help plslslslsss giving out 11 points pls no links id appreciate it

Answers

Answer 1

The expression that is the difference of two squares is [tex]9a^2 - 4b^6[/tex]

How to find the expression that is the difference of two squares?

The difference of two squares is an algebraic expression of the form a² - b², which can be factored as (a + b)(a - b).

Using this rule, we can determine which of the given expressions is the difference of two squares.

[tex]9a^2 - 4b^6[/tex] is the difference of two squares because [tex]9a^2[/tex] is a perfect square [tex](3a)^2[/tex]and [tex]4b^6[/tex] is a perfect square[tex](2b^3)^2[/tex]. Therefore, we can write:

[tex]9a^2 - 4b^6 = (3a + 2b^3)(3a - 2b^3)[/tex]

So, the expressions that are the difference of two squares is [tex]9a^2 - 4b^6[/tex]

Learn about Difference of squares here https://brainly.com/question/21598755

#SPJ1


Related Questions

quiz 7the following table shows the individual measurements for five samples taken every 15 minutes starting at 10:00 am to be used in monitoring the quality of a process.10:00 am2.01.82.01.810:15 am2.02.02.02.010:30 am1.81.92.12.210:45 am2.12.11.91.911:00 am1.62.02.21.71. how many measurements are in each sample?2. suppose a mean control chart is being used with an upper limit of 2.2 and a lower limit of 1.8. using the data above, what would be the first point to plot on the control chart?

Answers

The first point to plot on the mean control chart would be at 1.9 at control chart with both limits.

1. There are four measurements in each sample, as shown in the table.

2. To plot the first point on the mean control chart, we need to calculate the mean of the first sample. Adding up the four measurements from the 10:00 am sample (2.0 + 1.8 + 2.0 + 1.8) gives a total of 7.6. Dividing by the number of measurements in the sample (4) gives a mean of 1.9. Since the mean is within the control limits of 1.8 and 2.2, the first point on the chart would be plotted at 1.9.
1. To determine how many measurements are in each sample, we simply count the number of measurements provided for each time.

10:00 am: 4 measurements (2.0, 1.8, 2.0, 1.8)
10:15 am: 4 measurements (2.0, 2.0, 2.0, 2.0)
10:30 am: 4 measurements (1.8, 1.9, 2.1, 2.2)
10:45 am: 4 measurements (2.1, 2.1, 1.9, 1.9)
11:00 am: 4 measurements (1.6, 2.0, 2.2, 1.7)

Each sample contains 4 measurements.

2. To plot the first point on a mean control chart, we need to calculate the mean of the first sample (10:00 am).

Mean = (2.0 + 1.8 + 2.0 + 1.8) / 4
Mean = 7.6 / 4
Mean = 1.9

Learn more about plot here:

https://brainly.com/question/17222820

#SPJ11

1. There are 4 measurements in each sample.

2. The first point to plot on the mean control chart would be 1.9, corresponding to the 10:00 am sample.

To determine the number of measurements in each sample, simply count the number of values for each time point.
10:00 am: 4 measurements (2.0, 1.8, 2.0, 1.8)
10:15 am: 4 measurements (2.0, 2.0, 2.0, 2.0)
10:30 am: 4 measurements (1.8, 1.9, 2.1, 2.2)
10:45 am: 4 measurements (2.1, 2.1, 1.9, 1.9)
11:00 am: 4 measurements (1.6, 2.0, 2.2, 1.7)
There are 4 measurements in each sample.
To plot the first point on the mean control chart, calculate the mean of the first sample (10:00 am).
Mean = (2.0 + 1.8 + 2.0 + 1.8) / 4 = 7.6 / 4 = 1.9.

For similar question on sample.

https://brainly.com/question/9924198

#SPJ11

8.G.B.6
The better definition of squares is

Answers

A number multiplied by itself.

What is square?

In mathematics, a square is a number that is obtained by multiplying a number by itself. It is also a geometric shape with four equal sides and four right angles. The area of a square is calculated by multiplying the length of one of its sides by itself. The formula for calculating the area of a square is A = s^2, where A is the area and s is the length of one side.

Squares have many important applications in mathematics, including in algebra, geometry, trigonometry, and calculus. They are used in the Pythagorean theorem, which relates to the sides of a right triangle, and they are used to represent variables in algebraic equations. Squares are also important in geometry, where they are used to construct geometric shapes and to calculate their areas and perimeters.

The better definition of squares is:

A number multiplied by itself.

In mathematics, a square refers to the product of a number multiplied by itself. For example, the square of 4 is 16, because 4 multiplied by 4 equals 16. Squares have a variety of important applications in mathematics, including in geometry, algebra, and calculus.

While a result that has been proved to be true is sometimes referred to as a "square" in certain contexts, it is not the primary definition of the term. Similarly, a triangle with a right angle is referred to as a "right triangle" or a "right-angled triangle," but not a square.

To learn more about square from the given link

https://brainly.com/question/14198272

#SPJ1

bertha is stacking oranges in the form of a pyramid. the base is a rectangle that is four oranges by six oranges. each orange above the base rests on 4 oranges below it. how many oranges are used

Answers

The total number of oranges used in Bertha's pyramid is 24 + 6 + 2 + 1 = 33 oranges.

To calculate how many oranges are used in Bertha's pyramid, we first need to find out how many oranges are in each

layer of the pyramid. Since the base of the pyramid is a rectangle that is 4 oranges by 6 oranges, there are a total of 4 x 6 = 24 oranges in the base layer.

For the second layer of the pyramid, each orange rests on 4 oranges below it.

Since the base layer has 24 oranges, there will be 24 / 4 = 6 oranges in the second layer.

For the third layer, each orange again rests on 4 oranges below it.

So there will be 6 / 4 = 1.5 oranges in the third layer.

Since we cannot have half an orange, we round up to 2 oranges.

Finally, the top layer of the pyramid will consist of a single orange.

Therefore, the total number of oranges used in Bertha's pyramid is 24 + 6 + 2 + 1 = 33 oranges.

for such more question on total number

https://brainly.com/question/9879870

#SPJ11

Question # 5

Question # 6

Question # 7

Question # 8

Question # 9

Question # 10

Question # 11

Answers

Answer: question#7 is 7/12

question#8 is 1  3/8

question#5 is 1/2

question#6 is 12

question#9 is 1  1/6

question#10 is 31/40

question#11 is 3/4

Step-by-step explanation: give brainliest

Question #5: Option A, [tex]\frac{1}{2}[/tex]

Question #6: Option A, 12

Question #7: Option A, [tex]\frac{7}{12}[/tex]

Question #8: Option D, [tex]1\frac{3}{8}[/tex]

Question #9: Option D, [tex]1\frac{1}{6}[/tex]

Question #10: [tex]\frac{31}{40}[/tex]

Question #11: [tex]\frac{3}{4}[/tex]

Pls mark brainliest

(15 POINTS) HELP ASAP TY!!

How are solving systems of two linear equations or inequalities and solving systems of two quadratic equations or inequalities alike? How are they different?

Answers

Solving systems of two linear equations or inequalities and solving systems of two quadratic equations or inequalities are both ways of finding the intersection points between two curves in the plane.

The main difference between the two methods is that linear equations and inequalities are much simpler and easier to solve than quadratic equations and inequalities. In fact, linear systems can be solved using straightforward algebraic methods, such as substitution, elimination, or graphing, while quadratic systems require more advanced techniques, such as factoring, completing the square, or using the quadratic formula.

Another important difference is that linear systems always have either one solution, no solution, or infinitely many solutions, while quadratic systems can have one, two, or no real solutions depending on the discriminant of the equations.

The shapes of the curves represented by linear and quadratic equations are also different. Linear equations and inequalities always produce straight lines, while quadratic equations and inequalities can produce parabolas or other more complex shapes.

Solve for X. I don’t know how to solve

Answers

The value of x is approximately 10.57 and the value of y is approximately 15.25.

Describe Chords?

In mathematics, a chord is a straight line segment that connects two points on a curve. More specifically, a chord is a line segment that has its endpoints on the curve.

The term "chord" is most commonly used in the context of circle geometry, where a chord is a line segment that connects two points on the circumference of a circle. In this context, the length of a chord can be calculated using the Pythagorean theorem, given the lengths of the radii of the circle and the distance between the endpoints of the chord.

In a circle, if four chords are connected to form a quadrilateral, then opposite angles of the quadrilateral are supplementary. Using this property, we can set up the following equation:

105 + (7y + 1) + (7x + 1) + (4y + 14) = 180

Simplifying and solving for x and y, we get:

7x + 4y + 122 = 180

7x + 4y = 58 ......(1)

Also, we know that the opposite angles of a cyclic quadrilateral are supplementary. Therefore, we can set up the following equations:

105 + (4y + 14) = 180 ......(2)

(7y + 1) + (7x + 1) = 180 ......(3)

Simplifying and solving for y in equation (2), we get:

4y + 119 = 180

4y = 61

y = 15.25

Substituting this value of y in equation (3) and solving for x, we get:

(7x + 1) + (7*15.25 + 1) = 180

7x + 106 = 180

7x = 74

x = 10.57

Therefore, the value of x is approximately 10.57 and the value of y is approximately 15.25.

To know more about equation visit:

https://brainly.com/question/15298662

#SPJ1

The population of your town is about 30,000. This is about 1/10 the population of your friend’s town about what is the population of your friend’s town?

Answers

The population of your friend's town is 300,000 if the population of your town is about 30,000.

To solve this problem, we can use the fact that if one quantity is a fraction of another quantity, we can multiply or divide the given quantity by that fraction to find the other quantity. In this case, we know that the population of your town is 1/10th of your friend's town's population, so we can multiply your town's population by 10 to get your friend's town's population.

If the population of your town is about 30,000, and it's about 1/10 the population of your friend's town, we can calculate your friend's town's population by multiplying your town's population by 10.

So, the population of your friend's town is

30,000 x 10 = 300,000

Therefore, your friend's town has a population of about 300,000.

To know more about population here

https://brainly.com/question/7141650

#SPJ4

I need help with this please

Answers

The range of a function is the set of all possible output values (y-values) of the function. To find the range of f(x) = (5/2)^x - 5, we need to find the minimum and maximum values of y that can be obtained by plugging in all possible x values.

Since (5/2)^x is always greater than 0 for any x, the minimum value of f(x) is -5.

To find the maximum value of f(x), we can take the limit as x approaches infinity:

lim (x → ∞) (5/2)^x - 5 = ∞ - 5 = ∞Therefore, the range of f(x) is (-5, ∞).

The function y = f(x) is graphed below.
What is the average rate of change of the
function f(x) on the interval
-1 ≤ x ≤ 0?

Answers

Answer:

-2

Step-by-step explanation:

The explanation is in the picture

a teacher wants to see if a new unit on factoring is helping students learn. she has five randomly selected students take a pre-test and a post test on the material. the scores are out of 20. has there been improvement? (pre-post) what value of t would you use for the 90% confidence interval? student 1 2 3 4 5 pre-test 12 14 11 12 13 post- test 15 17 15 20 13 group of answer choices 2.776 2.132 4.604 3.747 1.645

Answers

The paired t-test results suggest that there is no significant improvement in students' learning after the new unit on factoring, based on a 90% confidence level.

How to find the value of t?

To determine if there has been an improvement in students' learning after a new unit on factoring, we can perform a paired t-test on the pre-test and post-test scores of the five randomly selected students.

The differences between the pre-test and post-test scores for each student are: 3, 3, 4, 8, 0.

The mean of the differences is 3.6, and the sample standard deviation is 2.39.

The t-value for a 90% confidence interval with 4 degrees of freedom is 2.776. Since the calculated t-value of 2.68 (calculated as the mean of the differences divided by the standard error of the mean of the differences) is less than the critical t-value of 2.776, we fail to reject the null hypothesis that there is no improvement in students' learning.

Therefore, there is not enough evidence to conclude that the new unit on factoring has helped students learn based on the sample data.

Learn more about t-test

brainly.com/question/15870238

#SPJ11

What is the sine ratio for angle A?

A. 5/4
B. 4/5
C. 3/4
D. 3/5

Answers

The sine ratio of for angle A is 4/5 and the right option is B. 4/5.

What is sine ratio?

Sine ratio is the ratio of the length of the opposite side divided by the length of the hypotenuse.

The formula for the sine ratio of angle A is given in the formula below

Formula:

SinA = Opposite/Hypotenus................. Equation 1

From the diagram.

Given:

Opposite = 4Hypotenus = 5

Substitute these values into equation 1

SinA = 4/5

Hence, the right option is B. 4/5.

Learn more about Sine ratio here: https://brainly.com/question/30264534

#SPJ1

Zain's current credit card balance is $9,160.00 with a minimum payment of $325.00. Over the next month he spends $1,098.00. If the APR is 18.99% (billed monthly), what will the new balance be, including interest?

Answers

Answer: To find the new balance including interest, we need to take into account the interest charged on the current balance and the new purchase.

First, let's calculate the interest charged on the current balance. The monthly interest rate is 18.99% / 12 = 1.5825%.

The interest charged on the current balance is therefore:

interest on current balance = 0.015825 * 9160.00 = 144.98

So the total balance including interest for the current month is:

current balance including interest = 9160.00 + 144.98 = 9304.98

Next, let's calculate the interest charged on the new purchase of $1,098.00. The interest charged on the new purchase is:

interest on new purchase = 0.015825 * 1098.00 = 17.39

So the total balance including interest for the new purchase is:

new balance including interest = 1098.00 + 17.39 = 1115.39

Finally, we add the current balance including interest and the new balance including interest to get the total balance including interest:

total balance including interest = current balance including interest + new balance including interest

total balance including interest = 9304.98 + 1115.39

total balance including interest = 10420.37

Therefore, the new balance including interest is $10,420.37.

Step-by-step explanation:

The angle of elevation from point A to the top of a hill is 49°. If point A is 400 feet from the base of the hill, how high is the hill? Round to the nearest tenth.

1. 460.1 ft
2. 301.9 ft
3. 262.4 ft
4. 459.3 ft

Answers

To solve this problem, we can use trigonometry. The tangent of the angle of elevation is equal to the height of the hill divided by the distance from point A to the base of the hill. So:

tan(49°) = height/400

height = 400 * tan(49°) = 459.3 ft (rounded to the nearest tenth)

Therefore, the answer is option 4) 459.3 ft

Rewrite in simplest terms: − 0. 4 ( − 6 g − 9 h ) − 2 h − 0. 2 ( − 5 h + 3 g ) −0. 4(−6g−9h)−2h−0. 2(−5h+3g)

Answers

The value of the given expression -0.4( -6g - 9h ) - 2h - 0.2( -5h + 3g ) in the simplest form  is equal to  1.8g + 2.6h.

The expression is equal to,

-0.4( -6g - 9h ) - 2h - 0.2( -5h + 3g )

Apply distributive law multiplication over addition.

A ( B + C ) = A × B + A × C

Simplify the expression by first distributing the -0.4 and -0.2 coefficients to the terms inside the parentheses,

= (-0.4 × -6g  + 0.4 × 9h ) -2h - ( 0.2 × -5h  + 0.2 × 3g )

= 2.4g + 3.6h - 2h + h - 0.6g

Combine like terms,

= (2.4g - 0.6g) + (3.6h - 2h + h)

= 1.8g + 2.6h

Therefore, the simplest form of the expression is 1.8g + 2.6h.

learn more about simplest form here

brainly.com/question/31041641

#SPJ4

The above question is incomplete, the complete question is:

Rewrite in simplest terms:

− 0. 4 ( − 6 g − 9 h ) − 2 h − 0. 2 ( − 5 h + 3 g )

Martin deposits $7,000 in an account at Victory Bank. Find the amount of interest
earned and the total value of his account after 36 months

Answers

Answer:

$682.50

Step-by-step explanation:

Simple interest only builds on the initial deposit.

Interest Formula

Unlike compound interest, the change per time period is constant for simple interest. This means that simple interest can be calculated through the formula:

I = Prt

In this formula, I represents the amount of interest earned. P is the principle, which is the initial deposit. r is the rate of interest expressed as a decimal. t is the time in years.

Solving For Interest

Now, we can use the information we were given to solve for the amount of interest earned. The question states that the principle is $7,000. From the table, we can tell that the rate is 0.0325. Finally, t is 3 years because 36 months = 3 years. Then, plug these values into the formula.

I = 7000 * 0.0325 * 3I = 682.5

This means that the account at Victory Bank would earn $682.50 over the course of 3 years.

x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2

Answers

Answer: If you want me to evaluate its 18x - 2

Hope it helped :D

Find the length of each segment.
12. AB and AC

Answers

Applying the Angle Bisector Theorem, the length of the segments are:

AB = 15;    AC = 20.

What is the Angle Bisector Theorem?

The Angle Bisector Theorem states that in a triangle, if a line segment bisects an angle of the triangle and intersects the opposite side, then it divides that side into two segments that are proportional to the lengths of the other two sides of the triangle.

Therefore, we would have the following equation based on the angle bisector theorem:

5y/8 = 4y - 1 / 6

Cross multiply:

8(4y - 1) = 6(5y)

32y - 8 = 30y

32y - 30y = 8

2y = 8

y = 4

AB = 4y - 1 = 4(4) - 1 = 15

AC = 5y = 5(4) = 20

Learn more about Angle Bisector Theorem on:

https://brainly.com/question/30935191

#SPJ1

Can anyone help me please

Answers

sure,we can help you

Answer:

25

Step-by-step explanation:

If a stock has a beta measure of 2.5, discuss what this means(be specific).

Answers

The means of a stock that has a beta measure of 2.5 is 2.5%.

A beta measure of 2.5 indicates that the stock is 2.5 times as volatile as the market.

This means that if the market goes up by 1%, the stock is expected to go up by 2.5%.

The beta measure is a measure of the volatility of a stock relative to the market.

If the market goes down by 1%, the stock is expected to go down by 2.5%.

Therefore,

The stock is considered to be more risky than the average stock in the market.

A beta measure of 2.5 indicates that the stock is 2.5 times as volatile as the market.

This means that if the market goes up by 1%, the stock is expected to go up by 2.5%.

Conversely, if the market goes down by 1%, the stock is expected to go down by 2.5%.

For similar question on beta measures:

https://brainly.com/question/30023263

#SPJ11

what number is the greatest common factor of 90 and 315 divided by the least common multiple of 5 and 15?

Answers

The greatest common factor of 90 and 315 when divided by the least common multiple of 5 and 15 is 45.

When we multiply all the common prime factors, we get the greatest common factor of the numbers.

These prime factors should come from the prime factorization of the numbers given. These should be in all the unique combinations possible.

To learn more about the greatest common factor,

https://brainly.com/question/219464

Graph y ≥ -x2 - 1.



Click on the graph until the correct graph appears.

Answers

Answer:

To graph this inequality, you can start by graphing the related function y = -x^2 - 1. This is a downward-facing parabola that opens downwards and has a vertex at (0, -1).

To graph the inequality y ≥ -x^2 - 1, you need to shade the region above the graph of the parabola. This is because any point above the parabola will have a y-coordinate that is greater than or equal to the corresponding y-coordinate on the parabola.

So, to graph the inequality, you can shade the region above the parabola. You can use a dotted line to represent the boundary of the inequality, since the inequality includes the possibility of equality (y = -x^2 - 1).

I hope this helps!

discuss possible sources of measurement error in this experiment. are these sources of error enough to account for the percent differences you calculated from your data? write out your answer in a clear and well supported paragraph.

Answers

The "possible-sources" of in the measurement error of an experiment are Instrument error, Human error, sampling error and environmental factors, these sources "may" or "may-not" be enough to account for the percent differences calculated from the data.

There are several possible sources of "measurement-error" in an experiment which affect the accuracy and precision of the results.

These sources include instrument error, human error, environmental factors, and sampling error.

(i) "Instrument-Error" : is defined as inaccuracies in the measuring instruments used in the experiment. This include issues such as calibration errors, sensitivity of the instruments.

(ii) "Human-Error" can arise from mistakes made by experimenters during data collection or analysis, such as misreading measurements or recording data incorrectly.

(iii) "Environmental-Factors", such as temperature, humidity, or electromagnetic interference, can also cause error into experiment if they affect performance of measuring instruments.

(iv) "Sampling-Error" occur when a subset of the population is used for the experiment, and the results are generalized to the entire population.

Depending on the magnitude of these sources of error, they may or may not be enough to account for the percent differences calculated from the data.

If the measurement errors are small and within an acceptable range for the experiment, they may not significantly impact the results.

If the errors are large or systematic, they can introduce significant bias into the data and affect the percent differences calculated.

Learn more about Experiment here

https://brainly.com/question/30906114

#SPJ4

The given question is incomplete, the complete question is

Discuss the possible sources of measurement error in an experiment. Are these sources of error enough to account for the percent differences you calculated from your data? write out your answer in a clear and well supported paragraph.

laptop: $199.99, 13% markup what is the markup

Answers

Answer:

≈ $26

Step-by-step explanation:

13% = 0.13

199.99 x 0.13 = $25.9987

So, 13% markup is ≈ $26

Markup = $25.9987
First you find the percent of the money given.
13/100 = 0.13
Do 0.13 (199.99) and you will get your markup answer,

If you are in the need of selling price too, please reply to the comment for that and I will try my best to give you the right answer. Hope this helps you :)

The function f(x) = -4(3)-4+3 represents the value of a savings account in dollars, x months after the individual opened
the account.
In how many months will be account have a balance of $0?
O 0.26 months
O 2.46 months
O 3.74 months
O 4.26 months
NEED HELP ASP

Answers

Answer: A

Explanation:

T/F There exists a function f such that f(x) > 0, f'(x) < 0, and f"(x) > 0 for all x.

Answers

True, there exists a function f such that f(x) > 0, f'(x) < 0, and f"(x) > 0 for all x.

An example of such a function is[tex]f(x) = e^(-x)[/tex], where e is the base of the natural logarithm (approximately 2.718).

Let's verify the given conditions:

f(x) > 0:

Since e^(ax) is always positive for any real value of x and any constant a, [tex]e^(-x)[/tex]is also always positive for any real value of x.

f'(x) < 0:

To find the first derivative, apply the chain rule: [tex]f'(x) = -e^(-x). As e^(-x)[/tex] is always positive, the derivative

[tex]f'(x) = -e^(-x)[/tex] is  always negative for all x.

f"(x) > 0:

To find the second derivative, apply the chain rule again:

[tex]f"(x) = e^(-x). As e^(-x)[/tex]is always positive, the second derivative[tex]f"(x) = e^(-x)[/tex] is always positive for all x.

Thus, it is true that there exists a function f with the given conditions.

for such more question on function

https://brainly.com/question/11624077

#SPJ11

The function [tex]f(x) = e^(-x)[/tex] meets all the given conditions.

True. There exists a function f such that [tex]f(x) > 0, f'(x) < 0, and f"(x) > 0[/tex] for all x. One example of such a function is [tex]f(x) = e^(-x)[/tex].
True. There exists a function f(x) that satisfies the given conditions: f(x) > 0, f'(x) < 0, and f''(x) > 0 for all x.

Consider the function [tex]f(x) = e^(-x)[/tex]. This function has the following properties:

1. f(x) > 0 for all x because the exponential function is always positive.
2. [tex]f'(x) = -e^(-x)[/tex]which is always negative because e^(-x) is always positive, and the negative sign in front makes the derivative negative.
3. [tex]f''(x) = e^(-x)[/tex]which is always positive.

Thus, the function [tex]f(x) = e^(-x)[/tex]meets all the given conditions.

Learn more about function here:

https://brainly.com/question/31423868

#SPJ11

Ten seventh graders and 15 eighth graders were selected for the elite choir ensemble.
a. Write the ratio of seventh graders to eighth graders who were selected for the
elite choir.
b. Write the ratio of seventh graders to total students who were selected for the
elite choir.
c. Write the ratio of eighth graders to total students who were selected for the elite
choir.

Answers

Answer:

Your answer should be A

the inequality 4/5-1/2p>9/5 is givin. solve the inequality for p

Answers

Answer:

p < -2

Step-by-step explanation:

Answer:

The answer is -2

Step-by-step explanation:

4/5-1/2p>9/5

C.L.T

-1/2p>9/5-4/5

-1/2p>5/5

-1/2p=1

-p/2>1

-p=2

p= -2

act scores have a mean of 21.4 and 15 percent of the scores are above 26 . the scores have a distribution that is approximately normal. find the standard deviation. round your answer to the nearest tenth, if necessary.

Answers

The standard deviation of the ACT scores is approximately 4.2.

What is Standard deviation?

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It indicates how much the data values deviate, on average, from the mean (or average) of the data set. A higher standard deviation indicates greater variability or spread in the data, while a lower standard deviation indicates less variability or spread.

According to the given information:

To find the standard deviation of ACT scores, we can use the given information about the mean and the percentage of scores above a certain threshold.

Given:

Mean (μ) = 21.4

Percentage of scores above 26 = 15%

Since the distribution is approximately normal, we can use the Z-score formula to find the Z-score corresponding to the given percentage. The Z-score is the number of standard deviations a particular value is from the mean in a normal distribution.

Z-score formula:

Z = (X - μ) / σ

Where:

Z = Z-score

X = Value (in this case, 26)

μ = Mean (21.4)

σ = Standard deviation (to be found)

We can rearrange the formula to solve for σ:

σ = (X - μ) / Z

Substituting the given values:

X = 26

μ = 21.4

Z = Z-score corresponding to 15% (which can be found using a standard normal distribution table or a Z-score calculator)

Assuming a standard normal distribution table or calculator gives us a Z-score of approximately 1.04 for a percentage of 15%, we can plug in the values:

σ = (26 - 21.4) / 1.04

σ = 4.4 / 1.04

σ ≈ 4.2 (rounded to the nearest tenth)

So, the standard deviation of the ACT scores is approximately 4.2.

To know more about standard deviation visit:https://brainly.com/question/23907081

#SPJ1

Add. Express your answer in simplest form. 2/5 + 5/6

A. 1/3
B. 7/11
C. 7/30
D. 1 7/30

Answers

Answer:

d. 1 7/30...............

Answer:

D

Step-by-step explanation:

2/5 + 5/6

Make the denominator same

(2×6)/30 + (5×5)/30

12+25/30

37/30

1 7/30

TIME SENSITIVE! please help !

Consider the word PENCIL. If all the letters are used, and the first letter can’t be N or L, how many ways can the letters be arranged?

A) 720

B) 480

C) 360

D) 96

Answers

The number of ways to arrange the letters of PENCIL when the first letter can't be N or L is option (B) 480.

The word PENCIL has 6 letters, here we have to use permutation method.  If all the letters are used, there are 6! = 720 ways to arrange them. However, the first letter can’t be N or L. This means that there are only 4 choices for the first letter (P, E, C, or I). After choosing the first letter, there are 5 letters left to arrange,

So there are 5! = 120 ways to arrange them.

Therefore, the total number of ways to arrange the letters of PENCIL when the first letter can’t be N or L is

4 x 5! = 4 x 120 = 480

Therefore, the correct option is (B) 480.

Learn more about permutation here

brainly.com/question/28720645

#SPJ4

Other Questions
Assume a class named Dollars exists. Write the headers for member functions that overload the prefix and postfix ++ operators for that class. Note: You do not need to code the function body. You only code the function definition. in c++ A company using the perpetual inventory system paid $250 cash to have goods delivered from one of its suppliers. How would the payment of $250 for transportation-in be classified? Multiple Choice A. An asset use transaction B. An asset exchange transaction C. An asset source transaction D. A claims exchange transaction businesses that provide steady employment may qualify for a reduction in unemployment taxes based on: multiple choice question. experience rating system __________ are usually passive devices and can be deployed into existing networks with little or no disruption to normal network operations.A) NIDPSsB) HIDPSsC) AppIDPSsD) SIDPSs A client who is scheduled to have surgery to remove an aldosterone-secreting adenoma asks the nurse what will happen if surgery is not performed. On what information should the nurse base a response?1 The tumor must be removed to prevent heart and kidney damage.2 Surgery will prevent the tumor from metastasizing to other organs.3 Radiation therapy can be just as effective as surgery if the tumor is small.4 Chemotherapy is as reliable as surgery for the treatment of adenomas of this type in some people. largest group and made the least money in order to live a meaningful life, according to wolf, what must you have? Mr. Scully has hypothyroidism and has high levels of TSH. His T3 and T4 levels will be __________.A. decreased, causing the anterior pituitary to secrete excess TSH.B. normal, causing the anterior pituitary to secrete excess TSH.C. elevated, causing the anterior pituitary to secrete excess TSH.D. abnormally high, causing the anterior pituitary to secrete excess TSH q23.39 - level 3 homeworkunanswereddue apr 12th, 11:30 am 3-methylbutanoic acid, produced by bacteria from leucine, is a component of wine flavor and is responsible for foot odor. which alkylating agent(s) should be used for the malonic ester synthesis of 3-methylbutanoic acid? I need help with this, When using a video, what do we set the scale node to so that we see the entire height and width of the video? Which answer below best describes this statement?Snappy Pops cereal will make you start your day with a cheery smile.O appeals to logic rather than emotionOsupports opinion with factO appeals to emotion rather than logic What kind of angle is mah? What is the value of x?What is the measure of mat ?What is the measure of tah ? a source of precisely timed radio bursts, believed to be spinning neutron stars. sale of equipment equipment was acquired at the beginning of the year at a cost of $33,250. the equipment was depreciated using the double-declining-balance method based on an estimated useful life of ten years and an estimated residual value of $650. question content area a. what was the depreciation for the first year? max weber seems to have written all his works to prove marx wrong. based on what we read in class from both authors, do you think he succeeded? please explain in what way did the united kingdom france and the soviet union deal with germany similarly in the years before world war 11?help me pls? what is the climax of el lugar mas bonito del mundo which statement about sexual differentiation and behavior of the fruit fly drosophila melanogaster is false? to make sure it has enough employees on hand during the busy holiday season, target plans to hire thousands of temporary, seasonal help for the final three months of the calendar year. which kind of plan does this illustrate? what is the term for a national of one country appointed to a management position in another country?