How do you know which method to use when you are solving a quadratic?

Answer:

n = 0.0164321

Answer:

1051.6×10n

Step-by-step explanation:

Answer:

23% chance

Step-by-step explanation:

There are a total of 26 students in the class, and 6 of them play basketball and 15 of them play baseball. This means that there are 6 + 15 - 9 = 12 students who play either basketball or baseball, and 9 students who play neither.

Of the 12 students who play either basketball or baseball, 6 of them play basketball and 15 of them play baseball, so there are 6 students who play both basketball and baseball. This means that the probability that a student chosen randomly from the class plays both sports is 6 / 26 = 0.23, or 23%.

Answer:

Mario would like to ride Hurricane coaster.

Gravity coaster travels at a unit rate of 34 m/s.

Step-by-step explanation:

Distance traveled by Gravity coaster = 340 meters

Time taken by Gravity coaster = 10 seconds

Distance traveled by Hurricane coaster = 190 meters

Time taken by Hurricane coaster = 5 seconds

Unit rate is nothing but the distance traveled by each coaster in unit time.

To find the unit rate, we can use the following formula:

\(Speed = \dfrac{Distance}{Time}\)

Unit rate or speed of Gravity coaster = \(\frac{340\ m}{10\ s} = 34\ m/s\)

Unit rate or speed of Hurricane coaster = \(\frac{190\ m}{5\ s} = 38\ m/s\)

So, the faster coaster is the Hurricane coaster.

Mario would like to ride Hurricane coaster.

Gravity coaster travels at 34 m/s.

Answer:

8.075 original, rounded 8.01

Step-by-step explanation:

8.5%=0.085 x 95 = 8.075 or 8.01 rounded

Jesse takes two data points, then the slope of a line between these two points = 0.129

Given that,

Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. a hamster weighs half a pound and costs $2 per week to feed,

While a labrador retriever weighs 62.5 pounds

Costs $10 per week to feed.

The slope is described because the ratio of the vertical extrade among points, the rise, to the horizontal extrade among the equal  points, the run. . A slope with a extra absolute price shows a steeper line. The course of a line is both increasing, decreasing, horizontal or vertical. If a line is horizontal the slope is zero.

Let \(x_{1}\) = 0.5 pounds, \(y_{1}\) = $2 and

\(x_{2}\) = 62.5 pounds, \(y_{2}\) = $10

ΔX = \(x_{2} -x_{1}\)

ΔX = 62.5 - 0.5

ΔX = 62

ΔY = \(y_{2}\) -   \(y_{1}\)

ΔY = 10 - 2

ΔY = 8

So,

We can write,

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

m = rise / run

Slope (m) = ΔY / ΔX

m = \(\frac{8}{62}\)

m = 0.129

Therefore,

Jesse takes two data points, then the slope of a line between these two points = 0.129

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Data is sampled from a population for scores that has an original σ=5 points and the error expected from samples with the following sizes are: a. n=4, SE = 2.5  b. n=9, SE = 1.67   c. n=16, SE = 1.25.

The formula for estimating the error or the standard error of the sample is given as: SE=σ/√n. Where σ is the population standard deviation, n is the sample size and SE is the standard error.

Now, using the given formula, let's calculate the standard errors for the given sample sizes:

a. For n=4SE=σ/√n=5/√4=2.5

b. For n=9SE=σ/√n=5/√9=1.6666≈1.67

c. For n=16SE=σ/√n=5/√16=1.25

Thus, the standard errors for sample sizes of n=4, n=9, and n=16 are 2.5, 1.67, and 1.25 respectively.

The error is expected to decrease as the sample size increases.

Data is sampled from a population for scores that has an original σ=5 points and the error expected from samples with the following sizes are:

a. n=4, SE = 2.5

b. n=9, SE = 1.67

c. n=16, SE = 1.25.

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An inequality that expresses the interval of values that n may have is (B) \((5 < n < 17)\)

The sides of a triangle are 5, 12, and n.

To write an inequality that expresses the interval of values that n may have, we use the Triangle Inequality Theorem.

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So for this question, the inequality that expresses the interval of values that n may have is given as:\(5 + 12 > n12 + n > 5n + 5 > 12\)

Simplifying the above inequality: \(n > -7n > 7\)

The interval for n will be \([7,∞)\), where n has to be greater than 7.

Option D \((7 < n < 12\)) is not the correct answer.

Hence, the correct answer is option B\((5 < n < 17).\)

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Answer:

P = 5.2

Step-by-step explanation:

5q = 5 x 2

= 10

r - 5q =

25.6 - 10

= 15.6

3p = 15.6/3

P = 5.2

Answer:

4 pieces

Step-by-step explanation:

To perform the calculation, it's easier for both values to have the same denominator.

2/3 yards is the same as 4/6 yards.

Now we have two values with the same denominator: 4/6 and 1/6.

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

Answer:

\(\boxed{\frac{9}{25} }\)

Step-by-step explanation:

\(9 \div 10 \times 8 \div 20\)

\(\frac{\frac{9}{10}(8) }{20}\)

\(= \frac{\frac{35}{5} }{20}\)

\(= \frac{9}{25}\)

Hope this helped you!

● Answer:

9/25

● Step-by-step explanation:

Attachment

The length of the hypotenuse is 11.31 cm

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

A right, isosceles triangle has its legs to be 8cm

Represen the length of the hypotenuse of the isosceles right triangle  with x

Using the above definition as a guide, we have the following:

x = Leg√2

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

x = 8 * √2

This gives

x = 11.31

HEnce, the hypotenuse is 11.31 cm

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The correct answer is (4x^3 - 8x^2 )

Solve by using Foil's Method

Multiply (x - 3)(4x^2)

Begin, by multiplying together, the first terms of binomial

= x * 4x^2 = 4x^3

Now, multiply the last term of binomial.

= -3 * 4x^2 = -12x^2

Sum up the partial products starting from the first to last product from the first to last product and collect it:

=(4x^3 - 8x^2 )

Now, Let us know

What is Foil's Method ?

FOIL a mathematical series of steps used to multiply two binomials.

By definition we have the meaning of FOIL is given by:

F: First

O: Outer

I: Inner

L: Last

Binomial is simply an expression that consist of two variables or terms separated by either the addition sign (+) or subtraction (-).

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Answer:

Step-by-step explanation:

this ia my answer pag pinagsama lahat ng sina

Answer:

googl it

Step-by-step explanation:

its on googl and it has the anwser

The Answer:the answer is D

Step-by-step explanation:

Answer:

C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.

Step-by-step explanation:

An outlier is a data point that sticks out like a sore thumb. It's so different from the rest of the data that it makes you wonder if it's a mistake or a miracle. One way to spot an outlier is to use the 1.5IQR rule, where IQR stands for interquartile range. The interquartile range is the gap between the third quartile (Q3) and the first quartile (Q1) of the data. The 1.5IQR rule says that any data point that is more than 1.5*IQR above Q3 or below Q1 is an outlier.

In this case, the first quartile (Q1) is 75, the third quartile (Q3) is 85, and the interquartile range (IQR) is 10. So, any data point that is more than 1.5*10 = 15 above 85 or below 75 is an outlier. The only data point that does this is 110, which is 25 above 85. That means 110 is an outlier.

What does this outlier mean in this situation? It means that one person who came to the senior center that afternoon was way older than the rest of the folks. The average age of the visitors was not changed by this outlier, since it was just one out of 12 data points. But, the outlier does mess up the range and the standard deviation of the data, making them bigger than they would be without the outlier.

Answer:The answer is C

Step-by-step explanation:I did the test.

Answer:

Use Mathpapa to find using formula:

55^2+19^2=c^2

Step-by-step explanation:

I can't straightforward give you answers; it'll ruin your chances of going to university! Hopefully you learned the concept.

Answer:

The sequence can be continued by adding 7 to each number.

Step-by-step explanation:

15 + 7 = 22

22 + 7 = 29

29 + 7 = 36

36 + 7 =...... 43 would be your next number

The half-range cosine expansion of f(x) = sin(x), for 0 < x < π, simplifies to f(x) = (2/π).

To find the half-range cosine expansion of the function f(x) = sin(x) for 0 < x < π, we can utilize the half-range Fourier series expansion. The half-range expansion represents the function as a sum of cosine terms.

The half-range Fourier series expansion of f(x) can be expressed as:

f(x) = a₀/2 + ∑[n=1 to ∞] (aₙ * cos(nx))

To find the coefficients a₀ and aₙ, we can use the following formulas:

a₀ = (2/π) ∫[0 to π] f(x) dx

aₙ = (2/π) ∫[0 to π] f(x) * cos(nx) dx

Let's calculate the coefficients:

a₀ = (2/π) ∫[0 to π] sin(x) dx

= (2/π) [-cos(x)] [0 to π]

= (2/π) [-cos(π) + cos(0)]

= (2/π) [1 + 1]

= 4/π

For aₙ, we have:

aₙ = (2/π) ∫[0 to π] sin(x) * cos(nx) dx

= 0 [since the integrand is an odd function integrated over a symmetric interval]

Now, we can rewrite the half-range cosine expansion of f(x):

f(x) = (4/π) * (1/2) + ∑[n=1 to ∞] (0 * cos(nx))

= (2/π) + 0

Therefore, the half-range cosine expansion of f(x) = sin(x), for 0 < x < π, simplifies to:

f(x) = (2/π)

In this expansion, all the cosine terms have coefficients of zero, and the function is represented solely by the constant term (2/π).

It's worth noting that the half-range cosine expansion is valid for the given interval (0 < x < π), and outside this interval, the function would need to be extended or expressed differently.

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Answer:

33.8 ÷ 4 = 8.45

4 ÷ 33.8 = 0.118343195266

Step-by-step explanation:

Answer:

I think it's A and C

Step-by-step explanation:

I could be wrong though

Answer:

c

Step-by-step explanation:

if not sorry

Im sorry but theres no picture or nothing I can work with!

The angle that is coterminal to 425° is the last one:

B = 425° + n*1,440°

By definition, for any angle A, we can say that an angle B is coterminal to A if:

B = A + n*360°

where n can be any integer.

So, from the given options, we need to see which one is a multiple of 360°.

Of the given options, the only that meets this condition is the last one:

B = 425° + n*1,440°

Where:

1,440°/360° = 4

Then we conclude that:

425° + n*1,440° is coterminal to 425°.

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The probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

We can use the central limit theorem to approximate the distribution of the sample mean. According to the central limit theorem, if the sample size is sufficiently large, the distribution of the sample mean will be approximately normal with a mean of 30,641 and a standard deviation of sqrt(variance/sample size).

So, we have:

mean = 30,641

variance = 14,561,860

sample size = 242

standard deviation = sqrt(variance/sample size) = sqrt(14,561,860/242) = 635.14

Now, we need to calculate the z-score corresponding to a sample mean of 31,358 miles:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

= (31,358 - 30,641) / (635.14 / sqrt(242))

= 2.43

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than 2.43. The probability is approximately 0.9925.

Therefore, the probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

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Answer: y=6

Step-by-step explanation:

Answer:

median = 9.5

range = 11

Step-by-step explanation:

mean = (sum of numbers)/(number of numbers)

(18 - x + x - 3 + x + x/2 + 5 + 4x - 10 + 2x - 1)/6 = 9

9 + 7x + x/2 = 54

7x + x/2 = 45

14x + x = 90

15x = 90

x = 6

Now we can write the 6 numbers.

12, 3, 6, 8, 14, 11

We write the numbers is increasing order.

3, 6, 8, 11, 12, 14

The median is the mean of the 2 middle numbers.

median = (8 + 11)/2 = 19/2 = 9.5

The range is the difference between the larges and smallest of the numbers.

range = 14 - 3 = 11

For Felipe and Helena's final grades, the solution is option C, [74 71].

Using the given values for Q, T, and P weights and Felipe and Helena's grades, calculate their final grades as follows:

Felipe's final grade:

0.40 x 80 + 0.50 x 60 + 0.10 x 90 = 32 + 30 + 9 = 71

Helena's final grade:

0.40 x 70 + 0.50 x 80 + 0.10 x 60 = 28 + 40 + 6 = 74

To represent the final grades for Felipe and Helena in a matrix F, given formula F = WG, where W = matrix of weights and G = matrix of grades:

[0.40 0.50 0.10]   [80 70]

F = WG = [0.40 0.50 0.10] x [60 80]

[0.40 0.50 0.10] [90 60]

Performing matrix multiplication:

[32 + 30 + 9  28 + 40 + 6]

F = WG = [32 + 40 + 6 28 + 40 + 3]

[36 + 25 + 6 36 + 20 + 3]

Simplifying:

[71 74]

F = WG = [78 71]

[67 59]

Therefore, [74 71] for Felipe and Helena's final grades, respectively.

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Answer:

y = x

Step-by-step explanation:

So what we're going to want to do here is use the slope formula and the general equation y = mx + b.

Let's start.

The slope formula is y2-y1/x2-x1. So, put our points in here. 4-0/4-0. Slope: 1.

Okay, we have that. Now, a line that passes through the origin (0,0) is not going to have a y-intercept because it hits the y-axis at 0. So, that cancels out the b.

With our slope 1, the answer is just y = x. Very simple equation.

Hope this helped!