Tallulah's family took a road trip to the Grand Canyon. Tallulah slept for the last 129 miles of the trip. If the total length of the trip was 300 miles, what percentage of the total trip had they traveled when Tallulah fell asleep?

Answer:

Electrons

Step-by-step explanation:

Protons have a positive charge. Electrons have a negative charge. Neutrons have no charge. When there is an equal number of protons and electrons in an atom, the charges cancel out and the atom is neutral.

Answer:

i give you a math question whats me +you

You would reject the null hypothesis for a p-value of 0.08 and 0.05. So, the correct answer for rejection is a) and c).

A significance level of 10% means that the probability of rejecting the null hypothesis when it is actually true is 10%. This probability is also known as the Type I error rate.

If the p-value is less than or equal to the significance level, then we reject the null hypothesis. In this case, the significance level is 10%, so we would reject the null hypothesis for p-values less than or equal to 0.1.

Therefore, we would reject the null hypothesis for the p-value of 0.08 and 0.05, as they are less than or equal to the significance level of 10%. However, we would not reject the null hypothesis for the p-value of 0.89 and 0.11, as they are greater than the significance level.

So, the option a) and c) are rejected.

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Considering that it has only positive probabilities, and the sum of the probabilities is of 1, the table that shows a probability distribution is given by:

X 0 1 2 3

P 0.1 0.5 0.3 0.1

A table is formed by a set of points (x, P(x)), and represents a probability distribution if:

In this problem:

Hence, the table that represents a probability distribution is given as follows:

X 0 1 2 3

P 0.1 0.5 0.3 0.1

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There are no middle planes for a given tetrahedron. This is because a tetrahedron is a three-dimensional figure with four faces, each of which is a triangle. Each of the four vertices of a tetrahedron is equidistant from one of the faces, but not from any of the other three faces. Therefore, there are no planes that are equidistant from all four vertices of a tetrahedron.

To further explain, let's consider the four distances from the vertices A, B, C, and D to a plane P. If all four distances are the same, then the plane P must be equidistant from all four vertices. However, this is not possible in a tetrahedron because each vertex is closer to one face than it is to the other three faces. Therefore, there are no middle planes in a tetrahedron.

In conclusion, there are no middle planes for a given tetrahedron because each vertex is closer to one face than it is to the other three faces.

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The value of angle ∠AEF or ∠x is 80°.

So,

Then,

Now,

Therefore, the value of angle ∠AEF or ∠x is 80°.

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Answer:

11494.04cm³

Step-by-step explanation:

Volume of a sphere

V = 4/3πr³

you got a diameter of 28cm, so half of taht is the radius.

r = 14cm

plug in and solve

V = 4/3πr³

= 4/3π(14)³

= 11494.04cm³

A change in consumption expenditure would: Cause a shifting of the aggregate demand curve.

A change in consumption expenditure has a significant impact on the aggregate demand curve. Consumption expenditure refers to the amount of money spent by households on goods and services. When there is a change in consumption expenditure, it affects the total demand for goods and services in the economy. An increase in consumption expenditure leads to a higher aggregate demand, causing the aggregate demand curve to shift to the right. This indicates that at any given price level, the total quantity of goods and services demanded by households, businesses, government, and net exports has increased. Conversely, a decrease in consumption expenditure results in a lower aggregate demand, shifting the aggregate demand curve to the left. Consequently, a change in consumption expenditure directly influences the overall level of economic activity and output.

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The solutions of the equation cos(π/2-θ)=cscθ in the interval 0≤θ<2π are θ = 30° and θ = 150°. To solve the equation, we can first write cscθ as 1/sinθ. Then, we can use the angle subtraction formula for cosine to rewrite the left-hand side of the equation as cosθsin(π/2-θ).

We can then divide both sides of the equation by sinθ to get cosθ = 1/sin(π/2-θ). This equation is true when θ = 30° or θ = 150°.

The first solution, θ = 30°, is in the interval 0≤θ<2π. The second solution, θ = 150°, is also in the interval 0≤θ<2π.

Therefore, the solutions of the equation cos(π/2-θ)=cscθ in the interval 0≤θ<2π are θ = 30° and θ = 150°.

The equation cos(π/2-θ)=cscθ can be rewritten as

cosθsin(π/2-θ) = 1/sinθ

Using the angle subtraction formula for cosine, we can write the left-hand side of the equation as

cosθsin(π/2-θ) = cosθ(1 - cosθ)

Dividing both sides by sinθ, we get

cosθ(1 - cosθ) = 1

This equation is true when θ = 30° or θ = 150°.

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Answer:

3.4

Step-by-step explanation:

both angles are equal, i.e 16x - 9 = 45.

the value of x is 3.375

Answer:

The value of x is 9.

Step-by-step explanation:

i used the equation (16x-9) + 45 = 180

1. i added -9 +45 i got 36

2. 16x + 36 = 180

3. i subtract 36 from 36 and 180

4. 16x=144

5. i divide 16 from 16x and 144

6. x=9

I hope this helped! :)

Answer:

39%

Step-by-step explanation:

83-last price

83 last price

100 x ?

100 * last price = 83 . x

x= 39

Answer:

y = G(x) = 6, when x = -4

y = G(x) = -2, when x = 3

Step-by-step explanation:

From the attached graph tracing the first point to the graph and then to x axis.

y = G(x) = 6

as shown on the attachment(by the thick line)

y = G(x) = 6, when x = -4

From the attached graph tracing the second point to the graph and then to x axis.

y = G(x) = -2

as shown on the attachment(by the thin line)

y = G(x) = -2, when x = 3

The probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.

If the average number of units rented per week is 2.3 and the distribution is Poisson, then the parameter lambda is also equal to 2.3.

The probability of renting exactly three apartments in a week is given by the Poisson probability function:

\(P(X = 3) = (e^(-lambda) * lambda^x) / x!\)

Substituting the values, we get:

\(P(X = 3) = (e^(-2.3) * 2.3^3) / 3!\)

P(X = 3) = (0.09963 * 12.167) / 6

P(X = 3) = 0.2018

Therefore, the probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.

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Answer:

the answer is table d 12 =12+34=4

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Let the number of 2 point shots be t.

Let the number of 3 point shots be h.

Allison made 87 shots and scored 191 total points. This implies two things:

t + h = 87 ________(1)

2t + 3h = 191 ______(2)

Let us eliminate t by multiplying (1) by 2 and subtracting from (2):

=> 2t + 3h = 191

 -  2t + 2h = 174

               h  = 17

Therefore, she made 17 three point shots.

Answer:

1, 2 and 3  (I, II and III)

Step-by-step explanation:

Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.

The y intercept is 1

the x intercept is:  

0 = 3x + 1

x = 1/3

Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III.  Graph the equation to prove this.  

The original series also converges.

To use the limit comparison test to determine if the series converges or diverges, we first need to find a simpler series that has a similar form to the given series. In this case, the given series is:

\(Σ (4√n / (9n^(3/2) - 10n - 3)) from n = 1 to ∞\)
We can compare it with the simpler series:

\(Σ (4√n / 9n^(3/2)) from n = 1 to ∞\)

Now, let's find the limit of the ratio of the terms of these two series as n approaches infinity:

\(lim (n -> ∞) [(4√n / (9n^(3/2) - 10n - 3)) / (4√n / 9n^(3/2))]\)
Simplify the expression:

\(lim (n -> ∞) [(9n^(3/2) - 10n - 3) / 9n^(3/2)]\)

As n approaches infinity, the highest power term (9n^(3/2)) dominates, so we can ignore the other terms:

\(lim (n -> ∞) [9n^(3/2) / 9n^(3/2)] = 1\)

Since the limit is a finite number greater than 0, the comparison series and the original series have the same convergence behavior. The comparison series is a p-series with p = 3/2 > 1, so it converges. Therefore, the original series also converges.

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Answer:

Step-by-step explanation:

Correct option is A

A statement which best describes the function that represents the situation include the following: A) It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.

In Mathematics and Geometry, a linear function refers to a type of function whose equation is graphically represented by a straight line on the xy-plane or cartesian coordinate.

This ultimately implies that, a linear function has the same (constant) slope or ratio of change and it is typically used for uniquely mapping an input variable to an output variable, which both increases simultaneously.

In this context, we have the following linear function;

F = 0.75x

where:

F represents the final cost in dollars.

x represents the price on the tag in dollars.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

2.5 kg is equal to 5.51156 pounds and 88.18496 ounces.

Weight is a measure of how heavy an object is, and it is typically measured in units such as pounds (lbs) and ounces. The kilogram (kg) is also a unit of weight, and it is the base unit of mass in the International System of Units (SI).

To convert 2.5 kg to pounds and ounces, we first need to understand the relationship between these units. One kilogram is equal to approximately 2.20462 pounds. So, to convert 2.5 kg to pounds, we can multiply 2.5 by 2.20462, which gives us approximately 5.51156 pounds.

To convert the pounds to ounces, we know that 1 pound is equal to 16 ounces. To get the ounces from pounds, we can multiply the pounds by 16, so 5.51156 pounds is equal to 88.18496 ounces.

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Looking at the plot we could roughly draw a line between the points.

This would would have a positive slope. so the association would be linear and positive.

Matrix factorization is a method that reduces the dimensionality of a rating matrix, revealing latent factors and enabling clustering in recommendation systems and data analysis.

Matrix factorization is a popular technique used in recommendation systems and data analysis. Its basic intuition lies in decomposing a large rating matrix into lower-dimensional matrices, allowing for better understanding and utilization of the underlying data.

One key intuition is that matrix factorization provides a way to represent users and items in a shared low-dimensional space. By factorizing the rating matrix, we can identify latent factors or features that capture the preferences and characteristics of both users and items. These factors can be computed from the rating matrix and enable a compact representation of the data.

Another insight is that matrix factorization allows for clustering of users and items. By factoring the user and item matrices, we can partition them into clusters based on similar characteristics. This clustering enables us to treat users or items within the same cluster identically, reducing computational complexity and making recommendations more efficient by retaining representative users or items in each cluster.

Furthermore, matrix factorization reveals that content filtering and collaborative filtering are two different factorizations of the same rating matrix. Content filtering focuses on the attributes of items, while collaborative filtering analyzes user-item interactions. By factorizing the matrix, we can bridge the gap between these two approaches and gain a more comprehensive understanding of the data.

Therefore, the basic intuition behind matrix factorization lies in finding a lower-dimensional representation of the rating matrix, identifying latent factors, enabling clustering of users and items, and providing a shared space to describe them. This technique proves valuable in recommendation systems, data analysis, and uncovering hidden patterns within complex datasets.

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Answer:

if youre talking about line OA, it is

x - 2y =0

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y=\stackrel{\stackrel{m}{\downarrow }}{2}x+1\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{2\implies \cfrac{2}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}\)

so we're really looking for the equation of a line with a slope of -1/2 and that it passes through (4 , 6)

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{- \cfrac{1}{2}}(x-\stackrel{x_1}{4}) \\\\\\ y-6=- \cfrac{1}{2}x+2\implies {\Large \begin{array}{llll} y=- \cfrac{1}{2}x+8 \end{array}}\)