the frankiln middle school jazz band plans to have a car wash to raise $468.75 for a new sound system. in the past, they washed an average of 125 cars at each car wash. what should they change per car so they can reach their goals?​

When Omar does not have a common factor while factoring a polynomial, he should consider regrouping terms, factoring out a common factor, or adjusting signs to simplify the expression. The absence of a common factor does not necessarily mean the polynomial is prime.

If Omar noticed that he does not have a common factor when factoring a polynomial, there are a few possible next steps to consider. It is important to note that the absence of a common factor does not necessarily mean that the polynomial is prime.

One option for Omar is to go back and regroup the terms in step 1, as (3x³ – 15x²) – (4x + 20). By rearranging the terms, he may be able to identify a common factor or a different factorization approach.

Another possibility is for Omar to factor out a common factor from the first expression in step 2. He can examine the terms in the expression and determine if there is a factor that can be pulled out.

It is also worth considering whether Omar needs to factor out a negative from one of the groups so that the binomials become the same. This step can help simplify the expression and make the factoring process easier.

Overall, Omar should explore different factorization strategies, regroup terms if necessary, and look for common factors or patterns to continue factoring the polynomial. The absence of a common factor does not necessarily imply that the polynomial is prime.

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For a farmer interested in data-driven decision-making regarding effect of 3 fertilizers on the crop yield the hypothesis testing used to determine any potential difference in the yield between the three fertilizers is ANOVA test (Option C).

Hypothesis testing refers to the statistical inference method utilized to determine if the available data sufficiently supports a particular hypothesis. Hypothesis testing enables decision makes to establish probabilistic statements about population parameters. ANOVA test stands for Analysis of Variance and refers to a statistical test utilized to evaluate the difference between the means of more than two groups. A one-way ANOVA uses one independent variable and a two-way ANOVA uses two independent variables. As the farmers want to evaluate the difference between three fertilizers' effect on crop yield, the appropriate test is ANOVA test.

Note: The question is missing options which are a) Two sample t-tests. b) Paired t-test. c) ANOVA test. d) One sample t-test.

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Answer:-12 yards

Step-by-step explanation:7 yards - 19yards

you are at 0 after you subtract 7 and you still need to subtract 12 more and that is how you get -12 subtract 12 frome 0 and you get -12

7-19=-12

Answer:

946.4 cm

Step-by-step explanation:

Formula for finding the area of any polygon :

number of sides (n) x 0.5 x length of sides (s) x apothem (a)

Area = 8 x 0.5 x 14 x 16.9 = 946.4

hope this helps ! :)

The equation does not have a solution.

Option D is the correct answer.

We have,

To find the solution of the equation (15z + 6.8) = 5(4 + 0.7z) using the graph, we need to determine the x-value (or z-value in this case) where the two lines intersect.

Based on the given options, we can observe that the equation does not have a solution.

This can be determined by looking at the graph of the two equations.

If we graph the equations y = (15z + 6.8) and y = 5(4 + 0.7z),

We will see that the lines do not intersect.

This means there is no common value of z that satisfies both equations simultaneously.

Therefore,

The equation does not have a solution.

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Answer:

$18.75

Step-by-step explanation:

Let

y = Total cost

x = number of kilometers

The equation:

y = 3.75 + 1.50x

If x = 10 km

y = 3.75 + 1.50(10)

= 3.75 + 15

= 18.75

y = $18.75

y = Total cost = $18.75

The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.

In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.

The Central Limit Theorem establishes that for a proportion p in a sample of size n:

The expected value is μ=р

The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)

In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.

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Answer:

d. square root of 20 miles

Step-by-step explanation:

It formed a triangle, 2 miles for one length, and 4 miles for the another one. You use pythagorean theorem to solve it by:

√(2^2 + 4^2)

= √(4 + 16)

= √20

Answer:

A.

Step-by-step explanation:

The slope of the line parallel to the original line is the same. And you don't add x after the slope.

The fourth-order Taylor Series approximation of y = cos x + sin x at x = 0.1 is approximately 1.0941625, and the percent relative error is approximately 0.06185%.

To find the fourth-order Taylor Series approximation of a function y = f(x) at x = xo, we need the function value and its derivatives up to the fourth order at xo. In this case, we have:

f(x) = cos x + sin x

To compute the Taylor Series approximation at x = 0.1 (xo = 0), we need to evaluate the function and its derivatives at xo = 0:

f(0) = cos 0 + sin 0 = 1 + 0 = 1

f'(0) = -sin 0 + cos 0 = 0 + 1 = 1

f''(0) = -cos 0 - sin 0 = -1 - 0 = -1

f'''(0) = sin 0 - cos 0 = 0 - 1 = -1

f''''(0) = cos 0 + sin 0 = 1 + 0 = 1

The fourth-order Taylor Series approximation of y = cos x + sin x at x = 0.1 is given by:

y ≈ f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + (f''''(0)/4!)x⁴

Substituting the values we obtained earlier, we have:

y ≈ 1 + 1(0.1) + (-1/2!)(0.1)² + (-1/3!)(0.1)³ + (1/4!)(0.1)⁴

y ≈ 1 + 0.1 - 0.005 + 0.000166667 - 0.00000416667

y ≈ 1.0941625

To compute the percent relative error, we need the exact value of y at x = 0.1. Evaluating y = cos x + sin x at x = 0.1:

y = cos(0.1) + sin(0.1) ≈ 0.995004 + 0.0998334 ≈ 1.0948374

The percent relative error is given by:

Percent Relative Error = (|Approximate Value - Exact Value| / |Exact Value|) * 100

Percent Relative Error = (|1.0941625 - 1.0948374| / |1.0948374|) * 100

Percent Relative Error ≈ 0.06185%

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Answer:

I think it’s (4,1)

So, the correct simplification for the expression (3x^3 y^4 z^4) (2x^3 y^4 z^2) is option d: 6x^6 y^8 z^6.

What is simplification?

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

The given equation is -

(3x^3 y^4 z^4) (2x^3 y^4 z^2)

On simplification -

=[3·2(x^3+3)(y^4+4)(z^4+2)]

=6x^6y^8z^6

Therefore, the value obtained is 6x^6y^8z^6.

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Explanation

8 x 5 means 8 in 5 places

Answer: 40

The Answer is D

I REALLY hope this helps :D

It is the graph of f(x) translated 3 units down.

Answer:

D

Step-by-step explanation:

Because f(x) translated 3 down

Answer:

the first answer option

Step-by-step explanation:

|x + 4| = 2

so,

(x + 4) must be +2 or -2 to make the original equation true.

when is (x + 4) = 2 ?

x + 4 = 2

x = -2

when is (x + 4) = -2 ?

x + 4 = -2

x = -6

so, -6 and -2 are the correct solutions.

The values of x are -2 and -6 respectively, the points -2, -6 should be marked in the line diagram.

The correct option is (1).

Equation: A declaration that two expressions with variables or integers are equal.

As per the given data:

We have to find out the correct representation of the line diagram for the equation:

| x + 4 | = 2

Whenever a modulus is opened, it can result in a positive and a negative value.

Using the above definition of the modulus to find out the result.

| x + 4 | = 2

x + 4 = ±2

x can have 2 values.

First, taking the positive value.

x + 4 = 2

x = 2 - 4

x = -2

Taking the negative value.

x + 4 = -2

x = -2 - 4

x = -6

The values of x are -2 and -6 respectively, the points -2, -6 should be marked in the line diagram.

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The given vertices are A(1,4), B(3,-2), and C(4,2).

The reflection over the x-axis is expressed as

This means we have to multiple each y-coordinate with -1. Let's do it!

The pet store owner made a multiplication error.

The payment should be $48 per month.

An equal periodic payment can be calculated using the following formula:

P = T / N ............................................. (1)

Where, from the question:

P = periodic payment or the amount required to be paid periodically = ?

T = Total amount payable or the amount Samuel bought the snake = $288

N = Number of periods = 6

Substituting all the relevant values into equation (1), we have:

P = $288 / 6

P = $48

The P = $48 implies that $48 has to be multiplied by 6 to obtain $288.

Therefore, the pet store owner made a multiplication error.

The payment should be $48 per month.

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Answer:

55 degrees

Step-by-step explanation:

Angle ACE and BDE are congruent so segments AC and BD are parallel.  That makes angles CAE and DBE congruent.

6x - 15 = 5x - 1

x - 15 = -1

x = 14

So, the measure of angle BDE = 4x = 56 degrees.  The measure of angle DBE = 5x - 1 = 69 degrees.

The total of all angles in triangle BDE is 180 degrees, so the measure of angle E = 180 - 56 - 69 = 55

Answer:

11 ?

Step-by-step explanation:

2(5+4)-7

10+8-7

18-7 =11

Answer:

slope is -1/4 and y intercept is -1.5

Step-by-step explanation:

slope- rise/run (simplify if needed)

The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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Answer:

\(\displaystyle{P(x)=x^3-x^2}\)

Step-by-step explanation:

Given the zeros of 0, 0, 1. We can write the polynomial in form of x-intersects:

\(\displaystyle{P(x) = (x-x_1)(x-x_2)(x-x_3)}\)

Hence:

\(\displaystyle{P(x)=(x-0)(x-0)(x-1)}\)

Which can be simplified to:

\(\displaystyle{P(x)=x\cdot x \cdot (x-1)}\\\\\displaystyle{P(x)=x^2(x-1)}\)

Convert to the standard form by distributing x²:

\(\displaystyle{P(x)=x^2\cdot x - x^2 \cdot 1}\\\\\displaystyle{P(x)=x^3-x^2}\)

Answer:

During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points

Step-by-step explanation:

Answer:

11 points

Step-by-step explanation:

Range = Highest value - lowest value

Highest value = 24

Lowest value = 13

Range = 24 - 13

Range = 11

Answer:

Loading,please wait...

Step-by-step explanation:

w = 3(2a + b) - 4

First, add 4 to both sides:

w (+4) = 3(2a + b) - 4 (+4)

w + 4 = 3(2a + b)

Next, divide 3 from both sides:

(w + 4)/3 = (3(2a + b))/3

(w + 4)/3 = 2a + b

Next, subtract b from both sides:

((w + 4)/3) - b = 2a + b (-b)

(w + 4)/3 - b = 2a

Finally, divide 2 from both sides:

((w + 4)/3 - b)/2 = (2a)/2

a = (((w + 4)/3) - b)/2

a = (((w + 4)/3) - b)/2 is your answer.

~

Answer:

\(\frac{w}{6} +\frac{2}{3} -\frac{3b}{6}\)=a

Step-by-step explanation:

w=3(2a+b)-4 ---> add 4 to both sides

w+4=3(2a+b) --> distribute the 3

w+4= 6a+3b--> subtract 3b from both sides

w+4-3b=6a ---> to isolate the a divide both sides by 6

\(\frac{w}{6} +\frac{2}{3} -\frac{3b}{6}\)= a ---> I hope this was what you were looking for

Step-by-step explanation:

12:18

12 to 18

12/18 = 2/3

Answer:

$49.72

Step-by-step explanation

14.50x15=217.5

217.5/3=72.5

72.5-22.78=49.72

14.50 (Cost per hour)

X 15 (Hours they work)

----------

217.5 (pay per day)

217.5 ÷ 3 (amount of people) = 72.5

Sally Sarah and Sam earn $72.5

72.5 - 22.78 (cost for shoes) = 49.72

Sarah will have 48.72 left

The answer is 21. The given equations are: 11x = 25 + 4 and Px = 33.05 Find Rx = 0.01. Using the first equation 11x = 25 + 4Solving it we get,x = (25 + 4)/11= 29/11 Putting the value of x in Px = 33.05,P(29/11) = 33.05 Now, from the Gaussian distribution formula:    P(x) = (1/σ(2π))e^(-{(x-μ)²/(2σ²)})     Here, P(29/11) = (1/σ(2π))e^(-{(29/11-μ)²/(2σ²)})= 33.05

But we do not have the value of μ and σ to solve the given equation. Hence, we cannot find the value of P(x = 31) for a normal distribution.   Finding P(X = 3), if X ~ Poisson(λ)3 = 2λ or λ = 3/2. Hence, P(X = 3) = (3/2)³ e^(-3/2)/3! = 27e^(-3/2)/8 or approximately 0.224.Let A = 1 or 0. We need to find P(A = K) + 6 Using the formula of Conditional probability P(A = K) = P(A = K|X = 0)P(X = 0) + P(A = K|X = 1)P(X = 1)

Adding the given values, we get:3/5 = 2/5 P(A = K|X = 0) + 1/5 P(A = K|X = 1) On solving, we get: P(A = K|X = 0) = 3/2, and P(A = K|X = 1) = 1/3P(A = K) = (3/2) (2/5) + (1/3) (1/5)= 7/15P(A = K) + 6 = 7/15 + 6= 49/15 Solving the equation 5(x+3) = 120 gives x = 21. Therefore, the answer is 21.

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The homogeneity of variance assumption in the independent measures t-test assumes that option (c) the variances of the two populations from which the samples are drawn are equal.

In mathematical terms, the t-test assumes that the two populations from which the samples are drawn have equal variances. The homogeneity of variance assumption is important because it affects the calculation of the t-statistic.

When the variances of the two populations are equal, the t-test uses a pooled estimate of the variance to calculate the standard error of the difference between the two sample means.

If the homogeneity of variance assumption is violated, meaning the variances of the two populations are not equal, the t-test may produce inaccurate results.

In this case, an alternative test such as Welch's t-test may be used. Welch's t-test does not assume equal variances and is therefore more robust when the homogeneity of variance assumption is violated.

Therefore, the right choice is option (c).

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The cone should have its maximum volume. V=1/*3r2h is the formula for calculating the volume V of a cone with height h and radius r.

The cone has a volume of

V=πr2h/3

Therefore, we must calculate the values of r and h in terms of R. R is the diameter of the cone's top-circular circle, and h is the cone's height.

R is the cone's slant height, and it serves as the hypotenuse of a right triangle.

R2 = h2 + r2, or r2 = R2-h2.

So V = (1/3)π

[R2-h2]

h = (π/3)[R2h-h3]

You must take the derivative of the cone's volume, set it to zero, then solve for h to determine the cone's maximum volume.

dV/dh=(π/3)[R2-3h2]

R2-3h2=0 --> h2=R2/3 -> h = R/√3

Now we can determine r:

r2=R2-R2/3 = (2/3)R2

The volume formula with r and h substituted:

V = (π/3)

r2h = (π/3)(2R2/3)

(R/√3)

V(R)=2πR3/(9√3)

The complete question is:

A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup (Your answer may depend on R).

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