Tony has a hosepipe. The length of the hosepipe is 20 m. Tony stores the hosepipe on a reel. The weight of the reel is 1.4 kg. 1 ⁄ 2 metre of the hosepipe has a weight of 150 grams. Work out the total weight of the hosepipe and the reel.

Since the standard deviation of data set B (3.1) is greater than that of data set A (2.5), it can be concluded that data set B has more variation or spread than data set A. Thus, the answer is data set B.

The data set that has more variation (spread) between the two, data set A and data set B can be determined by comparing their standard deviations.

This is because standard deviation measures how far apart the data points in a set are from the mean.

A larger standard deviation indicates more spread or variation in the data.

Let's compare the standard deviations of the two data sets:

a) Data set A has a mean of 12 and a standard deviation of 2.5b) Data set B has a mean of 12 and a standard deviation of 3.1

Since the standard deviation of data set B (3.1) is greater than that of data set A (2.5), it can be concluded that data set B has more variation or spread than data set A.

Thus, the answer is data set B.

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The options that represent an amount and price of gas that Pedro purchased are 19 gallons of gas for $52.25, 16 gallons of gas for $44. So options C and D are correct.

To calculate the amount of gas and the total price that Pedro purchased, we need to use the formula:

Price = Cost per gallon * Number of gallons

Dividing the total price by the cost per gallon will give us the number of gallons purchased. We can then compare this with the given options to see which one(s) match.

Using the given cost per gallon of $2.75, we can check each option:

a) 13.75 gallons of gas for $41.25

Price = $2.75/gallon * 13.75 gallons = $37.81

This option does not match the total price of $41.25, so it is not correct.

b) 22 gallons of gas for $71.5

Price = $2.75/gallon * 22 gallons = $60.50

This option does not match the total price of $71.5, so it is not correct.

c) 19 gallons of gas for $52.25

Price = $2.75/gallon * 19 gallons = $52.25

This option matches the total price of $52.25, so it is correct.

d) 16 gallons of gas for $44

Price = $2.75/gallon * 16 gallons = $44

This option matches the total price of $44, so it is correct.

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Complete question is:

Pedro fills up his truck with gas he paid $2.75 a gallon which of these represents an amount and price of gas that Pedro purchased select all that apply.

a) 13.75 gallons of gas for $41.25

b) 22 gallons of gas for $71.5

c) 19 gallons of gas for $52.25

d) 16 gallons of gas for $44

For the given width length ratio and perimeter of rectangle, the length of rectangle is 80 cm.

The perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.

Let the width of the rectangle be 3x, and the length be 4x (since the ratio of the width to the length is 3:4).

The perimeter of a rectangle is the sum of the lengths of all four sides, so we have:

Perimeter = 2(length + width)

Substituting the expressions for the length and width, we get:

280cm = 2(4x + 3x)

Simplifying the right-hand side, we get:

280cm = 14x

Dividing both sides by 14, we get:

x = 20

Therefore, the length of the rectangle is 4x = 4(20) = 80 cm

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Therefore, the estimated probability that Sam will pass the road test is approximately 0.100 or 10%.

(a) To estimate the probability that Sam will pass the road test, we can use logistic regression with the given coefficients. The logistic regression model can be represented as:

P(Y=pass) = 1 / (1 + e*(-β0 - β1X1 - β2X2))

Given the coefficients:

β0 = -1.2

β1 = 0.02

β2 = 0.01

And the values for Sam:

X1 (written test score) = 25

X2 (hours of supervised practice) = 50

Plugging these values into the logistic regression equation, we can estimate the probability that Sam will pass the road test:

P(Y=pass) = 1 / (1 + e*(-(-1.2) - 0.0225 - 0.0150))

Calculating the expression:

P(Y=pass) = 1 / (1 + e*(-1.2 - 0.5 - 0.5))

P(Y=pass) = 1 / (1 + e*(-2.2))

P(Y=pass) ≈ 0.100

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Equation for the tangent plane to the surface z 1 = x y 3 cos ( z ) z 1=xy3cos(z) at the point ( 1 , 1 , 0 ) (1,1,0) is :

z = x + 3y - 4

To find the equation for the tangent plane to the surface z1 = xy^3cos(z) at the point (1, 1, 0), follow these steps:

1. First, find the partial derivatives of the given function with respect to x and y. The given function is z1 = xy^3cos(z).

2. Find ∂z1/∂x by differentiating with respect to x:
∂z1/∂x = y^3cos(z)

3. Find ∂z1/∂y by differentiating with respect to y:
∂z1/∂y = 3xy^2cos(z)

4. Now, evaluate the partial derivatives at the given point (1, 1, 0):
∂z1/∂x(1, 1, 0) = 1^3cos(0) = 1
∂z1/∂y(1, 1, 0) = 3*1^1*1^2*cos(0) = 3

5. Finally, write the equation for the tangent plane using the obtained values and the given point (1, 1, 0). The general equation for a tangent plane is:
z - z0 = ∂z1/∂x(x - x0) + ∂z1/∂y(y - y0)

Substitute the values to get the equation for the tangent plane:
z - 0 = 1*(x - 1) + 3*(y - 1)

Your answer: z = x + 3y - 4

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The probability that a standard normal random variable z is between -2.4 and 0.4 is approximately 0.6472.

To find the probability that a standard normal random variable z is between -2.4 and 0.4, we can follow these steps:

Step 1: Look up the cumulative probability corresponding to -2.4 in the standard normal distribution table. The cumulative probability at -2.4 is approximately 0.0082.

Step 2: Look up the cumulative probability corresponding to 0.4 in the standard normal distribution table. The cumulative probability at 0.4 is approximately 0.6554.

Step 3: Subtract the cumulative probability at -2.4 from the cumulative probability at 0.4 to find the probability between the two values:

P(-2.4 < z < 0.4) = 0.6554 - 0.0082

= 0.6472.

Therefore, The probability that z is between -2.4 and 0.4, when z is a standard normal random variable, is approximately 0.6472. This means that there is a 64.72% chance that a randomly selected value from a standard normal distribution falls within the range of -2.4 to 0.4.

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63 × 26 + 9 × 563 = 6,705 answer is 6,705

Answer:

The answer is: -15 35/51 < -15.6 < - radical 245 < 154/10

Answer: The probability that Danielle makes at least one of the two shots is 86%.

Step-by-step explanation:

The probability that Danielle makes at least one of the two shots is 94%.

To calculate this probability, we can consider the different scenarios in which she can make at least one shot. Danielle can make the first shot and then make the second shot, or she can miss the first shot and then make the second shot.

The probability of making the first shot is 80%, so the probability of missing the first shot is 20%. If Danielle makes the first shot, the probability of making the second shot is 90%. If she misses the first shot, the probability of making the second shot is 70%.

To calculate the probability of making at least one shot,

we can add the probabilities of the two scenarios =

(Probability of making the first shot) * (Probability of making the second shot if she makes the first shot) + (Probability of missing the first shot) * (Probability of making the second shot if she misses the first shot).

(0.8) * (0.9) + (0.2) * (0.7) = 0.72 + 0.14 = 0.86.

Therefore, the probability that Danielle makes at least one of the two shots is 86%.

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Answer:

não há perguntas

Step-by-step explanation:

Answer:

140 km in 1 hour and 24 minutes

Step-by-step explanation:

105/512  is the probability that it will show tails all 10 times

What is Probability

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.

The probability of getting a head in a single toss

p=1/2

The probability of not getting a head in a single toss

q=1/2

Now, using Binomial theorem of probability,

The probability of getting exactly r=4 heads in total n=10 tosses

\(C^{10} _{4}\frac{1}{2^4}\frac{1}{2^6}\\\\= \frac{10.9.8.7}{4!} (\frac{1}{2^4})(\frac{1}{2^6})\\\\=\frac{2^4.9.35}{24(2^1^0)}\\\\=105/512\)

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Answer:

the answer is 1/1024

Step-by-step explanation:

Answer: 1701

Step-by-step explanation:

It’s the simple math

243

    7=

1701

Answer:

the answer is going to be 2 /9 times the reciprocal of 1/2 so the answer is 4/9

Answer:

4/9

Step-by-step explanation:

2/9 / 1/2

= 2/9 x 2/1

= 2x2 / 9x1

=4/9x1

=4/9

Answer:

Speed of the slower plane = 320 mph

Speed of the faster plane = 450 mph

Step-by-step explanation:

Let the speed of the slower plane = x mph

And the speed of the faster plane = y mph

Difference in their speeds = 130 mph

y - x = 130 --------(1)

Formula for the distance traveled = Speed × time

Distance traveled by the faster plane in 5 hours = 5y miles

Distance traveled by the slower plane in 5 hours = 5x miles

Total distance traveled by both the planes in 5 hours = 5(x + y) miles

5(x + y) = 3850

x + y = 770 ---------(2)

By adding equations (1) and (2)

2y = 900

y = 450 mph

From equation (2)

x = 770 - 450

x = 320 mph

To solve the equation 15 + 2x = 36, we can start by subtracting 15 from both sides of the equation to get 2x = 21. Then, we can divide both sides by 2 to get x = 10.5. Rounded to the nearest ten-thousandth, the solution is x = 10.5000.

No as their no difference in Mr. Goodman's evaluation and the History department

What is Statistics ?

The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.

descriptive statistics types in mathematics The data in this type of statistics is summarized using the provided observations. Statistics that are inferential. To interpret the meaning of descriptive statistics, this kind of statistics is employed. Example of Statistics.

Seeing the data we can conclude that their no difference in Mr. Goodman's evaluation and the History department

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Answer:

it is shifted up three points

Step-by-step explanation:

Answer:

negative four n

Step-by-step explanation:

Angles 1 and 2 are neighboring, hence the fourth choice is accurate. Angles 1 and 2 are adjacent.

The term "Angle" refers to the separation between line segments or rays that converge at a single point.

The following may be said about angles 1 & 2:

In a line that proceeds from left to right, there is a ray in the middle that forms a right angle, a second ray between the two right angles, and one light that labels both the left angle and the right angle.

We can draw just as in the image.

Angles 1 and 2 are neighboring because they share a vertex, as seen in the image.

Angle 2 equals 90 degrees

Angle 1 equals 45 degrees

Angles 1 and 2 are adjacent, so option 4 is correct because it describes the relationship between them.

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x = 1.43 is the solution to the equation 6 • e^x = 25, rounded to two decimal places

f'(2) = -112. To find f'(2), the derivative of f(x) with respect to x, we can use the product rule since f(x) is the product of x^5 and g(x).Let's start by finding the derivative of g(x):

g'(x) is the derivative of g(x). Given that g(2) = -3 and g'(2) = 4, we have some information about g(x) at x = 2. Now, let's use the product rule to find f'(x): f(x) = x^5 * g(x). Using the product rule: f'(x) = (x^5 * g'(x)) + (5x^4 * g(x)). Now, let's evaluate f'(2) using the given information: f'(2) = (2^5 * g'(2)) + (5 * 2^4 * g(2))

Substituting the values we know: f'(2) = (32 * 4) + (5 * 16 * -3). Simplifying: f'(2) = 128 - 240, f'(2) = -112. Therefore, f'(2) = -112.

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Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Answer:

10/20 or 1/2

Step-by-step explanation:

There are 10 pink balls out of 20. (add all the numbers together)

So that means there is a 10/20 chance to get a pink ball.

Answer:

\(\frac{1}{2}\)

Step-by-step explanation:

So, the probability is the number of favored outcomes/ number of possible outcomes.

In this case, the favored outcomes is pink, which is 10.

The number of possible outcomes is 2+1+10+2+5 = 20

This gives us 10/20, which is 1/2 when simplified

The correct match for the sides of the trapezoid will be AD=PS, AB=PQ, BC=QR, AD=PS.

The process of changing the location of the image on the coordinate system will be known as the translation.

Here we have the Trapezoid ABCD  after a translation right 9 and up 2.

They result in congruent figures

The Match of the corresponding parts are given as:

\(\rm AD=PS\\\\AB=PQ,\\ \\BC=QR,\\ \\AD=PS.\)

Hence the correct match for the sides of the trapezoid will be AD=PS, AB=PQ, BC=QR, AD=PS.

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Answer:

I think 6 pound. Beacuse 6-6=0

Solution

To evaluate the integral ∬R 2-24 dA over the parallelogram R enclosed by the lines x-2y=0, x-2y=4, 3x+y=1, and 3x+y=8, the value of the integral ∬R 2-24 dA over the parallelogram R is 28.

Let's start by finding the equations of the lines that form the boundary of the parallelogram R. We have x - 2y = 0 and x - 2y = 4, which can be rewritten as y = (x/2) and y = (x/2) - 2, respectively. Similarly, 3x + y = 1 and 3x + y = 8 can be rewritten as y = -3x + 1 and y = -3x + 8, respectively.

To simplify the integral, we can make a change of variables by setting u = x - 2y and v = 3x + y. The Jacobian of this transformation is found to be |J| = 7. By applying this change of variables, the region R is transformed into a rectangle in the uv-plane with vertices (0, 1), (4, 8), (4, 1), and (0, 8).

The integral becomes ∬R 2-24 dA = ∬R 2|J| du dv = 2∬R 7 du dv = 14∬R du dv. Now, integrating over the rectangle R in the uv-plane is straightforward. The limits of integration for u are from 0 to 4, and for v, they are from 1 to 8. Thus, we have ∬R du dv = ∫[0,4]∫[1,8] 1 du dv = ∫[0,4] (u∣[1,8]) du = ∫[0,4] 7 du = (7u∣[0,4]) = 28.

Therefore, the value of the integral ∬R 2-24 dA over the parallelogram R is 28.

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