A quantity increases from 225 to 250. what is the percentage increase? round your answer to the nearest tenth of a percent.

To multiply fractions with the same denominator: simply multiply the numerators and keep the denominator the same.

When you're multiplying fractions with the same denominator, you're essentially just multiplying the parts of the fractions that are on top (the numerators). The bottom part of the fraction (the denominator) stays the same because its a measure of the whole & you're not changing the whole, just the pieces.

You might think of it like multiplying pizza slices: if you have two halves of a pizza, you're not changing the total number of slices, you're just making 2 slices into one larger slice. The same goes for fractions: if you have two halves & you want to find what happens when you have both, you just multiply the two numerators together & leave the denominator the same.

Let's say you have 3/4 of a pizza and 4/4 of another pizza and you want to know how much pizza you have in total. To find this out, you would multiply the numerators (3 and 4) and keep the denominator the same (4). So your answer would be:

In this example you have 3 whole pizzas worth of pizza.

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Answer:

Let the number be x

5 is subtracted from a certain number means it will be x - 5

The result is multiplied by 7, the final result is 63,

7 (x - 5) = 63

7x - 35 = 63

7x = 63 + 35

7x = 98

x = 98/7

x = 14

The number is 14

Answer the number is 14 and the equation is 7 (x - 5) = 63

Step-by-step explanation:

Using the appropriate arithmetic operation, the value of the original number is 4

Let the number be : p

5 added to p :

Multiply the addition by 7 :

We can solve for p thus :

15 + 3p = 27

3p = 27 - 15

3p = 12

p = 12/3

p = 4

Therefore, the original number is 4.

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To calculate the p-value for the given conditions, we need to find the area under the standard normal distribution curve.

a) For a one-tail test with z_Xbar = 1.20 and α = 0.01, we find the cumulative probability corresponding to 1.20 using the standard normal distribution table or calculator. The p-value is the area to the right of 1.20. Let's assume it is approximately 0.1151. Since the p-value (0.1151) is greater than the significance level (α = 0.01), we fail to reject the null hypothesis. b) For a one-tail test with z_Xbar= -2.05 and α = 0.10, we find the cumulative probability corresponding to -2.05. The p-value is the area to the left of -2.05. Let's assume it is approximately 0.0192. Since the p-value (0.0192) is less than the significance level (α = 0.10), we reject the null hypothesis. c) For a two-tail test with z_Xbar = 2.40 and α = 0.01, we find the cumulative probabilities corresponding to -2.40 and 2.40. The p-value is the sum of the areas to the left of -2.40 and to the right of 2.40.

Let's assume the p-value is approximately 0.0168. Since the p-value (0.0168) is less than the significance level (α = 0.01), we reject the null hypothesis. d) For a two-tail test with z_Xbar= -1.87 and α = 0.02, we find the cumulative probabilities corresponding to -1.87 and 1.87. The p-value is twice the area to the left of -1.87. Let's assume the p-value is approximately 0.0618. Since the p-value (0.0618) is greater than the significance level (α = 0.02), we fail to reject the null hypothesis. Please note that the assumed p-values are for illustration purposes only. Actual values should be obtained from the standard normal distribution table or calculator to obtain accurate results.

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Answer:

first one is yellow

Step-by-step explanation:

To find the rate of change of y with respect to time t, we need to take the derivative of the function y = 500(1-0.2)^t with respect to t:

dy/dt = 500*(-0.2)*(1-0.2)^(t-1)

Simplifying this expression, we get:

dy/dt = -100(0.8)^t

Therefore, the rate of change of y with respect to t is given by -100(0.8)^t. This means that the rate of change of y decreases exponentially over time, and approaches zero as t becomes large.

Answer:

10.3

Step-by-step explanation:

Pythagorean Theorem:

\(a^{2} + b^{2} = c^{2} \\\)

a and b being the sides and c being the hypotenuse.

\(3.9^{2} + b^{2} = 11^{2}\)

15.21 + \(b^{2}\) = 121

\(b^{2}\) = 121 - 15.21

\(b^{2}\) = 105.79

b = \(\sqrt{105.79}\)

b = 10.3

Hope that helped!!! k

1.rs 2.yoy can just put the q with the t and when you subtract it can problabbly go to thr letter a

Answer:

1. R and S

2. Both equidistant from 0

3. Move six spots to the left of T because each spot is 1/4, and 1 1/2 = 6/4, and it is a subtraction problem.

Step-by-step explanation:

Answer:

When I did this in middle school, the teacher made it unnecessarily difficult     (-_-), so here`s my own method for you.

Finding 1%:

If 9 is 3%, then 3 is 1%. This method only works when the sides are divisible.

You can use the 1% to find the total, which is 100%.

3 stores (or 1%) x 100 = 300.

There are 300 stores in the shopping district.

Hope that helps

Maka should plan to spend $13.10 + $7.10 = $20.20.

Based on the given menu, the price of a combo meal is the same as purchasing each item separately.

Maka wants 2 burritos and 1 enchilada, so let's calculate the cost.

From combo meal 1, the price of one burrito is $6.55.
From combo meal 2, the price of one enchilada is $7.10.

Since Maka wants 2 burritos, she will spend $6.55 x 2 = $13.10 on burritos.
She also wants 1 enchilada, so she will spend $7.10 on the enchilada.

Adding the two amounts together, Maka should plan to spend $13.10 + $7.10 = $20.20.

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Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

The z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

The z-scores will not change if you convert the height measurements from inches to centimetres or vice versa. The z-score is a standard score representing the number of standard deviations, a value above or below the mean of a normal distribution.

The z-score is calculated using the formula z = (x - mean)/standard deviation, where x is the value being compared to the mean and standard deviation of the distribution.

Converting the height from inches to centimetres or vice versa will only change the units of measurement, but the relative position of a value within the distribution will remain unchanged.

Therefore, the z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

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Answer:

46

Step-by-step explanation:

180 minus 105 minus 29

Answer:

46 degrees

Step-by-step explanation:

im assuming this is a triangle so 105+29=134

180-134=46

Answer:

option 6b):) is correct

The points (x, y) that satisfy each rule of y = x - 3 are added as an attachment

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

y=x-3

Express the equation properly

So, we have

y = x - 3

The above expression is a an equation of a linear function with the following properties:

Next, we plot the graph using a graphing tool and mark the points

To plot the graph, we enter the equation in a graphing tool and attach the display

See attachment for the graph of the function

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Check the picture below.

Answer:

x = 50

Step-by-step explanation:

sin 40º = 32 / x

0.64 = 32 / x

x = 32 / 0.64

x =~ 50

Answer:

4/3 lemons

Step-by-step explanation:

For 16 lemons per 12 cups, simplify the ratio to 4 lemons per 3 cups.

The required rate of lemon per cup of lemonade is 1.34 lemons per cup.

Given that,
For Allison's lemonade recipe, 16 lemons are required to make 12 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade to be determined.

The rate of change is defined as the change in value with the rest of the time is called the rate of change.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Since
Let the rate of lemon per cup of lemonade is x,
Total lemon = 16
To a cup of lemonade = 12
Rate of lemon per cup of lemonade
x = 16/12
x = 1.34

Thus, the required rate of lemon per cup of lemonade is 1.34 lemons per cup.

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Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

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Answer: -60a^6

Step-by-step explanation:

multiply 10 and 6. combine the exponents

Answer:

\( - 60a ^{6} \)

Step-by-step explanation:

1) Take out the constants.

\((10 \times - 6) {a}^{2} {a}^{4} \)

2) Simplify 10 × -6 to -60.

\( { - 60a}^{2} {a}^{4} \)

3) Use product rule.

\( - 60 {a}^{2 + 4} \)

4) Simplify 2 + 4 to 6.

\( - 60 {a}^{6} \)

Therefor, the answer is -60a⁶.

the maximum height of a quadratic equation can be find Use the formula: x = -b / (2a) then Substitute the value of x back into the quadratic equation to find the corresponding maximum height.

To find the maximum height of a quadratic equation, you need to determine the vertex of the parabolic curve. The vertex represents the highest or lowest point of the quadratic function, depending on whether it opens upward or downward.

A quadratic equation is generally written in the form of y = ax² + bx + c, where "a," "b," and "c" are coefficients.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a). This formula gives you the line of symmetry of the parabola.

Once you have the x-coordinate of the vertex, substitute it back into the original equation to find the corresponding y-coordinate.

The resulting y-coordinate represents the maximum height (if the parabola opens downward) or the minimum height (if the parabola opens upward) of the quadratic equation.

Here's an example:

Consider the quadratic equation y = 2x² - 4x + 3.

1. Identify the coefficients:

a = 2

b = -4

c = 3

2. Find the x-coordinate of the vertex:

x = -(-4) / (2 * 2) = 4 / 4 = 1

3. Substitute x = 1 back into the equation to find the y-coordinate:

y = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1

Therefore, the maximum height of the quadratic equation y = 2x² - 4x + 3 is 1.

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The maximum height of a quadratic equation can be found by determining the vertex of the parabolic shape represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), and the corresponding y-coordinate represents the maximum height.

To find the maximum height of a quadratic equation, we need to determine the vertex of the parabolic shape represented by the equation. The vertex is the point where the parabola reaches its highest or lowest point.

The general form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants. To find the x-coordinate of the vertex, we can use the formula x = -b / (2a).

Once we have the x-coordinate, we can substitute it back into the equation to find the corresponding y-coordinate, which represents the maximum or minimum height of the quadratic equation.

Let's take an example to illustrate this process:

Suppose we have the quadratic equation y = 2x^2 + 3x + 1. To find the maximum height, we first need to find the x-coordinate of the vertex.

Using the formula x = -b / (2a), we can substitute the values from our equation: x = -(3) / (2 * 2) = -3/4.

Now, we substitute this x-coordinate back into the equation to find the y-coordinate: y = 2(-3/4)^2 + 3(-3/4) + 1 = 2(9/16) - 9/4 + 1 = 9/8 - 9/4 + 1 = 9/8 - 18/8 + 8/8 = -1/8.

Therefore, the maximum height of the quadratic equation y = 2x^2 + 3x + 1 is -1/8.

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Answer:

it is a function because it passes a vertical line test.

Step-by-step explanation:

The goal of a hypothesis test is to determine if the data can refuse an assumption a parameter or a population.

Statistical hypothesis test: A statistical hypothesis test is a technique for determining whether the available data are sufficient to support a specific hypothesis. We can make probabilistic claims about population parameters through hypothesis testing.

The purpose of a hypothesis test is to ascertain whether the data can refute a parameter or population assumption.

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Answer:

15 2/3

Step-by-step explanation:

1 x 2/3 + 15=2/3+15=15 2/3

Answer: 15 2/3

Step-by-step explanation:

1. Times the 1 and the two-thirds.

1 * 2/3 = 2/3

2. Add two-thirds and fifteen.

2/3 + 15 = 15 2/3

Answer:

vertex = (1, - 5 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = (x - 1)² - 5 ← is in vertex form

with (h, k ) = (1, - 5 ) ← vertex

Probability of winning the jackpot = 1 / (C(M, K) * N)

To calculate the probability of winning the jackpot in a particular lottery, where you need to select the correct numbers between 1 and M, and a separate drawing for a single number between 1 and N, we can use the concept of probability.

The probability of winning the jackpot is determined by the ratio of favorable outcomes (winning combinations) to the total possible outcomes.

For the first part, where you need to select the correct numbers between 1 and M, let's assume you need to select K numbers correctly out of M possible numbers. The number of ways to choose K numbers correctly is given by the combination formula:

C(M, K) = M! / (K!(M - K)!)

For the second part, where you need to select the correct single number between 1 and N, there is only one correct number to choose.

The total number of possible outcomes for the entire jackpot is given by the product of the total possible outcomes for each part:

Total outcomes = C(M, K) * N

The probability of winning the jackpot is the ratio of the favorable outcomes to the total possible outcomes:

Probability of winning the jackpot = 1 / (C(M, K) * N)

To find the probability of winning the jackpot in the given lottery, you need to know the specific values for M, N, and K. Using these values, you can calculate the probability using the formula provided. The probability will be the inverse of the product of the combination value and the number of options for the single number.

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Answer:the probability is 6/10 or 3/5

Step-by-step explanation:

Answer: m = 2; b = 6

y = mx + b

because the line  parallel to  y = 2x + 3

=> \(\left \{ {{m=2} \atop {b\neq 3}} \right.\)

the line passes through  the point (0,6) => 6 = b

Step-by-step explanation: