4. Find 3 x 6.
3 × 6 = (2x 6) + (1 x 6)
3x6 = _ + _
3x6 =18

The correctanswer is-the percentage of the pieces that will meet the length specs is 98.78%.

The given data may be a random variable that takes after the normal distribution with mean μ=64 and standard deviation σ=0.1

The required value is to discover the rate of the pieces that will meet the length specs which is between 63.76 and 64.24 inches.

To find the required percentage, standardize the given limits as follows: Lower Limit: (63.76 - μ) / σ= (63.76 - 64) / 0.1 = -2.4

Upper Limit: (64.24 - μ) / σ= (64.24 - 64) / 0.1 = 2.4

Using the Standard Normal Distribution Table, the probability that the value will fall between -2.4 and 2.4 is found to be 0.9878.

The required percentage is then found by multiplying the probability by 100, which is: Percentage = 0.9878 x 100% = 98.78%

Therefore, the percentage of the pieces that will meet the length specs is 98.78%.

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Answer:

C. 17

Step-by-step explanation:

2 + 3n

= 2 + 3*5 ( Plug n = 5)

= 2 + 15

= 17

Answer:

\(\frac{8}{27}\) is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.

Step-by-step explanation:

In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:

Red: The player pulls out a red tile first. This has a \(\frac{1}{9}\) probability of happening. Then in order to succeed for the problem, the next tile also needs to be red which has a \(\frac{6}{12}\) probability attached to it. \(\frac{1}{9}\) × \(\frac{6}{12}\)=\(\frac{1}{18}\) probability of happening.

Green: There is a \(\frac{5}{9}\) probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be \(\frac{4}{12}\). \(\frac{5}{9}\)×\(\frac{4}{12}\)=\(\frac{5}{27}\).

Blue: There is a \(\frac{3}{9}\) probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is \(\frac{2}{12}\) on its own, and them both being blue is  \(\frac{3}{9}\)×\(\frac{2}{12}\)=\(\frac{1}{18}\)

Adding \(\frac{1}{18}\)+\(\frac{1}{18}\)+\(\frac{5}{27}\) we get the answer \(\frac{8}{27}\).

Answer:

6 + -15? That does equal -9.

Answer:

average speed is distance/time

1. 80km/50 minutes (0.833 hour)= 96km/hour

2. 270km/(time between 13:10 and 15:25 (2hr 15mins)) = 120km/hr

3. difference is 120km/hr - 96km/hr = 24km/hr faster

Answer:

0<x<12

Step-by-step explanation:

These signs < should have a line under it btw

The total distance, total elevation gain and loss, the presence of steep sections, and the overall difficulty of the trail. A essential to take into account factors such as weather conditions, available daylight, and your own fitness level and experience before embarking on any hiking adventure.

An elevation graph typically displays the elevation of a trail along the horizontal axis (usually representing the distance traveled) and the corresponding elevation on the vertical axis. As the hiker progresses along the trail, the elevation changes, creating peaks and valleys on the graph.

Horizontal Axis (Distance Traveled): The horizontal axis represents the distance traveled along the trail. It starts from the beginning of the trail and extends to the end. The scale may vary, but it usually indicates the total length of the trail.

Vertical Axis (Elevation): The vertical axis represents the elevation above sea level. It shows the changes in elevation as the hiker moves along the trail. The scale may vary based on the range of elevations in the region.

Elevation Profile: The line or curve on the graph represents the elevation profile of the trail. Peaks on the graph indicate uphill sections, while valleys represent downhill sections.

Steepness: The steepness of the trail can be inferred from the slope of the elevation profile. A steeper slope indicates a more challenging climb or descent, while a gentler slope represents a more gradual incline or decline.

High Points and Low Points: Peaks on the graph correspond to high points or summits along the trail, while valleys indicate low points or depressions.

Flat Sections: If there are any flat sections along the trail, the elevation graph would show a relatively constant elevation during those parts.

Trail Difficulty: By analyzing the elevation graph, hikers can get an idea of the trail's difficulty. Consistent steep inclines suggest a more strenuous hike, while gentle slopes or flat sections may indicate an easier trail.

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The values of x for which the function f(x) = x³ + 3x² - 9x + 7 is increasing are (-∞, -3) and (1, +∞).

To find the values of x for which the function f(x) = x³ + 3x² - 9x + 7 is increasing, we need to take the derivative of the function and determine where the derivative is positive.

f(x) = x³ + 3x² - 9x + 7

f'(x) = 3x² + 6x - 9

To find where f(x) is increasing, we need to find the values of x where f'(x) > 0.

3x² + 6x - 9 > 0

Simplifying this inequality, we get

x² + 2x - 3 > 0

Factoring the left side of the inequality, we get

(x + 3)(x - 1) > 0

The critical points of f(x) occur when f'(x) = 0 or when the denominator of f'(x) is undefined. The denominator of f'(x) is always defined, so we only need to find where f'(x) = 0

3x² + 6x - 9 = 0

Dividing both sides by 3, we get

x² + 2x - 3 = 0

Factoring the left side of the equation, we get

(x + 3)(x - 1) = 0

So the critical points of f(x) are x = -3 and x = 1.

Now we can use a sign chart to determine the intervals where f'(x) > 0.

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The given question is incomplete, the complete question is:

What are all values of x for which the function f is defined by f(x)= x³ +3x² -9x +7 is increasing?

The probability that the randomly selected student exactly likes exactly one of the three types is 0.72

It is a branch of mathematics. It is used to concern numerical descriptions to occur an event. Theoretical probability, Experimental probability, Axiomatic probability are the three types of probability we have. Probability can be expressed in proportions. Probability deals in finding the occurrence of an event. The theoretical probability is based on possible chances of something that happen. Probability refers to the term synonymously as a possibility. The probability that is based on series of experiments is known as Experimental probability. The set of axioms which are applied to all the types of probability is known as Axiomatic probability.

Number of persons who likes rock music be R

Number of persons who likes Country music be C

Number of persons who likes Jazz music be J

R = 206

C = 158

J = 119

R ∩ C = 26 - 7 = 19

R ∩ J = 27 - 7 = 20

C ∩ J = 19 - 7 = 12

R ∩ C ∩ J = 7

Thus, number that liked only jazz music is;

n(only jazz) = J - [(R ∩ J) + (C ∩ J) + (R ∩ C ∩ J)]

n(only jazz) = 119 - (20 + 12+ 7)

n(only J) = 119-39=80

Number of students that liked only Rock music;

n(only Rock) = R - [(R ∩ C) + (R ∩ J) + (R ∩ C ∩ J)]

n(only Rock) = 206 - (19 + 20 + 7)

n(only R) = 206-46=160

Number of students that liked only country music;

n(only country) = C - [(R ∩ C) + (C ∩ J) + (R ∩ C ∩ J)]

n(only country) = 158- (19 + 12 + 7)

n(only C) = 158-38=120

The probability that the randomly selected student exactly likes exactly one of the three types is,

P= (80+160+120)/500

P=360/500

P=0.72

Therefore, the probability is 0.72.

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Answer:

C= 3g

Step-by-step explanation:

Answer:

-3.5 and -0.5

Step-by-step explanation:

Answer:

f ≥ 1.6

Step-by-step explanation:

I am also learning this in school rn :)

To carry out the Z test and calculate the 99% confidence interval for each study, we'll follow the five steps of hypothesis testing:

Step 1: State the hypotheses:

The null hypothesis (H0) assumes that there is no significant difference between the sample and population means.

The alternative hypothesis (H1) assumes that there is a significant difference between the sample and population means.

Step 2: Formulate an analysis plan:

We'll perform a two-tailed Z test at the 0.01 level of significance.

Step 3: Analyze sample data:

Let's calculate the Z statistic and the 99% confidence interval for each study.

For study A:

H0: µ = 10 (population mean)

H1: µ ≠ 10

Z = (X - µ) / (σ / √N)

Z = (12 - 10) / (2 / √50)

Z = 2 / 0.2828

Z ≈ 7.07

The critical Z-value for a two-tailed test at the 0.01 level is ±2.58 (from the Z-table).

The 99% confidence interval:

CI = X ± Z * (σ / √N)

CI = 12 ± 2.58 * (2 / √50)

CI ≈ 12 ± 0.7254

CI ≈ (11.2746, 12.7254)

For study B:

H0: µ = 10 (population mean)

H1: µ ≠ 10

Z = (X - µ) / (σ / √N)

Z = (12 - 10) / (2 / √100)

Z = 2 / 0.2

Z = 10

The critical Z-value for a two-tailed test at the 0.01 level is ±2.58 (from the Z-table).

The 99% confidence interval:

CI = X ± Z * (σ / √N)

CI = 12 ± 2.58 * (2 / √100)

CI ≈ 12 ± 0.516

CI ≈ (11.484, 12.516)

For study C:

H0: µ = 12 (population mean)

H1: µ ≠ 12

Z = (X - µ) / (σ / √N)

Z = (12 - 12) / (4 / √50)

Z = 0 / 0.5657

Z ≈ 0

The critical Z-value for a two-tailed test at the 0.01 level is ±2.58 (from the Z-table).

The 99% confidence interval:

CI = X ± Z * (σ / √N)

CI = 12 ± 2.58 * (4 / √50)

CI ≈ 12 ± 1.1508

CI ≈ (10.8492, 13.1508)

For study D:

H0: µ = 14 (population mean)

H1: µ ≠ 14

Z = (X - µ) / (σ / √N)

Z = (12 - 14) / (4 / √100)

Z = -2 / 0.4

Z = -5

The critical Z-value for a two-tailed test at the 0.01 level is ±2.58 (from the Z-table).

The 99% confidence interval:

CI = X ± Z * (σ / √N)

CI = 12 ± 2.58 * (4 / √100)

CI ≈ 12 ± 1.032

CI ≈ (10.968, 13.032)

Step 4: Determine the decision rule:

If the absolute value of the Z statistic is greater than the critical Z-value (2.58), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Step 5: Make a decision:

Based on the Z statistics calculated for each study, we compare them to the critical Z-value of ±2.58. Here are the results:

- For study A: |Z| = 7.07 > 2.58, so we reject the null hypothesis. There is a significant difference between the sample mean and the population mean.

- For study B: |Z| = 10 > 2.58, so we reject the null hypothesis. There is a significant difference between the sample mean and the population mean.

- For study C: |Z| = 0 < 2.58, so we fail to reject the null hypothesis. There is no significant difference between the sample mean and the population mean.

- For study D: |Z| = 5 > 2.58, so we reject the null hypothesis. There is a significant difference between the sample mean and the population mean.

Note: The drawing of the distribution involved in each study would be a normal distribution curve, but I'm unable to provide visual illustrations in this text-based format.

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Answer:

-24

Step-by-step explanation:

First find f(3), which is the value of the blue line when x =3

f(3) = -2

Then find g(-1) which is the value of the red line when x= -1

g(-1) = 6

-6 f(3) - 6*g(-1)

-6*-2 - 6(6)

12 - 36

-24

Answer: 5 s

Step-by-step explanation:

Given

Height of the rocket can be modelled as \(h=80-16t^2\)

Rocket will land on earth when it's height becomes 0

\(\Rightarrow 80t-16t^2=0\\\Rightarrow t(80-16t)=0\\\\\Rightarrow t=0\ \text{or}\ t=\dfrac{80}{16}=5\ s\)

Neglecting 0 value

Thus, rocket remains in air for 5 s.

Answer:

Can't be answered, as written.

Step-by-step explanation:

Please check the equations.  As written, they are the same:

y=2x-4 and 6x-3y=12

The second, 6x-3y=12, can be rewritten:

-3y = -6x + 12

y = 2x - 4   is the same as the first equation.

========

I'll do an example based on a different first equation.  Let's try:

y = 4x-4 and 6x-3y=12

There are two equations and 2 unknowns.  We can solve this in either of two ways:  Mathematically and Graphically.  Let's try both.

Mathematically.

Pick either equation and isolate one of the variables (x or y)

I'll chose the first, since the variable y is already isolated.  (the efficient approach)

y = 4x-4

Take the second equation and use the definition of y provided by the first equation in place of y is the second:

6x-3y = 12

6x-3(4x-4) = 12  [Substituted the value of y given in the first equation]

6x - 12x + 12 = 12

-6x=0

  x= 0

Use x = 0 in either equation to find y:

y = 4x-4

y=4*(0)-4

y = -4

The solution (where the lines intersect) is (0,-4)

We can also solve this graphically.  

Plot the two lines and look for their intersection.  The attached graph shows that to be (0,-4).

Answer:

Hello,

Answer d

Step-by-step explanation:

Since x=y then 3v-1=2v+6 ==> v=7

Answer d

Answer: 18a+42b-6

Step-by-step explanation:

Simplifying means combining like terms

so 36a and -18a can simplify  to 18a

and the rest you can't simplify so

18a+42b-6

If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.

To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.

Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.

For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.

Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.

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Complete question is:

Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?

The option that represents the first step is x² + 4x = -3

The equation is given as:

x² + 4x + 3 = 0

The first step is to isolate the constant.

So, we have:

x² + 4x = -3

Hence, the option that represents the first step is x² + 4x = -3

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The triangle ABC is equal to triangle ADE by Angle-Angle-Side theorem.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

In triangle ABC and ADE -

It can be seen that ∠B = ∠E.

Also the line segment AB is equal to line segment AE.

AB = AE

The angles ∠BAC and ∠DAE are vertically opposite to each other.

So, they are also equal.

∠BAC = ∠DAE

Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

Therefore, Δ ABC ≅ Δ ADE according to AAS theorem.

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Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

When flipping a fraction it is called the reciprocal  

Step-by-step explanation:

The sign before the blank is "+" (Example: +300). (b) The value of the portfolio with European put options increases as the stock price decreases, providing a protective benefit to the overall portfolio.

The sign before the blank is "+" (Example: +300).

(b) The value of the portfolio with European put options increases as the stock price decreases. The put options provide a protective benefit to the portfolio, as they allow the holder to sell the stock at a predetermined price (strike price).

When the stock price is below the strike price, the put options become valuable as they enable the investor to sell the stock at a higher price than the market value. However, if the stock price is above the strike price, the put options have no value and do not contribute to the portfolio's overall worth.

Therefore, the benefit of the put options is realized when the stock price is below the strike price, and it diminishes as the stock price rises above the strike price.

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\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)

The cost of the chef's new floor is $792

The formula for calculating the area of a rectangle is expressed as;

A = lw

Such that the parameters are;

From the information given, we have that;

The kitchen measures 8 meters wide and 11 meters long,

Then, substitute the values, we have;

Area = 11(8)

multiply the values, we have;

Area = 88 square meters

If 1 square meter = $9

Then 88 square meters =x

x = $792

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(a) It needs to be determined whether the code C, generated by the polynomial g(x) = x^3 + 1, is cyclic. (b) The number of code words in C is also sought.

(a) To determine if the code C is cyclic, we need to check if g(x) divides x^N + 1, where N is the code length. If g(x) divides x^N + 1, then the code is cyclic.

(b) The number of code words in C can be calculated using the formula 2^k, where k is the number of information bits. In this case, k is equal to the degree of g(x).

For the given polynomial g(x) = x^3 + 1, we need to check if it divides x^N + 1. If it does, then C is cyclic. Additionally, the number of code words in C can be calculated by finding the degree of g(x) and using the formula 2^k.

It is important to note that further calculations and analysis are required to provide specific answers to whether C is cyclic and the number of code words in C based on the given polynomial g(x) = x^3 + 1.

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Answer is : vertical angles theorem

LETTER D

Answer:

D

Step-by-step explanation: