12.A student is finding the
total cost c, including sales tax, of a book
that costs $9.95. The sales tax rate is 9%.
Find the student's mistake and correct it.
C = 1.9 x 9.95
C≈ 18.91
C≈ $18.91

Answer:

I might think 124 is the answer

Answer:

128

Step-by-step explanation:

attached..........

Answer:

y=26

Step-by-step explanation:

2(3y+7+5)=196-16 do the () first and then subtract 16 from 16

6y+24=180 subtract 24 from both sides

6y=156  divide by 6

y=26

Answer:

26

Step-by-step explanation:

6y+14+10=180

6y=180-24

6y=156

y=26

Answer:

the y-intercept in “y = -3x + 8 (slope-intercept form of the given line),” is 8.

Step-by-step explanation:

to find a parallel line to a given line, you must know how to write an equation of a line. You must also know how to put the equation of a line in slope-intercept form. Additionally, you must know how to identify the slope and the Y-intercept in the equation of a line. It is important to remember that parallel lines have equal slopes. Learn how to be able to find a parallel line.

Look at the equation of the line. Let’s say “3x + y = 8” is the equation of the given line. Put the equation of the given line in slope-intercept form: y = mx + b. Using “3x + y = 8” as the equation of the given line, put the equation in slope-intercept form by solving for "y" (subtracting -3x from both sides). You will get “y = -3x + 8.”

Identify the slope. The slope is the "m" in “y = mx + b.” Therefore, the slope in “y = -3x + 8 (slope-intercept form of the given line),” is -3. Identify the y-intercept. The y-intercept is the b in “y = mx + b.” Therefore, the y-intercept in “y = -3x + 8 (slope-intercept form of the given line),” is 8.

   HOPE THIS HELPS HAVE A GREAT DAY!!

Using the variable x to represent the unknown number and knowing that 75% is equivalent to the decimal number 0.75, we can write the following inequation:

Then, solving the inequation for x, we have:

The requried, after 9 days, Plant 2 is 10.09 inches taller than Plant 1.

We can use the equations given to find the heights of Plant 1 and Plant 2 after 9 days and then compare them.

For Plant 1, using the equation h = 2 + 1.06d, we have:

h₁ = 2 + 1.06(9) = 11.54 inches

So after 9 days, Plant 1 is 11.54 inches tall.

For Plant 2, we know that it increased by 2.07 inches every day after reaching a height of 3 inches. So after 9 days, it would have increased by:

2.07 x 9 = 18.63 inches

Starting from a height of 3 inches, the height of Plant 2 after 9 days would be:

h₂ = 3 + 18.63 = 21.63 inches

So after 9 days, Plant 2 is 21.63 inches tall.

Therefore, the difference in height between Plant 1 and Plant 2 after 9 days is:

h₂ - h₁ = 21.63 - 11.54 = 10.09 inches

So after 9 days, Plant 2 is 10.09 inches taller than Plant 1.

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Answer:

0.000000008 written as scientific notation is 8 × 10-9.

Answer:

8x10^-9

0.0000000080 is -9 integers from 0

Answer:

0.03, (3 x 1/100) + (3 x 1/1000), 3 tenths

Answer:4/4, 3/4, 1/4 2/4

Step-by-step explanation:

Answer:

Increased sample size Larger effect size Lower variability One-tailed test

Step-by-step explanation:

The following combination of factors can increase the chances of rejecting the null hypothesis:

Decreased significance level (alpha): By choosing a lower significance level, such as 0.01 instead of 0.05, you make it more difficult for the results to be considered statistically significant, thereby increasing the chances of rejecting the null hypothesis.

Increased sample size: With a larger sample size, the test has more power to detect smaller effects or differences. This increased power can lead to rejecting the null hypothesis more often.

Larger effect size: If the effect or difference between groups being studied is larger, it becomes easier to detect and may lead to rejecting the null hypothesis.

Lower variability: If the data points in the sample are less spread out or have lower variability, it can increase the chances of rejecting the null hypothesis as the effect or difference becomes more evident.

One-tailed test: Conducting a one-tailed test instead of a two-tailed test can increase the chances of rejecting the null hypothesis. One-tailed tests focus on detecting a significant effect in one specific direction, whereas two-tailed tests consider the possibility of a significant effect in either direction.

It is important to note that these factors should be considered within the context of the specific hypothesis being tested and the statistical analysis being used. Additionally, the goal should be to design studies and analyze data in a way that ensures reliable and valid results rather than solely focusing on rejecting the null hypothesis.

Answer:

2.5 cm

Step-by-step explanation:

5 cm is the diameter the radius is half the diameter 5 / 2 = 2.5

chonk

Plot the points into the coordinate system :

2. Reflect QRST at the x-axis :

The original point and the new point is equidistant to the x-axis.

It is like the image is mirrored at the x-axis

The image will be :

3. Rotate QRST 180 degrees at Point O or the origin :

The original point and the new point must be 180 degrees at the origin..

If you will check the degrees of the other points, it will also show a 180 degrees at the origin.

4. Translate QRST -2 units at x-axis and -3 units at y-axis :

5. Reflect QRST at y-axis then translate 3 units to the x-axis :

This is a two part translation.. the first image will be the reflection

and the 2nd image is the translation which is the final position:

Just remember when doing two transformation, you must do it from right to left.

Just like the problem number 5.

Translate first before reflecting.

The coefficient of a in the expression 5a³+9a²+7a+4 is 7.

In the expression 5a³+9a²+7a+4 there are four terms 5a³, 9a², 7a and 4

The coefficient is the number that's before the variable and multiplying the variable

Here, the only term with a as the variable is 7a.

so, the coefficient of a is 7.

Therefore, the coefficient of a is 7.

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For the given expression coefficient of a is 7

The given expression,

5a³ + 9a² + 7a + 4

This equation has degree 3

Therefore, it is a cubic expression.

Since we  know that,

A coefficient in mathematics is a number or any symbol that represents a constant value that is multiplied by the variable of a single term or the terms of a polynomial.

In the given expression,

a is a variable and 5 , 9  and 4 are coefficients

Where,

5 is coefficient of a³

9 is coefficient of a²

7 is coefficient of a

4 is coefficient of a⁰

Hence coefficient of a is 7.

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The statement of pre-image is dilated is the resulting image congruent to the origina is false.

A dilation is a change that creates a picture that is a similar shape as the first, however is an alternate size. • An expansion that makes a bigger picture is called a development. • An expansion that makes a more modest picture is known as a decrease.

As we all know that dilation is used to resize the object. It make the objects larger or smaller.

It produces an image that is the same shape as the original, but is a different size.

This means, the original figure and the transformed figure would not be congruent.

Therefore, the statement 'When an object is dilated, the resulting image is congruent to the pre-image.' is False

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Answer:

c

Step-by-step explanation:

\(cx-4=7\)

add 4 to both sides

\(cx=11\)

divide by c to isolate x

\(x=\frac{11}{c}\)

that is the farthest you can simplify

Answer:

\(x = \frac{11}{c}\)

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

Therefore, the solution for x is \(x = \frac{11}{c}\).

So, on solving the provided question, we can say that percentage  = 1/15 X 100 = 15%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

car gas mileage is normally distributed with a mean of = 25 miles per gallon

67% of cars get at least 23 miles per gallon

percentage of cars get less than 30 miles per gallon

25-23/30

2/30

1/15

percentage  = 1/15 X 100 = 15%

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The quadrilateral that is illustrated based on the information and diagram is a square.

A quadrilateral is a plane figure with four edges and four corners, also known as vertices. The quadrilateral's four vertices or corners all have angles. A quadrilateral has four straight sides and is a two-dimensional shape. Parallelograms, trapezoids, rectangles, kites, squares, and rhombuses are a few examples of quadrilaterals.

A quadrilateral with four equal sides and angles is called a square. Due to its equal sides and angles, it is also a regular quadrilateral. A square has four 90° angles, just like a rectangle does. It can also be thought of as a rectangle with equal lengths on its two adjacent sides. A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a right angle or 90 degrees.

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Understanding a set’s nature or properties is made easier by its closure property

The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.

Why Closure Property is important?

Understanding a set’s nature or properties is made easier by its closure property. Mathematical applications of closure are numerous. Any operation that adheres to this condition is said to be “closed” or to have “fulfilled the operation’s closure property.”

Example – The set of even number is closed under subtraction

                   Even – Even = Even

                   6 – 4 = 2

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Answer:

x = 6

Step-by-step explanation:

(3x + 20)° are vertical angles with (5x + 8)° meaning that they are the same

3x + 20 = 5x + 8

20 - 8 = 5x - 3x

12 = 2x

2x/2 = 12/2

x = 6

The speed of the moving body that is being referred to here is 80 kilometer per hour.

The given problem is a straightforward one based on the idea of the universal law of motion. According to the universal law of motion, any uniformly traveling body's distance traveled is determined by the product of its speed and the time elapsed. Distance is calculated as speed * time. Therefore the body is going at a speed of 80 kilometers per hour, according to the same relation as above, assuming that it is moving at a constant speed.

                                \(Distance = speed * time\)

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The line AC from the diagrammatic expression of the tangent of the circle shows that line AC is 24.0

A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.

From the given information:

Line |CD| =  Diameter

Line |EA| = radius = 18

Line |DB| = 12

Then, we can infer that line EA = DE since they are both (radii of the circle.)

Line |DE| = |EA| = 18

By using the formula for Pythagoras' theorem, we can find line |EA|.

hyp² = opp² + adj²

where;

Line |BE| = hypotenuse = DB + BE = 12 + 18 = 30

Line |AB| = opposite (x) = ???

Line |EA| = adjacent = 18

Thus;

30² = x² + 18²

900 = x² + 324

-x²  = -900 + 324

x  = √576

x = 24.0

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Answer:

See explanation

Step-by-step explanation:

\(n^2+3n-7=2\)

Subtract 2 from both sides:

\(n^2+3n-9=0\)

Using the quadratic formula:

\(n=\dfrac{-3\pm\sqrt{9+36}}{2}=\dfrac{-3\pm \sqrt{45}}{2}=\dfrac{-3\pm 3\sqrt{5}}{2}\)

I agree with you on the answer, have you tried both adding and subtracting the root? That is important, because there are two solutions to this problem. Feel free to discuss more and I can try to help!

Using a confidence level of 95%, the margin of error for the mean GRE score of graduate students is approximately 14.15. The upper bound of the confidence interval is 314.15, and the lower bound is 285.85. This means we are 95% confident that the true population mean GRE score falls between these two values.

To calculate the margin of error, we use the formula:

Margin of Error = Z * (Standard Deviation / √n)

In this case, the standard deviation is 47 and the sample size (n) is 50. The Z-value for a 95% confidence level is approximately 1.96. Plugging in these values, we get:

Margin of Error = 1.96 * (47 / √50) ≈ 14.15

This means that the sample mean of 300 is expected to be within 14.15 points of the true population mean GRE score.

The confidence interval is then constructed by adding and subtracting the margin of error from the sample mean:

Confidence Interval = (Sample Mean - Margin of Error, Sample Mean + Margin of Error)

= (300 - 14.15, 300 + 14.15) = (285.85, 314.15)

Interpreting the confidence interval, we can say that we are 95% confident that the true population mean GRE score for graduate students falls within the range of 285.85 to 314.15. This means that if we were to repeat the sampling process and calculate the sample mean GRE scores multiple times, approximately 95% of the confidence intervals obtained would contain the true population mean.

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When a cylinder is sliced in such a way that the plane passes through the cylinder in a slanted direction without going through either base, the resulting cross section is an elliptical shape.

To visualize this, imagine a cylinder with circular bases. When a plane intersects the cylinder in a slanted direction, it cuts through the curved surface of the cylinder, creating an elliptical cross section.

The exact shape and size of the elliptical cross section will depend on the angle at which the plane intersects the cylinder and the specific orientation of the cylinder. The major axis of the resulting ellipse will be parallel to the slanted direction of the plane, while the minor axis will be perpendicular to it.

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False. Line charts are best suited for representing data that follows a sequential order, such as time series data. Nonsequential data is better represented by other types of charts, like scatter plots or bar graphs.

Line charts are graphical representations of data points connected by lines. They are commonly used to display trends over time or sequential data. For example, they are often used to show the change in stock prices over a period of time or the temperature variations throughout the day. This sequential order is the key feature of line charts.

However, for data that does not follow a sequential order, line charts may not be the best choice. Nonsequential data, such as categorical or unrelated data points, are better represented by other types of charts. Scatter plots, for instance, are useful for showing the relationship between two variables that are not necessarily ordered. Bar graphs can also be used to compare nonsequential data points in different categories.

In summary, line charts are not best suited for representing data that follows a nonsequential order. They are most effective when used to display data that has a clear sequential relationship, allowing for easy interpretation of trends and patterns.

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The probability is 0.6480.

The probability is 0.9629.

1. This can be computed using the standard normal distribution as follows:

z = (70 - 69.0) / 2.8 = 0.357

Using a standard normal table or calculator, we find that P(Z ≤ 0.357) ≈ 0.6480. Therefore, the probability that a male passenger can fit through the doorway without bending is approximately 0.6480.

2. = 2.8/√25 = 0.56 inches.

We want to find P(x < 70), which is the probability that the mean height of the 25 men is less than 70 inches. This can be standardized using the standard normal distribution as follows:

z = (70 - 69.0) / 0.56 = 1.79

Using a standard normal table or calculator, we find that P(Z < 1.79) ≈ 0.9629. Therefore, the probability that the mean height of the 25 men is less than 70 inches is approximately 0.9629.

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Answer:

2

-19

0

9

-1

-6

if you have two negatives then you add them

if you have a positive and a negative then you subtract

Answer:

Option (2).

Step-by-step explanation:

This question is incomplete; here is the complete question and find the figure attached.

In the diagram of a circle O, what is the measure of ∠ABC?

27°

54°

108°

120°

m(minor arc \(\widehat {AC}\)) = 126°

m(major arc \(\widehat {AC}\)) = 234°

By the intersecting tangents theorem,

If the two tangents of a circle intersect each other outside the circle, measure of angle formed between them is half the difference of the measures of the intercepted arcs.

m∠ABC = \(\frac{1}{2}[m(\text {major arc{AC})}-m(\text{minor arc} {AC})]\)

             = \(\frac{1}{2}(234-126)\)

             = 54°

Therefore, Option (2) will be the answer.

Answer:

B.

Step-by-step explanation:

Answer:

188.495

Step-by-step explanation:

Given that,

h=7

r=3

Surface area of a cylinder = 2πr(h + r)

=2π×3(7+3)

=18.8495559215 (10)

=188.495