If 10 people can paint a fence in 3 days, how long would it take 6 is this:

A) Direct proportion
B) Inverse proportion
​

Answer:

  2 1/3

Step-by-step explanation:

She will need 2/3 of 3 1/2:

  (2/3)(3 1/2) = (2/3)(3) +(2/3)(1/2) = 2 + 1/3

Amanda will need 2 1/3 cups of milk.

Answer:

C. 2532

Step-by-step explanation:

120 people out of 200 surveyed is 60%

60% of 4220 people = 2532

hope this helps, brainliest plz

she saved $162

hope it helps

Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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Answer:

The circumcenter of a triangle is the point where the three perpendicular bisectors of the sides of the triangle intersect.

Step-by-step explanation:

The process of calculation of circumcenter has been given below.

What is circumcenter of a triangle?

Circumcenter of a triangle is the point of intersection of the perpendicular bisectors of every sides of the triangle.

Let the coordinate of A, B, C \(\Delta\) ABC be (\(x_1, y_1\)), \((x_2, y_2)\) and \((x_3, y_3)\) respectively and let the coordinate of circumcenter of \(\Delta ABC\) is (x, y)

We need to find the length of AB, BC and AC

The length will be obtained in terms of x and y

On solving the equations, we will obtain the value of x and y

The value of x and y is the required coordinate of the circumcenter.

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Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer:

f(n)={n/2     = if n is even=   n={2/2

       {3n+1                                 {3(2)+1   =7

Step-by-step explanation:

if n is even u can put any even no in that place and u can get odd no or even no.(i think)

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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The base of the prism in this problem is given as follows:

A) 15 m.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions in the context of this problem are given as follows:

25 m, 20 m and x.

The volume is given as follows:

7500 m³.

Applying the equation for the volume, the value of x is given as follows:

25 x 20x = 7500

500x = 7500

x = 7500/500

x = 15 m.

The problem is given by the image presented at the end of the answer.

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Answer:

no, 2/4 and 4/4 is not proportional.

Step-by-step explanation:

answer is not equal

Answer:

The slope is 1. The y-intercept is -3. The x-intercept is 3.

Step-by-step explanation:

The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.

Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\)  2. 2\(x^{0}\)\(y^{-2}\)

Expression for x =2 and y=5

-4x-2 + 3y0

= -4(2)-2 + 3(5)0

= 16+3

=19

Now

2x0y-2

= 2(2)0x(5)-2

= 2 x (1/25)

= 2 x 0.04

= 0.08

Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

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Question 8.

Given the table:

x -7 -5 -3 -1 0

y 11 14 17 20 23

To determine if the function is linear, let's calculate to see if the rate of change is constant.

The x-values need to have a constant rate of change and the y-values need to have a constant rate of change.

If the function has a constant rate of change, then the functioncan be said to be linear.

To calculate the rate of change, we have:

Since the x-values do not have a constant rate of change that means the function is not linear.

ANSWER:

The table does not represent a linear function

Answer:

\(36 + 3x + 48 = 180 \\ 3x + 84 = 180 \\ 3x = 96 \\ x = 32\)

Answer:

Step-by-step explanation:

From the given information:

The number of children that were randomly allocated to each vaccination group; n₁ = 200,000

No of polio cases X₁ = 57

Now, in the vaccine group:

the proportion of polio cases is:

\(\hat p_1 = \dfrac{57}{200000}\)

=  0.000285

The number of children that were randomly allocated to the placebo group, n₂ = 200,000

No of polio cases X₂ = 142

In the placebo group

the proportion of polio cases is:

\(\hat p_2 = \dfrac{142}{200000}\)

Null and alternative hypothesis is computed as follows:

H₀: There is no difference in the proportions of polio cases between both groups.  

H₁: There is a difference in the proportions of polio cases between both groups.

Let assume that the level of significance ∝ = 0.05

The test statistic  can be computed as:

\(Z = \dfrac{\hat p_1-\hat p_2}{\sqrt{\dfrac{\hat p_1 \hat q_1}{n_1}+ \dfrac{\hat p_2 \hat q_2}{n_2}}}\)

\(Z = \dfrac{0.000285-0.000710}{\sqrt{\dfrac{0.000285(1-0.000285)}{200000}+ \dfrac{0.000710(1-0.000710)}{200000}}}\)

\(Z = \dfrac{-4.25\times 10^{-4}}{\sqrt{\dfrac{0.000285(0.999715)}{200000}+ \dfrac{0.000710(0.99929)}{200000}}}\)

Z = - 6.03

P-value =  2P(Z < -6.03)

From the Z - tables

P-value =  2 × 0.0000

= 0.000

We reject the H₀ provided that P-value is very less.

Therefore, we may conclude that there is a difference in the proportions of polio cases between the vaccine group and placebo group not due to chance.

The different coordinates after respective rotation are:

1) A'(2, 0)

2) A'(0, -2)

3) A'(-2, 0)

There are different methods of transformation such as:

Translation

Rotation

Dilation

Reflection

Now, the coordinate of the given point A is: A(0, 2)

1) The rule for rotation of 90 degrees clockwise is:

(x, y) →(y,-x)

Thus, we have:

A'(2, 0)

2) The rule for rotation of 180 degrees is:

(x, y) → (-x,-y)

Thus, we have:

A'(0, -2)

3) The rule for rotation of 180 degrees is:

(x, y) → (-y,x)

Thus, we have:

A'(-2, 0)

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Given:

Mean,

\(\mu = 300,000\)

Standard deviation,

\(\sigma = 50,000\)

The Chebyshev theorem will be used for the solution of the given query,

i.e., \(P(|X - \mu| < k \sigma ) \geq 1-\frac{1}{k^2}\)

(i)

⇒ \(1-\frac{1}{k^2} = 0.75\)

            \(k = 2\)

The lower limit will be:

= \(\mu - k \sigma\)

= \(300000-2\times 50000\)

= \(200000\)

The upper limit will be:

= \(\mu + k \sigma\)

= \(300000+2\times 50000\)

= \(400000\)

hence,

The 75% houses sold are between:

⇒ (200000, 400000)

(ii)

⇒ \(\mu -k \sigma = Lower \ limit\)

By putting the values, we get

   \(300000-50000k = 150000\)

   \(300000-150000=50000k\)

                  \(150000=50000k\)

                           \(k=\frac{150000}{50000}\)

                              \(=3\)

now,

⇒ \(1-\frac{1}{k^2} = 1-\frac{1}{3^2}\)

              \(=\frac{8}{9}\)

              \(=0.8888\)

              \(=88.88\) (%)

hence,

88.88% houses sold between 150000 and 450000.      

(iii)

⇒ \(\mu - k \sigma = Lower \ limit\)

By putting the values, we get

   \(300000-50000k = 170000\)

   \(300000-170000=50000 k\)

                  \(130000= 50000 k\)

                          \(k = \frac{130000}{50000}\)

                             \(=2.6\)

now,

⇒ \(1-\frac{1}{k^2} = 1-\frac{1}{2.6^2}\)

              \(=0.8521\)

              \(=85.21\) (%)

hence,

85.21% houses are sold between 170000 and 430000.

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Actual time is much longer than the 50-year timeframe suggested by the speaker.

How to verify the statement?

This claim is based on the assumption that the rate of pollution reduction from each factory remains constant at 80%, and the number of factories increases by 3% per annum.

To verify this claim, we can use the following formula to calculate the expected total pollution after n years:

Total pollution after n years = \(Present \: pollution \: level x (1 + 0.03)^n \times (1 - 0.8)^n\)

Here, the first factor represents the increase in pollution due to the growth in the number of factories, and the second factor represents the reduction in pollution due to the 80% reduction in pollution from each factory.

We can set the expected total pollution after n years equal to the present pollution level and solve for n:

\(Present \: pollution \: level = Present \: pollution \: level \times (1 + 0.03)^n \times (1 - 0.8)^n\)

Simplifying this equation, we get:

\(1 = 1.03^n \times 0.2^n\)

Taking the logarithm of both sides of the equation, we get,

\(n \times log(1.03) + n \times log(0.2) = 0 \\ n \times (log(1.03) + log(0.2)) = 0 \\ n = \frac{0} { (log(1.03) + log(0.2))} \\ n = 271.56\)

Therefore, according to this calculation, it would take approximately 272 years for the total annual pollution to return to its present level if the number of factories in the country increases by 3% per annum, and they all immediately reduce the amount of pollution they produce by 80%. This is much longer than the 50-year timeframe suggested by the speaker.

It is important to note that this calculation assumes that the pollution reduction from each factory remains constant at 80% and does not take into account any other factors that may affect pollution levels, such as changes in technology or regulations. Therefore, this should be considered as a rough estimate and not as an exact prediction.

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Correct question is "A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. Verify the statement. (use logarithm)"

DH is radius.

EG is a chord

FI line is tangent to the circle

H is the point of tangency

The point of tangency is the point where a tangent line touches a curve or a circle at a single point, without intersecting it. At this point, the tangent line is perpendicular to the curve or circle at that specific point. The point of tangency is important in calculus and geometry, as it is used to calculate derivatives and solve problems related to circles, curves, and other geometrical figures.

In the given circle,

DH is radius.

(As it passes through center of circle and touches its circumference)

EG is a chord

(It divides the circle into two parts)

FI line is tangent to the circle

(It touches the line externally)

H is the point of tangency

(It is a point where the tangent of circle and circle meets)

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Answer:

blank 1: 15

blank 2: 3

blank 3: 30

Step-by-step explanation:

0.5 * 30 = 15

18-15=3

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

The price of the item is $27.

Step-by-step explanation:

$90 is reduced by 70% means: $90 - 0.70*$90 = (1 - 0.70)*$90 = 0.30*$90 = $27. The price of the item is $27 now.

Answer: 63

Reason: My brain

When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip. Sylvia uses this video clip as a discrepant event because students attached with science it would look like magic for them.

A discrepant occurrence is an unexpected, counterintuitive result that differs from what an observer would typically anticipate. Oobleck is a classic illustration of a discrepant event.

Most kids (who have never seen it before) wouldn't anticipate that it would have both solid and liquid qualities. They didn't anticipate it to spread out right away once the "ball" was placed on the table instead of rolling into a ball and taking shape.

The main factor is that pupils will develop an obsession with science. They will see this as "magic," and they will be very interested in learning how it worked. After that, they'll be prepared to "amaze" their friends with both the "trick" and their subsequently displayed "smarts."

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Answer:

1 and 4

Step-by-step explanation:

x-1 = 0

x = 1

x^2 - 5x + 4

(x-4)(x-1) = 0

x can't be 1 or 4

Answer:  1 and 4

Step-by-step explanation:

1. To find excluded values, we need to make the denominator equal to zero.

x² - 5x + 4 = 0

2. Then we need to find the x the product of them was 4, but they add up to -5, which are -4 and -1. We get:

(x - 4)(x - 1) = 0

x - 4 = 0          x - 1 = 0

    x = 4               x = 1

These two numbers will make the denominator equal to 0, the denominator cannot be equal to 0, so they are excluded numbers.

Answer:

3x^2 +3x +16

Step-by-step explanation:

do you need an explanation? if so I can put it in the comments

Answer:

$32.50

Step-by-step explanation:

2/5 = 40%

1/10 = 10%

65/2 = 32.5

Answer: 1/20

Step-by-step explanation:

Answer:

12600

Step-by-step explanation:

14x900 = 12600