write the definition of a function named oneless, which receives an int argument and returns an int that is one less than the value of the argument. so if the argument's value is 7, the function returns the value 6. if the argument's value happens to be 44, the functions returns the value 43.

Answers

Answer 1

The one less function is defined as a function that accepts an integer argument and returns an integer value, which is one less than the input argument. For example, if the input is 7, the function returns 6, and if the input is 44, the function returns 43.

To define a function named "one less" that receives an int argument and returns an int that is one less than the value of the argument, you can write:

```
def oneless(num: int) -> int:
   return num - 1
```

This function takes an integer argument "num" and returns the result of subtracting 1 from it. So if you call the function with the argument 7, it will return 6, and if you call it with argument 44, it will return 43.
The oneless function is defined as a function that accepts an integer argument and returns an integer value, which is one less than the input argument. For example, if the input is 7, the function returns 6, and if the input is 44, the function returns 43.

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Related Questions

A conditional statement is false only when the consequent is true and the antecedent is false. true or false

Answers

Answer: false

Step-by-step explanation:

True. A conditional statement consists of an antecedent (the "if" statement) and a consequent (the "then" statement). The statement is false only when the consequent is true and the antecedent is false.

In other words, for a conditional statement "if A then B," if A is false and B is true, the statement is false. If A is true and B is false or if both A and B are false, the statement is still considered true.

The given statement is incorrect. A conditional statement is false only when the antecedent is true and the consequent is false. In a conditional statement (usually written as "if P, then Q"), the antecedent (P) represents the condition, and the consequent (Q) represents the result of the condition being satisfied. The statement is considered false if the condition (antecedent) holds, but the result (consequent) does not occur.

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help me with number 1

Answers

Answer:

Hope this helps!

Step-by-step explanation:

Explain in your own words what the distributive law is. ​

Answers

Answer: What is a Distributive Law?

Step-by-step explanation:

Distributive law, also called distributive property, in mathematics, the law relating the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products.

{Hope This Helps :)}

Multiplying a number by a group of numbers adding together is called distructive law

Pythagorean theorem Im confused on how to solve it pls help

Answers

Answer:

Part A:

[tex]d = \sqrt{ {9}^{2} + {40}^{2} } = \sqrt{81 + 1600} = \sqrt{1681} = 41[/tex]

The bat will not fit across the diagonal formed by the bottom corners of the box. That diagonal measures 41 inches, whereas the baseball bat is 41.5 inches long.

Part B:

[tex]d = \sqrt{ {9}^{2} + {9}^{2} + {40}^{2} } = \sqrt{81 + 81 + 1600} = \sqrt{1762} = 41.98[/tex]

The bat will fit across the diagonal formed by the bottom corner and the top corner of the box. That diagonal measures about 42 inches, which is slightly longer than the baseball bat's length of 41.5 inches.

Answer:

41.762 inches

Step-by-step explanation:

therefore the length of the diagonal is 41.762 in

A summary of two stocks is shown.


Name of Stock Symbol Closing Price Day 1 Closing Price Day 2 Closing Price Day 3
Metroplis, Ltd MTP 17.95 18.28 18.25
Suburbia, Inc SBR 5.63 5.88 4.98


Suppose you purchase 30 shares of Metropolis stock and 55 shares of Suburbia stock on Day 1 at the closing price. Which day, during the following two days, would be the best to sell both stocks?
Day 2 is the best by $26.75.
Day 3 is the best by $26.75.
Day 2 is the best by $23.65.
Day 3 is the best by $23.65.

Answers

The solution is,  the unique price of the proportion is $10.37 even as within the promotion it is promoting at $18.25 consequently, The inventory is over-valued.

We have,

The following market and stock-specific statistics  10.37201

anticipated Return on company Y = Rf + Beta(Rm-Rf)

= zero.029+ 1.forty one*(zero.082)

= zero.14462

charge of the stock =Dividend/predicted to go back

= 1. 5/0.14462

= 10.37201

So the unique price of the proportion is $10.37 even as within the promotion it is promoting at $18.25 consequently, The inventory is over-valued.

A market is described as the sum overall of all the consumers and dealers in the region or place under attention. The vicinity may be the earth, nations, regions, states, or towns. The fee, fee, and fee of items traded are according to forces of delivery and demand in a marketplace.

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complete question:

use the following market and stock specific information to answer this question. assume you create your own portfolio made up of the four individual stocks shown below. the weighting of the porfolio is 30% stock w, 20% stock x, 20% stock y and 30% stock z. if a treasury bill currently sells for $970.05 and if firm y is expected to pay a constant annual dividend of $1.50 per share, and if the stock is currently selling for $18.25 per share, what is your opinion of the stock price?

enter the value of 7.8 - (3/4 + 2 1/4). help-

Answers

Answer: 4.8

3/4+2 1/4= 3

7.8-3=4.8

From the set {4, 7, 41}, use substitution to determine which value of x makes the equation true.

7(x + 37) = 287

Answers

There is no value of x in the set {4, 7, 41} that makes the equation 7(x + 37) = 287 true.

To solve for x, we can use substitution. We substitute 7 for x in the equation and see if both sides are equal:

7(x + 37) = 287

7(7 + 37) = 287

7(44) = 287

308 = 287

Since 308 does not equal 287, we can conclude that 7 is not the value of x that makes the equation true. We can try the other values in the set and see if they work:

4(x + 37) = 287

4(4 + 37) = 287

4(41) = 287

164 = 287

Again, 164 does not equal 287, so 4 is not the value of x that makes the equation true.

Finally, we can try the last value in the set:

41(x + 37) = 287

41(41 + 37) = 287

41(78) = 287

3198 = 287

This time, we get an equation that is not true.

Therefore, there is no value of x in the set {4, 7, 41} that makes the equation 7(x + 37) = 287 true.

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How do you evaluate positive integers that have been raised to a negative power?

Answers

When a positive integer is raised to a negative power, we can evaluate it by taking the reciprocal of the positive integer raised to the absolute value of the negative power.

if we have a positive integer a raised to a negative power n, we can evaluate it as:

a^(-n) = 1 / a^n

For example, if we have 2^(-3), we can evaluate it as:

2^(-3) = 1 / 2^3 = 1/8

Similarly, if we have 5^(-2), we can evaluate it as:

5^(-2) = 1 / 5^2 = 1/25

Note that this rule applies only to positive integers raised to negative powers. When we have negative numbers raised to negative powers or fractions raised to negative powers, we need to use different rules for evaluation

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the sanders garden shop mixes two types of grass seed into a blend. each type of grass has been rated (per pound) according to its shade tolerance, ability to stand up to traffic, and drought resistance, as shown in the table. type a seed costs $1 and type b seed costs $2. if the blend needs to score at least 300 points for shade tolerance, 400 points for traffic, and 750 points for drought resistance, how many pounds of each seed should be in the blend?

Answers

1. Shade Tolerance: The blend needs to score at least 300 points for shade tolerance.
Total: x * Shade Tolerance points + y * Shade Tolerance points ≥ 300
2. Traffic: The blend needs to score at least 400 points for traffic.
Total: x * Traffic points + y * Traffic points ≥ 400
3. Drought Resistance: The blend needs to score at least 750 points for drought resistance.
Total: x * Drought Resistance points + y * Drought Resistance points ≥ 750

To determine the number of pounds of each seed that should be in the blend, we need to use a system of equations. Let x be the number of pounds of type A seed and y be the number of pounds of type B seed in the blend.

The shade tolerance score for the blend can be expressed as:

x(80) + y(200) ≥ 300

The traffic score for the blend can be expressed as:

x(120) + y(100) ≥ 400

The drought resistance score for the blend can be expressed as:

x(200) + y(150) ≥ 750

We also know that the total amount of seed in the blend is x + y.

We want to minimize the costs of the blend, so we can set up the following equation for the total cost:

1x + 2y = Total cost

Now we can solve this system of equations using any method we prefer. One common method is to use substitution.

First, we can use the shade tolerance equation to solve for y in terms of x:

y ≥ (300 - 80x)/200

Next, we can substitute this expression for y in the traffic equation:

x(120) + ((300 - 80x)/200)(100) ≥ 400

Simplifying and solving for x, we get:

x ≥ 1.5

So the minimum amount of type A seed needed in the blend is 1.5 pounds. We can use this value to solve for y:

y ≥ (300 - 80(1.5))/200 = 1.05

So the minimum amount of type B seed needed in the blend is 1.05 pounds.

Since we want to minimize costs, we want to use the minimum amount of each seed necessary to meet the requirements. Therefore, we should use 1.5 pounds of type A seed and 1.05 pounds of type B seed in the blend.

We need the values for Shade Tolerance, Traffic, and Drought Resistance points for both Type A and Type B seeds to set up the inequalities. Please provide the points for each seed type, and I can help you determine the number of pounds needed for each seed in the blend.

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URGENT The volume of the triangular block is 4 cubic inches.What is the approximate length of y? Round to the nearest tenth of an inch

Answers

When the volume of the triangular block is 4 cubic inches, the approximate length of y is 2.8 inches.

How to calculate the volume

volume = 1/2 x A x C x H = 4 cubic inches

Because the volume of the triangular block is 4 cubic inches.

Formula:

A x C = Base x Height

= 2.8 inches will be the approximate lenght of the y.

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Nathaniel kicks a football. The graph below shows the height of the football h
in meters after t seconds. After how many seconds does the football hit the
ground?

Answers

The number of seconds where the football hit the ground is 2 seconds

After how many seconds does the football hit the ground

From the question, we have the following parameters that can be used in our computation:

The graph

The number of seconds where the football hit the ground is when the graph intersects with the x-axis at the second time

In this case, the point is (2, 0)

Also, the seconds is represented by x

So, we have

x = 2

Hence, the seconds the football hits the ground is 2

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Jennifer has been living in her current principal residence for three years. Six months ago Jennifer decided that she would like to purchase a second home near a beach so she can vacation there for part of the year. Despite her best efforts, Jennifer has been unable to find what she is looking for. Consequently, Jennifer recently decided to change plans. She purchased a parcel of land for $130,000 with the intention of building her second home on the property. To acquire the land, she borrowed $130,000 secured by the land. Jennifer would like to know whether the interest she pays on the loan (before construction on the house is completed) is deductible as mortgage interest.
a. How should Jennifer treat the interest if she has begun construction on the home and plans to live in the home in 12 months from the time construction began?
Interest is b. How should Jennifer treat the interest if she hasn’t begun construction on the home but plans to live in the home in 15 months?
Interest is c. How should Jennifer treat the interest if she has begun construction on the home but doesn’t plan to live in the home for 37 months from the time construction began?
Interest is

Answers

a. If Jennifer has begun construction on the home and plans to live in it in 12 months from the time construction began, the interest she pays on the loan can be treated as deductible mortgage interest.

This is because the IRS allows interest on loans for the construction or purchase of a second home to be deductible if the home will be used as a qualified residence within 24 months.

b. If Jennifer hasn't begun construction on the home but plans to live in it in 15 months, the interest she pays on the loan can still be treated as deductible mortgage interest. As long as she starts construction and completes it within 24 months, making the home a qualified residence, the interest remains deductible.

c. If Jennifer has begun construction on the home but doesn't plan to live in it for 37 months from the time construction began, the interest on the loan is not deductible as mortgage interest. This is because the home won't be used as a qualified residence within the 24-month time frame allowed by the IRS.

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(15 POINTS) HELP ASAPPPP PLSSSS

Answers

C, D, E are correct.

Write t+4/t+5 and 9/t-1 with a common denominator

Answers

The sum of t+4/t+5 and 9/t-1 with a common denominator is (t²+12t+41)/[(t+5)(t-1)].

To find a common denominator for the given expressions t+4/t+5 and 9/t-1, we need to determine the least common multiple (LCM) of the denominators (t+5) and (t-1):

The prime factorization of t+5 is (t+5).

The prime factorization of t-1 is (t-1).

Therefore, the LCM is (t+5)(t-1).

To convert t+4/t+5 into an equivalent fraction with the denominator (t+5)(t-1), we multiply both the numerator and denominator by (t-1):

t+4/t+5 = (t+4)(t-1)/[(t+5)(t-1)] = (t²+3t-4)/[(t+5)(t-1)]

To convert 9/t-1 into an equivalent fraction with the denominator (t+5)(t-1), we multiply both the numerator and denominator by (t+5):

9/t-1 = 9(t+5)/[(t+5)(t-1)] = (9t+45)/[(t+5)(t-1)]

Now both fractions have the same denominator, so we can add them:

(t²+3t-4)/[(t+5)(t-1)] + (9t+45)/[(t+5)(t-1)] = (t²+3t-4+9t+45)/[(t+5)(t-1)]

Simplifying the numerator gives:

t²+12t+41

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What is the y-intercept of this quadratic function? f(x) = -x^2 +10x-22The y-intercept of function f is ( , ).

Answers

Answer:

-22

Step-by-step explanation:

This is the result of the operation, in the image, the answer is all the way at the bottom, hope this helps

a ratio is the relationship between two quantities, such as the two adjacent sides of a ractangle. somethimes these are expressed as

Answers

A ratio is essentially a comparison of two quantities, often expressed as a fraction or using the colon symbol.

For example, the ratio of the length to the width of a rectangle could be expressed as "length:width" or "length/width". The terms "numerator" and "denominator" are also used in ratios, with the numerator representing the first quantity being compared and the denominator representing the second quantity being compared. Ratios can be simplified, multiplied, or divided just like fractions.
A ratio is the relationship between two quantities, such as the two adjacent sides of a rectangle. Ratios can be expressed in various ways, including using a colon (e.g., 3:4) or as a fraction (e.g., 3/4). These expressions help compare the relative sizes of the two quantities involved.

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Please help me with this homework

Answers

Answer:

2

Step-by-step explanation:

Slope, the measure of the steepness of the line created by these 2 points, is calculated by taking the difference in "y"s divided by the difference in "x"s. The equation is (y2-y1)/(x2-x1) 2 being the coordinate in the second point, and 1 the coordinate in the first point.

((-12)-(-4))/((-1)-3)

The -(-4) turns into +4, so the top is (-12+4)

(-8)/(-4) = 2

Isabella gave the cashier $30 to pay for 5 pairs of socks. The cashier gave her $7. 20 in
change. Each pair of socks cost the same amount

Answers

The cost of each pair of socks is $1.14 if Isabella paid $30 and gets $7.20 as a change for 5 pairs of socks.

The cost of 5 pairs of socks is given by the change she receives when subtracted from the total amount she paid.

Amount paid = $30

Change = $7.20

Cost of 5 pairs of socks = Amount paid - change

= 30 - 7.20

= $22.80

The cost of one pair of socks is calculated by dividing the cost of 5 pairs of socks by 5.

Cost of one pair of socks = 22.80 ÷ 5

= $ 1.14

Thus, the cost of one pair of socks is $1.14

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The complete question is 'Isabella gave the cashier $30 to pay for 5 pairs of socks. The cashier gave her $7. 20 in change. Each pair of socks cost the same amount. Find the cost of a single pair of socks.'

A marketing firm surveyed 300 homes in Claiborne County and found that 135 homes can access the Internet. How many of the 45,000 homes in Claiborne County would you expect to be able to access the Internet?

Answers

We can use proportions to estimate the number of homes in Claiborne County that can access the Internet based on the survey results.

If 135 out of 300 homes surveyed can access the Internet, then the proportion of homes in Claiborne County that can access the Internet can be estimated as:

135/300 = x/45000

where x is the number of homes in Claiborne County that can access the Internet.

Solving for x, we get:

x = (135/300) * 45000 = 20,250

Therefore, we would expect approximately 20,250 homes in Claiborne County to be able to access the Internet based on the survey results. Note that this is just an estimate, and the actual number of homes in Claiborne County that can access the Internet may be different.

Please help answer this question.

Answers

The value of tan 25° to the nearest hundred is,

⇒ 0.47

And, The value of sin 49° to the nearest tenth is,

⇒ 0.8

We have to given that;

To find the value of tan 25° and sin 49°

Now, We know that;

⇒ tan 25° = 0.4667

Rounded to the nearest hundred,

⇒ tan 25° = 0.47

And, We get;

⇒  sin 49° = 0.754

Rounded to the nearest tenth,

⇒ sin 49° = 0.8

Thus, The value of tan 25° to the nearest hundred is,

⇒ 0.47

And, The value of sin 49° to the nearest tenth is,

⇒ 0.8

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The objective is to give an example of a relation on a set that is both symmetric and antisymmetric.

Answers

A. Therefore, if (x, y) and (y, x) are in R, then x = y, which means that xRy and yRx only if x = y, which is not true for distinct elements x, y in A.

A relation R on a set A is said to be symmetric if for any elements x, y in A, if xRy, then yRx. A relation R on a set A is said to be antisymmetric if for any distinct elements x, y in A, if xRy, then it is not true that yRx.

One example of a relation on a set that is both symmetric and antisymmetric is the equality relation. Let A be any set and let R be the equality relation, defined as:

R = {(x, y) | x = y for x, y in A}

Then, R is symmetric because if x = y, then y = x for any x, y in A. Therefore, if (x, y) is in R, then (y, x) is also in R. R is also antisymmetric because if x = y and y = x, then x = y for any x, y in A. Therefore, if (x, y) and (y, x) are in R, then x = y, which means that xRy and yRx only if x = y, which is not true for distinct elements x, y in A.

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A statistician wants to find the probability that a z score is between 1 and 2.5. Which of these functions gives the probability? Not enough information - the n is not given. =NORM.DIST(2.5 - 1,0, 1, FALSE) =NORM.DIST(2.5 - 1.0, 1. TRUE) =NORM.DIST(2.5, 0, 1, TRUE) - NORM.DIST(1, 0, 1, TRUE) Not enough information - the mean and standard deviation are not given. =NORM.DIST(2.5, 0.1, TRUE) + NORM.DIST(1, 0, 1, TRUE)

Answers

The correct function to find the probability that a z score is between 1 and 2.5 is =NORM.DIST(2.5, 0, 1, TRUE) - NORM.DIST(1, 0, 1, TRUE). This function calculates the cumulative probability for each z score and subtracts the lower value (1) from the higher value (2.5) to find the probability between them.

The function that gives the probability that a z score is between 1 and 2.5 is =NORM.DIST(2.5, 0, 1, TRUE) - NORM.DIST(1, 0, 1, TRUE). This function calculates the area under the standard normal distribution curve between the z scores of 1 and 2.5. The statistician can use this function to determine the likelihood of a random variable falling within this range of z scores. The standard normal distribution has a mean of 0 and a standard deviation of 1, which is why these values are used in the function.

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please help with full explanation!! thank you!! :)

Answers

The lengths of the longest sides of the triangles are 40 and 16.

What are the lengths of the triangle?

The lengths of each side of the triangle is calculated as follows;

Let the longest side of the similar triangle = L

then the longest side of the triangle = 3L - 8

The value of L or the longest side is calculated by applying congruency theorem for the similar triangles.

L/6 = (3L - 8)/15

15L = 6 (3L - 8)

15L = 18L - 48

15L - 18L = -48

-3L = -48

L = 48/3

L = 16

The second triangle, = 3L - 8

= 3 x 16 - 8

= 40

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Let Yı, Y2, ..., Y. be a random sample from a distribution with probability density function given by for 0

Answers


A random sample is a set of observations that are chosen randomly from a larger population. Each observation in the sample is independent and identically distributed (i.e. has the same underlying probability distribution).

A probability density function (PDF) is a mathematical function that describes the likelihood of a random variable taking on a particular value or range of values. It's used to model continuous random variables (as opposed to discrete random variables, which have probability mass functions).

Now, let's apply these concepts to the problem at hand.

We have a random sample Y1, Y2, ..., Yn from a distribution with the PDF:

f(y; λ) = λe^(-λy)    for y ≥ 0

where λ > 0 is a parameter of the distribution.

We want to find the maximum likelihood estimator (MLE) of λ based on this sample. The MLE is the value of the parameter that maximizes the likelihood function, which is the joint PDF of the sample.

The joint PDF of the sample is given by:

f(y1, y2, ..., yn; λ) = λ^n * e^(-λ(y1 + y2 + ... + yn))

To find the MLE of λ, we need to maximize this function with respect to λ. However, it's easier to work with the logarithm of the likelihood function, since the logarithm is a monotonic function and will preserve the location of the maximum.

Taking the logarithm of the likelihood function, we get:

log(L) = n*log(λ) - λ(y1 + y2 + ... + yn)

To maximize this function, we take the derivative with respect to λ and set it equal to zero:

d/dλ [log(L)] = n/λ - (y1 + y2 + ... + yn) = 0

Solving for λ, we get:

λ = n / (y1 + y2 + ... + yn)

This is the MLE of λ based on the sample. Note that this estimator depends on the values of the sample observations, which makes sense since the estimator is trying to capture the underlying distribution of the population based on the observed data.

To verify that this is a maximum, we can take the second derivative of the log-likelihood function with respect to λ:

d^2/dλ^2 [log(L)] = -n/λ^2 < 0

Since the second derivative is negative, this confirms that the MLE is a maximum.

So, to summarize: given a random sample Y1, Y2, ..., Yn from a distribution with the PDF f(y; λ) = λe^(-λy) for y ≥ 0, the maximum likelihood estimator of λ is λ = n / (y1 + y2 + ... + yn). This estimator captures the underlying distribution of the population based on the observed data in the sample.

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A shower stall is in the shape of a rectangular prism. The area of the base of the shower is 2.5 square yards. The volume of the shower is 7.5 cubic yards.
What is the height of the shower in yards?

A. 5yd
B. 10yd
C. 6yd
D. 3yd​

Answers

Answer:

3 yards or option D.

Step-by-step explanation:

We can use the formula for the volume of a rectangular prism, which is:

Volume = length x width x height

We are given that the volume of the shower is 7.5 cubic yards, and the area of the base is 2.5 square yards. We can use the area of the base to find the length and width of the shower, since the base is a rectangle.

Area of base = length x width

2.5 = length x width

We are not given the length or width, but we can solve for one of them in terms of the other:

length = 2.5/width

Now we can substitute this expression for length into the formula for volume:

Volume = length x width x height

7.5 = (2.5/width) x width x height

Simplifying, we can cancel out the width terms:

7.5 = 2.5 x height

Dividing both sides by 2.5, we get:

3 = height

What is the median of this data set?

Answers

The median of the given data set as required to be determined in the task content is; 4.

What value represents the median of the data set?

It follows from the task content that the value which represents the median of the data set is to be determined.

By observation, the number of data values in the data set is; 15. On this note, the median value would be the eighth term in an orderly arrange of the values.

Consequently, the median of the data set as required is; 4.

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Emma, Kyran and Polly each spun the same spinner a number of times and recorded how many times it landed on a section labelled 4. Their results are shown below. a) They each used their own results to work out the estimated probability of the spinner landing on 4. Which person had the best estimate for the probability? b) By combining all of their results, work out the estimated probability of the spinner landing on 4. Give your answer as a decimal. c) Will using the combined results give a better or worse estimate than using only one person's results? Write a sentence to explain your answer. Number of times the spinner landed on 4 Total number of spins Emma 25 70 Kyran 20 50 Polly 23 80​

Answers

Using the combined results gives a better probability estimate than using only one person's results.

What is the probability of each of them landing a 4?

The probability of each of them landing a 4 is calculated using the formula below:

Probability = Number of times the spinner landed on 4 /Total number of spins

The probability of each of them landing a 4 is given below:

Emma: 25/70 = 0.36 or 36%

Kyran: 20/50 = 0.4 or 40%

Polly: 23/80 = 0.29 or 29%

b) The combined estimated probability of the spinner landing on 4 is calculated as follows:

Total number of times spinner landed on 4 = 25 + 20 + 23 = 68

Total number of spins = 70 + 50 + 80 = 200

Combined estimated probability = 68/200

The combined estimated probability = 0.34 or 34%

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A planet travels 5.782× 10⁸ km in its orbit each day .How far will it travel in 800 years ? Use 1 year ≈ 365.25 days.​

Answers

Step-by-step explanation:

this is just plain multiplication.

we know how far it travels on one day.

that multiplied by 365.25 is his fast it travels in one year.

that multiplied by 800 gives us how fast it travels in 800 years.

5.782 × 10⁸ × 365.25 × 800 = 5.782×365.25×800 × 10⁸ =

= 1,689,500.4 × 10⁸ = 1.6895004 × 10¹⁴ km

2x^2-2x+1=4x+1 Factoring (Answers are exact)

Answers

The requried factored form of the expression 2x^2-2x+1-4x-1 is 2x(x-3/2).

Here,
To factor the expression [tex]2x^2-2x+1-4x-1[/tex], we can rearrange the terms to get:

[tex]2x^2 - 6x = 0[/tex]

Now we can factor out the common factor of 2x to get:

2x(x-3) = 0

So the solutions are:

x = 0, x = 3/2

Therefore, the factored form of the expression 2x^2-2x+1-4x-1 is 2x(x-3/2).

Learn more about factors here:

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Ingrid has 14.4 meters of string to hang 5 pennants and a banner at her school. She needs 0.65 meter of string for the banner and the same length string for each pennant. What length of string will be used to hang each pennant? Write and solve a two-step equation. Let s represent the length of string used to hang each pennant.

Answers

Answer:

5s + 0.65 = 14.4

      - 0.65  - 0.65

______________

5s = 13.75

___.   ___

5          5

s = 2.75 meters of string for each pennant

Explanation:

s represents the length of string required for each pennant.

We know that Ingrid is using a total of 14.4 meters of string to hang a banner and 5 pennants.

We also know that out of that 14.4 meters, 0.65 meters is used to hang the banner. The rest of the string left is equally distributed among the 5 pennants.

So, therefore, we have a constant of 0.65 and a coefficient of 5 with variable, s.

Next, we solve this by first isolating the constant by subtracting 0.65 on both sides.

Then. we isolate the variable by dividing 5 into both sides.

So, s = 2.75 meters of string for each pennant

 

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