What is 2.31 of 5.02

Answer:

4x+20

Step-by-step explanation:

Answer:

$13.25

Step-by-step explanation:

Isaiah's thinking is correct. Compound interest does earn $341.95 more than simple interest in 60 months.

Let P be the principal amount of $7,000

Let r be the annual interest rate of 6%

Let n be the number of compounding periods per year.

Using formula for simple interest: I = Prt, the interest earned after 60 months is:

I = 7,000 × 0.06 × 5

I = $2,100.

Using formula for compound interest \(A = P(1 + r/n)^{nt}\). The amount after 60 months with monthly compounding is:

\(A = 7,000*(1 + 0.06/12)^{12*5}\\A = 7,000*1.34885015255\\A = 9441.95106785\\A = $9441.95\)

The interest earned is:

I = A - P

I = $9441.95 - $7,000

I = $2,441.95.

The difference in interest earned between compound and simple interest is:

= $2,441.95 - $2,100

= $341.95.

Read more about Interest

brainly.com/question/25793394

#SPJ1

Answer:

x=33

Step-by-step explanation:

Answer: x=33

Step-by-step explanation:

2/3x-3=19

     +3  +3

2/3x=22

Divide by 2/3 on each side

x=33

The height of the house with an angel of elevation 25° from the line of sight of the observer is equal to 10 ft to the nearest foot.

The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.

The height of the house is the sum of length from her eyes to the ground and the perpendicular length from her eyes to the top of the house.

we shall represent the perpendicular length from her eyes to the top of the house with x so that;

tan 25° = x/11 {opposite/adjacent}

x = 11 × tan 25°

x = 5.1294

height of the house = 5 ft + 5.1294 ft

height of the house = 10.1294 ft

Therefore, the height of the house with an angel of elevation 25° from the line of sight of the observer is equal to 10 ft to the nearest foot.

Know more about angle of elevation here:https://brainly.com/question/2096694

#SPJ1

Possible question:

Figure out the height of the house using these measurements. She's standing 11 feet from the house, her eyes are 5 feet from the ground, and the angle of elevation to the top of house is 25 degrees.

Answer:

(x+1)(x-3)

Step-by-step explanation:

We simply convert the solutions into roots. We take the negative of the solutions and we put it into (x - root) form.

Answer:

(x+1) (x-3)

Step-by-step explanation:

(x+1)=0

x=-1

(x-3)=0

x=3

solutions are (-1, 3) we put -1 first because x always comes before Y value.

Please mark me as brainliest. I need to rank up.

The average value for X is 9/18. Hence, the answer is D. 9.

The exponential distribution probability is given as P(X ≤ 9 ) = 1 − E−9/18. The average value for X is calculated as follows.

The expected value (mean) of an exponential distribution of a random variable X with rate parameter λ is given by E[X] = 1/λ.

In the given problem, λ = 18. Thus, the expectation of the random variable X is 1/18.

The calculation for the expected value of X can be represented as:

E[X] = 1/λ = 1/18

Thus, the average value for X can be represented as:

Average Value of X = E[X] = 1/18 = 9/18

Therefore, the average value for X is 9/18. Hence, the answer is D. 9.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ4

So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

To know more about graph,

https://brainly.com/question/29467965

#SPJ11

95% confidence that the population mean is less than 6 minutes since the upper limit of the confidence interval is below 6 minutes.

95% confidence that the population mean is within the range of 4.897 to 5.763 minutes.

The t-based 95 percent confidence interval for the population mean:

CI =\(\bar x\pm t\alpha/2 \times (s/\sqrt n)\)

\(\bar x\)  is the sample mean, s is the sample standard deviation, n is the sample size, tα=/2 is the t-value corresponding to the desired level of confidence and (s/√n) is the standard error of the mean.

The sample size is 100, the sample mean is 5.33, and the sample standard deviation is 2.207, the standard error of the mean is:

s/√n

= 2.207/√100

= 0.221

The t-value corresponding to a 95% confidence level with 99 degrees of freedom (100 - 1), look it up in a t-distribution table or use a calculator.

The t-value is approximately 1.984.

The 95% confidence interval for the population mean is:

CI = 5.33 ± 1.984 × 0.221

= [4.897, 5.763]

For similar questions on Population Mean

https://brainly.com/question/28103278

#SPJ11

The distribution of the mean, median, and mode values will depend on how skewed the distribution is. As a result, mean or mode may be larger than or less than mode.

correct answer is D.

Different measures of the center in a set of numerical data include mean, median, and mode. They each attempt to condense a dataset into a single number that may be used to represent a "typical" data point.

The "mean" value is obtained by summing all the data points and dividing the result by the total number of data points.

The middle number, or median, is obtained by placing all data points in order and choosing the middle one (or, if there are two middle numbers, the mean of those two figures).

know more about mean here

https://brainly.com/question/30112112#

#SPJ4

Check the picture below.

\(38=\cfrac{8x-4}{2}\implies 76=8x-4\implies 80=8x\implies \cfrac{80}{8}=x\implies 10=x\)

The statement is incorrect. Chi-square tests can be conducted for contingency tables of any size, not just limited to 2x2 tables.

Chi-square tests

are statistical tests used to determine the association or independence between two categorical variables. While the

2x2

contingency table is commonly used in chi-square tests, it is not the only size that can be analyzed.

Contingency tables

can have any number of rows and columns, representing different categories or levels of the variables being studied. The chi-square test of independence or goodness-of-fit can be performed on contingency tables of various dimensions, including larger tables.

For example, if we have a contingency table with three rows and four columns, it is still possible to conduct a chi-square test to examine the association between the two categorical variables represented by the table.

The chi-square test calculates the expected frequencies based on the null hypothesis of independence or a specified distribution, compares them with the observed

frequencies

, and determines if there is a significant difference. The test statistic follows a chi-square distribution with degrees of freedom determined by the table's dimensions.

Therefore, it is incorrect to state that chi-square tests can only be conducted for a 2x2 contingency table. These tests are applicable to contingency tables of any size, allowing for the analysis of associations and dependencies between categorical variables with multiple categories.

To learn more about

Chi-Square

brainly.com/question/14082240

#SPJ11

Answer:

\(6^{6}\)

Step-by-step explanation:

When the coefficient is the same (in this case it is 6), you can subtract the exponents when it's being divided.

So in this case, the exponents are 9 and 3. The 9 is being divided by the 3, So:

\(6^{9-3}\)

\(6^{6}\)

Variable used to write the equation are x,  Number of pennies and y, Number of nickels and the system of equations used is x+y=0.81 and  x+9=y.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Let the variables defined to form the system of equation are as follows:

x= Number of pennies

y= Number of nickels

Total worth of  pennies and nickels is 0.81

mathematically, x+y=0.81

Given condition,  she has 9 more nickels than pennies

mathematically, x+9=y

So, the system of equation which can be used to determine the number of pennies and the number of nickels that Kennedy has are x+y=0.81 and  x+9=y, where variables used are x and y.

Learn more about the equation, here:

https://brainly.com/question/29113090

#SPJ4

The volume of the solid is 4/5π.

The volume of a solid generated by revolving a region around a line is given by V = ∫a b π(y)2dy, where a and b are the lower and upper limits of the region, respectively, and y is a function of x.

In this case, the region is bounded by the graph of y=x3, the y-axis, and the horizontal line y=1. Therefore, the volume of the solid generated when the region is revolved about the y-axis is given by

V = ∫0 1 π(y)2dy

= ∫0 1 πx6dx

= π/7

= 4/5π

The volume of the solid is calculated using the formula V = ∫a b π(y)2dy, where a and b are the lower and upper limits of the region and y is a function of x. In this case, the lower limit is a=0 and the upper limit is b=1, since the region is bounded by the graph of y=x3, the y-axis, and the horizontal line y=1. Integrating from a=0 to b=1 gives the volume of the solid as V = ∫0 1 πx6dx = π/7 = 4/5π.

Learn more about volume here

https://brainly.com/question/16134180

#SPJ4

The formula for the surface area of the box, in terms of the length of one side of the square base (s), is A = s^2 + 4s^2 = 5s^2.

The derivative of the surface area function with respect to s, denoted as dA/ds, gives us the rate of change of the surface area with respect to the length of one side of the base.

1. The surface area of the box consists of the area of the square base and the four equal sides. The area of the square base is s^2, and each side has a length of s. Therefore, the total surface area is given by A = s^2 + 4s^2 = 5s^2.

2. To find the derivative of the surface area function, we differentiate 5s^2 with respect to s using the power rule of differentiation. The power rule states that if we have a function f(x) = cx^n, then the derivative is f'(x) = cnx^(n-1).

  Applying the power rule, we have dA/ds = d(5s^2)/ds = 10s.

3. The derivative, dA/ds = 10s, represents the rate of change of the surface area with respect to the length of one side of the square base. This means that for every unit increase in s, the surface area increases by 10s units.

  The derivative does not provide information about minimizing the amount of material used. To find the dimensions of the box that minimize the amount of material used, we need to set up an optimization problem and solve for the critical points. This involves setting the derivative equal to zero and finding the values of s that satisfy this equation. However, since the problem statement does not provide a specific volume constraint or objective function, we cannot proceed with the optimization process.

To learn more about derivative, click here: brainly.com/question/23819325

#SPJ11

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

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

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

Read more about inequality at

https://brainly.com/question/32124899

#SPJ1

The order of the outcomes is irrelevant when calculating the total outcomes of an event using combinations. We will use the formula nCr = n! / r! * (n - r)! to calculate combinations.

15 different 2-member committees are possible.

C(6,2) = 6!/(4!2!) = 15.

15 different 2-member committees are possible.

To learn more about : Combinations.

Ref : https://brainly.com/question/3901018

#SPJ1

Answer:

12.5 years

Step-by-step explanation:

Step-by-step explanation:

3/6 is the answer to your question

Answer:

1/4x=8 which also equals 32

Step-by-step explanation:

12-4=8

5/8-3/8=2/8=1/4

1/4x=8   then you would multiple each side by 4 to cancel out and 4*8=32

Answer:

420

Step-by-step explanation:

130/100x = 546

x=54600/130

x=5460/13

x=420

Given the provided information, if a woman over 35 tests positive for ovarian cancer, the probability that she actually has cancer is approximately 1.96%.

To determine the probability that a woman over 35 actually has ovarian cancer given a positive test result, we can create a contingency table and use conditional probability. Let's consider a hypothetical sample of 100,000 women:

Out of 100,000 women, 1 in every 2,500 (or 40 out of 100,000) actually has ovarian cancer. Since the test has a 0% rate of false negatives, all the women with ovarian cancer will test positive.

The test also has a 5% rate of false positives. This means that out of the remaining 99,960 women who do not have ovarian cancer, approximately 5% (or 4,998) will test positive incorrectly.

Therefore, out of a total of 5,038 positive test results (40 true positives + 4,998 false positives), only 40 are true positives for ovarian cancer. The probability that a woman who tests positive actually has ovarian cancer can be calculated as the ratio of true positives to the total positive tests:

Probability = (True Positives) / (Total Positive Tests) = 40 / 5,038 ≈ 0.00795 ≈ 0.795%

Thus, the probability that a woman over 35 actually has ovarian cancer given a positive test result is approximately 1.96%. This calculation highlights the importance of considering both the prevalence of the disease and the accuracy of the test in interpreting the results correctly.

Learn more about probability here:

brainly.com/question/31828911

#SPJ11

Answer:

2500 grams

Step-by-step explanation:

to go from kilogram to grams, u should multiply the kilograms by  1000 to get the grams

Option A is correct, h(x)=x+7 be the equation of g(x)=x+3 if it has a vertical shift of 4 units upwards

If we want to shift the graph of the function g(x) = x + 3 four units upwards, we need to add 4 to the function.

So the equation of the function with the vertical shift would be:

h(x) = g(x) + 4

Substituting the original function g(x) = x + 3:

h(x) = (x + 3) + 4

h(x) = x + 7

Therefore, the correct equation with a vertical shift of 4 units upwards is h(x)=x+7.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ4

Answer:

x = -5

Step-by-step explanation:

7 × 2 + 5 - x = 6 × 2 + 10

Multiply.

14 + 5 - x = 12 + 10.

Combine like terms.

19 - x = 24

Isolate x (I'm going to add x and subtract 24 from both sides to avoid changing signs)

-5 = x

Final answer

x = -5

The acceleration is 4.24 m^2/s

They are accelerations and vector quantities. The direction of an object's acceleration is determined by the direction of the net force acting on it. Acceleration describes the rate at which a speed changes over time.

The velocity is changing over time. The velocity is actually changing at a constant rate of 10 m/s per second. If an object's velocity is changing, it is said to be accelerating; it has acceleration.

According to question,

Acceleration = final velocity- initial velocity/ time

Final velocity = 14.8 and initial velocity = 4.2

Hence, acceleration = 14.8-4.2/2.5

=10.6/2.5

=4.24.

The acceleration is 4.24 m^2/s.

To know more about acceleration, visit:

https://brainly.com/question/25876659

#SPJ9

Answer:

48 minutes

240 at 60mph = 4 hrs.

240 at 50 mph = 4.8 hrs.

it would take an extra 60*.8 or 48 minutes

Step-by-step explanation:

The trip will be of 48 minutes longer when the speed is decreased by 10 miles per hour.

What is the formula for time?

The time is given by distance/speed. The unit of time is minutes or seconds.

When distance of 240 miles is cover by the speed of 60 miles per hour then the time take to travel this distance will be 240/60=4 hours

When distance of 240 miles is cover by the speed of 50 miles per hour then the time take to travel this distance will be 240/50=4.8 hours

The difference between 4.8 hours and 4 hours is of 0.8 hours or 0.8*60=48 minutes.

Therefore, the trip will be of 48 minutes longer.

Learn more: brainly.com/question/21061928

#SPJ2