Write down the percentage multiplier to find 26% of an amount
pls do simple steps/working out :)

Answer:

Step-by-step explanation:

No, the number of students at Lake View Middle School is not proportional to the number of teachers.

Proportionality between two quantities means that they maintain a constant ratio, regardless of their actual values. In this case, if the number of students and teachers were proportional, we would expect the ratio of students to teachers to remain constant as the total number of students or teachers changes.

However, in this scenario, the ratio of students to teachers is not constant. The ratio is 48:2, which simplifies to 24:1. This means that there are 24 students for every 1 teacher. If the number of students at the school were to double to 96, we would expect the number of teachers to double as well if they were proportional. However, this would mean that there would be 4 teachers assigned to the students, which is twice the original number of teachers assigned to the original number of students.

Therefore, the number of students at Lake View Middle School is not proportional to the number of teachers, because the ratio of students to teachers is not constant, and it changes as the total number of students or teachers changes.

If the temperature is -5 degrees in one city and it is four degrees less in another city, the temperature in the other city would be -9 degrees.

This is because subtracting four from -5 results in a decrease of four units, giving us -9 degrees.

In the given scenario, the temperature in the other city is four degrees less than the temperature in the first city. When we subtract four from the original temperature of -5 degrees, we obtain -9 degrees.

Thus, the temperature in the other city is -9 degrees, indicating that it is colder by four degrees compared to the first city.

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Answer: V≈42.88in³

Step-by-step explanation: i might be wrong but let me know

Answer:

Mean: \(\bar x = 40.61\)

\(Median =40.2\)

\(Mode = 43.4\)

Step-by-step explanation:

Given

See attachment for data

Solving (a): The mean

Mean is calculated as:

\(\bar x = \frac{\sum x}{n}\)

From the attached:

\(n = 14\)

So, the mean is:

\(\bar x = \frac{43.4+43.4+43.4+43.1+43.2+40.2+40.2+40.1+40.3+39.44+39.17+38.03+38.19+36.45}{14}\)

\(\bar x = \frac{568.58}{14}\)

\(\bar x = 40.61\)

Solving (b): The median

\(n = 14\); this is an even number. So, the median is:

\(Median = \frac{1}{2}(n+1)\)

\(Median = \frac{1}{2}(14+1)\)

\(Median = \frac{1}{2}(15)\)

\(Median = 7.5th\)

This implies that the median is the average of the 7th and 8th item.

Next, is to order the data (in ascending order): 36.45, 38.03, 38.19, 39.17, 39.44, 40.1, 40.2, 40.2, 40.3, 43.1, 43.2, 43.4, 43.4, 43.4.

The 7th and 8th items are: 40.2 and 40.2

The median is:

\(Median = \frac{1}{2}(40.2 + 40.2)\)

\(Median = \frac{1}{2}*80.4\)

\(Median =40.2\)

Solving (c): The mode

43.4 has the highest number of occurrence.

So:

\(Mode = 43.4\)

Answer: 12/18

Step-by-step explanation:

For a quick explanation, all you need to do is multiply 1/6 by 6 to get 1 whole and do the same to 2/3 so it’s proportional again.

The number of cups of water she needs to mix is 4.

Given that,

Based on the above information, the calculation is as follows:

\(= \frac{2}{3} \div \frac{1}{6} \\\\= \frac{2\times 6}{3\times 1 }\)

= 4

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A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

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Answer:

B 45.81 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

16). The relation is a function.

17). The relation is a function.

Answer:

60%

Step-by-step explanation:

Answer:

B. (x-3)^2

Step-by-step explanation:

x^2-6x+9 = (x-3)^2

(a-b)^2=a^2-2ab+b^2

(a+b)^2=a^2+2ab+b ^2

Answer:

x° = 145°

Step-by-step explanation:

x° + (2x - 255)° = 180°

3x = 180 + 255

3x = 435

x° = 145°

The correct option is option (d) . That's a zero order relationship means that there is no test factors have been controlled.

In statistics, there are many types of correlations that can be performed to determine the relationship between two variables. These types of correlations include Pearson's correlation, Spearman's correlation, point biserial correlation, and Kendall's correlation. You may also have come across the terms zero-order, partial, and partial in relation to correlation. These terms refer to correlations involving three or more variables.

A zero-order relationship means that the zero-order correlation simply refers to the correlation between his two variables (i.e. independent and dependent variables) and does not control for the possible influence of the other variable.

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Answer:

X= -6

Step-by-step explanation:

subtract 25 from both sides then you simplify the expression  when you do that you divide both sides from the same factor which is 3 then you get you're solution x=-6

Answer: 4+4+1

Step-by-step explanation: 4+4+1=4+5

Hope this helps!

Answer:

93 large, 3 medium

the first thing you gotta do is find the least amount of the smaller number that you can take away until it becomes a  multiple of the largest number.

1356-12(1)

1344-12(2)

1332-12(3)

1320 12 factored into 1356 3 times before we reached a multiple of 15 so we subtract 3 from the total number of pizza sold and we have 93 large pizzas and 3 medium pizzas

disclaimer: as I am a human I might be wrong have a nice day

Answer:

Step-by-step explanation:

Answer:

x = \(\frac{4}{9}\)

Step-by-step explanation:

3\(\sqrt{x}\) = 2 ( divide both sides by 3 )

\(\sqrt{x}\) = \(\frac{2}{3}\) ( square both sides )

(\(\sqrt{x}\) )² = (\(\frac{2}{3}\) )²

x = \(\frac{2^2}{3^2}\)

x = \(\frac{4}{9}\)

The value of (x + y) is 25.

What is solving an equation?

We must use arithmetic operations to separate the variables in order to solve any equation.

The same number is added on both sides.

Taking away the same number from both sides.

using the same number on both sides of the multiplication.

using the same number on both sides to divide.

Consider, the given equations

2x^2 - 2y^2 = 125              ..(1)

x - y = 2.5                           ..(2)

From equation (1)

x^2 - y^2 = 125/2

By using:  \(a^2 - b^2 = (a - b)(a + b)\)

⇒  (x - y)(x + y) = 125/2

Given:  (x - y) = 2.5

⇒ 2.5*(x + y) = 125/2

           (x + y) = 125/(2*2.5)

            x + y = 125/5

            x + y = 25

Hence, the value of (x + y) is 25.

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The formula to find the radius (r) of a circle when you know the circumference (C) is r = C/(2π).

The formula presented derived from the formula for the circumference of a circle, which is C = 2πr. By rearranging the equation and isolating the radius (r) on one side, we get r = C/(2π).

So, if the circumference (C) of a circle is 18 centimeters, you can use the formula r = C/(2π) to find the radius (r). Plugging in the given value for the circumference (C), we get:

r = 18/(2π)

Simplifying the equation gives:

r = 9/π

Therefore, the radius (r) of the circle is 9/π centimeters.

In conclusion, the formula you can use to find the radius (r) of a circle when you know the circumference (C) is r = C/(2π).

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Given: The image shown

To Determine: The value of the unknown

Solution

Let us apply the pytahgoras theorem

From the right triangle ABD

Hence, the unknown side is 4√2 inches

The original price of the novel is $21.5

The first step is to write out the parameters given in the question

Last year, Gloria buys a novel for $18.70

This price is with a discount of 15% form the original price

The original price of the novel can be calculated as follows

15/100 × 18.70

= 0.15 × 18.70

= 2.805

The next step is to add 2.805 to the price of the novel last year($18.70)

= 18.70 + 2.805

= 21.5

Hence the original price of the novel before the addition of the discount is $21.5

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Given:

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.

To find:

The total surface area of the prism.

Solution:

We have,

Height of prism = 7½ = 7.5

Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because

\(5^2+12^2=13^2\)

\(25+144=169\)

\(169=169\)

So, the base of the prism is a right triangle.

Area of a triangle is

\(Area=\dfrac{1}{2}\times base \times height\)

\(A_1=\dfrac{1}{2}\times 5\times 12\)

\(A_1=30\)

The area of the base is equal to the area of the top, i.e., \(A_2=30\) sq units.

Perimeter of the base is

\(P=5+12+13\)

\(P=30\)

The curved surface area of the prism is

\(CSA=\text{Perimeter of the base}\times \text{Height of the prism}\)

\(CSA=30\times 7.5\)

\(CSA=225\)

Now, the total area of the prism is

\(A=A_1+A_2+CSA\)

\(A=30+30+225\)

\(A=285\)

Therefore, the total surface area of the triangular prism is 285 square units.

Answer:

16 = 3x

Step-by-step explanation

Find the diagram attached.

Perimeter = sum of all its sides

Sum of all its sides= x+x+x

Sum of all its sides = 3x

Given perimeter = 16in

Equating both;

3x = 16

x = 16/3

x = 5.33in

Hence the value of x is 5.33 and the required equation is 16 =3x

Answer:

Since the absolute value of any real number is a positive, the range is all the real numbers less than or equal to 0. We can see this by placing x = 1 and hence getting 0.Mar

Step-by-step explanation:

Answer:

Step-by-step explanation: Remove any grouping symbol such as brackets and parentheses by multiplying factors.

Use the exponent rule to remove grouping if the terms are containing exponents.

Combine the like terms by addition or subtraction.

Combine the constants

Answer: Remove brackets and answer is 27

Step-by-step explanation:

The Economic Order Quantity (EOQ) formula is used to compute the optimal quantity of an inventory to order at any given time. It is calculated by minimizing the cost of ordering and carrying inventory, and it is an important element of supply chain management.

According to the problem given, the following information is given:Demand = 100 bags / weekOrder cost = $55 / orderAnnual holding cost = 25% of costDesired cycle-service level = 92%Lead time = 4 week(s) (20 working days)Standard deviation of weekly demand = 13 bagsCurrent on-hand inventory is 350 bags, with no open orders or backorders.a. To calculate the Economic Order Quantity (EOQ), we need to use the formula:EOQ = √[(2DS)/H],whereD = Demand per periodS = Cost per orderH = Holding cost per unit per period. Substitute the given values,D = 100 bags/weekS = $55/orderH = 25% of cost = 0.25Total cost of inventory = S*D + Q/2*H*DIgnoring Q, the above expression is the annual ordering cost. Since we know the annual cost, we can divide the cost by the number of orders per year to obtain the average cost per order.Substituting the given values in the above formula,

EOQ = √[(2DS)/H] = √[(2*100*55)/0.25] = 420 bags

Sam's optimal order quantity is 420 bags. Hence, the answer to this part is 420.b. To calculate the reorder point (R), we use the formula:R = dL + SS,whereL = Lead timed = Demand per dayS = Standard deviation of demandSubstituting the given values,d = 100 bags/weekL = 4 weeksS = 13 bags/week

R = dL + SS = (100*4) + (1.75*13) = 425 bags

Therefore, the reorder point is 425 bags.c. If the inventory withdrawal of 10 bags has been made, we can calculate the new on-hand inventory using the formula:On-hand inventory = Previous on-hand inventory + Received inventory – Issued inventoryIf there are no open orders,Received inventory = 0Hence,On-hand inventory = 350 + 0 – 10 = 340Since the current on-hand inventory is more than the reorder point, it is not time to reorder. Therefore, the answer to this part is "It is not time to reorder."d. Annual holding cost of the current policy is the product of the holding cost per unit per period and the number of units being held.Annual holding cost =

(350/2) * 0.25 * 55 = $481.25

The annual holding cost is $481.25.Annual ordering cost = Total ordering cost / Number of orders per yearIf we assume 52 weeks in a year,Number of orders per year = 52/4 = 13Total ordering cost = 13 * $55 = $715Annual ordering cost = $715/13 = $55Therefore, the annual ordering cost is $55.

The Economic Order Quantity (EOQ) formula is used to compute the optimal quantity of an inventory to order at any given time. Sam's optimal order quantity is 420 bags. The reorder point is 425 bags. If there is an inventory withdrawal of 10 bags, then it is not time to reorder. The annual holding cost is $481.25. The annual ordering cost is $55. The average time between orders is 4.46 weeks.

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The correlation analysis indicates a moderate positive relationship between Column X and Column Y.

To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Here are the steps to calculate the correlation coefficient:

Calculate the mean (average) of Column X and Column Y.

Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375

Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125

Calculate the deviation of each value from the mean for both Column X and Column Y.

Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)

Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)

Calculate the product of the deviations for each pair of values.

Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)

Calculate the sum of the product of deviations.

Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)

Calculate the standard deviation of Column X and Column Y.

StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]

StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]

Calculate the correlation coefficient (r).

r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]

By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.

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The value of the right Riemann sum approximation for integral ∫₀² f(x) dx is (c) 60.

The right Riemann sum approximation is obtained by dividing the interval [0, 2] into four subintervals of equal length and evaluating the function at the right endpoints of each subinterval. In this case, each subinterval has a length of (2-0)/4 = 0.5. The right endpoints of the subintervals are 0.5, 1.0, 1.5, and 2.0.

To calculate the right Riemann sum, we evaluate the function at these right endpoints and sum up the values multiplied by the subinterval length.

f(0.5) = \(9^{0.5\) = 3

f(1) = 9¹ = 9

f(1.5) = \(9^{1.5\) = 27

f(2) = 9² = 27

The right Riemann sum is then

= (0.5 * f(0.5)) + (0.5 * f(1.0)) + (0.5 * f(1.5)) + (0.5 * f(2.0))

= 0.5 * (3 + 9 + 27 + 81)

= 60.

Therefore, the value of the right Riemann sum approximation for ∫2 to 0 f(x) dx is 60, which corresponds to option (c).

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Given question is incomplete, the complete question is below

let f be the function given by f(x)= 9ˣ, if four subintervals of equal length are used, what is the value of the right riemann sum approximation for∫₀² f(x) dx. 20b. 40c. 60d. 80

The valid sampling method(s) for obtaining a sample of individuals with high cholesterol from the list provided are simple random sampling, stratified sampling, and cluster sampling.

- Simple random sampling: This method involves randomly selecting 40 individuals from the list of 6800 individuals.

- Stratified sampling: This method involves dividing the list of 6800 individuals into different strata  based on relevant characteristics.

- Cluster sampling: This method involves dividing the list of 6800 individuals into smaller clusters (e.g., primary care physician offices or geographical areas).

This method is useful when it is difficult or costly to reach individuals scattered across a wide area.

Each of these methods has its advantages and disadvantages, so the choice depends on the specific needs and constraints of the pharmaceutical company.

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Let's solve your equation step-by-step.

2x+9=8x+21

Step 1: Subtract 8x from both sides.

2x+9−8x=8x+21−8x

−6x+9=21

Step 2: Subtract 9 from both sides.

−6x+9−9=21−9

−6x=12

Step 3: Divide both sides by -6.

-6x/-6=12/-6

x=-2

Answer:

-2 = x

Step-by-step explanation:

First, combine like-terms. I subtracted 21 from both sides and subtracted 2x from both sides. This gave us 12 = -6x. Then, divide to solve for x. This gives us -2 = x.

Hope this helps! Let me know!