Question 3: Choose the correct unit*
1 point
(5.MD.1)
Measurement Unit
What would you use to measure the
length of a road?
s
a) Meters
b) Centimeters
c) Kilometers
d) Millimeters
А A
B
С

Answer:

480\(\sqrt{3}\)

Step-by-step explanation:

4\(\sqrt{3}\) · 10\(\sqrt{4}\)\(\sqrt{3}\) · \(\sqrt{3}\)\(\sqrt{2}\) · \(\sqrt{2}\) = 4 · 10\(\sqrt{4}\)\(\sqrt{3}\)\(\sqrt{3}\)\(\sqrt{3}\)\(\sqrt{2}\)\(\sqrt{2}\)

= 40 · 2 · 3 · 2 · \(\sqrt{3}\)

= 480\(\sqrt{3}\)

To find how many cubic feet we need to find the volume of the flower bed. The volume is given by:

where B is the area of the base and h is the height.

In this case the height would be 3 inches (0.25 ft) and the area of the base is:

Therefore the volume is:

Hence we need 4.5 cubic feet of mulch

In the given graph, the coordinates of the vertex of the parabola is,

(h, k)=(6, 64)

The given parabola is open downwards.

The vertex form of a parabola openingupwards or downwards is given by,

Here, a is a constant and (h, k) are the coordinates of the vertex of the parabola.

If a>0, parabola opens upwards and if a<0, theparabola opens downwards.

(x,y)=(14,0) is a point on the given parabola. So, put x=14, y=0 h=6 and k=64 in the above equation to find the value of a.

Now, put the values of a, h and k in equation (1).

Now, rewriting the above equation,

Therefore, the equation of parabola is,

The cost of 1 shirt and 1 jeans are respectively $44.20 & $6.70.

In geometry, A system of equations is a collection of two or more equations with the same set of unknown variables. In solving a system of equations, we try to calculate values for each of the unknowns that will satisfy each and every equation in the system.

From the first piece of information, we know that:

3s + 2j = 146

From the second piece of information, we know that:

2s + 5j = 211

We can solve for s and j by using the substitution method.

Let's solve for s in the first equation:

3s + 2j = 146

3s = 146 - 2j

s = (146 - 2j)/3

Now we can substitute this expression for s into the second equation and solve for j:

2s + 5j = 211

2((146 - 2j)/3) + 5j = 211

292/3 - 4j/3 + 5j = 211

(11j/3) = 221/3

j = 221/33

j = 6.6969697

Now that we have the value of j, we can substitute it back into one of the original equations to solve for s:

3s + 2j = 146

3s + 2(6.6969697) = 146

3s + 13.3939394 = 146

3s = 132.6060606

s = 44.2020202 (rounded to 9 decimal places)

Therefore, 1 shirt costs $44.20 and 1 jean costs $6.70.

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Answer:

oh no that's tough bro

hope you get through

Answer:4

Step-by-step explanation:

To find the volume of the given solid using polar coordinates, we integrate the function over the appropriate range of values for the radial coordinate and the angle.

The given solid consists of a cone and a ring in the xy-plane. The cone is defined by the equation z = √(x² + y²), which represents a right circular cone with its vertex at the origin and opening upwards. The ring is defined by the inequality 1 ≤ x² + y² ≤ 64, which represents a circular region centered at the origin with an inner radius of 1 unit and an outer radius of 8 units.

To evaluate the volume using polar coordinates, we can express the equations in terms of the radial coordinate (r) and the angle (θ). In polar coordinates, the cone equation becomes z = r, and the ring equation becomes 1 ≤ r² ≤ 64. To set up the integral, we need to determine the range of values for r and θ. For the radial coordinate, r ranges from 1 to 8, as that corresponds to the region defined by the ring. For the angle θ, we can integrate from 0 to 2π, covering a full revolution around the origin.

The volume integral is then given by V = ∫∫∫ r dz dr dθ over the region defined by 1 ≤ r² ≤ 64 and 0 ≤ θ ≤ 2π. By evaluating this triple integral, we can find the volume of the solid.

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Answer:

look it up

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

:)

The probability that a student scored greater than 66 is approximately 0.9938, assuming a normal distribution.

We can use the standard normal distribution to find the probability that a student scored greater than 66. To do this, we first need to standardize the score using the formula:

z = (x - μ) / σ

where x is the score we're interested in (66), μ is the population mean (78), and σ is the population standard deviation (7).

Plugging in the values, we get:

z = (66 - 78) / 7 = -1.71

Using a standard normal distribution table or a calculator, we can find the probability that a z-score is greater than -1.71, which is approximately 0.9938. Therefore, the probability that a student scored greater than 66 is approximately 0.9938.

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Step-by-step explanation:

PRIMERO ENCUENTRAS EL RADIO

r = 14.13 in/2(3.14) = 2.25 in

LUEGO EL ÁREA

A = 3.14\((2.25 in)^{2}\) = \(15.90 in^{2}\)

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

-½ + (root2 / 2) i + root½ i

Step-by-step explanation:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - cb}{bd} \)

I used this formula to do it but let me know if it's enough or you have to simplify it further

Answer:

45

Step-by-step explanation:

The number of Blu-ray discs stored on a computer with a 4TB capacity will be 82.

The technology used to store digital data on computers and recording media is known as computer data storage. It is a key feature and essential part of computers. A computer's central processor unit manipulates data by carrying out calculations.

Given that a dual-layer Blu-ray disc can store 50 GB of data. The number of the Blu-ray disc will be calculated as below:-

1 TB = 1024 GB

4 TB = 4 x 1024 GB = 4096GB

Number of 50GB Blu-ray disc = 4096 / 50 = 82

Therefore, the number of Blu-ray discs stored on a computer with a 4TB capacity will be 82.

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It's difficult to say whether the conditions for constructing a t-confidence interval are met based on the information provided. To construct a t-confidence interval, three conditions must be met:

The sampling method must be random. It's not specified in the problem whether the method of selecting the vehicles was random or not, so it's impossible to say whether this condition is met.

The sample size must be large enough. A sample size of 100 vehicles is considered to be large enough for the normal/large sample condition to be met.

The population must be approximately normally distributed or the sample size must be large. Since the problem does not specify anything about the distribution of the population, it is not clear if this condition is met.

Given that the information provided does not give enough details to state whether the conditions for constructing a t-confidence interval are met or not.

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The variance of (X + Y)/2 is 5/9. The variance of a random variable is defined as E[(X - E[X])^2], where E[X] is the expected value of the random variable.

We are given the joint probability density function of X and Y as f(x,y) = (x+y)/8 for 0 < x < 2 and 0 < y < 2.

We need to find the variance of (X + Y)/2.

Let Z = (X + Y)/2. Then, the expected value of Z is:

E[Z] = E[(X + Y)/2] = E[X]/2 + E[Y]/2

We can find E[X] and E[Y] as follows:

E[X] = ∫∫x f(x,y) dxdy = ∫∫x(x+y)/8 dxdy

= ∫0²∫0²x(x+y)/8 dydx = 2/3

Similarly, E[Y] = 2/3.

Therefore, E[Z] = 2/3.

Now, we need to find E[Z^2]:

E[Z^2] = E[(X + Y)^2/4] = E[X^2]/4 + E[Y^2]/4 + E[XY]/2

We can find E[X^2], E[Y^2], and E[XY] as follows:

E[X^2] = ∫∫x^2 f(x,y) dxdy = ∫0²∫0²x^2(x+y)/8 dydx = 2

E[Y^2] = ∫∫y^2 f(x,y) dxdy = ∫0²∫0²y^2(x+y)/8 dydx = 2

E[XY] = ∫∫xy f(x,y) dxdy = ∫0²∫0²xy(x+y)/8 dydx = 1/2

Therefore, E[Z^2] = (2/4) + (2/4) + (1/4) = 1.

Finally, we can find the variance of Z as:

Var(Z) = E[Z^2] - E[Z]^2 = 1 - (2/3)^2 = 5/9.

Therefore, the variance of (X + Y)/2 is 5/9.

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The measure of the arc angle QTP is equal to 316° using the secant tangent angle.

The secant tangent angle is the angle formed by a tangent and a secant that intersect outside of a circle. The measure of the secant tangent angle can be found using the following formula:

θ = 1/2 (arc EB - arc BD)

where arc EB and arc BD are the measures of the arcs intercepted by the secant and tangent, respectively.

m∠QRT = 1/2(arc TSP - arc QT)

90 = 1/2(arc TSP - 68)

180 = arc TSP - 68 {cross multiplication}

arc TSP = 180 + 68

arc TSP = 248°

arc QTP = arc TSP + arc QT

arc QTP = 248 + 68

arc QTP = 316°

Therefore, the measure of the arc angle QTP is equal to 316° using the secant tangent angle.

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Answer:

1. Fact that all individuals are created equal and are endowed by their creator with certain unalienable rights is a clear statement in the Declaration of Independence.

2. Aim of having a government is to safeguard these rights,  the people have the right and the duty to alter, abolish, or over through that government.

3. The Decoration of Independence lists the grievances that the government has failed to resolve and reconcile with the colonies.

4. The decree was made to become an autonomous nation and the motives for asserting independence are listed in the grievances.

(a) The probability that all 11 women dislike their mother-in-law is approximately 0.209.

(b) The probability that none of the 11 women dislike their mother-in-law is approximately 0.002.

(c) The probability that at least nine of the 11 women dislike their mother-in-law is approximately 0.995.

(d) The probability that no more than eight of the 11 women dislike their mother-in-law is approximately 0.996.

This problem can be approached using the binomial distribution, which models the number of successes in a fixed number of independent trials with the same probability of success.

Let p be the probability that a randomly chosen married woman dislikes her mother-in-law, based on the sociologists' claim. Then, we have p = 0.8.

(a) To find the probability that all 11 women dislike their mother-in-law, we can use the binomial distribution with n = 11 and p = 0.8:

P(X = 11) = (11 choose 11) × 0.8^11 × 0.2^0 ≈ 0.209

(b) To find the probability that none of the 11 women dislike their mother-in-law, we can use the binomial distribution again

P(X = 0) = (11 choose 0) × 0.8^0 × 0.2^11 ≈ 0.002

(c) To find the probability that at least nine of the 11 women dislike their mother-in-law, we can use the complement rule and find the probability that fewer than nine dislike their mother-in-law

P(X < 9) = P(X = 0) + P(X = 1) + ... + P(X = 8)

Using the binomial distribution for each term, we get

P(X < 9) ≈ 0.005

Therefore, the probability that at least nine of the 11 women dislike their mother-in-law is approximately 1 - 0.005 = 0.995.

(d) To find the probability that no more than eight of the 11 women dislike their mother-in-law, we can again use the binomial distribution and add up the probabilities of X = 0, 1, ..., 8:

P(X ≤ 8) = P(X = 0) + P(X = 1) + ... + P(X = 8)

Using the binomial distribution for each term, we get

P(X ≤ 8) ≈ 0.996

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Path A as it has a shorter distance and higher average walking rate, resulting in reaching the campsite in the least amount of time.

To determine the path that will get you to the campsite in the least amount of time, you need to consider the total distance, average walking rate, and total time for each path.

First, calculate the time it takes to walk each path by dividing the total distance by the average walking rate. Let's say Path A is 3 miles long and you walk at an average rate of 4 miles per hour, while Path B is 2.5 miles long and you walk at an average rate of 3 miles per hour.

For Path A:

Time = Distance / Rate = 3 miles / 4 miles per hour = 0.75 hours

For Path B:

Time = Distance / Rate = 2.5 miles / 3 miles per hour = 0.83 hours

Comparing the times, you can see that Path A takes less time (0.75 hours) compared to Path B (0.83 hours). Therefore, you should choose Path A to reach the campsite in the least amount of time.

Therefore, considering the total distance, average walking rate, and resulting time, Path A is the optimal choice for reaching the campsite in the least amount of time.

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Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is \(\frac{4}{3}\pi r^{3}\).

To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.

Plug in your numbers to the volume equation to get \(\frac{4}{3} (3.14)(4^3)\). The first step is to cube 4 (4*4*4) to get 64. Now your equation is \(\frac{4}{3}(3.14)(64)\).

Multiply 3.14 and 64 to get 200.96. The equation is now \(\frac{4}{3}(200.96)\) or \(\frac{4}{3} * \frac{200.96}{1}\).

Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of \(\frac{803.84}{3}\).

Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.

A 1992 study of bull terriers found the following: (i) 50% of the studied bull terriers are white. (ii) 11% of the studied bull terriers are deaf. (iii) 20% of the white bull terriers are deaf. The probability that a randomly chosen bull terrier is white and deaf is 0.1, or 10%.

To find the probability that a randomly chosen bull terrier is white and deaf, we can use the given information from the study:
(i) 50% of the studied bull terriers are white (P(White) = 0.5)
(iii) 20% of the white bull terriers are deaf (P(Deaf|White) = 0.2)
Now, we can apply the conditional probability formula to find the probability of a bull terrier being both white and deaf:
P(White and Deaf) = P(Deaf|White) * P(White)
P(White and Deaf) = 0.2 * 0.5
P(White and Deaf) = 0.1

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Ok, the equation of the line also known as linear function has the form:

Where x,y indicate coordinates, a is the slope and b the intercept. Given two point

A quadrilateral has 4 angles not 8 angles. The false statement is d.

A pentagon has 5 angles not 7 angles. The false statement is b.

A circle is not a polygon because it is a curved shape and does not have straight sides. The false statement is b.

A quadrilateral is a four-sided polygon so it has four angles.

The sum of the interior angles of a quadrilateral is 360 degrees.

A pentagon is a five-sided polygon, so it has five angles.

The sum of the interior angles of a pentagon is 540 degrees.

A polygon is a two-dimensional shape with straight sides and a circle is a two-dimensional shape with a curved boundary.

The definition of a polygon requires straight sides so a circle cannot be a polygon.

A triangle is a three-sided polygon, and it has three angles.

The sum of the interior angles of a triangle is 180 degrees.

A square is a four-sided polygon with four right angles and the sum of the interior angles of a square is 360 degrees.

A rectangle is a four-sided polygon with four right angles, but opposite sides of a rectangle have equal length opposite sides of a square have equal length and all sides of a square have equal length.

The properties of polygons and their angles is important in geometry as it helps us classify and identify different shapes and calculate their properties.

It is important to remember the definitions and properties of different types of polygons to avoid making mistakes and arriving at incorrect solutions in geometry problems.

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No, lecture notes collected during a bachelor degree study are not a type of date. Lecture notes are a collection of the notes taken by a student during the lectures in the course of their bachelor degree study.

They are not the same as dates, which are the specified days on which something happens or is planned to happen. Lecture notes are usually written in the form of summaries of a lecture, which are usually made up of the important points that the student has noted down during the lecture.

They may also include diagrams, equations, and other visual aids that the student has used to illustrate the material covered. Lecture notes are not the same as dates, as they are not related to any specified days. They are simply summaries of the lecture topics discussed by the professor in the course of the student’s bachelor degree study.

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Answer:

3/8

Step-by-step explanation:

slope = rise/run = 3/8

False. A p-value is used to determine the probability of an observed correlation occurring by chance, and a statistically significant p-value indicates that the observed correlation is not due to random chance, but rather a real correlation between the two variables.

A p-value is calculated by comparing the observed correlation of the two variables to the expected correlation from a randomly generated data set. The lower the p-value, the greater the chance that the observed correlation is not due to random chance. If the p-value is below a predetermined threshold (often set at 0.05) then the correlation is considered statistically significant and not due to random chance. Therefore, a p-value for correlation which is statistically significant implies that the correlation is real, and not due to random chance.

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Answer:

\(\huge\boxed{\sf n = 4}\)

Step-by-step explanation:

6 + 8n + 2n = 4n + 30

6 + 10n = 4n + 30

6 + 10n - 4n = 30

6 + 6n = 30

6n = 30 - 6

6n = 24

n = 24 / 6

\(\rule[225]{225}{2}\)

Answer:

#4

Step-by-step explanation:

EDI/HDE

hope it helps