Which example represents a 25% increase? Group of answer choices The attendance at the local high school drama for Friday evening was 400. On Saturday, the attendance was 550. The price of gas Monday was $2.00 per gallon. On Tuesday, the price gas was $2.25 per gallon. Terri's grade on her math test was 50%. She was able to retake the test and score a 75%. Steve caught 8 fish on Friday. On Saturday, he was able to catch 10 fish.

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

n=5, -5

Answer:

\(n=\frac{3i\sqrt{22}-2}{-8}\)

Step-by-step explanation:

\((2-8n)^2=-198\)

\(\sqrt{(2-8n)^2} =\sqrt{-198}\)

\(2-8n=i\sqrt{198}\)

\(2-8n=3i\sqrt{22}\)

\(-8n=3i\sqrt{22} -2\)

\(n=\frac{3i\sqrt{22}-2}{-8}\)

I hope this helps!

Using proportions, her commission would be of $3,700.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Her commissions are divided as follows:

Hence the total commission is:

0.15 x 5000 + 0.25 x 1000 + 0.3 x 9000 = $3,700.

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Answer:

You would've gotten 2 questions wrong to score a 90%.

Step-by-step explanation:

   </3 PureBeauty

Answer:

18

Step-by-step explanation:

20×90/100

here u go fffffcv

a)The purpose of statistical inference is to make estimates or draw conclusions about a population based upon information obtained from the sample.

Statistical inference is the process of drawing conclusions about populations or scientific truths from data. There are many ways to make inferences, including statistical modeling, data-driven strategies, and the explicit use of designs and randomization in analyses.

Hypothesis testing is a form of statistical inference that uses data from a sample to draw conclusions about a population parameter or population probability distribution.

First, a preliminary assumption is made about the parameter or distribution. This assumption is called the null hypothesis and is denoted H0.

An alternative hypothesis (denoted Ha) is then defined, which is the opposite of what is stated in the null hypothesis. The hypothesis testing procedure involves using sample data to determine whether or not H0 can be rejected. If H0 is rejected, the statistical conclusion is that the alternative hypothesis Ha is true.

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Answer:

I believe that the error is that sqrt(-2) should be equal to sqrt(2) * i

Step-by-step explanation:

The rest of the steps all use proper algebraic rules, but the square root of a*b = sqrt(a)*sqrt(b)

Answer:

Area = 66 m^2

Step-by-step explanation:

Area = b h       B = 11    H = 6

   Area = 11 * 6 = 66 m^2

(b) The probability is 0.71639, (c) Probability is 0.0527, (d) Probability is 0.5278.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Probability of males who are color blind = 8% = 0.08

Probability of males who are not color blind = 92% = 0.92

(b) Probability that she won't find anyone color blind among the first four men she checks = (0.92) (0.92) (0.92) (0.92) = 0.71639 = 71.639 %

(c) If the first color blind man is the sixth person checked, the five person prior to this are not color blind.

Probability = (0.92)⁵ (0.08) = 0.0527 = 5.27%

(d) Probability before checking the 10th man means the probability of finding colorblind person among the 9 person.

Probability of finding no person color blind among 9 person = (0.92)⁹ = 0.47216 = 47.216%.

Probability that she finds someone who is color blind before checking the 10th man is = 1 - 0.47216 = 0.5278 = 52.78%

Hence the probabilities in every cases is found.

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Answer:

2/9 ÷ 4/3

Step-by-step explanation:

Answer:

cant see the picture so srry i cant help

Step-by-step explanation:

Answer:  L isn't the midpoint of segment MN.

Step-by-step explanation:

NL+LM=NM

6x-5+2x+3=4x+9

8x-2=4x+9

8x-2+2=4x+9+2

8x=4x+11

8x-4x=4x+11-4x

4x=11

Divide both parts of the equation by 2:

2x=5.5

NL=6x-5

NL=(2x)(3)-5

NL=(5,5)(3)-5

NL=16.5-5

NL=11.5

LM=2x+3

LM=5.5+3

LM=8.5

NL≠LM

Hence, L isn't the midpoint of segment MN.

In summary, based on the given lengths and mathematical reasoning, we have determined that point L is the midpoint of segment MN because the lengths of NL and LM are equal when x = 2.

We must compare the lengths of the two segments NL and LM and see if they are identical in order to establish whether point L is the midpoint of segment MN.

NL = 6x - 5

LM = 2x + 3

The lengths of NL and LM ought to be equal if L is the middle of segment MN. To put it another way, NL and LM ought to be equal.

Constructing the equation

6x - 5 = 2x + 3

Now, solve for x:

6x - 2x = 3 + 5

4x = 8

x = 2

As soon as we know the value of x, we can put it back into the NL and LM formulas to get their lengths at x = 2:

NL = 6x - 5 = 6 * 2 - 5 = 12 - 5 = 7

LM = 2x + 3 = 2 * 2 + 3 = 4 + 3 = 7

The lengths of NL and LM are both 7 units.

Point L is in fact the middle of segment MN because both segments NL and LM have similar lengths.

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Answer:see the picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

Answer: It has a range of 16

Step-by-step explanation:

I just took it

When a graph or a point on the Cartesian plane is symmetric about the origin or with respect to the origin, it means that the graph or point maintains its shape and position when reflected across the origin.

In other words, if you draw a line passing through the origin and the graph or point, the portion of the graph or point on one side of the line will be an exact mirror image of the portion on the other side.

To determine if a graph is symmetric about the origin, we can check if the coordinates of a point on the graph, (x, y), satisfy the condition that (-x, -y) is also on the graph. For example, if the point (2, 3) is on the graph, we can verify that (-2, -3) is also on the graph.

Similarly, for a single point on the Cartesian plane to be symmetric about the origin, its coordinates (x, y) must satisfy the condition that (-x, -y) is also a point on the plane. For instance, if the point (4, -1) is symmetric about the origin, (-4, 1) should also be a point on the plane.

symmetry about the origin in the Cartesian plane refers to maintaining the same shape and position when reflected across the origin. It involves verifying that for every point (x, y) on the graph or plane, (-x, -y) is also a point on the graph or plane.

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Answer: b (b²+b+4)

Step-by-step explanation:
b²=bb
b³=b²b
=b²b+bb+4b
=b(b²+b+4)

Answer:

m<5= m<3

m<11= m<14

m<16= m<9

We need to  know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.

Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.

Therefore the margin of error is influenced by confidence level and sample size.

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Answer:

Example 2:

Find m∠P  and  m∠Q

if ∠P  and  ∠Q

are supplementary, m∠P=2x+15

, and m∠Q=5x−38

.

The sum of the measures of two supplementary angles is 180°

.

So, m∠P+m∠Q=180°

Substitute 2x+15

for m∠P

and 5x−38

for m∠Q

.

2x+15+5x−38=180°

Combine the like terms. We get:

7x−23=180°

Add 23

to both the sides. We get:

7x=203°

Divide both the sides by 7

.

7x7=203°7

Simplify.

x=29°

To find m∠P

, substitute 29

for x

in 2x+15

.

2(29)+15=58+15

Simplify.

58+15=73

So, m∠P=73°

.

To find m∠Q

, substitute 29

for x

in 5x−38

.

5(29)−38=145−38

Simplify.

145−38=107

So, m∠Q=107°

.Example 2:

Find m∠P  and  m∠Q

if ∠P  and  ∠Q

are supplementary, m∠P=2x+15

, and m∠Q=5x−38

.

The sum of the measures of two supplementary angles is 180°

.

So, m∠P+m∠Q=180°

Substitute 2x+15

for m∠P

and 5x−38

for m∠Q

.

2x+15+5x−38=180°

Combine the like terms. We get:

7x−23=180°

Add 23

to both the sides. We get:

7x=203°

Divide both the sides by 7

.

7x7=203°7

Simplify.

x=29°

To find m∠P

, substitute 29

for x

in 2x+15

.

2(29)+15=58+15

Simplify.

58+15=73

So, m∠P=73°

.

To find m∠Q

, substitute 29

for x

in 5x−38

.

5(29)−38=145−38

Simplify.

145−38=107

So, m∠Q=107°

.

The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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To calculate a confidence interval, you do not need the population standard deviation. A confidence interval is a range of values within which the true population parameter, such as the mean, is likely to fall.

It is calculated using the sample mean, sample size, and the population standard deviation.

However, in practice, the population standard deviation is often unknown. Instead, the sample standard deviation is used as an estimate. The formula for calculating a confidence interval typically involves the sample mean, sample size, and a critical value based on the desired confidence level. So, while the population mean, sample mean, and sample size are necessary, the population standard deviation is not required to compute a confidence interval.

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Answer:

x = -5

Step-by-step explanation:

Step 1: Write equation

-2x + 8 = 18

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

-2(-5) + 8 = 18

10 + 8 = 18

18 = 18

Answer:

x = -5

Step-by-step explanation:

-2x + 8 = 18

Subtract 8 from each side

-2x + 8-8 = 18-8

-2x = 10

Divide each side by -2

-2x/-2 = 10/-2

x = -5

To find the parametric equations for the path of a particle moving along a circle with 0 ≤ t ≤ π, we'll start by considering the equation of a circle with radius r centered at (h, k):
(x-h)² + (y-k)² = r²
Now, to create parametric equations, we'll express x and y in terms of a parameter, t. In this case, t represents the angle (in radians) that the particle has traveled along the circle.
We can use the trigonometric functions sine and cosine to do this. For a circle with radius r centered at (h, k), the parametric equations will be:
\(x(t) = h + r*cos(t)\)
\(y(t) = k + r*sin(t)\)
Since we're given a range for t (0 ≤ t ≤ π), this means that the particle moves along a semicircle, starting at the initial point (h+r, k) when t=0 and ending at the point (h-r, k) when t=π.
To summarize, the parametric equations for a particle moving along a circle with radius r and center (h, k) for 0 ≤ t ≤ π are:
\(x(t) = h + r*cos(t)\)
\(y(t) = k + r*sin(t)\)

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The probability that the left turn lane will hold the vehicles of all the drivers who want to turn left is approximately 0.026.

To find the probability that the left turn lane will hold the vehicles of all the drivers who want to turn left, we can use the concept of independent events.

Given that the probability of any single driver turning left is 0.2, we can calculate the probability of a driver not turning left as 1 - 0.2 = 0.8.

Now, for each of the five vehicles arriving at the intersection while the light is red, the probability that the left turn lane will hold the vehicle is the probability that all three spaces in the left turn lane are empty, which is calculated as (0.8)^3 = 0.512.

Since the events are independent, the probability that all five vehicles can fit in the left turn lane is the product of the probabilities for each vehicle. Therefore, the probability that the left turn lane will hold the vehicles of all the drivers who want to turn left is (0.512)^5 = 0.026 (rounded to three decimal places).

In conclusion, the probability that the left turn lane will hold the vehicles of all the drivers who want to turn left is approximately 0.026.

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The probability that the left turn lane will hold the vehicles of all the drivers who want to turn left is approximately 0.026.

To find the probability that the left turn lane will hold the vehicles of all the drivers who want to turn left, we can use the concept of independent events.

Given that the probability of any single driver turning left is 0.2, we can calculate the probability of a driver not turning left as 1 - 0.2 = 0.8.

Now, for each of the five vehicles arriving at the intersection while the light is red, the probability that the left turn lane will hold the vehicle is the probability that all three spaces in the left turn lane are empty, which is calculated as (0.8)³= 0.512.

Since the events are independent, the probability that all five vehicles can fit in the left turn lane is the product of the probabilities for each vehicle. Therefore, the probability that the left turn lane will hold the vehicles of all the drivers who want to turn left is (0.512)⁵= 0.026 (rounded to three decimal places).

In conclusion, the probability that the left turn lane will hold the vehicles of all the drivers who want to turn left is approximately 0.026.

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A quadrilateral has 4 angles not 8 angles. The false statement is d.

A pentagon has 5 angles not 7 angles. The false statement is b.

A circle is not a polygon because it is a curved shape and does not have straight sides. The false statement is b.

A quadrilateral is a four-sided polygon so it has four angles.

The sum of the interior angles of a quadrilateral is 360 degrees.

A pentagon is a five-sided polygon, so it has five angles.

The sum of the interior angles of a pentagon is 540 degrees.

A polygon is a two-dimensional shape with straight sides and a circle is a two-dimensional shape with a curved boundary.

The definition of a polygon requires straight sides so a circle cannot be a polygon.

A triangle is a three-sided polygon, and it has three angles.

The sum of the interior angles of a triangle is 180 degrees.

A square is a four-sided polygon with four right angles and the sum of the interior angles of a square is 360 degrees.

A rectangle is a four-sided polygon with four right angles, but opposite sides of a rectangle have equal length opposite sides of a square have equal length and all sides of a square have equal length.

The properties of polygons and their angles is important in geometry as it helps us classify and identify different shapes and calculate their properties.

It is important to remember the definitions and properties of different types of polygons to avoid making mistakes and arriving at incorrect solutions in geometry problems.

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Answer:

Line down the middle

Step-by-step explanation:

There is only one line of symmetry in this shape because there is no rotational symmetry. Its a line down the middle.

Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

Answer:

113

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 5ˣ - 12

f(3) is x = 3

Step 2: Evaluate

Step 1: Concept

To find the equation of a line, use the two points form equation of a line formula below.

Step 2:

Write the given data

Step 3:

Substitute the values to find the equation of a line.

Final answer

y = [ 8 ]x + [ -9 ]

3.75 miles he run at the gym.

What is distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given: Joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day.

On days when he doesn't walk, he runs all that distance at the gym.

But  he walks 2 blocks, he cuts of 1/12 a mile off his run.

Today Joshua walked 12 blocks.

As he walked 12 blocks - 6 times 1/12 miles - so that's 0.5 a mile he cut from the exercise.

He will run at the gym for 4.25 - 0.5 = 3.75 miles in total.

4.25 - 6(1/12) = 3.75

Therefore, 3.75 miles he run at the gym.

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