Anand knows from experience that if he does not review a new vocabulary word that he has learned, that
he has a 70% chance of forgetting it each day. Let D be the number of days Anand goes without reviewing
a word until he forgets it.
Find the probability that it takes Anand 4 or more days to forget the word.
You may round your answer to the nearest hundredth.
P(D > 4) =

The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

To learn more on vectors: https://brainly.com/question/31900604

#SPJ1

The alternative hypothesis is a two-tailed hypothesis because it examines whether there is a difference in effectiveness, which can be positive or negative.

A null hypothesis is a type of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Sample data is used to assess the viability of theories. H0 represents what is referred to as "zero" on occasion. The researchers make the assumption that there may be a relationship between the factors. The null hypothesis, on the other hand, claims that no such relationship exists. Although it may not appear to be significant, the null hypothesis is an important part of research.

The following hypotheses would be appropriate for testing the difference in effectiveness between brand-name and generic ibuprofen:

The null hypothesis (H0) states that there is no difference in the mean effectiveness of brand-name and generic ibuprofen.

Alternative hypothesis (Ha): The mean effectiveness of brand-name ibuprofen and generic ibuprofen differs.

These hypotheses can be expressed symbolically as follows:

H0: _generic = _brand-name\\

Ha: _trademark _generic

Where _brand-name denotes the population mean efficacy of brand-name ibuprofen and _generic denotes the population mean efficacy of generic ibuprofen. The alternative hypothesis is a two-tailed hypothesis because it examines whether there is a difference in effectiveness, which can be positive or negative.

To know more about null hypothesis visit

https://brainly.com/question/28920252

#SPJ1

Answer:
H0: μ1 – μ2 = 0

Ha: μ1 – μ2 ≠ 0

Step-by-step explanation:

took the quiz :)

Answer:

12 hours

Step-by-step explanation:

First it’s every 2 weeks so divide by 2 to find 1 week and get 16 hours a week then subtract 4 hours cause olivia works 4 more per week and u get 12 hours so Lily works 12 hours a week ;)

sorry if wrong have a good day/night

may i please have a branllest

Answer:

it'd be F

Step-by-step explanation:

just did it on my acellus

The location of the circumcenter of triangle ABC is at ''Point D.''

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The triangle ABC is shown in figure.

Now,

We know that;

The circumcenter of the triangle is the point at which the distance between the vertices with the circumcenter is equal to each other.

In figure ABC;

⇒ AD = BD = CD

So, The circumcenter of triangle ABC is at point D.

Learn more about the triangle visit:

https://brainly.com/question/1058720

#SPJ2

Answer:

40 boxes would weigh 120 pounds. nice

15/45 = 40 x 3 = 120 pounds

Step-by-step explanation:

:)

4.1.1 and 4.1.3 are discrete variables and 4.1.2 is a continuous variable.

What are discrete and continuous variables?

Discrete variables are those that have distinct, countable values. A continuous variable can be assigned to any value that falls inside a range, which has an infinite number of possible values.

4.1.1 "I am fifty years old"

It is a discrete variable because age is represented in whole numbers.

4.1.2 "I can drink 400.5 ml of juice in a minute"

It is a continuous variable because the amount of juice is consumed every minute so, we can obtain values even in fraction.

4.1.3 "I have 2 brothers and 1 sister"

It is a discrete variable because the given value is countable.

Hence, 4.1.1 and 4.1.3 are discrete variables and 4.1.2 is a continuous variable.

Learn more about discrete and continuous variable from the given link

https://brainly.com/question/18763328

#SPJ1  

y = 4x +8

Step-by-step explanation:

Just take the signs of the integers and switch them around! -4 becomes +4, and -8 becomes +8. Note that you should not switch multiplication to division, this only works for addition and subtraction signs.

Answer:

39

Step-by-step explanation:

6(6)-(-3)

36+3

Answer:

i THINK anyson earned 1742.4 a month in June but I’m a middle schooler so

Step-by-step explanation:

The internet

Answer: the fraction is 4over 12

Step-by-step explanation:

first you multiply the top and bottom number then u divide the number by the bottom.

Answer:

1/2

Step-by-step explanation:

If you were to multiply 1/2 by -50 you would get -25, which is greater than -50.

The same goes for 1/5, if you were to multiply 1/5 by -50, you would get -10.

Another example is 1/10 times -50, that would be -5.

Answer:

Is this in a different language?

Step-by-step explanation:ok:)

Answer:

y=5x-1 I think because the snd option doesn't make sense but you should try y =5x-1

Answer:

\(\boxed{7^{\frac{3}{2} } \times 4}\)

Step-by-step explanation:

\(4 (\sqrt{7} )^3\)

Square root can be written as a power.

\(4(7^{\frac{1}{2} })^3\)

Multiply the exponents.

\(4(7^{\frac{3}{2} })\)

Answer:

A (7^3/4)

Step-by-step explanation:

ed 2020

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

(8x + 2) + 70 + 60 = 180

Step 2: Solve for x

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

For more such questions on normal distribution

https://brainly.com/question/4079902

#SPJ8

Let's practice a little algebra and set the second distance to x.

9/4=270/x

solve

9x=270*4

x=30*4

x=120

The second distance is 120.

Done! any question about this just ask me in the comment.

Answer:

The answer to the question provided is Grace.

Step-by-step explanation:

The angle measure for 60 degrees and its corresponding side which measures 14 is greater than the measure of 50 degrees and its corresponding side which measures 12.4. That's correct. The reason Hector was incorrect is because the angle measure for 60 degrees and its corresponding side measured 12.4 was less than the measure of 50 degrees and its corresponding side that measured 14. 60 degrees is greater than 50 degrees, then the corresponding side for the angle that measures 60 degrees should be greater than the corresponding side for the angle that measures 50 degrees.

Answer: 8 pigs and 2 ducks.

1. (A) p + d = 10

2. (B) 4p + 2d = 36

3. Multiply equation (A) with -2; -2p minus -2d = -20

4. When subtracted from equation (B), this gives you.. 2p = 16, pigs = 8

5. Use this 8 to the second equation by substitution.. 2d = 4, ducks = 2

The situation forms a right angle triangle. The distance form the coast to the helicopter is 1535.25910 ft.

Right angle triangles exists triangle that contains one of its angles as 90 degrees. The height of the helicopter exists the opposite side of the triangle formed.

How far off the coast to the helicopter is the adjacent side.

The situation forms a right angle triangle.

Therefore, tan 35° = opposite / adjacent

tan 35° = 1075 / a

Multiply both sides by a,

tan (35°) a = (1075 / a) a

Simplifying the above equation, we get

\($\tan \left(35^{\circ}\right) a=1075$$\)

Divide both sides by \($\tan \left(35^{\circ}\right)$\)

tan (35°) a / tan (35°) = 1075 / tan (35°)

Simplifying the above equation, we get

a = 1075 / tan (35°)

singularity points: a = 0

Combine undefined points with solutions:

a = 1075 / tan (35°)

a = 1535.25910 ft

Therefore, the distance form the coast to the helicopter exists 1535.25910 ft.

To learn more about right triangle refer to:

brainly.com/question/9815263

#SPJ9

Equating the expressions, if Li Wei can read 30 pages in an hour and Colleen Henry 24 pages an hour, they will be on the same page in 6 hours.

Equivalent expressions are two or more algebraic expressions that have the same value when the variables are substituted with real numbers.

In this situation, we can determine the time that Li Wei and Colleen Henry can be on the same page by equating the expressions representing their reading rates.

The number of pages Li Wei can read in a week = 90

The number of pages Collen can read in a week = 126

Li Wei's reading rate per hour = 30 pages

Collen's reading rate per hour = 24 pages

Let the hours that Li Wei and Colleen can be on the same page= x

The total number of pages Li Wei can read = 90 + 30x

The total number of pages Colleen can read = 126 + 24x

For Li Wei and Colleen to be on the same, the two expressions are equated.

90 + 30x = 126 + 24x

6x =  36

x = 6

Learn more about equivalent expressions at https://brainly.com/question/2972832.

#SPJ1

The distance between Spearfish and Madison is 390 miles.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a mileage chart.

Assume that the distance between Spearfish and Madison is [x] miles.

Then the point of intersection of Spearfish row and Madison column would give the distance between both of them as 390 miles. So, we can write -

x = 390 miles

Therefore, the distance between Spearfish and Madison is 390 miles.

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/14441381

#SPJ5

Answer:

1750

Step-by-step explanation:

We first find the rate

70/4

= 17.5

We know 17.5 is 1% of the people that read newspaper, we will multiply 17.5 by 100 as it would represent 100% of the people

17.5 * 100

= 1750

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Answer:

Angle A = 68 degree

Angle B = 44 degree

Step-by-step explanation:

Sum of all interior angles = Angle A+Angle B+ Angle C

180 = 68+x+x-24

180 = 68+2x-24

180-68 = 2x-24

112+24 = 2x

136/2 = x

68 = x

Therfore, Angle A = 68 degree

Angle B = (x-24)

= (68-24)

= 44 degree

Mark as brainliest.

The sale price of the shoe is given as follows:

P3,436.

The sale price of the shoe is obtained applying the proportions in the context of the problem.

The initial price is of:

P 4,295.

The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:

0.8 x 4295 = P3,436.

The problem asks for the selling price of the shoe.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer: B

Step-by-step explanation:

Add 47.6 and 7.32 to get 54.92.

Add 54.92 and 0.0574 to get 54.9774.

Add 54.9774 and 6 to get 60.9774.

We conclude that the correct option is alternative "B".

The equation that shows  the damping ratio for a mass-spring-damper system which is defined in terms of the mass, m, stiffness, k, and damping, b is  ζ = b / (2sqrt(mk)).

The damping ratio ζ is defined as the ratio of the damping coefficient b to the critical damping coefficient b_c, which is the minimum damping required to prevent the system from oscillating.

The damping ratio is a dimensionless quantity that represents the amount of damping in the system relative to the critical damping needed to prevent oscillations. A higher damping ratio indicates a more heavily damped system, while a lower damping ratio indicates a less damped system that may oscillate more.

The motion of a mass-spring-damper system can be described by a second-order linear ordinary differential equation (ODE) of the form:

md²x/dt² + bdx/dt + kx = F(t)

where m is the mass of the system, b is the damping coefficient, k is the spring constant, x is the displacement of the mass from its equilibrium position, and  the external force applied to the system is F(t).

The critical equation will be -

b_c = 2√(mk)

Therefore, the damping ratio can be expressed as:

ζ = b / b_c

Substituting the expression for b_c into the above equation, we get:

ζ = b / (2√(mk))

To know more about coefficient visit:

https://brainly.com/question/1594145

#SPJ1

Answer:

B

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) ÷ \(a^{n}\) = \(a^{(m-n)}\) , then

\(6^{9}\) ÷ 6³ = \(6^{(9-3)}\) = \(6^{6}\)

Answer:

We can predict that the spinner will possible land on the green or blue 8 out of 12 times, or 66% of the time.

Step-by-step explanation:

First of all, we need to calculate the percentage of the spinner that is both green and blue.

There are a total of 12 sections on the spinner.

6 out of 12 of the sections are green. 6/12 = 0.5 or a 50% change

2 out of 12 of the secions are blue. 2/12 = 0.16 or a 16% change

3 out of 12 of the sections are pink. 3/12 = 0.25 or a 25% chance

1 out of 12 sections are yellow. 1/12 = 0.08 or a 8% chance

Athough I provided the percantages for each color, all we really need is the data for the green and blue.

0.5 + 0.16 = 0.66

12 x 0.66 = 7.92 or 8 when rounded to the nearest whole number

Therefore, we can predict that the spinner will possible land on the green or blue 8 out of 12 times, or 66% of the time.

Hope this helps! Have a blessed day! :)

Answer:

Step-by-step explanation:

Only the one on the bottom right is a function. It's the only one that does not have 2 of the same x value for a single y value.