I think it’s 12/20 but I don’t know!?

Answer:

The quotient to this equation is 4x² + 13x + 1

Step-by-step explanation:

When we divide exponents, we subtract the exponential numbers.

4x³ + 13x² + 5x - 4 / x + 1

Now, we divide. For this problem, we are only dividing the like terms of x because anything divided by 1 will equal to itself.

4x² + 13x + 5 - 4

Now, we combine like terms.

4x² + 13x + 1

Answer:

The new probability of drawing a red marble is ()=.  

Step-by-step explanation:

The sample space change. Each event within the sample space change. The probability of each event changes.

Answer:

375

Step-by-step explanation:

2400=2^5*3*5^2

2400>2025

2400-2025=375

Answer:

A. 2x = 3x - x

E. x - 1 = 2x - (x + 1)

Step-by-step explanation:

To find out which linear equations have an infinitely many solutions, we must solve for the value of x:

A. 2x = 3x - x

Subtract 2x from both sides:

2x - 2x = 3x - x - 2x

0 = 3x - 3x

0 = 0  This is a true statement, which implies that any values of x will satisfy the given equation. Therefore, this linear equation has infinitely many solutions.

B. 3x = 3(2 + x)

Distribute 3 into (2 + x):

3x = 6 + 3x

Subtract 3x from both sides:

3x - 3x = 6 + 3x - 3x

0 = 6  This is a false statement.  Therefore, there is no solution.

C. 4x = x + 4

Subtract x from both sides:

4x - x = x - x + 4

3x = 4

Divide both sides by 3:

\(\frac{3x}{3} = \frac{4}{3}\)

x = 4/3  This is the solution to the given equation.

D. -2x = -x - 2

Add x to both sides:

-2x + x  = -x + x  - 2

-x = -2

Divide both sides by -1:

\(\frac{-1x}{-1} = \frac{-2}{-1}\)

x = 2  This is the solution to the given equation.

E. x - 1 = 2x - (x + 1)

Distribute -1 into (x + 1):

x - 1 = 2x - x - 1

Add 1 to both sides:

x - 1 + 1 = 2x - x - 1 + 1

x = x

Subtract x from both sides:

x - x = x - x

0 = 0  This is a true statement, which implies that any values of x will satisfy the given equation. Therefore, this linear equation has infinitely many solutions.

Given these calculations, we can see that options A and E have infinitely many solutions.

Please mark my answers as the Brainliest if my explanations were helpful :)

Answer:

7

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

98=90+8

14=10+4

90+10=100

8+4=12

100+12=112

Brainliest plzz

Hank: 1.3 pounds at a rate of 0.75 pounds per minute

Tom: 2.5 pounds at a rate of 0.5 pounds per minute

rate is given by

r = p / t

where p is the number of pounds picked during a fixed time

The number of berries picked by Hank during a certain time is given by the following equation

For Tom, the equation is the following:

Now, we need to find a time t when T and H are the same

We now just need to solve for t

Let's find t step by step

Which is the same as t=4.8

Answer:

196

Step-by-step explanation:

According to the question we have  the correct answer is option 2, with a volume of 1664 cubic units.

The volume of the solid lying under the circular paraboloid z = x^2 + y^2 and above the rectangle R = (-4, 4] x [-6, 6] can be found using a double integral. First, set up the integral with respect to x and y over the given rectangular region:

Volume = ∬(x^2 + y^2) dA

To evaluate this integral, we will use the limits of integration for x from -4 to 4, and for y from -6 to 6:

Volume = ∫(from -4 to 4) ∫(from -6 to 6) (x^2 + y^2) dy dx

Now, integrate with respect to y:

Volume = ∫(from -4 to 4) [(y^3)/3 + y*(x^2)](from -6 to 6) dx

Evaluate the integral at the limits of integration for y:

Volume = ∫(from -4 to 4) [72 + 12x^2] dx

Next, integrate with respect to x:

Volume = [(4x^3)/3 + 4x*(72)](from -4 to 4)

Evaluate the integral at the limits of integration for x:

Volume = 1664

Therefore, the correct answer is option 2, with a volume of 1664 cubic units.

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The rule of signs in binomial factors given a trinomial in the form :

Note that b and c can be positive or negative.

And the factor may be :

First thing to do is to check the sign of c.

If it is positive, the signs of m and n can be both positive or both negative.

Since positive multiplied by positive is positive and

negative multiplied by negative is also positive.

If the sign of c is negative, one of the factors must be negative and the other must be positive, because negative multiplied by positive is negative.

After considering the sign of c, next to check is the sign of b.

Case 1 :

If b and c are both positive, we know that the factors can be both negative or both positive.

And since the sign of b is positive, we must follow the sign of it which is positive.

So both m and n are positive

For example :

The factor will be :

which are both positive.

Case 2 :

If b is negative and c is positive, we will follow the sign of b. m and n will be both negative.

For example :

The factors are :

which are both negative

Case 3 :

Now the third case is tricky.

If c is negative, we know that one of m and n is negative and the other one is positive.

The sign of the larger number between m and n will follow the sign of b.

For example :

c is negative, so one factor must be negative and the other must be positive. The sign of b is negative, so the larger factor must be negative also.

The factor will be :

3 is larger than 2, so the negative sign of b will proceed to the factor 3.

Answer:

domain: all real numbers

range: all real numbers greater than -2

Step-by-step explanation:

The domain is all the possible numbers that x, or the inputs to the function, can be. It looks like this function goes on forever both left and right, so its domain is all real numbers.

The range is all the possible numbers that y, or the outputs to the function, can be. It looks like this function starts growing at a y-value of -2 and then goes on forever, so its range is all real numbers greater than -2.

Hopefully that was helpful! :)

The longest poster that can fit in the box must have dimensions of 10 inches (height) by 20 inches (length) by 12 inches (width).

To find the longest poster that can fit in the box, we need to determine the longest dimension of the box itself. Since the box is 10 inches high, the longest poster that can fit in the box must have a height of no more than 10 inches.

Now, we need to consider the other two dimensions of the box. The box is 20 inches long and 12 inches wide, so the longest poster that can fit in the box must have a length of no more than 20 inches and a width of no more than 12 inches.

As for why we can only fit one maximum-length poster in the box but we can fit multiple 22-inch posters in the same box, it's because the length and width of the box are larger than the length and width of the 22-inch poster.

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The two unit vectors that are orthogonal to both i −k and i − 3j + 2k are:i - j / √2- i + j / √2

Given i - k and i - 3j + 2k.

Find two unit vectors that are orthogonal to both i −k and i − 3j 2k.

The two unit vectors orthogonal to both i - k and i - 3j + 2k are as follows:

First we find the cross product between i - k and i - 3j + 2k.

(i - k) × (i - 3j + 2k) = i × i - i × 3j + i × 2k - k × i + k × 3j - k × 2k= 0 + 2j - 3j - 0 + 0 + i = i - j

The cross product is (i - j).

Let v be any vector orthogonal to (i - j).

Let v = ai + bj + ck where (a, b, c) is a non-zero vector such that ai + bj + ck is orthogonal to (i - j).

We know that the dot product of two orthogonal vectors is zero. i.e (ai + bj + ck) • (i - j) = 0

(ai + bj + ck) • (i - j) = ai + bj + ck - aj - bj= (a - c)i - (a + b)j + ck

So we need to have (a - c) = (a + b) = 0 since (a, b, c) is non-zero implies ai + bj + ck is non-zero.

Therefore a = c and a = - b and a ≠ 0.

So a = - b and c = a.

Thus v = ai - aj + ak or v = -ai + aj + ak, both of which are unit vectors.

The two unit vectors that are orthogonal to both i −k and i − 3j + 2k are:i - j / √2- i + j / √2

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Answer:

\(y = \frac{ - 3x + 6}{2} = \\ x = 4 \\ y = \frac{ - 3 \times 4 + 6}{2} = \frac{ - 12 + 6}{2} = \frac{ - 6}{2} = - 3\)

The probability that a senior takes the bus to school every day, given that he or she has a driver's license, is approximately 17%.

To find the probability that a senior takes the bus to school every day given that he or she has a driver's license, we can use conditional probability.

Let's denote the event that a senior has a driver's license as A and the event that a senior takes the bus to school every day as B. We want to find the probability of event B given event A, denoted as P(B|A).

We are given the following information:

The conditional probability formula states that P(B|A) = P(A ∩ B) / P(A).

Substituting the given values, we have:

P(B|A) = P(A ∩ B) / P(A) = 0.14 / 0.84 ≈ 0.1667

To the nearest whole percent, the probability that a senior takes the bus to school every day, given that he or she has a driver's license, is approximately 17%.

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The probability that a senior takes the bus to school every day, given that he or she has a driver’s license, is 17%.

To find the probability that a senior takes the bus to school every day, given that he or she has a driver’s license, we need to use the concept of conditional probability. Conditional probability is the probability of one event happening given that another event has already occurred. In this case, we want to find the probability of taking the bus to school every day, given that the student has a driver’s license.

We can use the formula:

P(A|B) = P(A and B) / P(B)

where P(A|B) is the probability of event A happening given that event B has happened, P(A and B) is the probability of both events A and B happening, and P(B) is the probability of event B happening.

In the given problem, 84% of the seniors have driver’s licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have driver’s licenses and take the bus to school every day. We want to find the probability of taking the bus every day, given that the student has a driver’s license.

Plugging in the values into the formula:

P(Taking the bus every day | Having a driver’s license) = P(Taking the bus every day and Having a driver’s license) / P(Having a driver’s license)

P(Taking the bus every day | Having a driver’s license) = 0.14 / 0.84 ≈ 0.1667

To the nearest whole percent, the probability that a senior takes the bus to school every day, given that he or she has a driver’s license, is 17%.

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Answer: the first graph

Step-by-step explanation:

vertical intercept (0,3)

slope m=1, b=3

The equation of the elastic curve for the beam using method of double integration is EI.y′′=M .

Because we can obtain the equation of the elastic curve using the double integration method, it is an effective method for determining the deflection and slope of a beam at any point.

The formula for a calculus curve's radius of curvature, y = f(x), is

\(P=\frac{[1+(\frac{dy}{dx}) ^{2} ]^{\frac{3}{2} } }{|\frac{d^{2}y }{d^{2}x } |}\)

The radius of curvature of a beam is given as in the derivation of the flexure formula.

\(P=\frac{El}{M}\)

Because the slope of the elastic curve dy/dx is so minimal due to the tiny amount of beam deflection, squaring this calculation reduces the value to practically nothing.

\(P=\frac{1}{\frac{d^{2}y }{d^{2}x }}\)

   \(=\frac{1}{y"}\)

Thus, EI / M = 1 / y''

y" = M/El

   = (1/El)*M

If EI is constant, the equation may be written as:

EI.y′′=M

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Answer:

4x2−12x+9=0

Step-by-step explanation:

The equation, 2x2+x+3=0, does not have a solution

The equation, x2+5x−3=0, equals -5/2+1/2√37 and -5/2+-1/2√37

The equation, x2−5x+4=0, equal 1 and 4

The equation, 4x2−12x+9=0, equals only 3/2

Hope this Helps

a) The probability that a student has taken both statistics and chemistry is 0.2.

b) The probability that a student has taken chemistry but not statistics is 0.1.

c) The probability that a student has taken neither statistics nor chemistry is 0.1.

Let S be the event that a randomly selected college student has taken a statistics course, and let C be the event that the same student has taken a chemistry course. Given that P(S) = 0.8, P(C) = 0.3, and P(S union C) = 0.9.

a. To find the probability that a student has taken both statistics and chemistry, we can use the formula: P(S ∩ C) = P(S) + P(C) - P(S union C)

P(S ∩ C) = 0.8 + 0.3 - 0.9 = 0.2

Therefore, the probability that a student has taken both statistics and chemistry is 0.2.

b. To find the probability that a student has taken chemistry but not statistics, we can use the formula: P(C - S) = P(C) - P(S ∩ C)

P(C - S) = 0.3 - 0.2 = 0.1

Therefore, the probability that a student has taken chemistry but not statistics is 0.1.

c. To find the probability that a student has taken neither statistics nor chemistry, we can use the formula: P((S union C)') = 1 - P(S union C)

P((S union C)') = 1 - 0.9 = 0.1

Therefore, the probability that a student has taken neither statistics nor chemistry is 0.1.

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The solution is given below.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

The perimeter of a rectangle is 40 cm. The length is 14 cm.

Let x = width of the rectangle.

Ravi says he can find the width using the equation 2(x + 14) = 40.

Fran says she can find the width using the equation 2x + 28 = 40.

now, we get,

1. Divide both sides by 2

 2(x+14) = 40

 x+14 = 20

2. Isolate the x term by subtracting 14 from both sides

3. x = 6. The width of the triangle is 6 cm.

4. Isolate the x term by subtracting 28 from both sides

 2x + 28 = 40

 2x = 12

5. Divide both sides by 2

6. x = 6

7. The two equations have the same solution, because by the distributive rule, 2(x+14) = 2x+28.

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The vector A is (49.9m) x and vector B is (1.5m) x.

In the given question, A − B = (−51.4m)x, C =(62.2m)x, and A +B +C =(13.8m)x.

Find the vector A. Find the vector B.

We may disregard the vector x and treat the issue as an arithmetic one since all of the measurements are in the same direction (simultaneous equations).

A − B = −51.4.............................(1)

C = 62.2.............................(2)

A + B + C = 13.8.............................(3)

Now putting the value of C from Equation (2) in Equation (3)

A + B + C = 13.8

A + B + 62.2 = 13.8

Subtract 62.2 on both side, we get

A + B = 13.8 - 62.2

A + B = - 48.4.....................(4)

Adding the equation (1) and (4), we get

2A = - 99.8

Divide by 2 on both side, we get

A = - 49.9

Now subtracting the equation (1) and (4), we get

2B = -48.4 - ( -51.4)

2B = 3

Divide by 2 on both side, we get

B = 1.5

Since all of the calculations are done in terms of the unit vector x.

So the answer is vector B = (1.5m) x and vector A = (49.9m) x.

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Answer:

23 should have been subtracted from, not added to, both sides of the equation.

The sample proportion of vehicles on U.S. roads that speed is 0.4626, or approximately 46.26%.

The sample proportion of vehicles on U.S. roads that speed can be calculated by dividing the number of vehicles that were speeding by the total number of vehicles in the sample.

In this case, the sample proportion of vehicles that speed is:

Sample proportion = Number of vehicles speeding / Total number of vehicles in the sample

Sample proportion = 9,252 / 20,000

Sample proportion = 0.4626

This is consistent with the ABC News report that 58% of U.S. drivers admit to speeding.

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In this scenario, the null hypothesis states that a surgical procedure is successful at least 80% of the time, while the alternative hypothesis claims that it is less than 80% successful.

In hypothesis testing, Type II error occurs when the null hypothesis is not rejected even though it is false. The Type II error, denoted by β, would occur if we fail to reject the null hypothesis even though it is false, i.e., when the actual success rate of the surgical procedure is less than 80%.

Therefore, β represents the probability of accepting the null hypothesis when the alternative hypothesis is true. It is also known as the false negative rate, as it occurs when we fail to detect a significant difference between the sample and population due to random chance or other factors.

The value of β depends on various factors, such as the sample size, significance level, and effect size. To calculate β, we need to specify these values and use statistical software or tables to find the probability of Type II error.

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The chord length (C) between PC and P is 5.831 cm.

A chord is a straight-line segment that connects two points on a circle. P is a point on the circumference of the circle, while PC is a chord of the circle that passes through P.

Therefore, the chord length (C) between PC and P is equal to half of the length of the chord PC. In other words, we need to find the length of PC and divide it by 2. We can do this using the Pythagorean Theorem since we have a right triangle formed by PC and the diameter of the circle.

Diameter of the circle (AB) = 20 cm

Radius of the circle (OA) = AB/2 = 10 cm

Height of the triangle (OP) = 6 cm

Using the Pythagorean Theorem, we can find the length of PC as follows:

PC² = PO² + OC²PC² = 10² + 6²PC² = 136PC = √136PC ≈ 11.661

Therefore,  is equal to C = PC/2C = 11.661/2C ≈ 5.831 cm.

So, the answer to the question "What is the chord length (C) between PC and P? when the diameter of the circle = 20 cm and the Height of the triangle = 6cm" is 5.831 cm.

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Answer: D: The median for town A, 30 Degrees, is greater than the median for town B, 25 Degree.

Step-by-step explanation:

The median means the middle number. Town A median is 30 and Town B median is 25.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The IQR is about middle 50% of data range. This is the difference between Q3 and Q1.

Town A

Town B

Correct choice is C

Explanation:

1 hat = 45 dollars

6 hats = 6*45 = 270 dollars

1 phone = 40 dollars

4 phones = 4*40 = 160 dollars

total = $270 + $160 = $430

Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430

In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.

Answer:

m(arc CD) = 122°

Step-by-step explanation:

Since, measure of an arc = 2 × (Angle subtended by the arc at the circumference of the circle)

m(arc CD) = 2[m(∠CBD)]

By triangle sum theorem in ΔBCD,

m∠CBD + m∠BDC + m∠DCB = 180°

m∠CBD + 49° + 70° = 180°

m∠CBD = 180° - 119°

m∠CBD = 61°

Therefore, m(arc CD) = 2 × 61°

m(arc CD) = 122°

Drawn using the same scale, the shape of the normal curve H will be more spread out than the shape of the normal curve G.

Normal curve, or Gaussian distribution, is a curve that describes data form a variable that has infinite, or very large, number of possible values distributed among the population. It has a symmetric shape, and the distribution rises in the middle, and goes down to the left and to the right. The mean is equal to the mode and median and is located at the middle or top of the curve.

If two normal curves have the same mean, but different standard deviations, then the curve with the larger standard deviation will have a more spread out shape than the other.

If Normal curve H has a standard deviation of 10 and normal curve G has 5, but both has the same mean, then Normal curve H has a more spread out shape than the curve of normal curve G.

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