What is the value of 5 1/3 ​ - 4 12
Help

Answer: 8r + 9.8s + 8.1

Step-by-step explanation:

   Given:

-(-8r-9.8s)+8.1

   Distribute:

   ↳ A - times a - becomes a +, a -times a + stays a -

8r + 9.8s + 8.1

Read more about distributing outside the parentheses here:

   https://brainly.com/question/17274439

The dot product of vectors x and y with magnitudes 5 and 4 units, respectively, is 20 units, indicating that they are parallel to each other and in the same direction.

From the given information, we know that the magnitudes of vectors x and y are 5 and 4 units, respectively, and their dot product is 20 units.

To find the angle between vectors x and y, we can use the formula:

cos(theta) = (x.y) / (|x| * |y|)

Substituting the given values, we get:

cos(theta) = 20 / (5 * 4)
cos(theta) = 1

This implies that the angle between vectors x and y is 0 degrees, which means that they are parallel to each other.

Thus, we can conclude that vectors x and y are parallel and in the same direction.



Given the magnitudes of vectors x and y and their dot product, we can determine their relationship and direction. The dot product is the product of their magnitudes and the cosine of the angle between them. Using this formula, we found that the angle between vectors x and y is 0 degrees, indicating that they are parallel to each other. Therefore, we can conclude that vectors x and y are parallel and in the same direction. This information can be useful in various mathematical and physical applications, such as determining the force required to move an object in a particular direction.



In conclusion, the dot product of vectors x and y with magnitudes 5 and 4 units, respectively, is 20 units, indicating that they are parallel to each other and in the same direction. This information can be useful in various mathematical and physical applications.

To know more about vectors  visit:

brainly.com/question/30958460

#SPJ11

Answer:

\(\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\)

\(\huge\colorbox{violet}{✏﹏ \: Part A \: }\)

\(x = 55°\)

✏ They are vertically opposite angles. Vertically opposite angles are equal to each other.

\(\huge\colorbox{yellow}{✏﹏ \: Part B \: }\)

\(x = 110°\)

✏ Same reason as Part A. They are vertically opposite angles. Vertically opposite angles are equal to each other.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

\( \huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}\)

Answer:

Part A :

They are vertically Opposite angles

X=55°

Part B:

Same as part A

X=110°

Answer:

4

Step-by-step explanation:

Take two points from the graph. One appears to be (40,20) and another appears to be (50,60).

Slope is the rise over run, or the difference of the y values over the difference of the x values. The difference between 60 and 20 is 40, and the difference between 50 and 40 is 10, so 40/10, which simplifies to 4.

Answer: no

Step-by-step explanation:

Zero is neither positive or negative

You have to fist write it in a way you don't confuse yourself

Let the number be x

x+5=17

x=17-5

x=12

It's a step by step process

Since we do not have the sample data, we cannot perform the hypothesis testing. However, we can discuss the general procedure.

A. To test whether the walking program significantly reduces SBP, we need to set up the null and alternative hypotheses. Let  be the population mean SBP before the walking program, and let  be the population mean difference in SBP (after - before). Then the hypotheses are:

there is no significant difference in SBP before and after the walking program)

(the walking program significantly reduces SBP)

We choose a one-tailed test because we are interested in a decrease in SBP. The significance level is 5%.

Next, we collect data from a random sample of patients who participate in the walking program. We calculate the sample mean difference, denoted by, and the standard error of the mean difference, denoted by . We then calculate the test statistic:

Under the null hypothesis, the test statistic follows a t-distribution with n-1 degrees of freedom, where n is the sample size. We can then calculate the p-value, which is the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true. If the p-value is less than 0.05, we reject the null hypothesis and conclude that there is evidence that the walking program significantly reduces SBP.

B. When drawing conclusions from a hypothesis test, there are two types of errors that can occur: type I error and type II error. Type I error occurs when we reject a null hypothesis that is actually true. The probability of making a type I error is equal to the significance level, which is 5% in this case. Type II error occurs when we fail to reject a null hypothesis that is actually false. The probability of making a type II error depends on the sample size, the magnitude of the difference between the null and alternative hypotheses, and the variability of the data.

To learn more about sample click here: brainly.com/question/12823688

#SPJ11

Statistical inference methods. These methods help us determine if findings from a sample can be generalized to the full population by using mathematical techniques to make inferences about population parameters based on sample data.

Mathematical methods that allow us to determine whether we can generalize findings from our sample to the full population are called statistical inference methods. These methods involve making inferences and drawing conclusions about population parameters based on sample data. Statistical inference helps us make statements about the population based on the information obtained from a representative sample. Common techniques in statistical inference include hypothesis testing, confidence intervals, and estimation.

learn more about Statistical inference methods here:
https://brainly.com/question/30881181

#SPJ11

The theoretical probability of Nadir being chosen as part of the group of four students for the student council is 4/6, which simplifies to 2/3.

To calculate the theoretical probability, we need to determine the number of favorable outcomes (Nadir being chosen) and divide it by the total number of possible outcomes (all combinations of four students out of the six).

First, let's calculate the number of favorable outcomes. Since we want Nadir to be chosen, we can consider Nadir as one of the positions to be filled. This leaves us with three remaining positions to be filled by the remaining five students (Michelle, Olivia, Parvi, Quinn, and Richard). Therefore, the number of favorable outcomes is the number of ways to choose three students out of the five, which is given by the combination formula: 5 choose 3 = 5! / (3! * (5-3)!) = 10.

Next, let's determine the total number of possible outcomes, which is the number of ways to choose four students out of the six. Using the combination formula again, we have 6 choose 4 = 6! / (4! * (6-4)!) = 15.

Finally, we divide the number of favorable outcomes by the total number of possible outcomes: 10 / 15 = 2/3. Therefore, the theoretical probability of Nadir being chosen as part of the group is 2/3.

Learn more about  theoretical probability here:

https://brainly.com/question/30604977

#SPJ11

The person should order around 10,941 pens to get through 3 weeks of school.

Sales are actions involving the sale of goods or the volume of items sold during a specified time frame. A sale also includes the provision of a service for a fee.

Here, 521 pens are sold per day in the school store.

The number of days present in 3 weeks is 21 days.

Then, for 21 days, the number of pens required is calculated by multiplying the number of days and the number of pens.

So, 21 x 521 = 10,941 pens.

Therefore, the person should order 10,941 pens.

To know more about sales:

https://brainly.com/question/28618654

#SPJ4

The number of possible combinations for a password is an important aspect of computer security.

A password is a crucial aspect of computer security. It is used to protect personal information and keep unauthorized users from accessing important data.

a) For Computer Alpha's password, there are 26 letters (not case-sensitive), 10 numbers (0-9), and 13 special characters.

The formula for combination is nCr, where n is the total number of items, and r is the number of items to choose from.

In this case, n is 10 and r is 49, so the number of possible combinations is

=> 49C10 = 3,738,383,600.

b) If there must be at least one special character and at least two numbers, the number of possible combinations decreases.

The total number of possible combinations is

=> 10C2 x 13C1 x 36C7.

c) The password "AA!!!56555" has 8 characters. The number of different passwords that can be made by rearranging these characters is 8!.

d) For Computer Omega's password, there are 26 letters and four "words" of four letters each.

The number of possible combinations is

=> 26⁴ x 26⁴ x 26⁴ x 26⁴ = 208,827,064,576,000.

e) Based on the number of possible combinations, Computer Omega is easier to hack compared to Computer Alpha. This is because there are fewer possible combinations for Computer Omega's password.

To know more about combination method here.

https://brainly.com/question/28998705

#SPJ4

Answer:

432 characters

Step-by-step explanation:

First we can convert 12 characters per inch in to characters per feet. Knowing that there are 12 inches per foot we know we have to multiply the 12 characters per inch by 12, giving us 144 characters per foot. Now we have to convert characters per foot to characters per yard. Knowing there are 3 feet per yard we know we have to multiply 144 characters per foot by 3, giving us a final answer of 432 characters per yard of text.

Answer:

432 characters

Step-by-step explanation:

just did the test :)

The system of linear equations are;

a + b = 5.30

a + b = 7

Expressing the information as a system of linear equations:

Consider that apples = a, oranges = b

If $5.30 is charged for one apple and one orange, then we get the equation as

a + b = 5.30 - - - (1)

If $14 is charged for 2 apples and 2 oranges,  then we get the equation as ;

2a + 2b = 14 - - - - (2)

a + b = 7

Since both equations give varying combined cost for an equal amount of fruit, so a unique cost cannot be obtained for each fruit from the systems of equation using a simultaneous equation process.

From (1)

a = 5.30 - b

Put a, b in (2)

2(5.30 - b) + 2b = 14

10.6 - 2b + 2b = 14

10.6 = 14

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ4

Answer:

(C)

Step-by-step explanation:

just took the test on edge 2020

Answer:

(C)

Step-by-step explanation:

Answer:

1 \(\frac{1}{3}\) miles.

Step-by-step explanation:

2/4 + 5/6 = ?

We must convert these fractions to the same denominator so we can add fractions. Least common multiple of 4 and 6 is 12.

2/4 = 6/12

5/6 = 10/12

6/12 + 10/12 = 16/12

16/12 = 4/3

4/3 = 1 \(\frac{1}{3}\)

d. The probability that a sample mean is less than $56 is approximately 0.0808. e. The probability that a sample mean is between $56 and $63 is approximately 0.6464. f. The probability that the sampling error (x − μ) would be $9 or more is approximately 0.2928.

To solve these problems, we can use the properties of the sampling distribution of the sample mean when the population is normally distributed. In this case, the population mean is $60 and the standard deviation is $12.

d. To find the probability that a sample mean is less than $56, we need to calculate the z-score corresponding to that value and then find the corresponding area under the standard normal curve. The z-score is given by:

z = (x - μ) / (σ / √n)

Substituting the values, we have:

z = (56 - 60) / (12 / √9) = -2 / 4 = -0.5

Using a standard normal distribution table or calculator, we find that the area to the left of a z-score of -0.5 is approximately 0.3085. However, since we are interested in the probability of the sample mean being less than $56, we need to subtract this value from 0.5 (since the area under the normal curve is symmetric). Therefore, the probability is approximately 0.5 - 0.3085 = 0.0808.

e. To find the probability that a sample mean is between $56 and $63, we need to calculate the z-scores for both values and find the area between these two z-scores. The z-score for $56 is -0.5 (as calculated in part d) and the z-score for $63 is:

z = (63 - 60) / (12 / √9) = 3 / 4 = 0.75

Using a standard normal distribution table or calculator, we find that the area to the left of a z-score of 0.75 is approximately 0.7734. The area to the left of a z-score of -0.5 is 0.3085 (as calculated in part d). Therefore, the probability of the sample mean being between $56 and $63 is approximately 0.7734 - 0.3085 = 0.4649.

f. To find the probability that the sampling error (x - μ) would be $9 or more, we need to calculate the z-score corresponding to $9 and find the area under the standard normal curve to the right of that z-score. The z-score is given by:

z = (x - μ) / (σ / √n)

Substituting the values, we have:

z = (9 - 0) / (12 / √9) = 9 / 4 = 2.25

Using a standard normal distribution table or calculator, we find that the area to the right of a z-score of 2.25 is approximately 0.0122. However, since we are interested in the probability of the estimate of the population mean being less than $51 or more than $69, we need to multiply this value by 2 (to include both tails of the distribution). Therefore, the probability is approximately 2 * 0.0122 = 0.0244.

In summary, the probability that a sample mean is less than $56 is approximately 0.0808, the probability that a sample mean is between $56 and $63 is approximately 0.4649

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

the location of point A after the transformations are complete is (-5, 1)

Step-by-step explanation:

Given the coordinate of the trapezoid at A(-5, 1), B(-4, 3), C(-1, 3) and D(-2, 1).

The location of point A is at (-5, 1) which is the second quadrant, when it is rotated 180 degrees about the origin, the point moves to the fourth quadrant and the new point is at (5, -1). If it is then reflected over the x axis, the x coordinate remain the same and the sign of the y coordinate changes making the new point (5, 1). If it is then reflected over the y axis, the y coordinate remain the same and the sign of the x coordinate changes making the new point (-5, 1).

the location of point A after the transformations are complete is (-5, 1)

Answer:

the location of point A after the transformations are complete is (-5, 1)

Step-by-step explanation:

The required order of the number from least to greatest square root is

1/√3 < √1 < √2 < √2.5

Which number is greatest in value:

In the above numbers 1, 1/3 and 2.5 do not have square roots.

So, we will write 1, 1/3 and 2.5 inside the square root as shown below.

√1 = 1

√(1/3) = 1/√3 = 0.577350269

√2.5 = 1.58113883

√2 = 1.414

Arranging these numbers according to their value, we get the order as-

0.577350269 < 1 < 1.414  < 1.581138831

Hence, the required order of the number from least to greatest square root is 1/√3 < √1 < √2 < √2.5.

Learn more about the order of the number from least to greatest square root on:

https://brainly.com/question/295956

#SPJ4

Running Bear ended up 29.204 miles from the village.

Running Bear left the village and traveled 30 miles in a direction of 30°. Then he went 50 miles in a direction of 220°. To find out how far he ended up from the village, we need to add up the distances he traveled in both directions.

Think of it like putting two arrows end to end on a piece of paper. The first arrow represents the 30 miles he traveled at 30°, and the second arrow represents the 50 miles he traveled at 220°. The total distance from the village to the final point is equal to the length of the combined arrow.

We can represent the two displacements as vectors in a rectangular coordinate system, with the x-axis as the East-West direction and the y-axis as the North-South direction.

The first displacement, 30 miles at 30°, can be written as a vector in the x and y directions using trigonometry:

x1 = 30 cos 30° = 15

y1 = 30 sin 30° = 15

The second displacement, 50 miles at 220°, can be written as a vector in the x and y directions using trigonometry:

x2 = 50 cos 220° = -25

y2 = 50 sin 220° = -43.301

The total displacement from the village to the final point is found by adding the components of the two vectors:

x = x1 + x2 = 15 - 25 = -10

y = y1 + y2 = 15 - 43.301 = -28.301

Finally, we can use the Pythagorean theorem to find the magnitude (distance) of the total displacement:

d = √(-10)^2 + (-28.301)^2 = √851.121 = 29.204 miles

So, Running Bear ended up 29.204 miles from the village.

You can learn more about distance at

https://brainly.com/question/26550516

#SPJ4

The greatest common divisors of the given pairs of integers are 29 * 3 * 5 * 7 * 11 * 13 and 4, and two integer pairs of the form (x, y) with |x| < 1000 that satisfy 17x + 26y = gcd(17, 26) are (2, -3) and (-15, 8).

To find the greatest common divisor (gcd) of two integers, we can use the prime factorization of each integer and find the product of the common factors.

For the first pair of integers

24 * 32 * 5 = 2^5 * 3 * 5 * 2^5 = 2^10 * 3 * 5

23 * 34 * 55 = 23 * 2 * 17 * 5 * 2 * 5 * 11 = 2^2 * 5^2 * 11 * 17 * 23

The gcd of these two integers is the product of the common factors, which are 2^2 * 5 = 20, 17, 23. Therefore

gcd(24 * 32 * 5, 23 * 34 * 55) = 20 * 17 * 23 = 29 * 3 * 5 * 7 * 11 * 13

For the second pair of integers

24 * 7 = 2^3 * 3 * 7

52 * 13 = 2^2 * 13 * 13

The gcd of these two integers is the product of the common factors, which is 2^2 = 4. Therefore

gcd(24 * 7, 52 * 13) = 4

To find two integer pairs of the form (x, y) such that 17x + 26y = gcd(17, 26) and |x| < 1000, we can use the extended Euclidean algorithm.

First, we find the gcd of 17 and 26:

gcd(17, 26) = 1

Next, we use the extended Euclidean algorithm to find integers x and y such that

17x + 26y = 1

We have

26 = 1 * 17 + 9

17 = 1 * 9 + 8

9 = 1 * 8 + 1

Working backwards, we can express 1 as a linear combination of 17 and 26

1 = 9 - 1 * 8

= 9 - 1 * (17 - 1 * 9)

= 2 * 9 - 1 * 17

= 2 * (26 - 1 * 17) - 1 * 17

= 2 * 26 - 3 * 17

Therefore, x = 2 and y = -3 is a solution to 17x + 26y = 1.

To find integer pairs (x, y) with |x| < 1000, we can multiply both sides of the equation by k, where k is an integer, and rearrange

17(kx) + 26(ky) = k

We want to find two integer pairs such that the right-hand side is equal to gcd(17, 26) = 1.

One possible solution is to take k = 1, in which case x = 2 and y = -3. Another possible solution is to take k = -1, in which case x = -15 and y = 8

17(-15) + 26(8) = 1

Both of these pairs satisfy the equation 17x + 26y = gcd(17, 26) and have |x| < 1000. Therefore

(x1, y1) = (2, -3)

(x2, y2) = (-15, 8)

To know more about greatest common divisors:

https://brainly.com/question/27962046

#SPJ4

We know that an arc is a part of the entire perimeter of a circle.

Radian is defined as a unit of plane angular measurement that is equal to the angle subtended by the circle at the center by an arc that is of the length equal to the radius

We also know that the circle as a whole contains 2π radians

Now first we are required to find the perimeter of the circle

Perimeter of the circle is given by the formula 2πr

Hence, perimeter of the circle = 2πr= 2π x 10 =20π=62.851cm

Hence value of arc in radians = 40/62.851 x 2π =0.636 x 2 π =1.272π

Radian can be converted to degree by multiplying the radian measure by 180/π

Therefore, angle subtended by arc in degrees =1.272 π x 180 /π =229.1 °

Hence the angle subtended by arc is 229.1°

For further reference:

https://brainly.com/question/7721249?referrer=searchResults

#SPJ4

The equation of a line is given by:

y = mx + c

Where m is the slope.

Slope = (d - b) / (c - a)

Where (a, b) and (c, d) are the two points.

The slope of the linear function is 3.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example: y = -3x - 4

Slope = -3 and y-intercept is -4.

We have,

A table that represents a linear function.

x  y

2  7

5  16

7  22

9  28

We can have points such as:

(x, y) = (2, 7), (5, 16), (7, 22), and (9, 28)

We can select any two points and find the slope.

(2, 7) = (a, b)

(5, 16) = (c, d)

Slope:

= (d - b) / (c - a)

= 16 - 7 / 5 - 2

= 9 / 3

= 3

Slope = 3

Thus,

The slope of the linear function is 3.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ5

If an invertible symmetric n×n matrix A has a nonzero vector v in R^n such that Av is orthogonal to v, then it means that the dot product of Av and v is equal to zero. In other words, Av . v = 0. Using th peroperties of the dot product, we can rewrite this equation as:
v . A^T v = 0

Since A is symmetric, A^T = A, and we can rewrite the equation as:
v . A v = 0
This equation can be further simplified using the properties of the dot product:
v . A v = (A v) . v = 0
From this equation, we can see that the eigenvalues of A must be either positive or negative. If the eigenvalues of A are all positive, then v . A v > 0, which contradicts the equation v . A v = 0. Similarly, if the eigenvalues of A are all negative, then v . A v < 0, which also contradicts the equation v . A v = 0.
Therefore, the only way for there to exist a nonzero vector v in R^n such that Av is orthogonal to v is if the eigenvalues of A are both positive and negative. In other words, A must have both positive and negative

eigenvalues.

Read more about nonzero vector v  here:https://brainly.com/question/30301934

#SPJ11

This postulate tells us that when we put two angles side by side with a ray touching the ray of the other angle, we are creating a new angle which is the addition of the two, and whose measure is the addition of the measures of the two angles we are contacting via a common ray.

Answer:

X = 4, Y = - 2

Step-by-step explanation:

2X - Y = 10 ( +Y)

2X = 10 + Y ( -10)

Y = 2X - 10

2X - 5Y = 18

2X - 5(2X - 10) = 18

2X - 10X + 50 = 18

50 - 8X = 18

50 - 18 = 8X

32 = 8X ( divide by 8)

X = 4

Y = 2(4) - 10

Y = - 2

Answer:

A) The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

The area of parallelogram 1 is 2 square units greater than the area of parallelogram. Option 2 is correct.

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

A₁ is the area of parallelogram 1

A₁ is the area of parallelogram 2

l₁ is the distance between the points (2,6),(0,2)

l₂ is the distance between the points (4,0)(0,2)

b₁ is the distance between the points (2,0),(0,-2)

b₂ is the distance between the points (2,6),(4,-6)

A₁ =  l₁ × b₁

A₁=4.47 ×4.47

A₁  = 19.89 sq.unit

A₂=l₂×b₂

A₂=2.82 × 6.342

A₂=17.88 sq.unit

A₁-A₂ = 19.89 sq.unit - 17.88  sq.unit'

A₁-A₂= 2.01

The area of parallelogram 1 is 2 square units greater than the area of a parallelogram.

Hence,option 2 is correct.

To learn more about the area, refer to the link;

https://brainly.com/question/11952845

#SPJ2

Answer:

length times width for area so its 5x6=30

Step-by-step explanation:

a = price for 1 adult ticket

c = price for 1 child ticket

4a + 6c = 77

6a + 4c = 83

let's multiply the first equation by -3/2 and then add both equations :

-6a - 9c = -231/2 = -115.5

6a + 4c = 83

----------------------------------------

0 -5c = -32.5

5c = 32.5

c = $6.50

6a + 4×6.5 = 83

6a + 26 = 83

6a = 57

a = 57/6 = $9.50

one adult ticket = $9.50

one child ticket = $6.50

Answer:

\(t(n) = -5^{n-1}*6\)

Step-by-step explanation:

\(t(n) = -5^{n-1}*6\)

Answer:

The angles are supplementary.

x = 31

Step-by-step explanation:

The way the two angles lay together and make a straight line shows that they are supplementary. Supplementary means that they add up to 180°

Use this idea to write an equation.

2x + 3x + 25 = 180

combine like terms

5x + 25 = 180

subtract 25

5x = 155

divide by 5

x = 31

Answer:

x = 31

Step-by-step explanation:

(3x + 25) and 2x are a linear pair and are supplementary, that is

3x + 25 + 2x = 180

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31