A school has a ratio of girls to boys as follows:
6:5
What fraction of the school is girls

Answer:

The order from smallest to largest price per package is: December, April, February.

Step-by-step explanation:

For the sale in February:

- Price per package = $4.49 ÷ 3 = $1.50 per package

For the sale in April:

- Price per package = $7.39 ÷ 5 = $1.48 per package

For the sale in December:

- Price per package = $5.88 ÷ 4 = $1.47 per package

First:

A. (First Option)

Second:

C. (Third option)

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Answer:

Question 3:

O (7 x 50) - (7 x 2) = 350 – 14 = 336

Question 3:

O (9 x 80) + (9 x 1) 729

Step-by-step explanation:

Distributive Property is used in algebraic expressions, to divide the equation, to make it easier to solve. For question 1,  since it was 20, you must subtract 8 from that answer, because 20 is 1 more than 19. For question 2, (2 x 9) + (2 x 3) would be the same thing as 2(9+3).

-kiniwih426

Answer:

5.6 x \(10^{4}\)

Step-by-step explanation:

7 x 8 = 56

\(10^{-2}\) x \(10^{5}\) = \(10^{3}\)

56 x \(10^{3}\)

5.6 x \(10^{4}\)

Answer:

The answer is

\(5.6 x 10^{4}\)

Answer:

We must first find the LCM

The LCM is (x - 2)x

So we have

\( \frac{6x}{x - 2} - \frac{5}{x} = \frac{ {6x}^{2} - 5(x - 2)}{( x - 2)(x)} \\ \\ \\ \frac{ {6x}^{2} - 5x + 10 }{(x - 2)x} \)

Hope this helps you

We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

Removing the electric car from the data set will reduce the standard deviation as the extreme value of 112 mpg is taken out, resulting in a decrease in the spread of the data. The interquartile range (IQR) will also be affected as the extreme outlier is taken out, will decrease the spread of the data in the boxplot.

The electric car with a rating equivalent to 112 miles per gallon is an extreme outlier, which means it is very far from the rest of the data. Therefore, removing this outlier from the data set will decrease the variability and, consequently, decrease the standard deviation. The extreme outlier with the rating equivalent to 112 miles per gallon is outside of the whiskers of the boxplot, which means it is beyond the range of the middle 50% of the data. Therefore, removing this outlier from the data set will decrease the spread of the data in the boxplot and, consequently, decrease the IQR.

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Answer:

The scale is 1/3

Step-by-step explanation:

Answer:

B. -2

Step-by-step explanation:

A relation that is not a function would have one x-value having two different corresponding y-values.

If we choose -2 to represent b I the relation, the relation would not be a function. This is because, we there would be two different y-values, 8 and 1, that are assigned to one x-value, which is -2 ==> (-2, 8) and (-2, 1).

Changing the multiplication sign to a division sign, we will have 28 ÷ 7

Given the product of 28 and 1/7, we are to write a division equation involving division by a fraction.

Given

28 * 1/7 = 4

Changing the multiplication sign to a division sign, we will have:

28 * 1/7 = 28/7

This can also be written as 28 ÷ 7

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Answer: 12 possible choices

Step-by-step explanation: there are 4 drink options, and 3 snack options so using the counting principle we would do 4 x 3 to get 12. You could also check individually since it is not a big number by doing: 1 choice with coke and peanuts, another with coke and fruit, etc.

If all of the 720 pairs of shoes are sold at $25.00 per pair with a profit margin of 25%, the shoe store will make $4,500.00.

Selling price is the amount of money that a seller charges for a particular product or service in order to make a profit.

The selling price of a pair of shoes is $25.00, and the profit for the shoe store is 25% of the selling price, or 0.25 x $25.00 = $6.25.

To find out how much the shoe store will make if all of the shoes are sold, we need to multiply the number of pairs of shoes by the selling price and then by the profit margin:

Total revenue = Number of pairs of shoes x Selling price x Profit margin

Total revenue = 720 pairs x $25.00 x 0.25

Total revenue = $4,500.00

Therefore, if all of the 720 pairs of shoes are sold at $25.00 per pair with a profit margin of 25%, the shoe store will make $4,500.00.

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Answer:

-11

Step-by-step explanation:

Answer:

\(x=-11\)

Step-by-step explanation:

\(-1=\frac{\left(5+x\right)}{6}\)

Switch sides:

\(\frac{\left(5+x\right)}{6}=-1\)

Multiply both sides by 6:

\(\frac{6\left(5+x\right)}{6}=6\left(-1\right)\)

\(5+x=-6\)

Subtract 5 from both sides:

\(5+x-5=-6-5\)

\(x=-11\)

Answer:

1) C = 2pi(r)

2) 2(x-5) = 20 - x

The possible values of the solutions to the inequality 5x + 5 ≥ −9 are: I, II, and III.

To find the possible values of the solution to a given inequality, solve the inequality given using the properties of equality to isolate the variable.

Given the inequality:

5x + 5 ≥ −9

Subtract 5 from both sides:

5x + 5 - 5 ≥ −9 - 5 [subtraction property of inequality]

5x ≥ -14

Divide both sides by 5

5x/5 ≥ -14/5

x ≥ -2.8

This means that all the possible values of x are greater than or equal to -2.8.

1, 4, and 6 are greater than -2.8, therefore, the values of the solutions are: I, II, and III.

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Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

Answer:

Step-by-step explanation:

The Laplace inverse is not a standard function on most calculators. However, if you have a graphing calculator that supports Laplace transforms, you can use it to find the Laplace inverse by performing the inverse Laplace transform on a function.

Here's the general procedure for finding the Laplace inverse on a graphing calculator:

Enter the Laplace transform of the function you want to find the inverse of.

Select the inverse Laplace transform function from the calculator's menu.

Enter the desired complex variable, usually represented by "s" in Laplace transform notation.

The calculator will return the inverse Laplace transform of the function, which represents the original function in the time domain.

Note: The exact steps for finding the Laplace inverse on a graphing calculator will vary depending on the model and brand of the calculator. It's best to consult the manual or a reference guide for your specific calculator to determine how to perform the inverse Laplace transform.

False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

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Answer:

25% red and 28% blue.

Step-by-step explanation:

Answer:

90.6

Step-by-step explanation:

total is 181.2 divided by 2 is 90.6

Answer:

(x=8) (y=7)

Step-by-step explanation:

Answer:  multiply $3.20 by 3 and $4.50 by 5 then add them together

Step-by-step explanation:

3.20 * 3 = 9.60 / 4.50 * 5 = 22.50

$9.60 + $22.50 = $32.1

I hope this helps!

Answer:

10(6) + 5x = 180

60 + 5x = 180

- 60 - 60

---------------------

5x = 120

------------

5 5

x = 24

Step-by-step explanation:

The shipment contains a total of 180 pounds of potatoes. There are two types of bags of potatoes. One weighing 10 pounds and the other weighing 5 pounds. There are 6 bags of potatoes weighing 10 pounds each and x bags of potatoes weighing 5 pounds each. Two numbers can be added up to bring a total of 180 so we can write this equation as 10(6) + 5x = 180. This problem speaks of pounds in particular so that is why 10 and five go in front of the secondary numbers. After that, just solve. The steps are shown above. ^^^ If I am wrong, please let me know. I hope this helps! :D

Answer:

Below in bold.

Step-by-step explanation:

The general form of a linear function can be written as:

n(p) = kp + C      where k and C are constants.

So substituting the given data:

8000 = 3k + C

5200 = 5k + C    Subtract

2800 = -2k

k = -1400

and C = 8000 - 3(-1400) = 12200

a. So the equations is:

n(p) = -1400p + 12200

b.

For a charge p of $6.50;

n(p)  = -1400*6.5 + 12200

= 3100 balls.

Answer:

30.5 for decimal form and 30 1 /2 if mixed fraction needed

An equation highlighting the discount: y = (65 - 7)x

A simpler equation: y = 58x

Answer:

16 years old.

Step-by-step explanation:

(24+24+15+16+19+X) / 6 = 19

(98 + X) / 6 = 19

98 + X = (19)*(6)

98 + X = 114

X = 114-98

X = 16

The mean is the average value of a set of data. To calculate the mean, you add up all the data values and then divide the sum by the number of values in the set.

For the first sample with data values of 10, 20, 11, 17, and 12, the mean can be calculated as follows:
(10 + 20 + 11 + 17 + 12) / 5 = 70 / 5 = 14

So, the mean of this sample is 14.

The median is the middle value in a set of data when the data is arranged in order. If there is an even number of values, the median is the average of the two middle values.

For the first sample with data values of 10, 20, 11, 17, and 12, the median can be calculated as follows:
First, arrange the data in order: 10, 11, 12, 17, 20
Since there are 5 values, the middle value is the third value, which is 12.

So, the median of this sample is 12.

Now, let's move on to the second sample with data values of 10, 20, 21, 18, 16, and 17.

To calculate the mean:
(10 + 20 + 21 + 18 + 16 + 17) / 6 = 102 / 6 = 17

So, the mean of this sample is 17.

To calculate the median:
First, arrange the data in order: 10, 16, 17, 18, 20, 21
Since there are 6 values, the middle values are the third and fourth values, which are 17 and 18. To find the median, we take the average of these two values:
(17 + 18) / 2 = 35 / 2 = 17.5

So, the median of this sample is 17.5.

Lastly, let's consider the third sample with data values of 51, 54, 71, 58, 65, 56, 51, 69, 56, 68, and 51.

To calculate the mean:
(51 + 54 + 71 + 58 + 65 + 56 + 51 + 69 + 56 + 68 + 51) / 11 = 660 / 11 = 60

So, the mean of this sample is 60.

To calculate the median:
First, arrange the data in order: 51, 51, 51, 54, 56, 56, 58, 65, 68, 69, 71
Since there are 11 values, the middle value is the sixth value, which is 56.

So, the median of this sample is 56.

Please note that the mode refers to the value(s) that appear most frequently in a set of data. In the given questions, mode is not requested for the first and second samples. However, if you need to calculate the mode for the third sample, it would be 51, as it appears three times, which is more than any other value in the set.

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Using the above property, the expression of the problem is simplified as follows:

Step-by-step explanation:

Volume of a sphere is given by the formula

4/3 pi r^3       diameter = 6.3 cm  so radius, r = 3.15 cm

4/3 * pi * (3.15)^3 = 130.9 cm^3

The expected number of cards that you need to flip before you see the first ace is known as the expected value or expected number of trials. To find the expected value, you can use the formula:

E = (probability of success) * (number of trials)

Where E is the expected value, probability of success is the probability of seeing an ace on a single card flip, and number of trials is the number of cards that you need to flip.

Since there are 4 aces in a deck of 52 cards, the probability of success is 4/52 = 1/13. Plugging this into the formula above, we get:

E = (1/13) * (number of trials)

To find the expected number of trials, we can solve for number of trials:

number of trials = E / (1/13) = 13 * E

So the expected number of cards that you need to flip before you see the first ace is 13.