The interest charged on a principal of2650 at an interest rateof5.11%over 30months is

Answer:

b

Step-by-step explanation:

absoulute value is never negative.

To calculate the standard deviation of discrete random variables when given standard deviation and mean, we can follow the mentioned procedure.

Determine the mean, or expected value, by adding the products of each result and its probability:

μ = n ∑ i = 1

x 1p1 + x2p2 + xnpn = x I p I

Step 2: Using the formula

σ^2=n∑i=1,

calculate the variance for the random variable.

p I ( x I − μ ) 2 .

Step 3: Take the square root of the variance to calculate the standard deviation.

A discrete random variable is one that can have just a finite number of or countably infinitely many different values. However, this does not mean that the sample space can only have a finite number of outcomes.

A random variable is one that can have several values, each of which has a certain probability of occuring. The random variable is discrete when there are a finite (or countable) number of such values.

Random variables are distinct from "regular" variables, which have a fixed (but frequently unknown) value.

To learn more about discrete random variables

brainly.com/question/17238189

#SPJ4

Based on the task content given; the solution to the equation for x 3 1/2(2 1/5x - 4 2/3) - 5 5/6 = 0 is 2 203/231

3 1/2(2 1/5x - 4 2/3) - 5 5/6 = 0

(3 1/2 × 2 1/5x) - (3 1/2 × 4 2/3) - 5 5/6 = 0

(7/2 × 11/5x) - (7/2 × 14/3) - 35/6 = 0

77/10x - 98/6 - 35/6 = 0

77/10x = 98/6 + 35/6

77/10x = 98+35 / 6

77/10x = 133/6

x = 133/6 ÷ 77/10

= 133/6 × 10/77

= 1330/462

x = 2 406/462

= 2 203/231

Learn more about simplification:

https://brainly.com/question/723406

#SPJ1

Answer:

s= 1.401

Step-by-step explanation:

subtract 5.313 from 3.912 :D

The evaluation of the equation 3 .912+s=5.313 yields; s = 1.401

According to the questions;

Hence, we must subtract 3.912 from both sides of the equation as follows;

s = 1.401

Read more on one variable equation;

https://brainly.com/question/21528555

Answer:

a plus b equals 9923

Step-by-step explanation:

Answer:

See image

depending on what is in the numerator of your question:

24 OR 15 SEE IMAGE!

Step-by-step explanation:

f(48) just means to use 48 in place of x in your work.

f(x) = 12 + x/4

f(48) = 12 + 48/4

Hopefully, your text/worksheet/screen is clear on which problem you are doing.



The required probabilities are as follows:

a) P(X=5) = 0.123

b) P(X6) = P(X=6+X=7+X=8+X=9+X=10)

c) P(X4)=P(X=0), P(X=1), P(X=2), and P(X=3)

Using a binomial random variable, the following is modeled:

There are always ten (10) persons that are being questioned.

From trial to trial, the likelihood of success (i.e., very little faith in newspapers) remains consistent (p=0.68).

The trials are impartial (a reasonable assumption, since the response of 1 of the people should not affect the response of any other)

There are just two possible results for each trial: low faith in newspapers or not.

X counts how many of the 10 trials were successful.

P(X=k) = is the probability mass function for the binomial random variable.

= \(^nC_k\times(p^k)\times(1-p)^{n-k}\)

a) P(X=5) =\(^{10}C_5\times(0.68)^5\times(0.32)^5\)≈ 0.123

b) P(X6) = P(X=6+X=7+X=8+X=9+X=10)

These may all be calculated individually, then summed together.

c) P(X4)=P(X=0), P(X=1), P(X=2), and P(X=3)

the same concept as in (b) above.

Learn more about probability learn-

brainly.com/question/11234923

#SPJ10

The number of soda bottles the machine can make per minute is 25

From the question, we have the following parameters that can be used in our computation:

The linear relation

Where we have the points

(2, 50) (6, 150)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

m = unit rate i.e the required slope

So, we have

2m + c = 50

6m + c = 150

Next, we have

4m = 100

Evaluate

m = 25

So, we have

2 * 25 + c = 50

Evaluate

c  0

So, we have

y = 25x

Hence, the equation of the line in fully simplified slope-intercept form is y = 25x

Read more about linear relation at

https://brainly.com/question/30318449

#SPJ1

Answer:

Black socks 35

White socks 31

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:1/20

Step-by-step explanation:

trust

Answer:

1/20

Step-by-step explanation:

5 divided by 100 is =20

5divided by 5 is =1

=1/20

primero vamos a calcular el lado faltante usando el teorema de pitagoras para poder obtener el lado faltante a

a=52.68 m

teniendo el lado faltante podemos calcular las razones trigonometricas

Answer:

Below

Step-by-step explanation:

Domain is the 'x' values a function can have = {-1,0,1,2,3,4}

Range is the possible 'y' values = {-2,3,6,7}

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Probability that exactly 10 flights arrive on time is 53.33%.

Given that,

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.

Recently, Southwest Air had the best rate with 80% of its flights arriving on time.

Total number flights in sample = 15

Probability that exactly 10 flights arrive on time is,

P = 10/15 × 80%

  = 0.5333

  = 53.33%

Hence the required probability is 53.33%.

Learn more about Probability here :

https://brainly.com/question/29083496

#SPJ1

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

For similar question on probability.

https://brainly.com/question/7965468  

#SPJ8

The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with

Two dots at 0

One dot at 2

Two dots at 3

Four dots each at 4, 5, and 6

One dot at 7

A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.

The data can be presented as follows;

2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6

The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.

Learn more on dot plots here: https://brainly.com/question/14217166

#SPJ1

The correct option is (d) i.e. The area of the given parallelogram will be 36 ft²

What is a Parallelogram ?

A quadrilateral with two sets of parallel sides is known as a parallelogram. A parallelogram has equal-sized opposite sides and opposite angles. Additionally, the interior angles on the same side of the transversal are additional. 360 degrees is the total of all interior angles.

The term "parallelepiped" refers to a three-dimensional shape with parallelogram-shaped faces. The base (one of the parallel sides) and height (the distance from top to bottom) of a parallelogram determine its area, respectively. The length of each of a parallelogram's four sides determines its perimeter.

Given : base of parallelogram = 4+2= 6 ft

            height of the parallelogram = 6ft

We know that, area of a parallelogram = base × height

So, Area of the given parallelogram = 6 × 6

                                                           = 36 ft²

Hence, The correct option is (d).

To learn more about Parallelogram, visit the link:

https://brainly.com/question/20526916

#SPJ1

The pattern of 324, 256, 196, 144 is the square of the even numbers in a descending order starting from 18.

A sequence is a set of things next to each other in a set order. It is also referred to as a series.

According to this question, the following sequence is given: 324, 256, 196, 144. A careful observation of these numbers shows that each is the square of even numbers.

18² = 324

16² = 256

14² = 196

12² = 144

Therefore, the pattern of 324, 256, 196, 144 is the square of the even numbers in a descending order starting from 18.

Learn more about pattern at: https://brainly.com/question/19819125

#SPJ1

The system of equations has only one solution and is the point (1, 1)

Here we have the graph of a system of equations, where we can see that both of them are linear equations.

Whenw e have a graph of a system, the solutions are all the points where the graphs of the equations intercept.

On the given graph, we can see that the two lines intersept at the point (1, 1)

So we have only one solution and is the point (1, 1)

Learn more about systems of equations by reading:

https://brainly.com/question/13729904

#SPJ1

No. The reported return rate appears lower than expected.

To determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.

First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.

Then, we can use the following formula to calculate the expected rate of return:

Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1

Plugging in the given values, we get:

n = 1 (since we are only given information for a single quarter)

Initial investment = 26,245

Ending value = 26,292

Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%

Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.

Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.

More on rate of returns can be found here: https://brainly.com/question/24232401

#SPJ1

Answer: Sina Au,Jho at Tess ay anak ng mag asawang sing ng

Roy at Aling Lita, Si Ay ay 7 taon na mas matanda kay the

at 2 taon mas bata kay Tess, Kung ang kabuyang edad ay

70. llan taon si Au?​

Step-by-step explanation:

Check the picture below.

Answer:

n=-9,-8,-7

Step-by-step explanation:

n<100

but that is the positive square root

\(-10 n is between the negative and positive square root of 100

thus, n=-9,-8,-7

The solution of the inequality n² < 100 will be less than 10.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The inequality is given below.

n² < 100

Simplify the equation, then we have

n² < 100

n² < 10²

n < 10

The solution of the inequality n² < 100 will be less than 10.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Answer:

y=-8x + 8

Step-by-step explanation:

easy

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1