determine the cumulative distribution function for the random variable in exercise 4.1.9 (pr. 2). use the cumulative distribution function to determine the probability that the waiting time is less than 1 hour. b. determine the quantile estimation equation for the random variable in exercise 4.1.9 (pr. 2). use the equation to determine the 95% quantile of the random variable.

The polynomial that was factored using algebra tiles with an algebra tile configuration of 0 tiles in the factor 1 spot and 0 tiles in the factor 2 spot, and 15 tiles in the product spot in 3 columns with 5 rows with 1 labeled x squared, 2 are labeled x, the 4 tiles below x squared are labeled negative x, and the 8 tiles below the x tiles are labeled negative is: x² - 2x - 8.

When you factor a polynomial using algebra tiles, you arrange the tiles in the form of a rectangle. The area of the rectangle gives the product of the two binomials, while the sides of the rectangle give the sum of the two binomials.In this case, there are 15 tiles in the product spot, so the two factors must have a total of 15 terms.

However, since there are 0 tiles in both the factor 1 and factor 2 spots, both binomials must have a constant of 0. Therefore, the only possible arrangement for the tiles is: 1 x² tile, 2 x tiles, 4 negative x tiles, and 8 negative tiles.Now, we need to arrange these tiles in the form of a rectangle. The only possible arrangement is a rectangle with a length of 5 tiles (3 columns) and a width of 3 tiles (1 x² tile and 2 x tiles). The 4 negative x tiles are placed below the x² tile, and the 8 negative tiles are placed below the x tiles. This gives the polynomial: x² - 2x - 8.

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Answer:

The answer is 2

Step-by-step explanation:

Answer:

(2, - 1.5 )

Step-by-step explanation:

Given a segment with endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \(\frac{x_{1}+x_{2} }{2}\), \(\frac{y_{1}+y_{2} }{2}\) )

Here (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (2, - 7 ) , then

midpoint = ( \(\frac{2+2}{2}\), \(\frac{4-7}{2}\) ) = ( \(\frac{4}{2}\), \(\frac{-3}{2}\) ) = (2, - 1.5 )

Answer:

C. AB = 10.7

Step-by-step explanation:

Let's look through each option.

Option A

❌ AB = 2(AC)

It can't be that since AC isn't equivalent to BC. AC is 5.5 and CB is 5.2

Option B

❌ AB = 11

AB doesn't equal 11. AB equals to AB + AC.

If you put the numbers in, it gets to AB = 5.5 + 5.2.

If you add the numbers up, it would get to AB = 10.7. Since 10.7 is not 11, option B won't work.

Option C

Option C works as shown in Option B.

Option D

none of the above isn't true since option C works.

Hope this helped! If not, please let me know! <3

A8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n8m+(7+3m)4+2n

Step-by-step explanation:

The coordinates are simple. Hope you understand this and you can draw it out.

Answer:

(2x+1)(x-3)

x=-1/2,x=3

Step-by-step explanation:

Depends what method you use but I would do...

-3*2=-6

-6x+1x

-6x/2=x-3 and 1x/2= 2x+1

(2x+1)(x-3)

Now solve by equalling it to 0

2x+1=0

2x/2=-1/2

x=-1/2

x-3=0

x=3

9514 1404 393

Answer:

Step-by-step explanation:

The missing side is found using the Pythagorean theorem:

  X = √(37^2 -22^2) = √885 ≈ 29.7 . . . feet

The missing angle is found using the cosine relation:

  Cos = Adjacent/Hypotenuse

  cos(x) = 22/37

  x = arccos(22/37) ≈ 53.5°

_____

The posted question asks for side length; the picture asks for angle.

Answer:

D. -29.5

Step-by-step explanation:

−14.160÷−0.48

Expand -14.16 over -0.48 by multiplying both numerator and the denominator by 100.

-1416 / -48

and lastly reduce the fraction -1416 / -48 to lowest terms by extracting and canceling out -24 to get 592/2 and

59/2 = 29 1/2 = 29.5

Answer:

Because she found it improves division.

Step-by-step explanation:

2x-3=7

The answer would be 5.

Answer:

x=5

Step-by-step explanation:

2x−3=7

Add 3 to both sides.

2x=7+3

Add 7 and 3 to get 10.

2x=10

Divide both sides by 2.

x=10/2

Divide 10 by 2 to get 5.

x=5

If researchers report that the results from their study were significant, p < .05, this means that we would expect the results to occur by chance less than 5 times out of 100.

When researchers report that the results from their study were significant, p < .05, it means that we would expect the results to occur by chance less than 5 times out of 100. This threshold is commonly used in statistical hypothesis testing.

In statistical hypothesis testing, the p-value represents the probability of obtaining results as extreme as the observed results, assuming that the null hypothesis is true. If the p-value is less than the predetermined significance level of .05 (or 5%), it is considered statistically significant. This means that the observed results are unlikely to have occurred by chance alone, and there is evidence to support the alternative hypothesis.

Therefore, option D, "We would expect the results to occur by chance less than 5 times out of 100," is the correct interpretation of reporting significant results with p < .05.

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Answer:

42 quarts

Step-by-step explanation:

There are 4 quarts in one gallon, so you'd just multiply.

Answer:

24

Step-by-step explanation:

Here is how you do this

If there is 20 yellow sweets, and for every 5 yellow you have 6 pink you need to divide 20/5 (4)
then you would do 6*4 which would be 24

Answer:

24

Step-by-step explanation:

There are 5 yellow candies for every 6 candies.

5x4 is 20, and we know there are 20 yellow candys (The 5 in the multiplication problem being the 5 yellow candies for every 6 candies.).

So, then I multiplied 6x4 to get 24. This may not always work but it is a (I believe) a proportional relationship.

Hello! How are you today?

The value of E is \((-2)^{\frac{n-1}{8n} }\).

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

\(E^{8n}\) = 1 x \((-2)^{n -1}\)

8n root on both sides.

E = \(((-2)^{n -1})^\frac{1}{8n}\)

E = \((-2)^{(n-1)\times\frac{1}{8n}}\)

E = \((-2)^{\frac{n-1}{8n} }\)

Thus,

E = \((-2)^{\frac{n-1}{8n} }\).

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Answer: 38.465 feet

Step-by-step explanation: The diameter (7 feet) divided by 2, equals 3.5. multiply 3.5 squared (12.25 feet) by pi (3.14) equals your answer of 38.465 feet.

A) Given that all people work at the same steady rate and 6 people stuff flyers in 5 minutes, then 12 (=2*6) people will need 2.5 (=5/2) minutes, 30 (=5*6) people will need 1 (=5/5) minutes, etc. Then, the relationship is inverse.

The formula that relates the variables is:

people = k/time

Replacing with people = 6 and time = 5, we get.

6 = k/5

6*5 = k

k = 30

For 5 people:

5 = 30/time

time = 30/5

time = 6 minutes

people | time

5 | 6

6 | 5

12 | 2.5

30 | 1

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer:

-2x=24 x=-12. 4(x – 3) = 2(x+8). 48-12=2x+16 ax=28. (x=14. -X-3=7. 8. 3 x 10.

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=2x-7

y=-1/2x+6

-1/2x+6 = 2x-7

x= 4

y= 2(4)-7

 = 1

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Answer:

slope is 4 and intercept on y-axis is -2.

Answer:

The zeroes are -1 and 13

Positive value: \(x = 13\)

Step-by-step explanation:

Given

\(2x^2 - 24x = 26\)

Solving (a): The zeros

\(2x^2 - 24x = 26\)

Subtract 26 from both sides

\(2x^2 - 24x - 26= 26-26\)

\(2x^2 - 24x - 26= 0\)

Divide through by 2

\(\frac{1}{2}(2x^2 - 24x - 26) = \frac{1}{2} * 0\)

\(x^2 - 12x - 13 = 0\)

Expand

\(x^2 - 13x + x - 13 = 0\)

Factorize:

\(x(x-13)+1(x-13)=0\)

\((x+1)(x-13)=0\)

Split:

\(x +1 =0\ or\ x-13=0\)

\(x =-1\ or\ x=13\)

Hence, the zeroes are -1 and 13

Solving (b): The positive value of x

In (a) above:

\(x =-1\ or\ x=13\)

The positive value is:

\(x = 13\)

Answer: D; undefined

Step-by-step explanation: Slopes are represented by \(y2-y1/x2-x1\) Since both the x-values are the same, they end up creating a 0 in the denominator which leads to an undefined function.

Answer:

the subtraction property of equality

Answer:

the answer is a) the subtraction property of equality

Step-by-step explanation:

II(X, Y) = -dN(X)Y, where N is the unit normal vector of the surface.6. The plane curve D.

1. Given a space curve a: 1 = [0,2m] R³, such that a )= a), then a(t) is simple.

The curve a(t) is simple because it doesn't intersect itself at any point and doesn't have any loops. It is a curve that passes through distinct points, and it is unambiguous.

2. The torsion of a plane curve equals not a constant. The torsion of a plane curve is not a constant because it depends on the curvature of the plane curve. Torsion is defined as a measure of the degree to which a curve deviates from being planar as it moves along its path.

3. Given a metric matrix guy, then the inverse element g¹¹ equals 212.

The inverse of the matrix is calculated using the formula:

                    g¹¹ = 1 / |g| (g22g33 - g23g32) 2g13g32 - g12g33) (g12g23 - g22g13)

                                  |g| where |g| = g11(g22g33 - g23g32) - g21(2g13g32 - g12g33) + g31(g12g23 - g22g13)4.

The vector S=N x T is called binormal of a curve a lies on a surface M.

The vector S=N x T is called binormal of a curve a lies on a surface M.

It is a vector perpendicular to the plane of the curve that points in the direction of the curvature of the curve.5.

The second fundamental form is calculated using (N, Xij).

The second fundamental form is a measure of the curvature of a surface in the direction of its normal vector.

It is calculated using the dot product of the surface's normal vector and its second-order partial derivatives.

It is given as: II(X, Y) = -dN(X)Y, where N is the unit normal vector of the surface.6. The plane curve D. not simple is the correct answer to the given problem.

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Answer:

see below

Step-by-step explanation:

sum of angles in right triangle is 180

90 + 50 = 140

b = 180 - 140 = 40 deg

find c

cos(50) = 20/ c

c = 20/cos(50) = 31.1

find a

tan(40) = 20/a

a = 20/tan(40) = 23.8

The probability that at least 8 students volunteered at least occasionally is 0.4459.

To calculate this probability, we can use the binomial probability formula. Let's define the following variables:
- n = 11 (number of college students in the sample)
- p = 0.88 (probability that a first-year college student is involved in volunteer work)
- x = 8 (or more, since we're interested in "at least" 8 students)

Now, we need to calculate the probability of exactly 8, 9, 10, and 11 students volunteering and sum them up to find the probability of at least 8 students. Using the binomial probability formula, the probability of exactly x successes in a sample of size n can be calculated as:

P(X = x) = (nCx) * p^x * (1 - p)^(n - x)

Using this formula, we can calculate the probabilities for x = 8, 9, 10, and 11, and then add them together:

P(X >= 8) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11)

After calculating these probabilities and summing them up, we find that the probability of at least 8 students volunteering is approximately 0.4459, rounded to four decimal places.

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Answer

to solve the equation for t

You have r= t/m

So you need to rearrange the terms

r= t /m ; t = r*m

you pass the m from dividing to multiplying

t = r * m

First, we know that angle B is congruent to angle E.

2x + 40 = 5x + 10

2x + 30 = 5x

30 = 3x

x = 10

Angle B and Angle E = 60 degrees

Angle C = 14 degrees

Remember that the interior angles of a triangle always add up to 180 degrees. Now that we know 2 of the 3 angles of these triangles, and because they are congruent, all that's left to do is find Angle A/D by setting up a simple equation.

60 + 14 + D = 180

74 + D = 180

D = 106

Angle D = 106 degrees

Hope this helps!

Answer:

Step-by-step explanation:

<E = <A                property of congruency.

<A = 5x + 10        Comes from the fact that <A and <E are equal.

Three angles of the triangle are given. They add to 180 degrees.

2x + 40 + x + 4 + 5x + 10 = 180         Combine like terms

8x + 54 = 180                                     Subtract 54 from both sides.

8x + 54 - 54 = 180 - 54                      Combine  

8x = 126                                              Divide by 8

8x/8 = 126/8

x = 15.75

<B = <D                                               Congruency and parallel lines

<D = 2x + 40                                       Substitute for x

<D = 2*15.75  +  40                             Combine

<D = 31.5 + 40

<D = 71.5