Find the volume of the composite space figure to the nearest whole number.

Answer:

To find the second-shortest side we'll multiply 9 by √3 which is 9√3 and for the hypotenuse we'll do 9 * 2 = 18.

Ask your old Brother or Sister they could help you out with this if not then wait till someone helps you on here!

Answer:

1,771.6 inches.

Step-by-step explanation:

As there are 13 girls and 15 boys in the class, there are a total of 28 students (13 + 15). Thus, while the average height of these is 161 cm, the total height in centimeters of all the students is 4.508 centimeters (161 x 28).

Now, 1 centimeter is equal to 0.393 inches. Thus, since 4.508 x 0.393 equals 1,771.6, the height in inches of the entire class measured together is 1,771.6 inches.

Answer:

17.5

Step-by-step explanation:

The answer is 17.5

16+5/2-1

Simply apply BIDMAS

First Division: 5÷2=2.5

Next Addition: 16+3.5=18.5

Finally subtraction: 18.5-1=17.5

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Answer:

2000 dollar and 6% impound will be your answer

Step-by-step explanation:

Answer:

She will have 5,840,000 million

Answer: x = - 6

y = 7

Step-by-step explanation:

Let 2x -5y = -47 be eq. 1

And 6x -5y = -71 be eq. 2

By substrate of 1 - 2:

2x-5y-6x+5y = -47+71

so -4x=24 and x= -6

Substitute x in any eq.

2(-6) - 5y = -47

-5y = -47 +12

-5y = -35 so y= 7

Answer:

The parametric equations represents an ellipse by the rectangular equation \(\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1\).

Step-by-step explanation:

We proceed to use the following trigonometric identity to derive an expression in rectangular form:

\(\cos^{2} t + \sin^{2} t = 1\) (1)

Where:

\(\cos t = \frac{2-x}{3}\) and \(\sin t = \frac{y-1}{4}\)

Then, we expand the expression as follows:

\(\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1\) (2)

The parametric equations represents an ellipse by the rectangular equation \(\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1\).

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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Answer:

Step-by-step explanation:

1. x=1

2.x=  -2

3. x=13

4. x= -17

5. x= -41

9514 1404 393

Answer:

  b) rotational symmetry: multiples of 120°

Step-by-step explanation:

The figure does not have a line of symmetry, or a point of symmetry. However, rotating it 1/3 turn (120°) will make it look like itself. Hence, it has rotational symmetry of degree 3. A rotation of any multiple of 120° will map the figure to itself.

Answer:

A

Step-by-step explanation:

F test is a statistical method used to determine which models best fits the population from which the sample is derived. It is a ratio of two variances. Variance measure the rate of dispersion

The formula for calculating f-test = explained variance / unexplained variance

There are two hypothesis in an f test :

1. the  null hypothesis  - all slope coefficient are equal to zero

the alternative hypothesis : at least one of the slope coefficient is not equal to zero

Answer:

Step-by-step explanation:

a - 7 > 10

~Add 7 to both sides

a > 17

With this being said, any value greater than 17 will be a solution. In the choices given, only 19, 21, and 36 are greater so those are the possible solutions. The others are not solutions.

Best of Luck!

9514 1404 393

Answer:

  53.6 mL

Step-by-step explanation:

The amount of acid is 16.2% of 331 mL, or ...

  0.162 × 331 mL = 53.622 mL

There are about 53.6 mL of acid in the solution.

Answer:

t = 6.8 years

Step-by-step explanation:

The formula for compound interest is

\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.

We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal).  We must solve for t and round to the nearest tenth:

\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)

The function that can be used to determine the amount of money is f(x) = 40 * (1.05)^x

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

Principal = 40

Rate = 5% annually

Time = x

The function that can be used to determine the amount of money is represented as

f(x) = P * (1 + r)^x

Substitute the known values in the above equation, so, we have the following representation

f(x) = 40 * (1 + 5%)^x

Evaluate

f(x) = 40 * (1.05)^x

Hence, the function is f(x) = 40 * (1.05)^x

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Answer:

Please follow;

Please follow;Hope you're having a splendiferous day.

Step-by-step explanation:

1. 5÷½=10

2. 9÷⅓=27

3. 8÷⅘=10

4. 12÷2/6=36

5. 16÷⅘=20

Answer:

Step-by-step explanation:

1.  5/(1/2) = 5*2 = 10

2.  9/(1/3) = 9*3 = 27

3.  8/(3/4) = 8*(4/3) = 32/3 = 10 2/3

4.  12/(2/6) = 12*(6/2) = 12*3 = 36

5.  16/(4/5) = 16*(5/4) = (80/4) = 20

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Step-by-step explanation:

A car is on a slope of 10degree above the horizontal . a force 1000N is applied to the car up the line of the slope. the car has amass of 500 kg . what is the acceleration of the car

Answer:

The point estimate for the true difference between the population means is 0.13.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

Step-by-step explanation:

To solve this question, before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When we subtract two normal variables, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

A sample of 263 cars owned by students had an average age of 7.25 years. The population standard deviation for cars owned by students is 3.77 years.

This means that:

\(\mu_s = 7.25, \sigma_s = 3.77, n = 263, s_s = \frac{3.77}{\sqrt{263}} = 0.2325\)

A sample of 291 cars owned by faculty had an average age of 7.12 years. The population standard deviation for cars owned by faculty is 2.99 years.

This means that:

\(\mu_f = 7.12, \sigma_f = 2.99, n = 291, s_f = \frac{2.99}{\sqrt{291}} = 0.1753\)

Difference between the true mean ages for cars owned by students and faculty.

Distribution s - f. So

\(\mu = \mu_s - \mu_f = 7.25 - 7.12 = 0.13\)

This is also the point estimate for the true difference between the population means.

\(s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2325^2+0.1753^2} = 0.2912\)

90% confidence interval for the difference:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.9}{2} = 0.05\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.05 = 0.95\), so Z = 1.645.

Now, find the margin of error M as such

\(M = zs = 1.645*0.2912 = 0.48\)

The lower end of the interval is the sample mean subtracted by M. So it is 0.13 - 0.48 = -0.35 years

The upper end of the interval is the sample mean added to M. So it is 0.13 + 0.48 = 0.61 years.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Okay so you put -6 in where y is then solve and youll get your answer

-8x-7(-6)=-6

The solution set of the inequalities y ≤ x² – 3 and y > –x² + 2 is the darker region shown in the graph.

An equation is an expression that shows the relationship between two or more variables and numbers.

Inequality is an expression that shows the non equal comparison of two or more numbers and variables

The solution set of the inequalities y ≤ x² – 3 and y > –x² + 2 is the darker region shown in the graph.

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The graphs of f(x) and g(x) are transformed function from the function y = x^2 and the solution of the set of inequalities is (±1.581, -0.5)

The complete question is in the attached image (the first graph)

From the graph, we have:

f(x) = x^2 - 3 and g(x) = -x^2 + 2

To derive y ≤  x^2 - 3, we simply change the equality sign in the function f(x) to less than or equal to.

To derive y > -x^2 + 2, we simply change the equality sign in the function g(x) to greater than

The inequalities of the graphs become

y ≤ x^2 - 3 and y > -x^2 + 2

From the graph of the above inequalities (see attachment 2), we can see that the curves of the inequalities intersect at (±1.581, -0.5)

Hence, the solution of the set of inequalities is (±1.581, -0.5)

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If the top 2% of athletes will go pro, then the Z-Score that is required to be 0.0438.

In this question, we have been that the top 2% of athletes will go pro.

We are required to find the Z-Score that is required to be the top 2%.

Because only 2% of the top is pro then it will be a two tailed test.

The required percentage will be 2/2=1%

The value which we will require to catch up from table = 0.01

Z value = 0.0438

Therefore, if the top 2% of athletes will go pro, then the Z-Score that is required to be 0.0438.

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The probability that Aakesh will select a blue marble from each bag is 4/45.

To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.

Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:

P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag

P(Blue from first bag) = 2 / 5

Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:

P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag

P(Blue from second bag) = 2 / 9

To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:

P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)

P(Blue from both bags) = (2 / 5) * (2 / 9)

P(Blue from both bags) = 4 / 45.

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The solution for x, is x= (3m - b)/2. (Option-d)

To solve for x in the given equation, m=(2x+b)/3, we can start by isolating x on one side of the equation.

First, we can multiply both sides of the equation by 3 to get rid of the denominator:

3m = 2x + b

Next, we can subtract b from both sides of the equation:

3m - b = 2x

Finally, we can divide both sides of the equation by 2:

x = (3m - b)/2

It's important to note that this is a linear equation with one unknown variable, and we can use algebraic methods to solve for the unknown variable. This equation may arise in many fields of study, including physics, engineering, and economics, among others.(Option-d)

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