If A and B are vectors such as A+3b=-3i+j and A-B=i-2j find A and B​

Answer:

6%

Step-by-step explanation:

Multiply the decimal version of 6, which is 0.06 by 100. You'll get 6%

To turn a whole number to a decimal, just 6 ÷ 100 = 0.06.

The correct answer is Amy's Compliance Adherence percentage (CA%) is approximately 66.67%.

To calculate Amy's CA% (Compliance Adherence percentage), we need to determine the number of intervals she actually worked compared to the total number of intervals scheduled.

Total intervals scheduled: 12 intervals

However, there were two incidents that affected her adherence:

Technical Issue: Amy experienced a technical issue during her first interval, resulting in a 15-minute disruption. As Arise Technical Support issued an individual waiver, this interval is not counted as non-adherent.

Interval affected: 1

Waived interval: 1

Missed Intervals: Amy completely missed three intervals in a row due to mistakenly looking at her schedule incorrectly. These intervals count as non-adherent.

Intervals affected: 3

To calculate her CA%:

Total intervals worked = Total intervals scheduled - Waived intervals - Non-adherent intervals

Total intervals worked = 12 - 1 (waived) - 3 (non-adherent)

Total intervals worked = 8

CA% = (Total intervals worked / Total intervals scheduled) * 100

CA% = (8 / 12) * 100

CA% = 66.67%

Therefore, Amy's Compliance Adherence percentage (CA%) is approximately 66.67%.

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Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer:

\(\frac{8}{14} = \frac{14}{x+2}\)  (since they're similar, set them up as a proportion to find x)

14*14 = 8(x+2) (cross multiply, solve the left side, and distribute the right side)

196 = 8x +16 (subtract 16 from both sides)

180 = 8x (divide both sides by 8)

x= 22.5 (is your answer, or C)

Step-by-step explanation:

The amount of grams that is equivalent to 3/10 of a kg is given as follows:

300 grams.

The amount of grams that is equivalent to 3/10 of a kg is obtained applying the proportions in the context of the problem.

The amount of kg is 3/10 of a kilogram is given as follows:

3/10 = 0.3kg.

(conversion of a fraction to decimal, divide the numerator by the denominator).

Each kg is composed by 1000 grams, hence the amount of grams in 0.3 kg is given as follows:

0.3 x 1000 = 300 grams.

(proportion applied to obtain the conversion).

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Answer:

15.41

Step-by-step explanation:

Answer:

15.41

Step-by-step explanation:

Applying the centroid ratio theorem, we have:

x = 37

DG = 22

AG = 44

AD = 66.

According to the centroid ratio theorem, we have:

AG = 2/3(AD)

AG = x + 7

DG = x - 15

AD = x + 7 + x - 15 = 2x - 8

Plug in the values into the equation

x + 7 = 2/3(2x - 8)

3(x + 7) = 2(2x - 8)

3x + 21 = 4x - 16

3x - 4x = -21 - 16

-x = -37

x = 37

DG = x - 15 = 37 - 15 = 22

AG = x + 7 = 37 + 7 = 44

AD = 22 + 44 = 66

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Answer:

The value of x is 37

The length of segment DG is 22 units

The length of segment AG is 44 units

The length of segment AD is 66 units

The 500 sample size and 95% confidence level will both tend to increase the width of the confidence interval.

In this question, we have been given  the combinations of sample size and confidence level.

We need to select a combinations of sample size and confidence level that will give the widest interval.

We know that the confidence level is typically set in the range of 99% to 80%. The 95% confidence interval will be wider than the 90% interval and which will be wider than the 80% interval.

As we know increasing the confidence will increase the margin of error which results in a wider interval.

But increasing the sample size decreases the width of confidence intervals, as it decreases the standard error.

This means, for the widest interval we need to select a high confidence interval and small sample size.

Therefore, the sample size = 500 and the confidence interval = 95% will give the widest interval.

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Answer:

The conclusion, since the null hypothesis was not rejected, is that the proportion of readers of the newsletter who own a Rolls Royce is significantly close to 0.6.

Step-by-step explanation:

A newsletter publisher believes that 60`% of their readers own a Rolls Royce.

This means that the null hypothesis is: \(H_{0}: p = 0.6\)

That is, that the proportion of their readers who own a Rolls Royce is of 0.6.

A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim.

The alternate hypothesis is: \(H_{a}: p \neq 0.6\)

After performing a test at the 0.020.02 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher's claim?

The conclusion, since the null hypothesis was not rejected, is that the proportion of readers of the newsletter who own a Rolls Royce is significantly close to 0.6.

The area of ΔQRS is 26.10 square units.

What is triangle?

A triangle is a closed, two-dimensional geometric shape with three straight sides and three angles.

To find the area of \($\triangle QRS$\), we can use the formula:

\($Area = \frac{1}{2} \times base \times height$\)

where the base and height are the length of two sides of the triangle that are perpendicular to each other. We can find these sides using trigonometry.

First, we need to find the length of side \($QR$\). We can use the Law of Cosines:

\($QR^2 = QS^2 + RS^2 - 2(QS)(RS)\cos(R)$\)

where \($R$\) is the angle at vertex \($R$\). Substituting the given values, we get:

\($QR^2 = 9^2 + 5^2 - 2(9)(5)\cos(57^\circ)$\)

\($QR \approx 8.02$\)

Next, we need to find the height of the triangle, which is the perpendicular distance from vertex \($R$\) to side \($QS$\). We can use the sine function:

\($\sin(R) = \frac{opposite}{hypotenuse}$\)

\($\sin(57^\circ) = \frac{height}{8.02}$\)

\($height \approx 6.51$\)

Now we can find the area of the triangle:

\($Area = \frac{1}{2} \times QR \times height$\)

\($Area = \frac{1}{2} \times 8.02 \times 6.51$\)

\($Area \approx 26.10$\) square units

Therefore, the area of \($\triangle QRS$\) is approximately \($26.10$\) square units.

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The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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Answer:

y = 15 , x = 6

Step-by-step explanation:

you can easily find y from first equation

Move y to the other side of the equation and reverse its sign

so (-11) changes to (+11) and now we have this equation

y = 15

now you must replace 15 instead of y in second equation ,then we have this equation

15 = 2x + 3

now we have to find x

move (+3) to other side of equation and reverse its sign

(+3) changes to (-3)

we have this equation now

15 - 3 = 2x

12 = 2x

x = 12 ÷ 2 = 6

Step-by-step explanation:

Fractions can be thought of as another way of seeing division. If you have one whole pizza and two people want to share it equally, they will divide it into two halves:

The bottom number of a fraction is the denominator. It tells how many parts a whole has been divided into. In this case our pizza is divided into two parts.

Multiplying fractions is fairly simple. You may want to put each fraction in its lowest terms to start. Then multiply the numerators to get a numerator and multiply the denominators to get a new denominator. And reduce or simplify the fraction to put it in its lowest terms. If you are multiplying a fraction by an integer, put the integer over one to make a fraction of it.

Examples:

Five times 4/5: Put the five over one, then multiply 5 x 4 to get 20 and 1 x 5 to get 5. Twenty can be divided evenly by 5 to give us an answer of 4.

Reciprocals of Fractions

The product of a number and its reciprocal equals 1.

Signs and Fractions

If either the denominator or numerator is negative, the fraction is considered a negative fraction. If both the denominator and the numerator are negative, the fraction is considered to be a positive fraction.

Adding two fractions of the same sign (either positive or negative) gives an answer with the same sign. You may need to give the fractions common denominators first.

Are you looking for more help with fractions? Check out this article on how to add, subtract, multiply and divide fractions. Also consider taking an online course in basic math or pre-algebra to brush up your math skills.

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The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).

In the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.

To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).

If we subtract each value in column 1 from the corresponding value in column 2, we find that:

11 - 1 = 10

22 - 2 = 20

33 - 3 = 30

44 - 4 = 40

By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.

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The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.

The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,

Z = (X - μ)/σ

Where X - random variable; μ - mean; σ - standard deviation;

Then the probability is calculated by P(Z < x), using the values from the distribution table.

The given data has the mean μ = 120 and the standard deviation σ = 18

Z- score for X =150:

Z = (150 - 120)/18

   = 1.67

Z - score for X = 156:

Z = (156 - 120)/18

  = 2

So, the probability distribution over these scores is

P(150 < X < 156) = P(1.67 < Z < 2)

⇒ P(Z < 2) - P(Z < 1.67)

From the standard distribution table,

P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254

On substituting,

P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471

Rounding off to four decimal places,

P(150 < X < 156) = 0.0247

Thus, the required probability is 0.0247.

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Since each picture takes 0.08 seconds

Since the total time is 4.8 seconds

Then to find the number of the pictures divide 4.8 by 0.08

We will start with 48/8 = 6, then

480/8 = 60

It can take 60 pictures

The answer is D

Answer:

The value of d is 17.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(d-9)/(10-9)

m=8

8=(d-9)/1

8*1=d-9

8=d-9

d=8+9

d=17

The quadratic function for the path of the basketball as it is thrown indicates;

The path of the basketball will not make the shot

The height reached is about 5.24 meters

A quadratic function is a function of the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, c, are numbers.

The function for the path of the basketball is; b(x) = (-1/7)·x² + 1.36·x + 2

The function for the location of the basketball net is; n(x) = 3 and (8 < x < 8.5), where;

n(x) = The vertical height of the basketball

Plugging in the value of the n(x) = b(x), to check if equations have a common solution, we get;

b(x) = n(x) = 3 = (-1/7)·x² + 1.36·x + 2

(-1/7)·x² + 1.36·x + 2 - 3 = 0

(-1/7)·x² + 1.36·x - 1 = 0

(1/7)·x² - 1.36·x + 1 = 0

Solving the above equation, we get;

x = (119 - √(9786))/(25) ≈ 0.803, and x = (119 + √(9786))/(25) ≈ 8.717

Therefore, the x-coordinates of the height of the path of the basketball when the height is 3 meters are 0.803 and 8.717, neither of which are within the range (8 < x < 8.5), therefore, the baseketball will not go through the net and the path will not make the shot.

Bonus; The x-coordinates of the highest point of a quadratic function, f(x) = a·x² + b·x + c is; -b/(2·a)

Therefore, the x-value at the highest point of the equation, b(x) = (-1/7)·x² + 1.36·x + 2 is; x = -1.36/(2 × (-1/7)) = 1.36 × 7/2 = 9.52/2 = 4.76

The height of the highest point is; b(9.52) = (-1/7)·(4.76)² + 1.36·(4.76) + 2 ≈ 5.24 meters

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Answer:

276.2 rounded to the nearest 10th is 276.2.....

Step-by-step explanation:

Answer:276.2...

Step-by-step explanation:

Answer:The distribution of favorite color is the same for each eye-color group.

Step-by-step explanation: A EDGE22

Answer:

march

Step-by-step explanation:

the negatives are all lower then 0, hope this helps

Answer:

It's march.

Step-by-step explanation:

Answer:

y=2x+6

Step-by-step explanation:

Answer:

E because if she needs 1/4 more than what she already has then you have to multiply 1/4 of the wood she already has and add the wood that she already has

Answer:

OMGGG I NEED THIS QUESTIONNN TOOOOOOWANNA WORK ON IT

Answer:

225sqft with 1in -> 5ft  = 9sqin

147sqft with 1in -> 7ft = 3sqin

256sqft with 1in ->8ft = 4sqin

128sqft with 1in -> 4ft = 8sqin

Step-by-step explanation:

To change from feet to inches, you just divide by the scaling factor (5, 7, 8, or 4) in this problem.  But because it is square feet to square inches, you must divide by the square of the scaling factor:

5*5 = 25

7*7 = 49

8*8 = 64

4*4 = 16

So:

225/25=9

147/49 = 3

256/64 = 4

128/16 = 8

Answer:

the set of all real numbers -1≤y≤1

Step-by-step explanation:

according to the definition of 'sin'-function, the max value of it is '+1' and the min is '-1'. Finally, the correct answer is B. the set of all real numbers -1≤y≤+1.

For a dilation with a scale factor not equal to one, the angles and side lengths of the preimage relate to the angles and side lengths of the image because: B. Angles are congruent, side lengths are proportional.

In Geometry, dilation is a type of transformation which changes the size of a geometric figure and the location of its points based on the scale factor, but not its shape.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric figures (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either enlarge or reduce their size.

Generally speaking, the angles and side lengths of the preimage and image are congruent and proportional when the dilation of any geometric figure with a scale factor that is not equal to one (1).

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A. The following are sets A and B:

A = {2, 3, 5, 7, 11}

B = {1, 2, 3, 4, 6, 12}

C. Elements not in A or A' = ∅

B. The Venn diagram is attached

A universal set is a set which consists of all elements related to the given sets. It is denoted by U.

A. Set A:

A = {2, 3, 5, 7, 11}

Set B:

B = {1, 2, 3, 4, 6, 12}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A' = {1, 4, 6, 8, 9, 10, 12}

C. Elements not in A or A' = ∅

Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.

Hence, the Venn diagram of sets A, B and U has been attached.

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Answer:

-7x^2 +9x-ki

Step-by-step explanation:

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\(y= [-7-6]\)

\(y = -13\)

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Have a great day/night!

❀*May*❀