Get a similar question You can retry this question below
In your investment portfolio, 25% of your stocks are in Company A with a return rate of 6%, 40% of
your stocks are in Company B with a return rate of 2.5%, and the rest of your stocks are in Company
C with a return rate of 2%. Use a weighted mean to find your average return rate.
Average return rate=

Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

Answer: Distance = √17

Concept:

Here, we need to know the concept of the distance formula.    

The distance formula is the formula, which is used to find the distance between any two points.

Distance Formula = \(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Given information

(x₁, y₁) = (-2, 5)

(x₂, y₂) = (2, 6)

Given formula

\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Substitute values into the formula

\(Distance=\sqrt{(2+2)^2+(6-5)^2}\)

Simplify value in the parentheses

\(Distance=\sqrt{(4)^2+(1)^2}\)

Simplify exponents

\(Distance=\sqrt{16+1}\)

Simplify by addition in the square root

\(\boxed{Distance=\sqrt{17}}\)

Hope this helps!! :)

Please let me know if you have any questions

Solving a system of equations we will see that Edmund will plant 4 yellow tulips and 8 white lilies.

Let's define our variables as:

We know that for each yellow tulip he will plant two white lilies, then:

y  = 2x

And we also know that he wants to plant 12 flowers, so:

x + y = 12

Then we have a system of equations:

x + y = 12

y  = 2x

Substituting the second equation into the first one, we will get:

x + 2x = 12

3x = 12

x = 12/3

x = 4

Then the value of y is:

y = 2x

y = 2*4 = 8

Then he will plant 4 yellow tulips and 8 white lilies.

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

Determining the diameter of tin:

Since there is no indication of dimensions, represent the diameter with a variable 'd' and find the diameter of the tin according to the given condition in the problem.

Here we have assumed that the diameter of the tin is 'd' in reality and the diameter of the tin picture can be calculated as given below.  

Here we have

A ricoffy tin container with no dimensions indicated

Let d and h be the diameter and height of the tin

Given that the container is 2/5 times smaller than d

then the diameter of the tin in the picture \(= d - 2/5(d)\)

\(= [5d - 2d]/5 = 3d/5\)

Therefore, The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

Learn more about diameter here:

https://brainly.com/question/5501950

#SPJ1

Given:

\(\dfrac{dr}{dt}=1.4\text{ in/s}\)

\(\dfrac{dh}{dt}=-2.1\text{ in/s}\)

To find:

The rate of change in volume at \(r=120\text{ in. and }175\text{ in.}\)

Solution:

We know that, volume of a cone is

\(V=\dfrac{1}{3}\pi r^2h\)

Differentiate with respect to t.

\(\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right]\)

Substitute the given values.

\(\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right]\)

\(\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right]\)

\(\dfrac{dV}{dt}=\dfrac{22}{21}\times 28560\)

\(\dfrac{dV}{dt}=29920\)

Therefore, the volume of decreased by 29920 cubic inches per second.

Answer:

no it is not

Step-by-step explanation:

8 × 1 does not equal 2

Answer:

  -6 ≤ x < ∞

Step-by-step explanation:

You want the domain of the function y = √(x+6) -7.

The domain of a function is the set of x-values for which the function is defined. On a graph, it is the horizontal extent of the graph.

The square root function is undefined for negative arguments, so that limits the domain of the given function:

  x+6 ≥ 0

  x ≥ -6 . . . . . domain of the given function

__

Additional comment

When the domain is written in interval notation, both the left and right ends of the interval must be specified.

  [-6, ∞)

The square bracket identifies -6 as being part of the domain. The parenthesis is used with ∞, because that number has no specific value.

Answer:

Step-by-step explanation:

14 mins

this is because if we divide 2 but 1/2 you would get 4

since she can run 1/2 a mile in 3 1/2 mins

we should multiply the 3 1/2 buy 4

this would lead to the answer 14

Answer:

= 8.24 × 10³

(scientific notation)

= 8.24e3

(scientific e notation)

= 8.24 × 103

(engineering notation)

(thousand; prefix kilo- (k))

= 8240

(real number)

How do you convert from scientific notation to standard form?

To change a number from scientific notation to standard form, move the decimal point to the left (if the exponent of ten is a negative number), or to the right (if the exponent is positive). You should move the point as many times as the exponent indicates.

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

-5/3

Step-by-step explanation:

m1 = 3/5

m1 * m2 = - 1. For a pair of perpendicular line.

Usking that m2 = - 5/3

Answer:

B. Line

Step-by-step explanation:

got it right on edge 2021

Answer:

line

Step-by-step explanation:

The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

\(~~~~~~~4x^2-12x+9=0\\\\\implies (2x)^2-2 \cdot 2x \cdot 3+3^2 = 0\\\\\implies (2x-3)^2 = 0\\\\\implies 2x -3 = 0\\\\\implies x =\dfrac 32\)

Answer:

Step-by-step explanation:

4 I think not sure

Total area painted is 313.5 ft² and the total number of CANS needed is 5.

A quadrilateral with just one pair of sides that are parallel. It is used in numerous fields and is a common shape in mathematics. A trapezoid's area is determined by multiplying the height by half of the sum of the two bases' lengths.

A trapezoid is a quadrilateral or a four-sided polygon that has one sets of equal sides. In North America, it is also known as a trapezoid. A trapezium's other two sides are usually not parallel and may be different lengths.

We know that the deck is in trapezium figure, So the

Area of trapezium = 1/2 (sum of parallel line) × height

Area of trapezium = 1/2 ( 14 + 24 ) × 16.5

Area of trapezium = 313.5 ft²

Therefore, total area painted = 313.5 ft²

Total number of CANS needed =  total area /one can of paint covers

Total number of CANS needed = 313.5/72 = 4.35 = 5 cans needed

To know more about trapezoid, visit:

https://brainly.com/question/16725694

#SPJ1

Complete question and its diagram-

The solution by using the quadratic formula is,

x = 4 + 2√6 i / 4   and x = 4 - 2√6 i / 4

What is Quadratic formula?

To solve a quadratic equation ax²+ bx + c = 0 , we use the quadratic formula,

x = - b ± √b² - 4ac / 2a

The given expression is;

- 2x² + 4x = 5

Now, The given equation is solve by using Quadratic formula as;

- 2x² + 4x = 5

Move terms to the left side

- 2x² + 4x - 5 = 0

- ( 2x² - 4x + 5 ) = 0

2x² - 4x + 5 = 0

Compare with quadratic equation ax²+ bx + c = 0 we get;

a = 2, b = -4, c = 5

Since, Quadratic formula is,

x = - b ± √b² - 4ac / 2a

Hence, Substituting all the values of a, b and c in quadratic formula we get;

x = - (-4) ± √(-4)² - 4*2*5 / 2*2

x = 4 ± √16 - 40 / 4

x = 4 ± √-24 / 4

x = 4 ± 2√-6 / 4             ( Since, i = √-1  )

x = 4 + 2√6 i / 4   and x = 4 - 2√6 i / 4

So, The solution by using the quadratic formula is,

x = 4 + 2√6 i / 4   and x = 4 - 2√6 i / 4

Learn more about the quadratic formula visit;

https://brainly.com/question/8649555

#SPJ1

The vertex form of the quadratic equations in standard form are, respectively:

Case 9: y = 2 · (x + 2)² - 12

Case 10: y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11: y = 3 · (x - 4 / 3)² - 16 / 3

Case 12: y = - 3 · (x - 3)²

Case 13: y = (x - 4)² + 3

Case 14: y = (x - 1)² - 7

Case 15: y = (x + 3 / 2)² - 9 / 4

Case 16: 2 · (x + 1 / 4)² - 1 / 8

Case 17: y = 2 · (x - 3)² - 7

Case 18: y = - 2 · (x + 1)² + 10

In this problem we find ten cases of quadratic equation in standard form, whose vertex form can be found by a combination of algebra properties known as completing the square. Completing the square consists in simplifying a part of the quadratic equation into a power of a binomial.

The two forms are introduced below:

Standard form

y = a · x² + b · x + c

Where a, b, c are real coefficients.

Vertex form

y - k = C · (x - h)²

Where:

Now we proceed to determine the vertex form of each quadratic equation:

Case 9

y = 2 · x² + 4 · x - 4

y = 2 · (x² + 2 · x - 2)

y = 2 · (x² + 2 · x + 4) - 12

y = 2 · (x + 2)² - 12

Case 10

y = - (1 / 2) · x² - 3 · x + 3

y = - (1 / 2) · [x² + (3 / 2) · x - 3 / 2]

y = - (1 / 2) · [x² + (3 / 2) · x + 9 / 16] + (1 / 2) · (33 / 16)

y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11

y = 3 · x² - 8 · x

y = 3 · [x² - (8 / 3) · x]

y = 3 · [x² - (8 / 3) · x + 16 / 9] - 3 · (16 / 9)

y = 3 · (x - 4 / 3)² - 16 / 3

Case 12

y = - 3 · x² + 18 · x - 27

y = - 3 · (x² - 6 · x + 9)

y = - 3 · (x - 3)²

Case 13

y = x² - 8 · x + 19

y = (x² - 8 · x + 16) + 3

y = (x - 4)² + 3

Case 14

y = x² - 2 · x - 6

y = (x² - 2 · x + 1) - 7

y = (x - 1)² - 7

Case 15

y = x² + 3 · x

y = (x² + 3 · x + 9 / 4) - 9 / 4

y = (x + 3 / 2)² - 9 / 4

Case 16

y = 2 · x² + x

y = 2 · [x² + (1 / 2) · x]

y = 2 · [x² + (1 / 2) · x + 1 / 16] - 2 · (1 / 16)

y = 2 · (x + 1 / 4)² - 1 / 8

Case 17

y = 2 · x² - 12 · x + 11

y = 2 · (x² - 6 · x + 9) - 2 · (7 / 2)

y = 2 · (x - 3)² - 7

Case 18

y = - 2 · x² - 4 · x + 8

y = - 2 · (x² + 2 · x - 4)

y = - 2 · (x² + 2 · x + 1) + 2 · 5

y = - 2 · (x + 1)² + 10

To learn more on quadratic equations in vertex form: https://brainly.com/question/29260906

#SPJ1

Answer:

I can't see the picture

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

-191/162

▹ Step-by-Step Explanation

Answer:

-191/162

Step-by-step explanation:

Substitute the numbers for the variables:

64 1/2 - 27 1/3 ÷ 27 - 64 2/3

Convert the mixed numbers to improper fractions:

129/2 - 82/3 * 1/27 - 194/3

Multiply the improper fractions:

129/2 - 82/81 - 194/3

= -191/162

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

I'm confused, I'm not sure if the 12 you added to the problem is like the number of the problem or part of the problem, but my answer is going to be with the 12 as part of the problem.

Answer:  19/4 or 4 3/4 or 4.75

Step-by-step explanation: First you have to use the PEMDAS, which means first you have to do the parenthesis first, so add the 1/4 to the 1/3 which equals 7/12. so do that to the second power and then multiply the 12 and add the 2/3 which gets you 19/4

Answer:

It's 12

Step-by-step explanation: yup

Answer:

12

Step-by-step explanation:

x/18=8/12

*Multiply both sides by 18

x=144/12

x=12

The probability of the sample mean being between 390 grams and 399 grams is 0.3845.

What is the definition of probability?

Probability is a measure of likelihood of an event to occur. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

If we flip a fair coin, the chance of receiving heads is 0.5 (or 50%) since there are only two potential outcomes, both of which are equally likely. Similarly, the likelihood of getting a 4 on a fair six-sided dice is 1/6 or about 0.167 (or 16.7%).

Now,

To solve this problem, we can use the central limit theorem, which states that the sample mean of a large enough sample will be approximately normally distributed, regardless of the distribution of the population.

The sample size of 10 is large enough to apply the central limit theorem, and we can use the formula for the standard error of the mean:

SE = σ / √(n)

Plugging in the values given in the problem, we get:

SE = 28 / √(10) ≈ 8.85

z = (x - μ) / SE

Where x is the sample mean, μ is the population mean, and SE is the standard error of the mean calculated above.

For the lower bound of 390 grams:

z = (390 - 396) / 8.85 ≈ -0.678

For the upper bound of 399 grams:

z = (399 - 396) / 8.85 ≈ 0.339

Using a standard normal distribution table or calculator, we can find the probabilities associated with these z-scores.

The probability of the sample mean being less than 390 grams is approximately 0.2486, and the probability of the sample mean being less than 399 grams is approximately 0.6331.

Therefore,

                 the probability of the sample mean being between 390 grams and 399 grams is:

0.6331 - 0.2486 ≈ 0.3845.

To know more about probability visit the link

brainly.com/question/30034780

#SPJ1