Solve for x.
23
13
[21

Answer:

Jenelle invested $ 13,000 in Fund A and $ 4,000 in Fund B.

Step-by-step explanation:

Given that Jenelle invested $ 17000 in two mutual funds, and Fund A earned 4% profit during the first year, while Fund B suffered a 1.5% loss, if she received a total of $ 460 profit, to determine how much had she invested in each mutual fund, the following calculation must be performed:

17000 x 0.04 - 0 x 0.015 = 680

15000 x 0.04 - 2000 x 0.015 = 570

10,000 x 0.04 - 7000 x 0.015 = 295

12500 x 0.04 - 4500 x 0.015 = 432.5

13000 x 0.04 - 4000 x 0.015 = 460

Therefore, Jenelle invested $ 13,000 in Fund A and $ 4,000 in Fund B.

Answer:

a) The value of q is 0.2.

b) E(X) = 1.85.

Step-by-step explanation:

Question a:

The sum of all the probabilities must be 1. So

[tex]0.3 + x + 0.1 + 0.15 + 0.25 = 1[/tex]

[tex]x + 0.8 = 1[/tex]

[tex]x = 0.2[/tex]

The value of q is 0.2.

Question b:

Multiplication of each value of x by its probability. So

[tex]E(X) = 0*0.3 + 1*0.2 + 2*0.1 + 3*0.15 + 4*0.25 = 1.85[/tex]

So the answer is E(X) = 1.85.

Answer:

Suppose the one number be x

And the other number be 6x

The sum of two numbers is 5

x+6x=5

7x=5

X=5/7

Therefore

One number be 5/7

And other number be 6 * 5/7=30/7

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Answer:

180°

Step-by-step explanation:

it's half of a circle

The angle AXG is a straight line. The measure of a straight line would be 180

The measure is 180

Answer:

It would be 1/35.

Step-by-step explanation:

You turn 5 into 1/5 and then multiply 1/7 with 1/5, which is 1/35.

The value of the expression 1/7 divided by 5 is,

⇒ 1 / 35

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The expression is,

⇒ 1/7 divided by 5

Now, We can simplify as;

⇒ 1/7 divided by 5

⇒ 1 / 7 ÷ 5

⇒ 1 / 7×5

⇒ 1 / 35

Thus, The value of the expression 1/7 divided by 5 is,

⇒ 1 / 35

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Answer:

C. A = 0.5*d1*d2

D. A = bh

Step-by-step explanation:

The area of the rhombus can be found depending on what information is made available to us.

If given the lengths of the two diagonals (d1 and d2) of a rhombus which bisect each other, therefore, the formula for finding the area would be:

A = 0.5*d1*d2

Also, if we are given the height (h) and side (b), the formula to use would be:

A = bh

Answer:

For Q. 17 I believe it's "the function has a minimum at -1" take this answer with a grain of salt but the other three seem to be true and I don't know how to solve this one so I'm assuming it's the false one.

Answer:

1. Obtuse angle

2. 5

3. 117

Step-by-step explanation:

1. Any angle that is wider than 90 degrees is obtuse.

2. 180 = straight angle so, 180-140=40 8x5=40 so x=5

3. Supplementary angles are one angle that is 180 so, 180-63= 117

Answer:

The answer should be $57000(1.025)²⁰ = $93,401

Step-by-step explanation:

Answer: Graph D

Step-by-step explanation: Got it right on plato

The graph of a function with the same amplitude as m(x) is graph D.

The general cosine function is written as:

f(x) = A*cos(kx) + M

Where A is the amplitude, k is the angular frequency, and M is the midline.

In our case:

m(x) = -2*cos(x+π).

The amplitude is -2, which means that the distance between a peak and a trough must be twice the absolute value of the amplitude:

2*|-2| = 4

With this in mind, the only graph that meets this requirement is the graph D.

If you want to learn more about cosine functions, you can read:

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Answer:

the formula for finding cone volume is V=πr²× 1/3

Step-by-step explanation:

230=3.14×x²×1/3

we have to solve for X that is our radius

14.8

Answer

Calculate Volume ... the length and mass measurements all had 3 significant figures.

Step-by-step explanation:

G O O G L E

9514 1404 393

Answer:

  C. 6 > 3

Step-by-step explanation:

It is true that 6 is greater than 3.

__

All negative numbers are less than any positive numbers.

We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.

Answer:

16.97

Step-by-step explanation:

Answer: Hi your question is poorly structured I believe your question is construct a pareto chart to show the major problem areas

answer : attached below is the pareto chart.

Step-by-step explanation:

      Rearranged table starting from highest frequency

The type of Nonconformity                             Frequency      Percentage

     Heel separation                                               92                   40.89

     sole penetration                                              60                     26.67

       Sole separation                                              36                     16

       Other                                                               16                      7.11

      Lace breakage                                                13                       5.8

     Eyelet failure                                                      8                      3.5

Total = 36 + 13 + 92 + 8 + 60 + 16 = 225

Next step : determine the percentages of the various Nonconformity

sole separation = 36 / 225 ) * 100 = 16%

lace breakage = ( 13/225 ) * 100 = 5.8% = 6%

Heel separation = ( 92/225 ) * 100 = 40.89% = 41%

Eyelet Failure = ( 8 /225 ) * 100 = 3.5% = 4%

sole penetration = ( 60 / 225 ) * 100 = 26.67% = 27%

other = ( 16 / 225 ) * 100 = 7.11% = 7%

Next plot the Two columns using excel to show the Pareto chart attached below is a screen shot of the plot

Answer:

A or g(x) = f(x − 3) + 3

Step-by-step explanation:

Answer:

i. A = $25 t + $150

ii. B = $35 t + $100

iii. Number of hours = 5

Step-by-step explanation:

For company A:

A = $25 t + $150

where A is the amount charged and t is the number of hours of landscaping.

For company B:

B = $35 t + $100

where B is the amount charged and t is the number of hours of landscaping.

When the time  is 5 hours, then:

i. A = $25 t + $150

     = $25 (5) + $150

     = $125 + $150

A = $275

ii. B = $35 t + $100

      = $35(5) + $100

      = $175 + $100

B = $275

Therefore, the number of hours that would make the cost of each company to be the same is 5 hours.

Answer:

D. (12 x 10) + (5 x 4)

Step-by-step explanation:

If you draw a line separating the big square from the little square,  you have a 12 x 10 large square, and a 5 x 4 smaller square. We know the second dimension of the small square because the large square takes 10ft off of the total length of 4ft.

Calculate both areas separately, then add them together.

Answer:

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Answer::112

Step-by-step explanation:

The standard deviation of the distribution is 1.08.

Option B is the correct answer.

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

We have,

To find the standard deviation of the distribution, we first need to calculate the expected value (mean) of X.

The expected value of X is:

E(X) = (4)(0.4) + (3)(0.32) + (2)(0.17) + (1)(0.08) + (0)(0.03)

= 1.6 + 0.96 + 0.34 + 0.08 + 0

= 2.98

Next, we need to calculate the variance of X:

Var(X) = (4 - 2.98)²(0.4) + (3 - 2.98)²(0.32)

+ (2 - 2.98)²(0.17) + (1 - 2.98)²(0.08) + (0 - 2.98)²(0.03)

= 0.64(0.4) + 0.0004(0.32) + 0.7921(0.17) + 5.4084(0.08) + 8.6404(0.03)

= 0.256 + 0.000128 + 0.134257 + 0.432672 + 0.259212

= 1.082

The standard deviation of X is the square root of the variance:

So,

SD(X) = √(Var(X))

= √(1.082)

= 1.04 (approximately)

Thus,

The standard deviation of the distribution is 1.08.

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Answer:

[tex]x = 55°[/tex]

Step-by-step explanation:

L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.

[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]

Using the equation of ellipse, the height of the logo is 7.6cm

The equation of ellipse having a center (h, k) is given as;

[tex]\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1[/tex]

where a is the semi-major axis and b is the semi-minor axis. The major axis is the longer of the two axes, and the minor axis is the shorter of the two axes. The center of the ellipse is the point (h, k).

The graph of an ellipse is a closed curve that is similar to a circle, but it is not a circle. The ellipse is wider than it is tall if a > b, and it is taller than it is wide if a < b.

In the given problem;

The equation for an ellipse is

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1,[/tex] where a is the semi-major axis and b is the semi-minor axis. In this case, a = √64 = 8 and b = √14.44 = 3.8

Since b = 3.8, the height of the logo = 2b = 2 * 3.8 = 7.6cm

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Answer:

183136 is the correct answer

Answer:

i think the answer is 12 and 18

Answer:

c- use 1.0 as an estimate

Step-by-step explanation: