120 students are signing up for classes. 80 of them are signing up for a Math class (M) and 50 of them are signing up for a Biology class (B). If 37 of them are signing up for both Math and Biology, how many are signing up for neither Math nor Biology. Hint: It may help to draw the Venn diagram, None of the other choices is correct. 37 13 93 43

Answer:

ML

Step-by-step explanation:

It's just mirrored.

ml I don't really know kk

Answer:

C

Step-by-step explanation:

Divide the quantity done by the time:

2/3 / 3/4

When dividing by a fraction flip it over and change divide to multiply:

2/3 x 4/3 = (2 x4) / (3x 3) = 8/9

In 1 hour she will complete 8/9 of the project.

Answer: in one hour she will complete 8/9 of her projec!

Step-by-step explanation:

The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

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The probability that the left turn lane will hold the vehicles of all the drivers who want to turn left is approximately 0.026.

To find the probability that the left turn lane will hold the vehicles of all the drivers who want to turn left, we can use the concept of independent events.

Given that the probability of any single driver turning left is 0.2, we can calculate the probability of a driver not turning left as 1 - 0.2 = 0.8.

Now, for each of the five vehicles arriving at the intersection while the light is red, the probability that the left turn lane will hold the vehicle is the probability that all three spaces in the left turn lane are empty, which is calculated as (0.8)^3 = 0.512.

Since the events are independent, the probability that all five vehicles can fit in the left turn lane is the product of the probabilities for each vehicle. Therefore, the probability that the left turn lane will hold the vehicles of all the drivers who want to turn left is (0.512)^5 = 0.026 (rounded to three decimal places).

In conclusion, the probability that the left turn lane will hold the vehicles of all the drivers who want to turn left is approximately 0.026.

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The probability that the left turn lane will hold the vehicles of all the drivers who want to turn left is approximately 0.026.

To find the probability that the left turn lane will hold the vehicles of all the drivers who want to turn left, we can use the concept of independent events.

Given that the probability of any single driver turning left is 0.2, we can calculate the probability of a driver not turning left as 1 - 0.2 = 0.8.

Now, for each of the five vehicles arriving at the intersection while the light is red, the probability that the left turn lane will hold the vehicle is the probability that all three spaces in the left turn lane are empty, which is calculated as (0.8)³= 0.512.

Since the events are independent, the probability that all five vehicles can fit in the left turn lane is the product of the probabilities for each vehicle. Therefore, the probability that the left turn lane will hold the vehicles of all the drivers who want to turn left is (0.512)⁵= 0.026 (rounded to three decimal places).

In conclusion, the probability that the left turn lane will hold the vehicles of all the drivers who want to turn left is approximately 0.026.

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Answer:

88 units

Step-by-step explanation:

First, we need to find the surface area of each side of the prism. Assuming this is a rectangular prism, judging by the dimensions, that makes things easier.

10*2=20

We'll multiply 20 by 2 since there are 2 sides with these dimensions, resulting in 40 units.

2*6=12

We'll multiply that by 4 since there are 4 sides with these dimensions, resulting in 48 units.

Adding 48 to 40, we get 88.

Hope that helped.

Answer:

\(\left.\dfrac{\text{d}x}{\text{d}t}\right|_{h=2}\approx0.184\; \sf m/s\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}\)

Given variables:

Given a = 8.9, use Pythagoras Theorem to create an equation for x² in terms of h²:

\(\implies x^2+h^2=a^2\)

\(\implies x^2+h^2=8.9^2\)

\(\implies x^2+h^2=79.21\)

\(\implies x^2=79.21-h^2\)

Differentiate with respect to h:

\(\implies 2x\dfrac{\text{d}x}{\text{d}h}=0-2h\)

\(\implies \dfrac{\text{d}x}{\text{d}h}=-\dfrac{2h}{2x}\)

\(\implies \dfrac{\text{d}x}{\text{d}h}=-\dfrac{h}{x}\)

Given:

\(\dfrac{\text{d}h}{\text{d}t}=-0.8\; \sf m/s\)

Therefore:

\(\begin{aligned} \dfrac{\text{d}x}{\text{d}t}&=\dfrac{\text{d}x}{\text{d}h}\times \dfrac{\text{d}h}{\text{d}t}}\\\\ \implies &=-\dfrac{h}{x} \times -0.8\\\\ &=\dfrac{0.8h}{x} \end{aligned}\)

Calculate x when h = 2:

\(\implies x^2=79.21-2^2\)

\(\implies x^2=79.21-4\)

\(\implies x^2=75.21\)

\(\implies x=\sqrt{75.21}\)

Substitute the values of h and x into the equation for dx/dt:

\(\implies \dfrac{\text{d}x}{\text{d}t}=\dfrac{0.8 \times 2}{\sqrt{75.21}}=0.1844939751\)

Therefore, the rate of the ladder's distance from the wall is 0.184 m/s (3 d.p.)

Answer is below. Look at the steps to clearly understand my answer.

Now, the first time to simplifying this to add both sides by 1.

2x - 1 = 8 → 2x - 1 + 1 = 8  + 1

Since we added both sides, we'll now simplify the problem.

Add both numbers.

Lastly, we'll divide both sides of the equation by the same term.

Now, cancel both terms that are in both the numerator and denominator.

If you look back at the fraction, 2 is in  the numerator and denominator, so we'll cancel those terms.

When you cancelled the terms, you should get x = 9/2.

Any questions? Comment below.

Answer:

Hi, there the answer is \(x=\frac{9}{2}\)

Step-by-step explanation:

Step 1: Add 1 to both sides.

2x−1+1=8+1

2x=9

Step 2: Divide both sides by 2.

2x /2 = 9 /2

x= 9 /2

Hope This Helps :)

the MLE for λ is unbiased and To show that T is sufficient for λ, we need to show that the distribution of X1, X2, …, Xn given T is independent of λ. Let T = ΣXi. Then the likelihood function can be written as:

L(λ|x) = P(X1=x1, X2=x2, …, Xn=xn | T=ΣXi)

= P(X1=x1) * P(X2=x2) * … * P(Xn=xn)

since the Xi's are independent.

Using the Poisson distribution, we have P(Xi=xi) = λ^xi * exp(-λ) / xi!. Therefore,

L(λ|x) = λ^(Σxi) * exp(-nλ) / (x1! * x2! * … * xn!)

Since the likelihood function can be expressed as a function of T = ΣXi and a function that does not depend on λ, the factorization theorem implies that T is sufficient for λ.

b. To show that X1 is not sufficient for λ, we need to find two different sets of data that have the same value of X1 but different values of λ. For example, suppose X1 = 3. Then, if λ = 2, we might observe X2 = 4, X3 = 1, and X4 = 2. On the other hand, if λ = 5, we might observe X2 = 0, X3 = 1, and X4 = 2. Both data sets have X1 = 3, but they have different values of λ, so X1 is not sufficient for λ.

c. To show that T is sufficient using the Neyman Factorization Theorem, we need to find functions g(T|λ) and h(x) such that L(λ|x) = g(T|λ) * h(x). We have already shown that

L(λ|x) = λ^(Σxi) * exp(-nλ) / (x1! * x2! * … * xn!)

Therefore, we can choose g(T|λ) = exp(-nλ) * λ^T / T! and h(x) = 1. Then, we have

L(λ|x) = exp(-nλ) * λ^T / T! * 1

which satisfies the factorization theorem. Therefore, T is sufficient for λ.

d. The likelihood function is

L(λ|x) = λ^(Σxi) * exp(-nλ) / (x1! * x2! * … * xn!)

The log-likelihood function is

log L(λ|x) = Σxi * log(λ) - nλ - Σ log(xi!)

To find the MLE for λ, we differentiate the log-likelihood function with respect to λ and set the derivative equal to zero:

d/dλ log L(λ|x) = Σxi/λ - n = 0

Therefore, λ = Σxi / n is the MLE for λ.

To show that this estimator is unbiased, we need to calculate its expected value:

E(λ) = E(Σxi/n) = (1/n) * E(Σxi) = (1/n) * nλ = λ

Therefore, the MLE for λ is unbiased.

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The value of the equation is A = 10 1/10

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be p = 7 3/5

p = 38/5

Let the second fraction be q = 2 1/2

q = 5/2

Substituting the values in the equation , we get

A = p + q

A = 38/5 + 5/2

A = ( 76 + 25 ) / 10

On simplifying the equation , we get

A = 101 / 10

A = 10 1/10

Therefore , the value of A is 10.1

Hence , the equation is A = 10 1/10

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Answer:

someone help call the police candice just got shot

Step-by-step explanation:

ahahahahahahahhahaa

Answer:

3m

Step-by-step explanation:

1 month =3 movies

m month =3*m movies

The minors of the 2 x 3 matrix are -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors are -18, 16, 5, -3, -18, 18, 3, -12, and -5.

Minor of 2: -3

Cofactor of 2: -18

Minor of -8: -2

Cofactor of -8: 16

Minor of 5: -1

Cofactor of 5: 5

Minor of 3: 9

Cofactor of 3: -3

Minor of 9: -2

Cofactor of 9: -18

Minor of 6: -3

Cofactor of 6: 18

Minor of -1: -3

Cofactor of -1: 3

Minor of -2: 6

Cofactor of -2: -12

Minor of -3: 5

Cofactor of -3: -5

The minors of the 2 x 3 matrix are -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors are -18, 16, 5, -3, -18, 18, 3, -12, and -5.

The given 2 x 3 matrix is composed of the values 2, -8, 5, 3, 9, 6, -1, -2, and -3. The minors of the matrix can be found by using the Laplace expansion formula and removing the row and column of the element in question. This yields the minors -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors of the matrix can be calculated by taking the determinant of the minor and multiplying it by the sign of the element in question. This results in the cofactors -18, 16, 5, -3, -18, 18, 3, -12, and -5.

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In order to identify these mentioned terms, it is important that each of them is defined.

Diameter: It is a line that passes through the center of the circle from one endpoint to another. It is two times the radius of the circle

Radius: It is a line drawn from the center of the circle to one endpoint of the circle.

It is half of the diameter.

Chord: It is a line drawn from one endpoint of the circle to another but does not necessarily pass through the center. Diameter is an example of a chord, but a chord does not have to be a diameter

Arc: It is a segment of the circumference of a circle

Circumference: is the total distance around the circle

From the diagram above:

|AB| is a diameter

|OA| or |OB| is the radius

|CD| is the chord

Arc CD is indicated on the diagram

If a circle has a radius of 2 cm:

Diameter = 2 x radius

Diameter = 2 x 2

Diameter = 4 cm

Therefore, if a circle has a radius of 2 cm, the diameter is 4 cm

Answer:

(3x + 1)(2x + 1)

Step-by-step explanation:

Remark

This thing really does factor.

Both the first and last coefficients are prime, so if it factors easily 1 and 3 and 1 and 2 must be there somewhere.

(3x + 1)(x + 2)    would be the logical guess. That turns out to be correct.

Answer:

The perimeter of the figure is 114.6

Step-by-step explanation:

If we add all of the numbers given to us, we can find the perimeter's value. So 8+12.3+6.2 etc.

Answer:

114.6

Step-by-step explanation:

just add all the sides together

To determine the number of permutations of the letters abcdefg that contain the string bcd, we need to find the number of ways to arrange the remaining letters after fixing the position of bcd.

To find the number of permutations that contain the string bcd, we can treat bcd as a single entity and find the number of ways to arrange the remaining letters abc, e, f, and g. Since there are 4 remaining letters, there are 4! = 4 factorial ways to arrange them.

However, we need to consider the string bcd as a single unit, so we have to multiply the number of permutations of the remaining letters by the number of ways to arrange the string bcd itself. The string bcd can be arranged in 3! = 3 factorial ways.

Therefore, the total number of permutations that contain the string bcd is given by 4! × 3! = 24 × 6 = 144. Hence, there are 144 permutations of the letters abcdefg that contain the string bcd.

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Answer:

I think the first one is x2 - x + 2) and (x4 + x3 - x2 + 2x + 4).

50 miles because of the miles

Answer:

Los factores de 48 son 1, 2, 3, 4, 6, 8, 12, 16, 24 y 48.

Answer:

1st one = one solution

2nd one = no solution

3rd one = no solution

4th one = many solutions (i think im not sure ab this one..)

5th one = one solution

6th one = many solutions

Step-by-step explanation:

hope this helps! brainliest pls ^^

Answer:

a) -5 meters

b)160°C

Step-by-step explanation:

Answer:

\(\boxed {\boxed {\sf C. \ 4 \ inches}}\)

Step-by-step explanation:

Circumference is the perimeter of a circle. It can be found using the formula:

\(c= \pi d\)

However, we are given the radius.

The formula can be rewritten as:

\(c= \pi 2 r\)

We know the circumference is 25.12 inches.

\(25.12 \ in = \pi 2r\)

Let's round pi to 3.14

\(25.12 \ in = (3.14) 2r\)

We want to solve for the radius, so we must isolate it.

Divide both sides by 3.14 because the inverse of multiplication is division.

\(25.12 \ in / 3.14= (3.14 ) 2r / 3.14\)

\(8 \ in = 2r\)

Divide both sides by 2.

\(8 \ in / 2 = 2r/2\)

\(4 \ in = r\)

The radius of the disc is 4 inches.

Answer:

  range = {5, 2, -1, -4}

Step-by-step explanation:

Maybe you want the corresponding range.

  f({-1, 0, 1, 2}) = 2 -3{-1, 0, 1, 2} = 2 +{3, 0, -3, -6} = {5, 2, -1, -4}

Answer:

The correct answer is D. -8<535

Step-by-step explanation:

In a math perspective, -8 < 535. Done

Otherwise, the elevations of the lowest and highest points start from below sea levels up to land and so on. Since negative numbers here are feet below the sea level, we went from New Orleans up. So D.

the volume in the first octant bounded by\(y^2=4−x\) and y=2z is pi/36 sqrt(3).

(1) To find the volume in the first octant bounded by the surfaces \(y^2 = 4 - x\) and y = 2z, we can set up a triple integral in cylindrical coordinates.

First, we need to determine the bounds for our variables. Since we are working in the first octant, we know that 0 <= z, 0 <= theta <= pi/2, and 0 <= r.

Next, we need to find the equation for the upper and lower bounds of z in terms of r and theta. We can start with the equation \(y^2 = 4 - x\) and substitute y = 2z to get:

\((2z)^2 = 4 - x\)

\(4z^2 = 4 - x\)

\(x = 4 - 4z^2\)

We can then use this equation along with the equation z = y/2 to get the bounds for z:

\(0 < = z < = (4 - x)^(1/2)/2 = (4 - 4z^2)^(1/2)/2\)

Squaring both sides, we get:

\(0 < = z^2 < = (1 - z^2)/2\)

\(0 < = 2z^2 < = 1 - z^2\)

\(z^2 < = 1/3\)

So the bounds for z are:

\(0 < = z < = (1/3)^(1/2)\)

Finally, we can set up the triple integral in cylindrical coordinates:

V = ∫∫∫ r dz dtheta dr

with bounds:

0 <= r

0 <= theta <= pi/2

\(0 < = z < = (1/3)^(1/2)\)

and integrand:

r

So the volume in the first octant bounded by y^2=4−x and y=2z is:

V = ∫∫∫ r dz dtheta dr

= ∫ from 0 to\((1/3)^(1/2) ∫ from 0 to pi/2 ∫ from 0 to r r dz dtheta dr\)

= ∫ from 0 to\((1/3)^(1/2) ∫ from 0 to pi/2 r^2/2 dtheta dr\)

= ∫ from 0 to\((1/3)^(1/2) r^2 pi/4 dr\)

\(= pi/12 (1/3)^(3/2)\)

= pi/36 sqrt(3)

Therefore, the volume in the first octant bounded by\(y^2=4−x\) and y=2z is pi/36 sqrt(3).

(2) To find the volume bounded by z = x^2 + y^2 and z = 4, we can use a triple integral in cylindrical coordinates.

First, we need to determine the bounds for our variables. Since we are working in the region where z is bounded by \(z = x^2 + y^2\) and z = 4, we know that 0 <= z <= 4.

Next, we can rewrite the equation \(z = x^2 + y^2\) in cylindrical coordinates as \(z = r^2.\)

So the bounds for r and theta are:

0 <= r <= 2

0 <= theta <= 2pi

And the bounds for z are:

\(r^2 < = z < = 4\)

Finally, we can set up the triple integral in cylindrical coordinates:

V = ∫∫∫ r dz dtheta dr

with bounds:

0 <= r <= 2

0 <= theta <= 2pi

\(r^2 < = z < = 4\)

and integrand: 1

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The 5-hour growth/decay factor for the number of mg of caffeine in Bradley's body is 0.521

In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time. Exponential decay differs from linear decay in that the decay factor depends on a percentage of the initial sum, meaning that the amount by which the original sum may be lowered will fluctuate over time as opposed to a linear function, which reduces the original sum by the same amount each time.

Given,

10 hour decay factor = 0.2722

Let us calculate the one-hour decay factor first,

One-hour decay factor = (10 hour decay factor)^1/10 = (0.2722)^1/10 = 0.8779

Now, Calculating the 5-hour decay factor,

5 hour decay factor = ( 1 hour decay factor )^5 = (0.8779)^5 = 0.521

Hence, the 5-hour growth/decay factor for the number of mg of caffeine in Bradley's body is 0.521

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Answer:

A. 6

Step-by-step explanation:

There are 3 pairs of side midpoints which you can draw a line of symmetry, and 3 pairs of vertices that you can use as a line of symmetry. This is a total of 6. Hope this helps!

Answer:

The last one,  14 3/4

Step-by-step explanation:

I hope this helped :)

Answer: Some of the examples of rational number are 1/2, 1/5, 3/4, and so on. The number “0” is also a rational number, as we can represent it in many forms such as 0/1, 0/2, 0/3, etc. But, 1/0, 2/0, 3/0, etc. are not rational, since they give us infinite values.

Step-by-step explanation: