is important to assign the correct CPT code to accurately describe the provided medical service. For the described scenario of delivering five MeV of radiation treatment to a single area for primary breast cancer, the appropriate code is 77427. This code specifically represents the radiation treatment delivery for breast cancer.

The CPT manual is a widely used resource that provides a comprehensive list of medical procedures and services, each assigned a specific code. These codes help healthcare providers communicate and document the services rendered to patients, as well as facilitate accurate billing and reimbursement. The codes in the CPT manual are regularly updated to reflect advancements in medical technology and practices.

By referencing the CPT manual, healthcare professionals can ensure that the services they provide are accurately coded, allowing for consistent and standardized communication across the healthcare industry. This helps in maintaining proper documentation, tracking patient care, and facilitating efficient billing processes.

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The CPT manual provides specific codes for radiation treatment delivery, including those for breast cancer. The appropriate code for the given treatment would depend on the specific technique used and can be found in the CPT manual.

In order to code the radiation treatment delivery for primary breast cancer, right female breast, we need to refer to the CPT manual. The CPT manual provides specific codes for different types of radiation treatment delivery. In this case, the treatment involves the delivery of Five MeV of radiation to a single area.

Based on the information provided, the appropriate CPT code for this treatment would be determined by the specific technique used for radiation delivery. The CPT manual provides codes for different techniques, such as external beam radiation therapy (EBRT) and brachytherapy.

Since the question does not specify the technique, we cannot provide a specific CPT code. However, a healthcare professional would consult the CPT manual and select the appropriate code based on the specific details of the treatment.

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Answer:A

Step-by-step explanation:

The domain is the x range. The x values include those of -5 through positive 8. The range is the y values. The highest and lowest y value are -2 and 6, meaning all values inbetween are included in the function. The answer is A.

The recursive formula for a geometric sequence is: an = an-1 × r, where a1 is the first term. Thus, the recursive formula for this sequence is: an = an-1 × 2.

a) Given a geometric sequence with a1 = 2 and r = 6, the second term is a2 = a1 × r = 2 × 6 = 12The third term is a3 = a2 × r = 12 × 6 = 72The fourth term is a4 = a3 × r = 72 × 6 = 432The recursive formula for a geometric sequence is: an = an-1 × r, where a1 is the first term. Thus, the recursive formula for this sequence is: an = an-1 × 6b) Given a geometric sequence with a1 = 1 and r = 2, the first five terms are:a1 = 1a2 = a1 × r = 1 × 2 = 2a3 = a2 × r = 2 × 2 = 4a4 = a3 × r = 4 × 2 = 8a5 = a4 × r = 8 × 2 = 16To find the explicit formula for a geometric sequence, we can use the formula an = a1 × rn-1. Thus, the explicit formula for this sequence is: an = 1 × 2n-1c) Given a geometric sequence with the first term a1 = 2 and the second term a2 = 4, the common ratio is r = a2/a1 = 4/2 = 2The recursive formula for a geometric sequence is: an = an-1 × r, where a1 is the first term. Thus, the recursive formula for this sequence is: an = an-1 × 2.

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Answer:1 1/4

Step-by-step explanation:

if u add all together in decimals it will become 1.125.

pls give me brainless

Answer:

b = 70

b = a = 70

b = c = 70

Step-by-step explanation:

snice b and 70 are opposite the top; they are equal.

b and a are alternate internal they are again equal so a is 70.

and finally a is equal with c because they are opposite at the top.

I hope I helped you! :)))

Answer:

4 for $7

Step-by-step explanation:

step one: 6 divide by 9 is 0.67

step two: 4 divide by 7 is 0.57, 10 divide by 16 is 0.63, 7 divide by 10 is 0.7, and 5 divide by 8 is 0.63

step three: the answer is 4 for $7 because it is the lowest price

Answer:

4 for 7 I did it like 4 days ago and got it correct

he required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

Let’s assume the general solution of the given differential equation is,

y=e^{mx}

By taking the derivative of this equation, we get

\(\frac{dy}{dx} = me^{mx}\\\frac{d^2y}{dx^2} = m^2e^{mx}\\\frac{d^3y}{dx^3} = m^3e^{mx}\\\frac{d^4y}{dx^4} = m^4e^{mx}\\\)

Now substitute these values in the given differential equation.

\(\frac{d^4y}{dx^4}-2\frac{d^2y}{dx^2}-8y\\=0m^4e^{mx}-2m^2e^{mx}-8e^{mx}\\=0e^{mx}(m^4-2m^2-8)=0\)

Therefore, \(m^4-2m^2-8=0\)

\((m^2-4)(m^2+2)=0\)

Therefore, the roots are, \(m = ±\sqrt{2} and m=±2\)

By applying the formula for the general solution of a differential equation, we get

General solution is, \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

Hence, the required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

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Answer:

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

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