plzz help asap rewrite the equation to the form ax^2+bx+c=0: x^2+(1-x)(1-3x)=x

Answer:

b=7

Step-by-step explanation:

Plug 3 into a since a=3.

2(3)+b=13

Then solve for 2(3)

6+b=13

Now isolate the b, so move the 6 to the other side. (Basically subtract 6 from both sides)

b=13-6

b=7

Answer:

1409.724683544

Step-by-step explanation:

You could have just used a calculator lol

The probability that exactly seven of them order sugar cones is 0.27.

Since in this question, we have a fixed number of trials (ten customers) and each trial has only two possible outcomes (sugar cone or not sugar cone), we can solve this question using the binomial distribution.

According to the question the probability of ordering a sugar cone is 0.7 and not ordering is 0.3

The probability mass function for the binomial distribution is:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where n is the number of trials, k is the number of successes(ordering sugar cone), and p is the probability of success.

So, using this formula we get,

P(X=7) = (10 choose 7) * 0.7^7 * 0.3^3 = 0.2668 ≈0.27

Therefore, the probability that exactly seven of the next ten customers will order sugar cones is 0.27.

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Answer:

(7,3)

Step-by-step explanation:

difference between 3,-8 and 5, -2.5 is 2x and 5.5y.

so, add those to (5,-2.5) and you get (7,3)

Answer:

I dont get your question

Answer:

(x,y) --> (x + 1, y - 4)

Step-by-step explanation

The figure is translated right 1 and down 4

(not completly sure but did not want to leave you hanging)

The answer of the given question is positive linear relationship.

If the value of the sample covariance between the two random variables x and y equals 14.67, then we can conclude that x and y have a positive linear relationship.

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If the value of the sample covariance between the two random variables x and y equals 14.67, we can conclude that x and y have a positive linear relationship or association

Covariance measures the direction and strength of the relationship between two variables. A positive covariance indicates that as the values of x increase, the values of y tend to increase as well, and vice versa. In other words, there is a tendency for the variables to move in the same direction.

However, the value of covariance alone does not provide information about the strength or the exact nature of the relationship. To determine the strength and statistical significance of the relationship, additional analysis, such as calculating the correlation coefficient or performing hypothesis tests, may be necessary.

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The expression is a polynomial, it is a binomial of degree 6.

We want to see if the given expression:

-5s⁴t² - 8t⁴

We know that as long as the exponents are positive whole numbers, then it will be a polynomial.

It is a bynomial, because it has two terms.

Now to identify the degree we need to find the maximum exponent in a single term.

If you look at the first term we have 2 exponents, the sum of these expoents will be teh degree, then we will get:

degree = 4 + 2 = 6

degree = 6

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Answer:

No.

Step-by-step explanation:

Pythagorean Thereom is a square plus b square = c square

25 + 64 is not equal to 289.

Using the pythagorean theorem we have :

\(a^{2} + b^{2} = c^{2}\) (assuming a < b < c)

Replace the number, we have :

\(5^{2} + 8^{2} = 17^{2}\)
\(25 + 64 = 289\) (not true)

So, this triplet is not available for the pythagorean.

Answer:

Step-by-step explanation:

9c+63

You multiply the nine to every number in the parentheses

Answer:

Step-by-step explanation:

here we have the expression 9(3+c+4) which is the same as 9(c+7) using the Distributive Property we get 9c+63 becasue a(b+c) is the same as ab+ac.

The inequality that represents the cost, c, that Mr. Daniels can spend on the class trip is; c < 300

We are told that;

Mr. Daniels is organizing a class trip.

Mr. Daniels wants to spend less than $300

Thus, if the cost that Mr. Daniels can spend on the class trip is given as c, then it means that c has to be less than the amount which he wants to spend which is $300.

Thus, since c has to be less than $300, then it means that the inequality to be used would be a less than sign which can be expressed as;

c < 300

Thus, we conclude that it is the required inequality.

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Answer:

\(5x= 15\)

Step-by-step explanation:

Given

\(3x - 5 = -2x +10\)

Required

Write the variables and constants on different sides

\(3x - 5 = -2x +10\)

Add 2x to both sides

\(2x + 3x - 5 =2x -2x +10\)

\(5x - 5 =10\)

Add 5 to both sides

\(5x - 5 + 5 = 10 + 5\)

\(5x= 10 + 5\)

\(5x= 15\)

Hence, the equation is

\(5x= 15\)

Solving further [divide both sides by 5]

\(x = 3\)

I think it is -5=x

Step-by-step explanation:

The scaling assumptions underlying a question determine which descriptive measure is appropriate.

The descriptive degree can be defined as the sort of measure handling the quantitative information in a mass that famous certain preferred characteristics. The descriptive measure has different types, all depending on the one-of-a-kind characteristics of the statistics. One very critical degree is the correlation coefficient, now and again referred to as Pearson's r. The correlation coefficient measures the diploma of linear association between two variables.

A statistic is a numerical descriptive degree computed from sample information. A parameter is a numerical descriptive measure of a populace. Descriptive facts encompass measures of the count, together with; frequencies and chances, measures of vital tendency including; imply, median, and mode, measures of variability including; trendy deviation, variance, and kurtosis, and measures of role, along with; percentiles and quartiles.

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Answer:

y = mx + b

Step-by-step explanation:

Answer: = 3 acres per day

Showing Work

This is a fraction equal to

3 acres ÷ 1 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

3 acres ÷ 1

__________

1 days ÷ 1

=

3 acres

_____

1 day

=

3 acres

______

day

= 3 acres per day

Answer:

I think it is  22 but I might be wrong.

Step-by-step explanation:

Answer: 0.55

Step-by-step explanation:

Answer:

10 units.

Step-by-step explanation:

In order to solve this, we first need to know the distance of the points by using rise and run. Then we will be able to find the hypotenuse. This is pretty much gonna make a triangle.

Run = 6

Rise = 8

We can use Pythagorean Theorem to solve for the hypotenuse since this forms a right triangle.

6² + 8² = c²

36 + 64 = c²

100 = c²

10 = c

Therefore, the distance between the two points is 10 units.

Answer:

10

Step-by-step explanation:

\(8^{2}\) + \(6^{2}\) = \(\sqrt{100}\) = 10

The probability that the service center will receive more than 4 calls in a 1-minute period is 0.2061. The probability that the first call is received between 8:01 and 8:02 am is approximately 0.2381.

(a) Let X be the number of calls in a 1-minute period. Then, X ~ Poisson(2). We need to find P(X > 4). Using the Poisson probability formula:

P(X > 4) = 1 - P(X ≤ 4) = 1 - ∑(k=0 to 4) e^(-2) * 2^k / k!

Calculating the sum, we get:

P(X > 4) = 1 - (e^(-2)*2^0/0! + e^(-2)*2^1/1! + e^(-2)*2^2/2! + e^(-2)*2^3/3! + e^(-2)*2^4/4!)

= 1 - (0.4060 + 0.2707 + 0.0902 + 0.0225 + 0.0045)

= 0.2061

Therefore, the probability that the service center will receive more than 4 calls in a 1-minute period is 0.2061.

(b) Let Y be the time (in minutes) between the opening of the center and the first call received. Then, Y ~ Exponential(2). We need to find P(1 < Y ≤ 2). Using the Exponential probability formula:

P(1 < Y ≤ 2) = ∫(1 to 2) 2e^(-2y) dy

Evaluating the integral, we get:

P(1 < Y ≤ 2) = e^(-2) - e^(-4) ≈ 0.2381

Therefore, the probability that the first call is received between 8:01 and 8:02 am is approximately 0.2381.

(c) Let X be the number of calls in a 1-minute period. We want to find the number of calls that is too many, such that if the center receives that many calls, the supervisor will reject the hypothesis of 2 calls per minute, on average, at a significance level of 0.05. This is equivalent to finding the critical value of X for a Poisson distribution with λ = 2 and a right-tailed test with α = 0.05. Using a Poisson distribution table or a calculator, we find that the critical value is 5.

Therefore, if the center receives 6 or more calls in a 1-minute period, the supervisor will reject the hypothesis of 2 calls per minute, on average, at a significance level of 0.05.

(d) Let X be the number of calls in a 1-minute period. We want to find P(2 out of 3 calls are complaints). Since each call is a complaint with probability 0.2 and a request for assistance with probability 0.8, the distribution of X is a Binomial(3, 0.2). Therefore:

P(2 out of 3 calls are complaints) = P(X = 2) = (3 choose 2) * 0.2^2 * 0.8^1 = 0.096

Therefore, the probability that exactly 2 out of 3 calls are complaints is 0.096.

(e) Let X be the total number of calls in a 5-minute period, and let Y be the number of complaints in a 5-minute period. Then, X ~ Poisson(10) and Y ~ Binomial(25, 0.2), since there are 25 independent 1-minute periods in a 5-minute period, and each call is a complaint with probability 0.2.

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Answer:

  C, circle

Step-by-step explanation:

You want to find the point on the graph that has coordinates (6.3, 9.2) and the symbol for Species 1.

The horizontal axis is labeled "Length (cm)", so the desired point will have a horizontal coordinate of 6.3. The minor grid lines have a spacing of (1 cm)/5 = 0.2 cm. This means the desired point will be located 0.3/0.2 = 1.5 minor grid lines to the right of the one marked 6 cm. Points A and C are in that location.

The vertical axis is labeled "Wingspan (cm)", so the desired point will have a vertical coordinate of 9.2. The minor grid lines have a spacing of (1 cm)/5 = 0.2 cm, so the desired point will be 0.2/0.2 = 1 minor grid line above the one marked 9 cm. Point C is in that location.

The last point will be plotted at location C.

The last point in the table has a "Species" of "1", so will be plotted with a dotted circle.

<95141404393>

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Given that

The point is (-2, 4) and the slope is 3.

And we have to find the point-slope equation for this data.

Explanation -

First, we will write the formula to find the point-slope equation and then we will substitute the values to find the required equation.

The general point-slope equation is given as

We have slope, m = 3 and point (x1, y1) = (-2, 4)

Hence the required equation is

So the correct option is B.

Final answer -

Answer:

89 - 28v10 = 0.456

Step-by-step explanation:

(7-2v10)² = 7² - 2*7*2v10 + (2v10)²

(7-2v10)² = 49 -28v10 + 40

(7-2v10)² = 89 - 28v10

The derivative of a function represents the rate of change of the function with respect to its variable. This rate of change is described as the slope of the tangent line to the curve of the function at a specific point. The derivative of the cosine function can be found by applying the limit definition of the derivative to the cosine function.

\(f(x) = cos(x) then f'(x) = -sin(x)\).

Let's proceed with the proof.  Definition of the Derivative: The derivative of a function f(x) at x is defined as the limit as h approaches zero of the difference quotient \(f(x + h) - f(x) / h\) if this limit exists. Using this definition, we can find the derivative of the cosine function as follows:

\(f(x) = cos(x) f(x + h) = cos(x + h)\)

Now, we can substitute these expressions into the difference quotient: \(f'(x) = lim h→0 [cos(x + h) - cos(x)] / h\)

We can then simplify the expression by using the trigonometric identity for the difference of two angles:

\(cos(a - b) = cos(a)cos(b) + sin(a)sin(b)\)

Applying this identity to the numerator of the difference quotient, we obtain:

\(f'(x) = lim h→0 [cos(x)cos(h) - sin(x)sin(h) - cos(x)] / h\)

We can then factor out a cos(x) term from the numerator:

\(f'(x) = lim h→0 [cos(x)(cos(h) - 1) - sin(x)sin(h)] / h\)

We can then apply the limit laws to separate the limit into two limits:

\(f'(x) = lim h→0 cos(x) [lim h→0 (cos(h) - 1) / h] - lim h→0 sin(x) [lim h→0 sin(h) / h]\)

The first limit can be evaluated using L'Hopital's rule:

\(lim h→0 (cos(h) - 1) / h = lim h→0 -sin(h) / 1 = 0\)

Therefore, the first limit becomes zero:

\(f'(x) = lim h→0 - sin(x) [lim h→0 sin(h) / h]\)

Applying L'Hopital's rule to the second limit, we obtain:

\(lim h→0 sin(h) / h = lim h→0 cos(h) / 1 = 1\)

Therefore, the second limit becomes 1:

\(f'(x) = -sin(x)\)

Thus, we have proved that if \(f(x) = cos(x), then f'(x) = -sin(x)\).

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An equation for the function g(x) when g(x) = f(-x) is g(x) = -x/3 - 6, which is shown in the graph attached below.

In Mathematics, a reflection can be defined as a type of transformation which moves every point of the geometric figure by producing a flipped, but mirror image of the geometric figure.

In Geometry, a reflection across the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By reflecting the given function across the across the y-axis (y = x), we have the following:

f(x) = x/3 - 6

g(x) = f(-x)

g(x) = -x/3 - 6.

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4 times as many = 4 x 3 = 12

2 fewer than that = 12-2 = 10

She has 10 fish

Answer:

10????

Step-by-step explanation: