Pls Help Got to do this right now!!!
Which expression is the additive inverse of - 13/6?

A) 13/6
B) 6/13
C) - 6/13
D) - 13/6

WILL MARK BRAINLIEST!!

So, adjusted to the greatest tenth, the distance between points R and S is around 4.2 units.

The total movement of something, independent of direction, is its distance. The amount of space that an object has traveled, regardless of where it started or ended, can be referred to as distance. When describing the spacing between two things, distance is frequently utilized. But distance is a mathematical representation of the measurement of a line's category, a line with an identifiable starting - ending point.

The following formula may be used to calculate the separation among points R and S:

d =\(\sqrt{ ((x2 - x1)^2 + (y2 - y1)^2)}\)

where (x1, y1) = (1, 2) and (x2, y2) = (4, 5)

d = \(\sqrt{((4 - 1)^2 + (5 - 2)^2)}\)

d = \(\sqrt{(9 + 9)}\)

d = \(\sqrt{(18)}\)

d ≈ 4.2

So, adjusted to the next tenth, the distance between points R and S is around 4.2 units. The most similar option, B, at 4.6 units, does not provide the right response. The options for the answer don't include the right response.

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It is important to note that this statement is about the process of constructing intervals, not about any particular interval we might construct.

To construct a confidence interval for the population mean, we need to know the sample mean, sample size, sample standard deviation, and the level of confidence. Given the problem statement, we have:

Sample mean (H) = 665 hours

Sample standard deviation (s) = 24 hours

Sample size (n) = 24

Level of confidence = 95%

We can use the formula for the confidence interval for the population mean as follows:

Confidence interval = H ± (tα/2) * (s/√n)

where X is the sample mean, s is the sample standard deviation, n is the sample size, tα/2 is the t-value from the t-distribution with n-1 degrees of freedom and a level of significance of α/2 (α/2 = 0.025 for a 95% confidence interval).

To find the t-value, we can use a t-table or a calculator. Using a t-table with 23 degrees of freedom (n-1), we find the t-value for α/2 = 0.025 to be 2.069.

Substituting the values into the formula, we get:

Confidence interval = X ± (tα/2) * (s/√n)

Confidence interval = 665 ± (2.069) * (24/√24)

Confidence interval = 665 ± 9.93

Therefore, the 95% confidence interval for the population mean, μ, is (655.07, 674.93).

This means that we are 95% confident that the true population mean falls within this interval. It is important to note that this statement is about the process of constructing intervals, not about any particular interval we might construct.

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Answer:2073.6 meters is distance traveled when the wheel has gone around 1,000 times.

Step-by-step explanation:

Given:
Diameter = 26 inch (26*2.54=66.04 cm)
Radius = D/2 = 66.04/2=33.02
To find:
Circumference of the wheel = 2\(\pi \)r

                                              =2*3.14*33.02
                                                = 207.36cm (approx)
Distance traveled when the wheel has gone around 1,000 times=207.36*1,000
        = 207360cm (approx)

Distance in meters = 207360/1000 =2073.6

Answer:

She ran 28 miles cause if you add 17 and 11 you get 28! Hope this helped!

Step-by-step explanation:

15 inches

the red part is the same as the bottom part of the shape, you do 3 x 5 because thats the measurements of the rectangle shaded in red

x^2 = (16)^2 + (16)^2

x^2 = 256 + 256

x^2 = 512

x = 16√2

A pentagon can have at most two pairs of parallel sides, but in the case of a regular pentagon, there are no pairs of parallel sides.

A pentagon is a polygon with five sides. To determine the number of pairs of parallel sides a pentagon can have, we need to analyze its properties.

By definition, a polygon with five sides can have at most two pairs of parallel sides. This is because parallel sides are found in parallelograms and trapezoids, and a pentagon is neither.

A parallelogram has two pairs of parallel sides, while a trapezoid has one pair. Since a pentagon does not meet the criteria to be either of these shapes, it cannot have more than two pairs of parallel sides.

In a regular pentagon, where all sides and angles are equal, there are no pairs of parallel sides. Each side intersects with the adjacent sides, forming a continuous, non-parallel arrangement.

Therefore, the maximum number of pairs of parallel sides a pentagon can have is two, but in specific cases, such as a regular pentagon, it can have none.

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The chance of coming up heads 99 times in a row is abysmally small.

50%^99 = 1.57 * 10^-30.

This however has already happened, it does not influence penny flip. the next.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

A penny has two sides,

so the chance of it landing on one side is 1/2 = 0.5 = 50%.

So the result of the next flip has a chance of 50% of coming up heads.

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Answer:

1. B) x = 6

2. No solutions

3. D) x = 4​

4. A) x = -4

Step-by-step explanation:

1. -4x + 8 = -3x + 2

8 = x + 2  ==> add 4x on both sides to move x to one side of the equation

x = 6  ==> subtract 2 on both sides

B. x = 6

2. 9x - 7 = 5x - 19

4x - 7 = -19 ==> subtract 5x on both sides to move x to one side of the

                        equation

4x = -12  ==> add 7 on both sides to isolate x

x = -3  ==> divide 4 on both sides

x = -3 isn't one of the options, so problem 2 has no solutions.

3. 2x - 7 = 5x - 19

-7 = 3x - 19  ==> subtract 3x on both sides to move x to one side of the

                        equation

12 = 3x  ==> isolate x by adding 19 on both sides

x = 4  ==> divide both sides by 3

D. x = 4​

4. -7x + 3 = -3x +19

3 = 4x + 19  ==> add 7x on both sides to move x to one side of the equation

-16 = 4x  ==> subtract 19 on both sides to isolate x

x = -4  ==> divide both sides by 4

A. x = -4

Answer:

\( x = 75\degree\)

Step-by-step explanation:

Given :

There are currently 260 people in archery clubs across the city, and this number is increasing by 11% per year.

To Find :

An equation that can be used to find the number of people, y, in archery clubs across the city after 8 years.

Solution :

Increase in people after 1 years :

\(P = 260 + 260\times 0.11\\\\P = 260( 1 + 0.11)\\\\P = 260\times 1.11\)

After 2 years :

\(P = 260\times 1.11 + 260\times 1.11\times 0.11\\\\P = 260\times 1.11 ( 1 + 0.11)\\\\P = 260\times 1.11^2\)

Therefore, after 8 years the expression of population is :

\(P = 260\times 1.11^8\)

Hence, this is the required solution.

\(9^x = \dfrac 1{27}\\\\\implies (3^2)^x = \dfrac{1}{3^3}\\\\\implies 3^{2x} = 3^{-3}\\\\\implies 2x = -3 \\\\ \implies x = -\dfrac 32\)

The solution for the given problem is (a) P(X ≥ 20,000) = 0.4493, P(X ≤ 30,000) = 0.7769, P(20,000 ≤ X ≤ 30,000) = 0.3276. (b) P(X > 75,000) = 0.0821, P(X > 100,000) = 0.0183.

Solution: a) To find the probability that a randomly selected fan will last at least 20,000 hours. P(X ≥ 20,000). Now, Mean time until failure is 25,000 hours which is given and is represented by µ. Hence, µ = 25,000 hrs. The parameter used for the Exponential distribution is λ.λ = 1 / µλ = 1 / 25,000 hrs. λ = 0.00004. Therefore, the probability that a randomly selected fan will last at least 20,000 hours. P(X ≥ 20,000) =  e -λt = e -0.00004 × 20,000 ≈ 0.4493The probability that a randomly selected fan will last at least 20,000 hours is 0.4493.

To find the probability that a randomly selected fan will last at most 30,000 hours. P(X ≤ 30,000) = 1 - e -λt = 1 - e -0.00004 × 30,000 ≈ 0.7769. The probability that a randomly selected fan will last at most 30,000 hours is 0.7769.

To find the probability that a randomly selected fan will last between 20,000 and 30,000 hours. P(20,000 ≤ X ≤ 30,000) = P(X ≤ 30,000) - P(X ≤ 20,000)P(20,000 ≤ X ≤ 30,000) = (1 - e -λt) - (1 - e -λt)P(20,000 ≤ X ≤ 30,000) = e -0.00004 × 20,000 - e -0.00004 × 30,000 ≈ 0.3276. The probability that a randomly selected fan will last between 20,000 and 30,000 hours is 0.3276.

b) To find the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations.

z = (X - µ) / σZ = (X - µ) / σ = (X - 25,000) / (25,000)λ = 1 / µλ = 1 / 25,000 hrs. λ = 0.00004

The formula for z is z = (X - µ) / σ => X = z σ + µ

The standard deviation of the Exponential distribution is σ = 1 / λσ = 1 / 0.00004 = 25,000 hrs

Z = (X - µ) / σ = (X - 25,000) / (25,000)Z > 2z > 2 => (X - 25,000) / (25,000) > 2 => X > 75,000 hrs.

Now, the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations.

P(X > 75,000) = e -λt = e -0.00004 × 75,000 ≈ 0.0821

The probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations is 0.0821

To find the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations.

Z > 3z > 3 => (X - 25,000) / (25,000) > 3 => X > 100,000 hrs.

Now, the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations P(X > 100,000) = e -λt = e -0.00004 × 100,000 ≈ 0.0183

The probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations is 0.0183.

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First find the measure of the third angle:

180 - 56 - 68 = 56.

This has two identical angles which make it an isosceles triangle.

Answer: 200 video games and 275 software programs for a maximum profit of $45,625

Step-by-step explanation:

475 - 200 = 275

200 times 125 = 25000

275 times 75 = 20625

Maximum profit per week = $45,625

The difference between hypothesis tests for two means with equal variances and with unequal variances lies in the assumption about the population variances.

When conducting a hypothesis test for two means with equal variances, the assumption is that the variances of the two populations from which the samples are drawn are equal. This is known as the equal variance assumption. In this case, a common pooled variance estimate is used to calculate the standard error of the difference in means.

On the other hand, when performing a hypothesis test for two means with unequal variances, there is no assumption of equal variances. The standard error of the difference in means is calculated separately for each sample, taking into account their respective variances. This approach, called the separate variances method, allows for more flexibility in situations where the population variances are not equal.

In summary, the difference between hypothesis tests for two means with equal variances and unequal variances is the assumption made about the population variances and the method used to calculate the standard error of the difference in means.

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Answer:

x > 22

Step-by-step explanation:

Given the inequality;

52- 3x < -14

Subtract 52 from both sides

52 - 3x - 52 < -14 - 52

-3x < -14 - 52

-3x < -66

Divide both sides by -3

-3x/-3 < -66/-3

x > 22

Hence the required inequality is x > 22

Answer:

(0,4)

Step-by-step explanation:

When you are finding the y-intercept, the x = 0

y = -2x + 4

y = -2(0) + 4

  = 0 + 4

y = 4

Meaning y = (0,4)

\(\sf{\underline{Given:-}\)

   \(~~~~~~~\bigstar\overbrace{The~equation~of~the~line}}\)

\(\sf{\underline{To~find:-}}\)

\(\bigstar{\overbrace{The~y-intercept~of~the~line}}\\\sf{\underline{Solution:-}}\)

Since the equation is written in slope-intercept form (y=mx+b), then we just look at the b term, which stands for the y-intercept.

Notice that the y-intercept is a constant...

Hence, the y-intercept of the line is

\(\bigstar{\boxed{\pmb{4}}}\)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

209.5 g

Step-by-step explanation:

The chart shows that 25% of the peanut butter is protein.

25% of 838 g =

= 0.25 * 838 g

= 209.5 g

Answer: 209.5 g

The scenarios can be sorted into two categories based on the type of credit they represent: consumer credit and business credit.

Consumer credit refers to credit extended to individuals for personal use. Scenarios that fall under consumer credit include obtaining a credit card, taking out a car loan, or applying for a mortgage. These forms of credit are typically used by individuals to make purchases or investments that enhance their personal lives or meet their basic needs.

On the other hand, business credit relates to credit extended to businesses or organizations for their operational or investment purposes. Examples of scenarios that fall under business credit include securing a business loan to expand operations, establishing a line of credit for purchasing inventory, or obtaining trade credit from suppliers. Business credit helps companies manage cash flow, invest in growth opportunities, and meet their financial obligations.

By categorizing scenarios into consumer credit and business credit, we can distinguish between credit used for personal purposes and credit utilized by organizations for business-related needs. It is important to consider these categories when evaluating credit options and understanding the implications of different types of credit on personal or business finances.

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Answer:

the download cost for a song is $1 and $11 for a movie

Step-by-step explanation:

According to the questions, the following equations are as follows:

Let us assume the song be x

And, the movies be y

So,

20x + 13y = $163.........(i)

13x + 13y = $156........(ii)

Now solve substract second equation from the first equation

7x = $7

x = $1

And the y value is

20 + 13y = $163

13y = $163 - $20

13y = $143

y = $11

Hence, the download cost for a song is $1 and $11 for a movie

The probability that a randomly selected customer bought exactly 1 of the accessories is 0.664, or 66.4%.

To find the probability that a randomly selected customer bought exactly 1 of the accessories, we need to determine the number of customers who bought exactly 1 accessory and divide it by the total number of customers.

Let's denote the events:

A = customer bought a case

B = customer bought an extended warranty

C = customer bought a dock

We are given the following information:

411 customers bought cases (A)

82 customers bought extended warranties (B)

100 customers bought docks (C)

57 customers bought both a dock and a warranty (B ∩ C)

65 customers bought both a case and a warranty (A ∩ B)

77 customers bought both a case and a dock (A ∩ C)

48 customers bought all three accessories (A ∩ B ∩ C)

58 customers bought none of the accessories

To find the number of customers who bought exactly 1 accessory, we can sum the following quantities:

(A - (A ∩ B) - (A ∩ C)) + (B - (A ∩ B) - (B ∩ C)) + (C - (A ∩ C) - (B ∩ C))

(A - (A ∩ B) - (A ∩ C)) represents the number of customers who bought only a case.

(B - (A ∩ B) - (B ∩ C)) represents the number of customers who bought only an extended warranty.

(C - (A ∩ C) - (B ∩ C)) represents the number of customers who bought only a dock.

Calculating the above expression, we get:

(411 - 65 - 77) + (82 - 65 - 57) + (100 - 77 - 57) = 332

Therefore, there are 332 customers who bought exactly 1 of the accessories. To find the probability, we divide this number by the total number of customers, which is 500:

Probability = 332/500 = 0.664

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No, Alice is not right. The probability of getting two heads when we know that the first toss is a head is 1/2, whereas the probability of getting two heads when we know that at least one of the tosses is a head is 1/3.

If we know that the first toss is a head, the only possible outcomes are HH or HT. The probability of getting two heads in this case is 1/2.

If we know that at least one of the tosses is a head, the possible outcomes are HH, HT, or TH. The probability of getting two heads in this case is 1/3.

Therefore, the event of two heads is less likely if we know that at least one of the tosses is a head than if we know that the first toss is a head.

In conclusion, Alice's claim is incorrect. The event of two heads is less likely if we know that at least one of the tosses is a head than if we know that the first toss is a head.

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Answer:

$24

Step-by-step explanation:

since 40% is in 100% i did 100 - 40 which i got 60

then it says that he paid $36 so I subtracted 60 - 36 and I got $24 as the answer iihope this helps! :)

100 - 40 = 60

60 - 36 = 24

The original price when he paid $36 for the basketball should be considered as the $24.

Since

Juan bought a basketball for 40% off And, If he paid $36 for the basketball.

So it be like

= 60% of $100 - $36

= $60 - $36

= $24

Hence, The original price when he paid $36 for the basketball should be considered as the $24.

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GIVEN :

TO FIND :

OPTIONS :

(A) 20 ducks, 15 buffalo

(B) 15 ducks, 20 buffalo

CASE (i) - 20 ducks, 15 buffalo

= 20·2 + 15·4

= 40 + 60

= 100

CASE (ii) - 15 ducks, 20 buffalo

= 15·2 + 20·4

= 30 + 80

= 110

FINAL ANSWER :

Therefore, the number of ducks are 15 and 20 buffalo.

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Answer:

30 inches squared

Step-by-step explanation:

First, find the area of the entire frame using length times height. 9*6 is 54 inches squared. Then, find the area of the middle space the same way. 6*4 is 24 inches squared. Lastly, subtract the middle from the entire frame's area. 54-24 is 30 inches squared.

The equation that can be used to solve for c in the given right triangle is the sine function: c = (3 meters) / sin(50°).

In the given right triangle ABC, we are given that angle ACB is a right angle (90°) and angle CBA is 50°. We also know the length of side AC, which is 3 meters. The length of side CB is denoted by "a," and the length of the hypotenuse AB is denoted by "c." To solve for c, we can use the trigonometric function sine (sin). In a right triangle, the sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we can use the sine of angle CBA (50°) to find the ratio between side CB (a) and the hypotenuse AB (c).

The equation c = (3 meters) / sin(50°) represents this relationship. By dividing the length of side AC (3 meters) by the sine of angle CBA (50°), we can find the length of the hypotenuse AB (c) in meters. Using the given equation, we can calculate the value of c by evaluating the sine of 50° (approximately 0.766) and dividing 3 meters by this value. The resulting value will give us the length of the hypotenuse AB, completing the solution for the right triangle.

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