Draw a line plot to show the lengths of Tony's 7 strings to the nearest fourth inch

Percentage of people who viewed version 1 and are likely to buy = 25 / 65 x 100% = 38.46%.

The way of expressing a number as a fraction of 100. It represents a proportion or rate per 100, and is often used to express changes, comparisons, and proportions in various fields such as mathematics, finance, and statistics.

The completed two-way table is:

Version 1 Version 2 Version 3 Total

Likely to 25 20 54 99

Buy    

Unsure or 40 10 21 71

Unlikely to    

Total 65 30 75 180

To find the number of people likely to buy version 2 or version 3, we add up the number of people who said they were likely to buy for those two versions:

Number of people likely to buy version 2 or version 3 = 20 + 54 = 74

To find the percentage of people who are unsure or unlikely to buy, we add up the number of people who said they were unsure or unlikely to buy, and divide by the total number of people surveyed, then multiply by 100%:

Percentage of people unsure or unlikely to buy = (40 + 10 + 21) / 180 x 100% = 38.89%

To find the percentage of people who viewed version 1 and are likely to buy, we divide the number of people who said they were likely to buy version 1 by the total number of people who viewed version 1, then multiply by 100%.

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Answer:

18. Commutative property of addition

19. Distributive property

20. Associative property of addition

Step-by-step explanation:

When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.

A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.

A weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.

Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

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Double integration in polar coordinates involves integrating a function over a two-dimensional region in the polar coordinate system. This is done by setting up a double integral in terms of r and θ, and integrating first with respect to r and then with respect to θ.

Double integration in polar coordinates involves integrating a function over a two-dimensional region in the polar coordinate system. The steps to double integrate a function in polar coordinates are as follows:

1. Determine the limits of integration for r and θ. These limits define the region over which the function will be integrated. Typically, the limits are determined by the boundaries of the region in the xy plane.

2. Write the function to be integrated in terms of r and θ. The function must be expressed in polar coordinates for integration in polar coordinates.

3. Set up the double integral by writing the function in polar coordinates, multiplying by the appropriate factors of r and integrating with respect to r first and then θ.

4. Integrate the function with respect to r, using the limits of integration for r determined in step 1.

5. Integrate the result from step 4 with respect to θ, using the limits of integration for θ determined in step 1.

The general form of a double integral in polar coordinates is:

∫∫f(r, θ)r dr dθ

where f(r, θ) is the function to be integrated, and r and θ are the polar coordinates.

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The candy distributor needs to use 30 kilograms of 10% fat-content chocolate and 70 kilograms of 50% fat-content chocolate to create 100 kilograms of a 14% fat-content chocolate.

To solve this problem, we can use the method of mixture problems, which involves setting up a system of equations. Let x be the number of kilograms of the 10% fat-content chocolate and y be the number of kilograms of the 50% fat-content chocolate.

We have two equations based on the fat content and the total weight of the mixture:

0.1x + 0.5y = 0.14(100) (equation for fat content)

x + y = 100 (equation for total weight)

We can solve this system of equations using substitution or elimination. Using substitution, we can solve for x in terms of y from the second equation and substitute it into the first equation:

x = 100 - y

0.1(100 - y) + 0.5y = 0.14(100)

10 - 0.1y + 0.5y = 14

0.4y = 4

y = 10

Then we can substitute y = 10 back into the equation for x and get:

x = 100 - y = 100 - 10 = 90

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Hey there!

Formula: 1/2 * base * height = area

Equation: 1/2 * 6 * 8

Simplifying:

1/2 * 6 * 8

= 1/2 * 6/1 * 8/1

= 1 * 6 * 8 / 2 * 1 * 1

= 6 * 8 / 2 * 1

= 48 / 2

= 24

Therefore, your answer should be:

24 square units

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

She's getting paid minimum wage, in debt, and struggling in college.

1.4m/s is the rate that Roberto is walking. We know the formula for calculating the time i.e. t= d/r.

The term "distance" refers to how far we move. The rate is a measurement of our trip speed. Time is measured by how far we travel. The distance an object will travel over time and at a specific average rate is the subject of rate problems.

Given,

Distance = D

D= 1.4t

Rate= ?

Substituting the given values in the formula t= d/r

where,

t= time in seconds

d= distance

r= rate

We get,

t= 1.4t/r

t/1.4t= 1/r

t gets cancelled

so we have,

1/1.4= 1/r

r= 1.4m/s

Therefore, 1.4m/s is the rate at which Roberto is walking.

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The complete question is as follows:

Roberto is walking. The distance, D, in meters, he walks can be found using the equation D=1. 4t, where t is time in seconds.

What is the rate that Roberto's walking in meters per second?

Answer:

18 red and 6 other color

Step-by-step explanation:

A box of 24 ornaments contains 3/4 red ornaments. How many red ornaments are in the box? How many ornaments are another color than red?

3/4 × 24 = red ornaments

= 18 red

24 - 18 = 6 other color

Given the expression:

The term that involves the variable x is x^3/2.

Let's determine its coefficient:

Therefore, the coefficient of the term that involves the variable x is 1/2.

Answer:

52

Step-by-step explanation:

To solve, use the Pythagorean Theorem, which says c² = a² + b². Enter 20 as a and 48 as b and square them both. This will give you 400 for a, and 2304 as b. Add them to get 2704. So, c² = 2704. Find the square root of this to get 52. So, the third side is 52 in length.

Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.

To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.

In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.

In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.

In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.

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Answer:

A) 4.18

B)7.65

Step-by-step explanation:

You have to use a calculator

a) The proportion of the students scored at least 26 points on this test is 0.02275.

b) The 71 percentile of the distribution of test scores is 24.073

A low standard deviation suggests that values are often close to the mean of the collection, whereas a large standard deviation suggests that values are dispersed over a wider range.

Standard deviation, often known as SD, is most frequently represented in mathematical texts and equations by the lower case Greek letter (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.

Let the scores be X and X is normally distributed with a mean of 22 and standard deviation of 2.

μ=22

σ=2

X≈N(22,2)

a) P(X≥26)=P(((X-μ)/σ)≥(26-μ)/σ)

=1-P(Z≥2)

=1-P(Z<2)

=1-0.97725

=0.02275

b) Let a is the 71th percentile of X,

P(X≤a)=0.71

P((X-μ)/σ)≤(a-μ)/σ)=0.71

P(Z≤z)=0.71

From the standard normal table by calculating with z value, we get

a=24.073

Therefore,

a) The proportion of the students scored at least 26 points on this test is 0.02275.

b) The 71 percentile of the distribution of test scores is 24.073.

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Answer:

4 out of 256

Step-by-step explanation:

trust me. Also I’m trying to level up my Brainly so when someone else answers the question can you try to mark me brainliest.

Answer:

It increases national debt. This happens because the unemployed don't participate in doing taxes because they do not have a job. It also effects other businesses because people with less money won't buy as many things which leads to other companies losing money.

Answer:

Step-by-step explanation:

5x+2x+7=7x+7

No it is not

5x+7+2x

5x + 7x are like terms add them

7x + 7 is the answer

Answer:

b.

Step-by-step explanation:

b. or the second answer

Answer:

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

Answer:

x=-14 and y=5

Step-by-step explanation:

adding the 2 exqns

x+4y-x-2y=6+4

⇒2y=1-

⇒y=5

x+4(5)=6

⇒x=6-20

⇒x=-14

x=-14 and y=5

Yes, there are diminishing returns to labor in the given production function.

There are diminishing returns to labor in the given production function. As more units of labor (L) are added while holding capital (K) constant, the increase in output (y) becomes smaller and smaller. This is indicative of diminishing marginal product of labor.

When the wage rate (w) is 1 and the capital (K) is fixed at 64, the profit-maximizing choice of labor (L) can be found by equating the marginal product of labor (MPL) to the wage rate. In this case, MPL = 12L^2K.

Setting MPL = w, we have 12L^2K = 1. Substituting K = 64, we get 12L^2 * 64 = 1. Solving for L, we find L ≈ 0.0917.

The profit-maximizing output level (y) can be calculated by substituting the values of L and K into the production function. Thus, y = 4L^3K = 4(0.0917)^3 * 64 ≈ 0.026.

The maximized profit can be determined by subtracting the total cost (TC) from the total revenue (TR). Since the fixed cost is given as 64, TC = 64 + wL = 64 + 1(0.0917) ≈ 64.092. TR is the product of the output level and the price, which is 0.026 * 3 = 0.078.

Profit = TR - TC ≈ 0.078 - 64.092 ≈ -63.014.

Diminishing returns to labor imply that as more labour is employed while holding other factors constant, the incremental increase in output becomes smaller. In the given production function, this phenomenon is observed. In the short run, with a fixed capital level of 64, we determine the profit-maximizing choice of labour (L) when the wage rate (w) is 1. By equating the marginal product of labour (MPL) to the wage rate, we find L ≈ 0.0917. Substituting this value into the production function, we calculate the profit-maximizing output level as y ≈ 0.026. The maximized profit is determined by subtracting the total cost (TC) from the total revenue (TR), resulting in a profit of approximately -63.014. This analysis helps understand the relationship between input choices, output levels, and profit optimization in the short run.

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Answer:

121

Step-by-step explanation:

If x=11 then the equation is:

15(11)-4(11)

First, multiply:

15×11-4×11=164-44

Now, subtract:

164-44= 121

Hope this helps!! <3

Answer:

121

Step-by-step explanation:

15x-4x

15(11) - 4(11)

165 - 44

= 121

Answer:

Step-by-step explanation:

area of triangle=base*height/2

=8*3/2

=24/2

=12 m^2

Answer:

Change in price/original price x100

=(20-15)/20 x 100

=5/20 x100=25%

The appropriate measure of spread depends on the shape and distribution of the data. In this case, the fact that the mean size is significantly different from the median size suggests that the data is skewed.

When the data is skewed, the median and the interquartile range (IQR) are generally more appropriate measures of spread than the mean and standard deviation.

Therefore, in this scenario, the more appropriate measure of spread would be the IQR because the data is skewed.

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To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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The upgraded model costs $22.42 more than the basic model.

Given that a basic stereo system costs $189.67.

An upgraded model costs $212.09.

We have to find the how much more does the upgraded model cost

To find this we have to find the difference of costs between two models.

The upgraded model costs $212.09 and the basic model costs $189.67

So the difference in cost is:

Two hundred twelve minus one hundred eighty nine point six seven

$212.09 - $189.67

We get twenty two point four two

$22.42

Therefore, the upgraded model costs $22.42 more than the basic model.

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The area between the three congruent tangent circles is 5.8356.

What is congruent tangent?

A straight line that only touches a circle once is said to be tangent to it. The term "point of tangency" refers to this location. A circle can have many lines tangent to it. Two segments are congruent if they are tangent to a circle and originate from the same exterior point.

Here, we have

Given: The radius of each circle is 6 inches.

We have to find the area between the three congruent tangent circles.

First, we calculate the height of the equilateral triangle formed by the 3 radii.

Using Pythagoras' theorem, we have

12² = h² + 6²

144 = h² + 36

h² = 144 - 36

h² = 108

h = 6√3

Now, the area of the equilateral triangle can be calculated using:

A = \(\frac{bh}{2}\)

Where,

h = 6√3

b = 2r = 2×6 = 12

A = (6√3×12)/2

A₁ = 36√3

Next, is to calculate the area of the sector formed by 2 radii in each circle.

Since the radii formed an equilateral triangle, then the central angle will be 60. So:

A = (θ/360°)×2πr²

A = (60/360°)×2π(6)²

A = 6π

For the three circles, the area is:

A₂ = 3×6π

A₂ = 18π

Subtract the areas of the sectors (A2) from the area of the equilateral triangle (A1), to get the area between them.

A = A₁ - A₂

A = 36√3 - 18π

A = 5.8356

Hence, the area between the three congruent tangent circles is 5.8356.

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