2/5 of the workers in a factory are females. find the ratio of the number if male workers to the number of female workers

Answer:

1st option - \(\frac{1}{\sqrt[5]{7x } }\)

Step-by-step explanation:

A fractional power can be broken down.

The denominator will be the root number

The numerator will be the power

For example x^1/2 = √x^1 = √x

So :

\(\frac{1}{7x^{\frac{1}{5} } }\) = \(\frac{1}{\sqrt[5]{7x^{2} } }\)  = \(\frac{1}{\sqrt[5]{7x}}\)

So 1st option

Answer: the answer on the far left

Step-by-step explanation: i looked it up

Answer: \(\frac{9}{16}\)

Step-by-step explanation:

We need to find the ratio of girls to the total number of students. That means our ratio is going to be 72 (the number of girls) over 56+72 (boys + girls, the total number of students).

When you add 56+72, you'll get 128 in the denominator. Continuing to simplify the fraction, you'll end up with:

\(\frac{72}{128}\) = \(\frac{9}{16}\)

Depending on what format your teacher wants, this can be written as \(\frac{9}{16}\) or 9:16.

Answer:

Around 2.9 gallons is equivalent to 11 liters.  

Step-by-step explanation:

Key skills needed: Conversion, Division, Equations

1) 1 gallon  = 3.79 liters

2) We want to find how many gallons 1 liter is equal to ---> Use the original equation and divide by 3.79 on both sides.

You will get --> 1 liter  = 1/3.79 gallons

3) To find how many gallons 11 liters is we multiply both sides by 11.

We will get 11 liters  = 11/3.79 gallons ---> 11/3.79 is 2.9 when rounded to the nearest tenth.

Therefore 2.9 gallons is the answer.

Hope you understood and have a nice day!! :D

Answer:

The values in the table suggest that there is a mathematical relationship between the two variables X and Y. Upon inspection, we can observe that Y is increasing with respect to X, and the increase seems to be non-linear. Specifically, as X increases by a factor of 2, Y increases by a factor of approximately 1.5 to 2.

Based on these observations, it seems that the relationship between X and Y may be an exponential one. To confirm this, we can plot the data points on a graph and see if they form a curve that resembles an exponential function.

Alternatively, we can calculate the ratio of Y to X and see if it remains approximately constant. This can be done by dividing each value of Y by its corresponding value of X:

1/5 = 0.2

2/10 = 0.2

3/15 = 0.2

5/25 = 0.2

8/40 = 0.2

The ratio remains constant at approximately 0.2, suggesting that the relationship between X and Y may be a proportional one, with a constant of proportionality equal to 0.2.

Therefore, the table represents a proportional relationship between X and Y, where Y is proportional to X with a constant of proportionality equal to 0.2.

Step-by-step explanation:

Here's a step-by-step explanation of how to evaluate the table:

1. Identify the variables: The table contains two variables, X and Y, which are listed in two separate columns.

2. Examine the values: Look at the values in the table for both X and Y. Notice that as X increases, so does Y.

3. Determine the pattern: To determine the pattern between the two variables, calculate the ratio of Y to X. If the ratio is constant, then the relationship is proportional. If the ratio changes, then the relationship is nonlinear.

4. Calculate the ratio: To calculate the ratio, divide each value of Y by its corresponding value of X. For example, to find the ratio for the first row, divide 1 by 5: 1/5 = 0.2. Continue calculating the ratios for each row.

5. Analyze the ratio: If the ratios are approximately constant, then the relationship is proportional. In this case, we see that the ratios are all approximately 0.2, so we can conclude that the relationship is proportional.

6. Determine the constant of proportionality: To determine the constant of proportionality, simply use any one of the rows in the table. For example, let's use the first row, where X = 5 and Y = 1. The ratio of Y to X is 0.2, so we can write the relationship as Y = 0.2X. This means that for every increase of 1 unit in X, Y increases by 0.2 units.

7. Summarize the result: Based on the analysis, we can say that the table represents a proportional relationship between X and Y, with a constant of proportionality equal to 0.2.

Given

X 5 10 15 25 40

Y 1 2 3 5 8

5 / 40 = 0.2

y=0.2x

The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

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Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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Using the information from the given diagram, the measure of angle x (m ∠x) is 52°

From the question, we are to determine the measure of angle x.

From the given diagram, we can write that

m ∠A + m ∠H + m ∠I = 180° (Sum of angle in a triangle)

Also,

m ∠K = m ∠I (Corresponding angles theorem)

∴ m ∠I = 62°

Thus,

x° + 66° + 62° = 180°

x° + 128° = 180°

x° = 180° - 128°

x° = 52°

Hence, the measure of ∠x 52°

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Answer:

a fraction in which the numerator is greater than the denominator, such as 5/4.

Step-by-step explanation:

A fraction consists of a Numerator and a Denominator. The numerator tells how many parts out of all are there. The denominator tells how many total parts are there. A fraction in which the numerator is greater than the denominator is called an improper fraction.

Hope it helps!

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Explanation:

Choice A is a reflection. Choice C is a rotation. Reflections and rotations are isometries because they preserve the same shape and size of the original figure. Translations are the third type of isometry.

Choice B is not an isometry. It looks like an extra point is added along with extra line segments. The before and after figures are completely different.

This is an example of an arithmetice series.

Step 1: Write out the formula for finding the nth term of an arithmetric series

Answer:

No.

Step-by-step explanation:

3x+2y<11 doesn't have a y-intercept of 6 and doesn't have a x-intercept of 4.

2x-y<9 is not the same direction as 3x+2y<11.

The vertex form of the equation is y = (x - 3)² - 4 , the correct option is (b).

In the question ,

it is given that ,

the equation is y = x² - 6x + 5

we need to write the equation in the vertex form ,

we know that the vertex form of the equation is

y = m(x − a)² + b  , where (a,b) is the vertex .

On using the completing the square method for the equation,

y = x² - 6x + 5

Adding and subtracting 9 , in the equation

y = x² - 6x + 9 + 5 - 9

y = x² - 6x + 3² + 5 - 3²

y = (x - 3)² - 4                       ....because (x - 3)² = x² - 6x + 3²

Therefore , The vertex form of the equation is y = (x - 3)² - 4 , the correct option is (b).

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Step-by-step explanation:

This is a geometric series where our common ratio is -1/2, and a is -4

Since r is less than -1, this series converges so

The sun is

\( \frac{ - 4}{1 + 0.5} \)

\( \frac{ - 4}{1.5} = - \frac{8}{3} \)

The sum is -8)3

The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

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Answer:

A

Step-by-step explanation:

Answer:

a.) Favorite Beverage, Handedness, Occupation.

b.) Year of birth

c.) Age and typing speed

d.) Self-report of Assertiveness

Step-by-step explanation:

Scales of measurements are used in statistics to classify variables. The scale of measurement of a variable is important in statistics because it determines the kind of satisfaction analysis that should be used on it.

The four types of scale of measurement are;

1.) Norminal Scale: The normal scale is a categorical scale where variables are labeled with no specific order. No calculations can be done on this type of measurement because they do not have values and there is usually no order. Examples include;

Occupation, Favorite Beverage and Handedness.

2.) Ordinal Scale: This is used to show the order of variables. It is similar to the norminal scale with a slight difference. The ordinal scale has some form of ranking, that is some variables will be considered better or higher than others. Example include;

Self-report of assertiveness. Someone that claims to be highly assertive can be ranked above one that is just assertive.

3.) Interval Scale: This kind of measurements shows definite intervals between variables. It is like a scale where the order and the difference between variables are shown with no true zero value. Variables that fall under this category include; temperature and year of birth.

4.) Ratio Scale: This is the most accurate scale of measurement that encompasses the norminal, ordinal and interval scale of measurement. It has a zero value, shows order, interval and can still categorized. And example is the Age of students and typing speed.

Answer:

C. 2

Step-by-step explanation:

Because 4 and 3 are twice as much as 2 and 1.5.

According to the z-score distribution table, we find out that the p-value is 0.0752 for the given test statistic of z = 1.438 which is accurate to four decimal places.

It is given to us that -

A study is conducted to see if the probability of catching the flu this year is significantly more than 0.23

The sample data produces the test statistic

The value of z = 1.438

We have to find out the p-value accurate to four decimal places.

We know that the p-value is known as the decimal value which can be expressed from 0 to 100%. This p-value is important in hypothesis testing in order to establish the significance of the results expected.

We are given that the test statistic, z = 1.438 and we know that this is a two-tailed test.

So, we can obtain the p-value from the z distribution table.

P-value = 2P (Z<1.438)

=> P-value = 0.0752       [Value from z-score table]

Thus, from the z-score distribution table, we find out that the p-value is 0.0752 which is accurate to four decimal places.

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The coefficient of the second term, 6x⁴, is 6.

The terms of the polynomial are:

-4y⁵, 6x⁴, 9w³, -4w, -1

The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.

The coefficient is 6.

Therefore, the list of terms is:

-4y⁵, 6x⁴, 9w³, -4w, -1

Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.

The coefficients indicate the scalar value by which each term is multiplied.

The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.

Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.

There is a 6 coefficient.

As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.

Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.

The scalar value by which each phrase is multiplied is shown by the coefficients.

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Here, we just need to add x and y and subtract it from 180.

x + y = 91 + 42 = 133.

180 - 133 = 47.

Hence, z = 47 degrees.

Answer:

Step-by-step explanation:

straight line = 180° we remove the angles x and y and find z

180 - 91 - 42 =

47°

The total cash due at signing is $3,700 at the local dealership..

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

The total cash due is calculated as:

Down payment: $1,800

Security deposit: $400

Acquisition fee: $300

Total: $1,800 + $400 + $300

Apply the addition operation, and we get

= $3,700

Thus, the total cash due at signing is $3,700.

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The area of the given figure is 27.5 square centimeter which has a rectangle and triangles

The given figure has a rectangle and triangles

The area of rectangle is length times width

Area of rectangle =5×4

=20 square centimeter

Area of triangle =1/2×base×height

=1/2×2.5×3

=7.5/2

=3.75 square centimeter

As there are two triangle = 2(3.75)

=7.5 square centimeter

Total area = 7.5+ 20

=27.5 square centimeter

Hence, the area of the given figure is 27.5 square centimeter

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Answer:

∴ x = 4.5, y = 5.5

Step-by-step explanation:

x + y = 10 ------ equation (1)

x - y = -1 ------ equation (2)

Add equations (1) and (2):

(x + y) + (x - y) = 10 + (-1)

   x + y + x - y = 10 - 1

                  2x = 9

                 ∴ x = 4.5

Substitute x = 4.5 into equation (1):

4.5 + y = 10

     ∴ y = 5.5  

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

n = 150/6

or

n = 25

Step-by-step explanation:

Since martin read during 150 minutes for six days, all you need to do is divide the time by the amount of days to get how many minutes (n) martin read per day.

Therefore, n = 150 / 6

If you make the division n = 25

Answer:

0.375

Step-by-step explanation:

3/2 equals 1 and a half, and 1 and a half divided by 4 will get you 0.325

Answer:

4x - 2 = 3x + 1. Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member. 4(3) - 2 = 3(3) + 1.

Answer: 7.32

Step-by-step explanation: