The spinner above is used in a game. What is the theoretical probability of the given event with one spin? P(a composite number) a. c. b. d.

We can subtract the number 5 from 25 five times.

To find out how many times you can subtract the number 5 from 25, you need to perform a division operation. Divide 25 by 5 and you will get the answer.

To see why, consider that the first time you subtract 5 from 25, you get 20. The second time you subtract 5 from 20, you get 15. Continuing this process, you get 10, 5, and finally 0 after the fifth subtraction.

If you try to subtract 5 from 0 again, you would end up with a negative number, which does not make sense in this context. Therefore, you can only subtract the number 5 from 25 five times.

Divide 25 by 5
25 ÷ 5 = 5

So, you can subtract the number 5 from 25 five times.

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Answer:

Option C is correct.

Step-by-step explanation:

Here, boy knows his height and shadow length

And he know the length of tree shadow.

We need to find height of the tree.

And tree and it's shadow makes right angle at the point of intersection.

So, S A S rule works here.

Answer:

Step-by-step explanation:

5. A n B = ∅  (the empty set)

6. A u B = {x|x is an integer, x ≠ 0}

7. B n C = {x|x<0}

8. B u C = {x|x<0 or a positive odd integer}

A recursive algorithm to find a^2n, where a is a real number and n is a positive integer, is as follows:

This algorithm uses the property of exponentiation that a^(2n) = (a^n)^2, and divides the problem of finding a^2n into a smaller subproblem of finding a^n. It takes advantage of the recursive nature of the problem by calling the same algorithm with a smaller value of n.

The time complexity of this algorithm is O(log n) as it divides the problem into half at each recursive step.

It should be noticed that this algorithm assumes that the input value of n is positive, otherwise it would be necessary to add a check for a negative value or zero.

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Answer:

a trapezoid i think

Step-by-step explanation:

i hope this helps

Super sorry if if im wrong

Answer:28

Step-by-step explanation:

Break it up! 6x3 is 18. Then 18 + 10 is 28 :P

Hope this helps :D

Answer:

(2,7)

Step-by-step explanation:

source: trust me bro

The solution set for the inequality expression is (-∞, -6)

Inequality are expressions that does not involve an equality sign.

Given the following parameters

-3x + 3 > -21

Subtract 3 from both sides

-3x + 3 - 3 > 21 - 3

-3x > 18

Divide both sides by -3

-3x/-3 < 18/-3

x < -6

Hence the solution set for the inequality expression is (-∞, -6)

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Using the binomial distribution, you would expected to draw a face card 8 times.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

For this problem, the parameters are given as follows:

Then the expected value is found as follows:

E(X) = np = 35 x 12/52 = 420/52 = 8.

Thus, you would expected to draw a face card 8 times.

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So here, for basically any quadratic function, the domain is: \(x \in \mathbb{R}\).

Now right off the bat, that means C and D are out.

Also, since this graph has a negative sign in front of the x^2, that means it is facing downwards and so it has a maximum. The only option that leaves us with is A.

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

360is  the answer

Step-by-step explanation:

Answer:

$48

Step-by-step explanation:

To find 40% of a number (in this case, 80), you should divide 40 by 100 then multiply it by 80. Then you will get 32. Then you subtract 32 from 80 to get 48.

Answer:

2

Step-by-step explanation:

The total number of students who play football is given as 40 in the table. We can find the missing number by subtracting the total number of students who play basketball (38) from the total number of students who play football:

Total number of students who play football - Total number of students who play basketball = Missing number

40 - 38 = 2

Therefore, the missing number in the table is 2.

Answer:

its 40

Step-by-step explanation:

1. the answer above was careless and did not take there time to get the right answer for you I apologize in advance.

2. I Just took the test and got this correct.

3. if you look at the total for both sections on the bottom you can its the the number of the players who did and not play basketball added up. Best of luck to you.

The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).

To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.

First, let's find the second derivative of f(x):

f'(x) = -3 sin x (derivative of cos x)

f''(x) = -3 cos x (derivative of -3 sin x)

Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:

When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.

When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

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Answer:

9.14400m

Step-by-step explanation:

The value of x is 3 days.

Here,

Jenna alone takes x days to finish a project.

Kelly alone takes 3 days more than Jenna alone to finish the project.

They together take 2 days to finish the project.

We have to find the value of x.

What is Mathematical expression?

Mathematical expression is a way where calculations and analytical processes should be observed.

Now,

Jenna alone takes x days to finish a project.

Hence, Jenna complete work in 1 day = 1/x work

Kelly alone takes 3 days more than Jenna alone to finish the project.

That is, x + 3 days.

Hence, Kelly complete work in 1 day = \(\frac{1}{x+3}\) work

They together take 2 days to finish the project.

Hence, They together complete a work in 1 day = 1/2 work.

To find the value of x we use the formula of work word problem as;

\(\frac{1}{x} + \frac{1}{x+3} = \frac{1}{2} \\\\\frac{(x+3)+x}{x(x+3)} = \frac{1}{2}\\\\2(2x+3) = x (x+3)\\\\4x + 6 = x^{2} + 3x\\\\x^{2} -x-6=0\\\\x^{2} -3x+2x-6=0\\\\x (x-3) +2(x-3)=0\\\\(x+2) (x-3) = 0\\\\x = -2, x = 3\)

Since, The value of x = -2 is not possible (because days are not shown in negative sign).

Hence, The value of x is 3 days.

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The ratio of carnations to all flowers in the vase is 1:4.

To find the ratio of carnations to all flowers, we need to compare the number of carnations to the total number of flowers in the vase.

Count the total number of flowers in the vase.

The vase contains 16 roses, 10 carnations, and 14 daisies. Adding these numbers together, we get a total of 40 flowers.

Determine the ratio of carnations to all flowers.

Out of the total 40 flowers, we have 10 carnations. Therefore, the ratio of carnations to all flowers can be expressed as 10:40.

Simplify the ratio to its lowest terms.

To simplify the ratio, we can divide both numbers by their greatest common divisor (GCD), which in this case is 10. Dividing 10 by 10 gives 1, and dividing 40 by 10 gives 4. Hence, the simplified ratio is 1:4.

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The recursive formula for g(n) is:

g(1) = -72 (base case)

g(n) = \(g(n-1) \times (-1/6)\) (for n > 1)

A recursive formula is a formula that defines a sequence or function by expressing each term in terms of one or more previous terms.

It is a way of defining a sequence or function iteratively, where each term or value depends on the previous terms or values.

To find the recursive formula for \(g(n) = -72\times (1/6)^{(n-1)} ,\)   we need to express the function in terms of its previous term, g(n-1).

Notice that g(n) can be obtained by multiplying g(n-1) by -1/6.

This is because:

\(g(n) = -72\times (1/6)^{(n-1)}\)

\(g(n-1) = -72\times (1/6)^{(n-2) }\)

So we can write:

\(g(n) = g(n-1) \times {(-1/6) }\)

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Answer:

25.08

Step-by-step explanation:

330 x .076=25.08

The MCVST or MCVSD admission test is an entrance exam for students who live in New Jersey and are seeking admission to the Morris County Vocational School District. This test is designed to assess the academic abilities and potential of students.

The MCVST admission test typically includes sections in math, reading comprehension, and language skills. The math section assesses the student's understanding of mathematical concepts and problem-solving skills. The reading comprehension section evaluates the student's ability to understand and analyze written passages. The language skills section tests the student's knowledge of grammar, vocabulary, and sentence structure.

To prepare for the MCVST admission test, there are several practice tests available online. Some websites offer free practice tests specifically designed for this exam. You can search for these practice tests by using keywords like "free MCVST admission test practice" or "MCVSD practice tests."

Remember to utilize these practice tests to familiarize yourself with the types of questions and format of the MCVST admission test. This will help you feel more confident and prepared on test day.

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Answer:

n=2.56

Step-by-step explanation:

Substitute the values of a, b, and c into the formula, calculate the discriminant to determine the nature of the solutions, and then solve for x by applying the formula. The solutions for x are approximately 2.15 and -0.82 when rounded to the nearest hundredth.

The quadratic formula is a mathematical equation used to find the solutions of a quadratic equation in the form ax² + bx + c = 0. By substituting the values of a, b, and c from the given equation into the formula, we can calculate the solutions for x.

The discriminant, which is the expression inside the square root in the formula, helps determine the nature of the solutions. If the discriminant is positive, there will be two distinct real solutions. If it is zero, there will be one real solution.

If it is negative, there will be two complex solutions. In this case, the discriminant is positive, indicating that there are two distinct real solutions. When we solve the equation using the quadratic formula, we find that the solutions for x are approximately 2.15 and -0.82 when rounded to the nearest hundredth.

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The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

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

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

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Answer:

i think it is 1/100

Step-by-step explanation:

4/20^2 add all the marbles number together than put the amount of orange marbles on top of it so it is 4/20 than square it

The given rational functions is graphed in the figure  is Option B. f(x) = 1/ ( x-2) (x + 5) is correct.

The function is a type of relation, or rule, that maps one input to specific single output.

Here, a graph is given.

We need to find which of the given rational functions is graphed in the figure.

On x-axis, 1 unit = 2 units

Clearly, we can see the graph is not defined at point x = 2 and at x = -5.

Corresponding to x = 2, factor is (x - 2) .

Corresponding to x = -5, factor is (x + 5) .

So, this graph is of the rational fraction

Hence, Option B. f(x) = 1/ ( x-2) (x + 5) is correct.

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a) Rounding this to the nearest whole number, we get an expected number of runs scored in a season of 10,935.

b)  We can assume that the expected number of runs scored in a season of 500 is not achievable with any reasonable batting average.

a. To find the expected number of runs scored in a season for a team with a batting average of 0.235, we substitute 0.235 for x in the regression equation:

y = 9,760 + 5,000x

y = 9,760 + 5,000(0.235)

y = 9,760 + 1,175

y ≈ 10,935

Rounding this to the nearest whole number, we get an expected number of runs scored in a season of 10,935.

b. To find the assumed team's batting average given an expected number of runs scored in a season of 500, we rearrange the regression equation and solve for x:

y = 9,760 + 5,000x

500 = 9,760 + 5,000x

5,000x = -9,260

x = -1.852

This negative value for x doesn't make sense in the context of batting average, so we can assume that the expected number of runs scored in a season of 500 is not achievable with any reasonable batting average.

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The correct statement is option D: "The p-value is less than or equal to 0.05."

The significance level, also known as the alpha level, is the threshold used to determine whether the results of a statistical test are statistically significant. In this case, the test resulted in the rejection of the null hypothesis at a significance level of 0.05.

The p-value is a measure of the strength of evidence against the null hypothesis. It represents the probability of observing a test statistic as extreme as, or more extreme than, the one obtained if the null hypothesis is true. If the p-value is less than or equal to the chosen significance level (0.05 in this case), it indicates that the evidence is statistically significant and supports the rejection of the null hypothesis.

Therefore, the correct statement is that the p-value is less than or equal to 0.05. Option A is not necessarily true because the results may not be statistically significant at the 10% level. Option B is also not necessarily true because the results may not be statistically significant at the 1% level. Option C is incorrect as it contradicts the fact that the null hypothesis was rejected at the 0.05 significance level.

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