(X+5)(2X -7) x approach 3
Evaluate limits

The PERCENTAGE ANNUAL RATE is 9.0% to the nearest tenth using the SIMPLE INTEREST FORMULA

The question is related to a SIMPLE INTEREST problem:

Loan period = 60 days

using 365 days a year ;

converting to years , 60 days = (60 / 365) years

interest on loan = 73.97

principal = 5000

Using the formula:

interest = (principal * rate * time)

73.79 = (5000 * rate * (60/365)

Rate = 73.79/(5000 * (60/365)) =8.977%

rate = 9%

Therefore, PERCENTAGE ANNUAL RATE is 9.0%

Learn more : https://brainly.com/question/3880193

The correct image include the following: B. Green: image A.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying a rotation of 270° clockwise about the point (1, 2) to the coordinate of the vertices of blue block D, the coordinate the vertices of of its image would be located at the position of the Green: image A.

In this context, we can reasonably infer and logically deduce that Green: image A is the correct transformed shape.

Read more on rotation here: brainly.com/question/28854313

#SPJ1

Answer:

Null, H0 : μ = 417

Alternative, H1 : μ ≠ 417

Step-by-step explanation:

Given that :

The mean grams by a bag filling machine μ = 417

Hence, the null hypothesis is That bag filling machine works correctly at 417 grams setting

The alternative hypothesis will negate the null ; In this question, the alternative hypothesis looks at the possibility of either overfill or underfill, which In straightforward terms means that the 417 g ram setting for the bag filling machine is incorrect.

Hence,

Null, H0 : μ = 417

Alternative, H1 : μ ≠ 417

Answer:

2x^7

Step-by-step explanation:

add the exponents because they both are x

2x^4*x^3=2x^7

The probability is \(0.0922 approx\) \(9.22%\)%

Probability theory is an area of mathematics that determines the likelihood that an event will occur or a claim will be true.

The probability of an event is a number between\(0\) and \(1\), where \(0\) is the likelihood of the event occurring and \(1\) is the chance that it will happen.

The probability that a certain event will occur is simply represented numerically as a probability.

The percentages \(0%\)% to \(100%\)% or even\(0\) to\(1\) can be used to express probabilities.

The probability of occurrence in an entire set of equally likely possibilities that results in a particular event divided by the number of outcomes.

We need to know the standard deviation of the sampling distribution of the mean in order to calculate the likelihood that the sample mean will be within one week of the population mean.

The standard error of the mean can be calculated as follows if the population standard deviation is known:

These steps are used to compute standard error: sample size squared / standard deviation of the population

If the sample standard deviation is unavailable, we can estimate the population standard deviation and compute the standard error of the mean as follows:

These steps are used to compute standard error: sample size squared / standard deviation of the population

If we assume that the population's standard deviation is \(1\), we can use the standard error of both the mean formula to determine

The probability  that a simple random sample of \(55\) unemployed people will somehow generate a sample mean that is within one week of the population average. In this context, "within one week" means within one standard error of something like the population mean, or one.

The standard error of the mean for a sample size of \(55\)

Standard error =\(\frac{1}{\sqrt{55} }\)

 error                 ≈\(0.1348\)

To find the probability that a sample mean is within one standard deviation of the population mean, we can use the standard normal distribution with a mean of \(0\) and a standard deviation of \(1\).

We want to find the probability that a z-score is between \(-1 and 1\), which represents one standard deviation from the mean.

This chance is roughly \(0.6827\), as determined by a calculator or a conventional normal distribution table.

In light of this, the probability  that a straightforward random sample of \(55\) unemployed people will yield a possession of tiny sums that is close to the population mean in just one week is approximately:

\(0.6827*0.1348= 0.0922\)(rounded to four decimal places) (rounded to four decimal places)

Therefore , the probability is \(0.0922\), or roughly\(9.22%\)%.

https://brainly.com/question/11234923

#SPJ1

The equation of the least-squares line predicting wins from payroll is:

y = -6.37 + 0.1*x

The equation of the least-squares line predicting wins from payroll can be calculated using the following formula:

y = b0 + b1*x

where y is the dependent variable (number of wins), x is the independent variable (payroll in millions of dollars), b0 is the y-intercept of the line, and b1 is the slope of the line.

To calculate the values of b0 and b1, you can use the following formulas:

b1 = r*(\(\frac{sy}{sx}\))

b0 = mean(y) - b1*mean(x)

where r is the correlation coefficient between x and y, sx is the standard deviation of x, and sy is the standard deviation of y.

Using the values provided in the table, we can calculate the equation of the least-squares line as follows:

b1 = 0.393*(\(\frac {3.12}{12.34}\)) = 0.1

b0 = 7.75 - 0.1*142.1 = -6.37

Therefore, the equation of the least-squares line predicting wins from payroll is:

y = -6.37 + 0.1*x

To learn more about standard deviation, visit:

brainly.com/question/23907081

#SPJ4

Answer:

68

Step-by-step explanation:

=> g²+13g

putting the value of g which is 4

=> 4²+13(4)

=> 16+52

=> 68

Answer:

68

Step-by-step explanation:

We simply just plug in 4 for g since the problem states that "g=4"

Which turns our expression to "\(4^{2} +13(4)\)"

_________________________

We start by calculating what \(4^{2}\) equals which is 16 (4 * 4)

Now we do 13 times 4 which is 52

52 + 16 = 68

Answer:

We don't need to worry about the displaystyle- {3} −3 anyway, because we dcided in the first step that displaystyle {x}ge- {2} x ≥ −2. So the domain for this case is displaystyle {x}ge- {2}, {x}ne {3} x≥ −2,x≠ 3, which we can write as displaystyle {left [- {2}, {3}right)}cup {left ({3},inftyright)} [−2,3)∪(3,∞).

Step-by-step explanation:

6.5 pints.

3.25 x 2 = 6.5 (There are 2 pints in a quart)

Answer:

Where's the graph?

Step-by-step explanation:

Answer:

True

Explanation:

3 feet is 1 yard so 13/3 is 4.3 yards approximately

True

\( \frac{1 \: yard}{3 \: feet} = \frac{x \: yard}{13 \: feet} \)

3x = 13

\(x = \frac{13}{3} yards\)

A function assigns the values. The interval for which the given function will be decreasing is (-∞, -1)∪(0,∞).

A function assigns the value of each element of one set to the other specific element of another set.

The interval for which the given function will be decreasing is from point A to point B, and then from point C to point D. Therefore, the interval will be (-∞, -1) and (0,∞). Hence, The interval for which the given function will be decreasing is (-∞, -1)∪(0,∞).

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

To know more about Probability .

https://brainly.com/question/13604758

#SPJ11

Answer: 2 2/5 is answer decimal answer is 2.4

Step-by-step explanation:

hope this helpss!!

Answer:

$456.45 should be budgeted.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean $440 and standard deviation $10.

This means that \(\mu = 440, \sigma = 10\)

How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05?

This is x for which

P(X > x) = 0.05

So this is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95, so X when Z = 1.645.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.645 = \frac{X - 440}{10}\)

\(X - 440 = 10*1.645\)

\(X = 456.45\)

$456.45 should be budgeted.

Answer:

i dont know

Step-by-step explanation:

Answer:

WF=34

Step-by-step explanation:

Point I lies between points W and F.

It means point WI + IF = WF

SO WI + IF = WF

WF = 15x – 21

WI= 7x-3

IF= 2x+4

WI + IF = WF

7x-3 +2x+4= 15x-21

7x+2x-15x= -21-4+3

-6x = -22

X= -22/6

X= 11/3

So WF = 15x – 21

WF= 15(11/3) -21

WF= 55-21

WF=34

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

for such more question on placement

https://brainly.com/question/16927451

#SPJ8

Answer:

The answer is 83

Step-by-step explanation:

You have to mutiply them all then divide

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

Read more about volume at

brainly.com/question/463363

#SPJ1

The amplitudes of functions are a) 8 and b) 6.

Given are the functions we need to determine the amplitude of function,

a) y = 8 Sin (x/2) + 3

b) y = 6 Cos x + 2

So,

To determine the amplitude of a trigonometric function, you can follow these steps:

For a sine function of the form y = A×sin(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

For a cosine function of the form y = A×cos(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

Let's apply these steps to the given functions:

a) y = 8×sin(x/2) + 3

The coefficient of sin in this function is 8, so the amplitude is |8| = 8.

Therefore, the amplitude of function a) is 8.

b) y = 6×cos(x) + 2

The coefficient of cos in this function is 6, so the amplitude is |6| = 6.

Therefore, the amplitude of function b) is 6.

Hence the amplitudes of functions are a) 8 and b) 6.

Learn more about amplitude click;

https://brainly.com/question/9525052

#SPJ1

Answer 3.04 x 10^-2

I hope that helps!

The value of y from x= 0 to x = 3 is: y = 5(2)⁰ = 5, y = 5(2)¹ = 10, y = 5(2)² = 20, y = 5(2)³ = 40. The most rapid rate of change is: y = 7ˣ. The constant 1.20 is greater than 1 thus, the function is exponential growth.

The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

The given function is:

y = 5(2)ˣ

The value of y from x= 0 to x = 3 is:

y = 5(2)⁰ = 5

y = 5(2)¹ = 10

y = 5(2)² = 20

y = 5(2)³ = 40

The most rapid rate of change as x increases beyond 0 is:

y = 7ˣ

This is observed as the graph increases rapidly with change in value of x.

3. y = (1.20)ˣ

The constant 1.20 is greater than 1 thus, the function is exponential growth.

Learn more about exponential function here:

https://brainly.com/question/15352175

#SPJ1

Answer:

52

Step-by-step explanation:

40(x)=52

Answer:

50°

Complentary angles are two angles that sum up to 90°

So 50+40=90

The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

For more such questions on triangle

https://brainly.com/question/1058720

#SPJ8

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

Learn more about numbers in https://brainly.com/question/24908711

#SPJ1

Answer:

The image is larger..........

Answer:

Pull terms out from under the radical, assuming positive real numbers.

0

Step-by-step explanation:

Answer:

(0.5X) - 3 = Distance from the finish line

Step-by-step explanation:

Given that a student is running a 3-kilometer race, and runs 1 kilometer every 2 minutes, to determine the function that describes the distance from the finish line after X minutes, the following calculation must be performed:

1 = kilometers for every 2 minutes

X = every number of minutes

1/2 = 0.5 = kilometers per minute

(0.5X) - 3 = Distance from the finish line

Thus, if the student runs for 4 minutes, the equation would operate as follows:

0.5 x 4 - 3 = X

2 - 3 = X

-1 = X

Answer:

96π

Step-by-step explanation:

the shape is made up of a cylinder and a cone.

Volume of cylinder = π r ² h

= π (3)² (9)

= 81π.

Volume of cone = (1/3) X vertical height X π r ²

= (1/3) (5) π (3)²

= 15π

volume of composite solid = 81π + 15π = 96π