The ratio shows the ratio of adults to children needed for two activities
Adults : children
Painting 1 : 9
Rafting 1 : 3
there are 5 adults to supervise for painting. What is the greatest number of chidren that can paint

Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.

In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.

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3990 is the lowest common multiple (LCM) of 105 and 190.

To work out the lowest common multiple (LCM) of 105 and 190, we need to first draw the prime factor tree for 190. According to the prime factor tree for 190 is:

Next, we can find the prime factors of 105 using a similar method. According to, the prime factorization of 105 is 3 x 5 x 7.

To find the LCM of two numbers, we need to multiply together the highest powers of all the prime factors that appear in either number. In this case, the prime factors that appear in either number are 2, 3, 5, 7, and 19.

\(2^1 \times 3^1 \times5^1 \times 7^1 \times 19^1 = 3990\)

So, the lowest common multiple (LCM) of 105 and 190 is 3990.

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Answer: 12x

Step-by-step explanation:

12 times x = 12x

Hope it helped u,

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The table of values that represents a linear function is the table B since it can be written in the form Ax + By = C

For a table of values to be a linear form, the difference between the x and y values must be equal and must be able to be written in the form Ax + By = C

According to table B, we can use the following coordinate points from the table:

(-1, 4) and (2, 1)

Get the slope:

Slope m = (1-4)/2-(-2)

Slope m = -3/4

Get the y-intercept

Recall that y = mx + b

Using the coordinate (2, 1) and the slope m = -3/4

1 = -3/4(2) + b

1 = -3/2 + b

b = 1 + 3/2

b = 5/2

Get the required equation in the form y = mx + b

y = -3/2 x + 5/2

Multiply throgh by 2

2y = -3x + 5

2y + 3x = 5

3x + 2y = 5

Hence the table of values that represents a linear function is the table B since it can be written in the form Ax + By = C

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You are given either the x value or the y value.

Replace the x or y in the equation and solve for the missing values.

-4x + 5y = 3

First you are given x = 0:

So you have -4(0) + 5y = 3

Simplify:

0 + 5y = 3

Divide both sides by 5:

y = 3/5

Next you have x = 1:

-4(1) + 5y = 3

Simplify:

-4 + 5y = 3

Add 4 to both sides:

5y = 7

Divide both sides by 5:

y = 7/5

Third you are given y = 3

-4x + 5(3) = 3

Simplify:

-4x +15 = 3

Subtract 15 from both sides:

-4x = -12

Divide both sides by -4:

x = 3

Answer:

4 x 20 - X

Step-by-step explanation:

4 times 20 - X

x is the unknown variable

Unknown variable = what you are trying to find.

Answer:

Step-by-step explanation:

Answer:

-98

Step-by-step explanation:

I hope this help

The numeric value of the function when x = 0 is found replacing each instance of x by zero in the definition of the function.

If a graph is given, then the numeric value is given as the value of y when the function crosses the y-axis.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

Supposing we have a function definition, then the numeric value at x = 0 is found replacing each instance of x by zero.

On graph, x = 0 is when the graph of the function touches or crosses the y-axis.

The problem is incomplete, hence the general procedure to obtain the numeric value at x = 0 was presented.

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Therefore, there are 4 vertices in this graph.

Let V be the number of vertices in the graph. The sum of the degrees of all vertices in an undirected graph is twice the number of edges, so in this case, the sum of degrees is 2 * 10 = 20.

We know that two vertices have degree 4, so the degrees of the remaining vertices must add up to 20 - 2 * 4 = 12.

If there are v vertices of degree 3, then the total degree contributed by those vertices is 3v, so we have:

3v + 2 * 4 = 20

3v = 12

v = 4

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Answer:

24t = amount earned

Step-by-step explanation:

12 dollars per hour

so 12*t

since coach would double all the money they earned, it would mean multiplying 12t by 2 which would make the answer 24t= amount earned

Answer:

63%=63/100

50%=50/100=1/2

Step-by-step explanation:

Answer:

1. 63% as a fraction would be 63/100 in simplest form

2. 50% as a fraction would be 1/2 in simplest form

Step-by-step explanation:in the first you take 63 and put it over 100 and now you have a fraction. 63 and 100 don't have any numbers that can be multiplied into them so 63/100 is the final answer

in question 2, put 50 over 100 and you have 50/100 which 50 can obviously add up to 100 so the answer here is 1/2.

hope this helps!

Answer:

389 hours and 23 minutes

Step-by-step explanation:

16x24=384

384+=5=389

and 23 minutes

Answer:

(c) is the Correct answer of this

Step-by-step explanation:

First divide both sides by 2

then apply (a+b)^2 = a^2+b^2+2ab formula

solve quadratic equation

then apply discriminant formula

Hope you get it dear ☺️

The value of (f-g)(2) is 16, provided that Megan has made no mistakes in the calculation.

The problem asks us to compute the value of (f - g)(2) where f(x) = 3x^2 - 2x + 4 and g(x) = x^2 - 5x + 2.

The notation (f - g)(2) means that we need to subtract g(x) from f(x) and then evaluate the result at x = 2. We can do this as follows:

(f - g)(x) = f(x) - g(x) = (3x^2 - 2x + 4) - (x^2 - 5x + 2) = 2x^2 + 3x + 2

Substituting x = 2, we get:

(f - g)(2) = 2(2)^2 + 3(2) + 2 = 16

Therefore, the value of (f - g)(2) is 16.

It's worth noting that the problem statement mentions "what did she do wrong?" without providing any context or information about what Megan did or didn't do. So, it's not possible to identify any error in Megan's solution based on the given information. However, based on the correct computation above, we can be sure that (f - g)(2) is indeed equal to 16.

In other words, it can be described as,

The error in Megan's solution is not clear from the given statement. However, it seems that she may have made an error while computing (f-g)(2).

To compute (f-g)(2), we need to subtract g(2) from f(2) as follows:

f(2) = 3(2)^2 - 2(2) + 4 = 12

g(2) = (2)^2 - 5(2) + 2 = -4

Therefore, (f-g)(2) = f(2) - g(2) = 12 - (-4) = 16. is the final conclusion.

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Answer:

P(heads) = 1/2

There are 4 prime numbers less than 10: 2, 3, 5, 7.

P(prime number) = 4/10 = 2/5

1/2 × 2/5 = 1/5

The equation of the line passing through points (-1, 2) and (1, -1) is y = -1.5x + 0.5

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

The standard form of a linear equation is:

y = mx + b

Where m is the slope of the line and b is the y intercept

The line given passes through the point (-1, 2) and (1, -1). The equation is:

y - 2 = [(-1-2)/(1 - (-1)](x - (-1)]

y - 2 = -(3/2)(x + 1)

y = -(3/2)x - (3/2)

y = -1.5x + 0.5

The equation of the line is y = -1.5x + 0.5

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Answer:

38

Step-by-step explanation:

The rule of PEMDAS (parentheses, exponents, multiply, divide, addition, subtraction) must be followed when solving this equation.

1. Simplify the equation

m · 6 + 3 · 4 = 240

m · 6 + 12 = 240

2. Solve for m

- subtract 12 from both sides

m · 6 = 228

- divide both sides by 6

228 ÷ 6 = 38

m = 38

Answer:

38 is right

Step-by-step explanation

i just took the test

Answer:

number = 24

Step-by-step explanation:

3 x 8 = 24

24 / 3 = 8

=> 9x² - 24x + 16

Split the middle term(term with x) in such a manner so that the product of those parts is equal to the product of term with x² and constant. Here, those parts are 12 & 12 as 12*12 = 9*16.

=> 9x² - 24x + 16

=> 9x² - (12 + 12)x + 16

=> 9x² - 12x - 12x + 16

=> 3x(3x - 4) - 4(3x - 4)

=> (3x - 4)(3x - 4)

Method 2

=> 9x² - 24x + 16

=> (3x)² - 2(3x*4) + 4²

=> (3x - 4)²

=> (3x - 4)(3x - 4)

Method 3

In case if you can't find the factors of the middle term.

Say f(x) = 0, find the zeroes using quadratic formula. Zeroes of this eqⁿ are [-(-24) ± √24²-4(9)(16)] / 2(9) = 4/3 & 4/3

Therefore, f(x) = (x - 4/3)(x - 4/3) = (3x - 4)(3x - 4)/9

Ignore the numeric constant.

f(x) = (3x - 4)(3x - 4)

The total number of groups in the study of one way ANOVA with the given condition of variable and levels is four different groups and number of different factors in one-way ANOVA is equal to one.

In a one-way ANOVA with one independent variable with four levels, there are four different groups in the study.

Each group represents a level of the independent variable.

There is only one factor in a one-way ANOVA.

The factor is the independent variable with the four levels, which is used to classify the groups in the study.

The factor is what the researcher is interested in studying.

And the ANOVA is used to determine if there are any statistically significant differences in the mean scores between the groups.

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An expression is defined as a set of numbers, variables, and mathematical operations. The solution for (1/4)x=12 will be 48.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The correct solution for the expression (1/4)x=12 can be done as shown below,

(1/4)x = 12

x = 12×4

x = 48

Hence, the solution for the expression (1/4)x=12 will be 48.

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The angles that satisfy the trigonometric equation 4 · cos 2x + cos x - 3 = - 5 · cos x - 8 are described below:

In this problem we find a trigonometric equation involving both cos 2x and cos x, we need to simplify the expression such that only cos x is present. This can be done by means of trigonometric formulas. First, write the entire expression:

4 · cos 2x + cos x - 3 = - 5 · cos x - 8

Second, use trigonometric formulas to eliminate cos 2x:

4 · (2 · cos² x - 1) + cos x - 3 = - 5 · cos x - 8

8 · cos² x  - 4 + cos x - 3 = - 5 · cos x - 8

8 · cos² x + 6 · cos x + 1 = 0

Third, use the quadratic formula to find all possible roots:

cos x₁ ≈ - 1 / 4, cos x₂ ≈ - 1 / 2

Fourth, use inverse trigonometric functions to determine all possible angles between 0° and 360°:

Case 1: - 1 / 4

x₁₁ ≈ 104.5°, x₁₂ ≈ 255.5°

Case 2: - 1 / 2

x₂₁ = 120°, x₂₂ ≈ 240°

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Answer:

x³+7x²+14x+8

Step-by-step explanation:

distribute!

(x³+3x²+2x)+(4x²+12x+8)

add the similar values

x³+7x²+14x+8

Answer:

do math

Step-by-step explanation:

The sum of the sequence is 4.

To determine whether the sequence {an} = 4n / (5n + 1) converges or diverges, we can use the limit test.

Taking the limit as n approaches infinity, we have:

lim(n→∞) an = lim(n→∞) 4n / (5n + 1)

Dividing both numerator and denominator by n, we get:

= lim(n→∞) 4 / (5 + 1/n)

Since 1/n approaches zero as n approaches infinity, we have:

= 4/5

Therefore, the limit of the sequence as n approaches infinity exists and is equal to 4/5.

Since the limit exists, we can say that the sequence converges. To find the sum of the sequence, we can use the formula for the sum of an infinite geometric series:

S = a1 / (1 - r)

where a1 is the first term of the sequence and r is the common ratio.

In this case, we have:

a1 = 4/6

r = 5/6

Substituting these values into the formula, we get:

S = (4/6) / (1 - 5/6)

= (4/6) / (1/6)

= 4

Therefore, the sum of the sequence is 4.

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The surface area of the cylinder is approximately 401.92 square centimeters. To find the surface area of the cylinder, we need to add the area of the top and bottom circles to the area of the lateral surface.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

where r is the radius of the base, h is the height of the cylinder, and π ≈ 3.14.

Given that the radius is 8 cm and the height is also 8 cm, we can plug in the values in the formula:

SA = 2π(8²) + 2π(8)(8)

SA = 401.92

Rounding to the nearest hundredth, we get:

SA ≈ 401.92 square centimeters

Therefore, the surface area of the cylinder is approximately 401.92 square centimeters.

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