The gas mieages (in miles per gallon) for 32 cars are shown in the frequency distribution. Approximate the mean of the frequency distribution. (in The approximate mean of the frequency distribution is

Answer:

Step-by-step explanation:

Equation of circle: (x - h)² + (y - k)² = r²   where (h,k) is the center.

Center( -4 , 4) and r = 5

(x -[-4])² + (y - 4)²= 5²

(x + 4)² + (y-4)² = 25

x²  + 2*4*x +4²  + y²  - 2*y*4 + 4²  = 25

x²  +8x + 16 + y²  - 8y + 16 = 25

x²  + 8x + y²  - 8y + 16 + 16 -25 = 0

x²  + 8x + y²  - 8y +7 = 0

We have that the an equation of a circle given the center (-4,4) and radius r=5  is mathematically given as

(x-4)^2+(y-4)^2=5^2

Question Parameters:

Given the center (-4,4) and radius r=5

Generally the equation for the Equation of a circle   is mathematically given as

(x-x')^2+(y-y')^2=r^2

Therefore, The resultant equation will be

(x-x')^2+(y-y')^2=r^2

(x-4)^2+(y-4)^2=5^2

Hence,an equation of a circle given the center (-4,4) and radius r=5 is

(x-4)^2+(y-4)^2=5^2

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Answer:

Given the sequence 20, 24, 28, 32, 36, . . . find the 60th term.

------

nth term pattern: a(n) = 20 + (n-1)4

60th term: a(60) = 20 + 59*4 = 256

Step-by-step explanation:

the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

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The volume of the solid formed by rotating the region bounded by x = (y - 7)^2 and x = 16 about the x-axis can be found using the method of cylindrical shells with the integral ∫(0 to 9) 2πx * (16 - (y - 7)^2) dy.

To find the volume of the solid formed by rotating the region bounded by the curves x = (y - 7)^2 and x = 16 about the x-axis, we can use the method of cylindrical shells. The region is bounded by y = 0 and y = 9, which are the limits of integration.

The height of each cylindrical shell is given by h(x) = 16 - (y - 7)^2. We can express this as h(x) = 16 - (x^(1/2) - 7)^2. Using the formula for volume V = ∫(0 to 9) 2πx * h(x) dx, we integrate this expression with respect to x. Evaluating the integral will give us the volume of the resulting solid.

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Based on the passage you provided, it seems like you are being asked to apply principles of logic and construct a truth table based on the premises and conclusion presented in the passage. To accomplish this, you need to follow the three steps outlined:

Step 1: Break the premises into several statements (usually denoted by p, q, r, etc.)

From the passage, we can identify the following statements:

- Statement 1: Water is fundamental for life and the environment.

- Statement 2: Water crisis is one of the most important challenges of the 21st century.

- Statement 3: Ensuring that we use water more wisely, more productively, and less profligately will be one of the defining challenges of this century.

- Statement 4: If all public services collaborate to address the water scarcity problem, then the governments will be able to provide a planning framework to manage water usage and boost awareness of the water crisis.

- Statement 5: There is a lack of planning frameworks or there are not enough campaigns to raise awareness of the water crisis.

- Statement 6: Therefore, there is no efficient collaboration among various public sectors to address the water shortage problem.

Step 2: Express the premises and conclusion symbolically.

Using the statements identified above, we can symbolically represent them as follows:

- p: Water is fundamental for life and the environment.

- q: Water crisis is one of the most important challenges of the 21st century.

- r: Ensuring that we use water more wisely, more productively, and less profligately will be one of the defining challenges of this century.

- s: All public services collaborate to address the water scarcity problem.

- t: Governments will be able to provide a planning framework to manage water usage and boost awareness of the water crisis.

- u: There is a lack of planning frameworks or there are not enough campaigns to raise awareness of the water crisis.

- v: There is no efficient collaboration among various public sectors to address the water shortage problem.

Step 3: Construct a truth table.

To construct a truth table, assign truth values (T or F) to each statement and evaluate the truth value of the conclusion based on the truth values of the premises

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Answer:

50%

Step-by-step explanation:

2/3 * 0.5 = 1/3

0.5 = 50%

I would say twelve i think

duuno

Answer:

(4,4)

Step-by-step explanation:

5(4)-6(4)=-4

20-24=-4

-4=-4

Answer:

both numbers are negative

negative number is greater than the positive number

Step-by-step explanation:

In order to add two rational numbers and get a negative value, one of two scenarios should occur:

1- both numbers are negative.

2- negative number is greater than the positive number

Answer:

y = 9 - 3x

Step-by-step explanation:

9x + 3y - 27 = 0 ( add 27 to both sides )

9x + 3y = 27 ( subtract 9x from both sides )

3y = 27 - 9x ( divide through by 3 )

y = 9 - 3x

a)  The test was designed to have a 5% chance of making a Type I error. b) Reject H0 since p-value < significance level. c) Type I error (false positive) if H0 is true and rejected.

A significance test is used to determine whether there is sufficient evidence to reject a null hypothesis, which is a statement about a population parameter, such as a proportion, mean, or standard deviation. The significance level, often denoted by α, is the probability of making a Type I error, which is rejecting the null hypothesis when it is actually true. The commonly used significance level is 0.05, which means that the test is designed to have a 5% chance of making a Type I error.

In this scenario, the sample proportion is 0.12 and the p-value is 0.03, which is the probability of observing a sample proportion as extreme as 0.12 or more extreme, assuming that the null hypothesis is true. Since the p-value is less than the significance level, we have strong evidence against the null hypothesis, and we reject it. Therefore, we conclude that the proportion is significantly different from the hypothesized value.

If the null hypothesis is actually true, and we reject it based on the sample data, we have made a Type I error. In other words, we have falsely concluded that there is a difference when there is not. False positive is another name for this mistake. Conversely, a Type II error occurs when we fail to reject the null hypothesis when it is actually false, and this error is also known as a false negative.

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The complete question is:

A significance level of 0.05 is used when conducting a proportion-related significance test. 0.12 is the sample statistic. P-value equals 0.03.

a) What chance of a Type I error was the test designed for, if H0 were true?

b) What judgement would you draw on this test (reject or fail to reject)?

c) What kind of error, if any, was there as a result of this test?

Answer:

City X: -31 F --> -35 C

City Y: -45 C --> -49 F

City Z: -40 C --> -40 F

City Y is the coldest.

Answer:

city x is: -35 C

city y is: - 49 F

city z is: - 40 F

City y is coldest

Step-by-step explanation:

Combined surface area for the 8 prisms is: 3,040 square centimeters.

3,500 cm² > 3,040 cm², therefore, Sasha has enough cloth for the design.

Surface area = (b1 + b2)h + PH

Given the following dimensions:

Plug in the values into SA = (b1 + b2)h + PH:

Surface area = (5 + 15)7 + (40)(6)

Surface area = 380 sq. cm.

Combined surface area for the 8 prisms = 380 × 8 = 3,040 square centimeters.

3,500 cm² > 3,040 cm², therefore, Sasha has enough cloth.

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Answer:

The combined surface area of the prisms is 3040 cm², therefore Sasha does have enough cloth for her current design.

Step-by-step explanation:

7 + 6 = 13                (Length + Height)

13 x 5 = 65              side a (h + l)

15 x 13 = 195           side b (h+l)

10 x 6 = 60             side c x length

10 x 6 = 60             side d x length

All of the above added together is 380, one trapezoidal prism.

380 x 8 = 3040

I also did the quiz.

Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

Answer:

Step-by-step explanation:

Answer:

Solution given

99/5=19 4/5 is your quotient in mixed number.

There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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Answer:

The answer is A

Step-by-step explanation:

Answer: d) similar, SAS similarity, ΔDGH

Step-by-step explanation:

DG ≡ GC ⇒ G is the midpoint of DC

DH ≡ HB ⇒ H is the midpoint of DB

Therefore, HB is the midsegment of ΔDCB.

By the Midsegment Theorem, HB || BC

By Corresponding Angles Theorem, ∠DGH ≡ ∠DCB

\(\underline{Sides}:\\\\\dfrac{DB}{DC}= \dfrac{7}{14}\rightarrow \dfrac{1}{2}\qquad \dfrac{DH}{DB}= \dfrac{7}{14}\rightarrow \dfrac{1}{2}\)

ΔDCB ≅ ΔDGH by Side-Angle-Side Similarity Theorem

Answer:

b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%

c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.

Step-by-step explanation:

Answer:

(i) Total cost of the flat is Rs. 540000.

(ii) Expenditure incurred on labour is Rs. 150000

Step-by-step explanation:

According to the question, cement cost is Rs. 112500, which represents 75° in the pie chart.

(i) The total cost of the flat is represented by the total 360° in the pie chart.

∴ Using unitary method

75° represents Rs. 112500

⇒ 360° represents = \(\frac{112500}{75}\)  ×  360

                                = Rs. 540000

∴  Total cost of flat = Rs. 540000

(ii) Similarly, to calculate the cost of labour, represented by 100° in the pie chart, we can use the unitary method:

75° represents Rs. 112500

⇒ 100° represents =  \(\frac{112500}{75}\)  ×  100

                               = Rs. 150000

∴ Cost of labour = Rs. 150000

The circle intersects the x-axis at x = -17 and x = 17 and y-axis at y = -17 and y = 17.

To determine where the circle intersects the x-axis and y-axis when the point (8,15) lies on a circle centered at (0,0), we can use the equation of a circle.

The equation of a circle with center (h, k) and radius r is given by:

\((x-h)^{2}\) + \((y-k)^{2}\) = \(r^{2}\)

In this case, the center of the circle is (0,0), so the equation becomes:

\(x^{2}\) + \(y^{2}\) = \(r^{2}\)

Substituting the point (8,15) into the equation, we have:

\(8^{2}\) + \(15^{2}\) =  \(r^{2}\)

64 + 225 =  \(r^{2}\)

289 =  \(r^{2}\)

Taking the square root of both sides, we find:

r = 17

Therefore, the equation of the circle is:

\(x^{2}\)  +  \(y^{2}\)  = \(17^{2}\)

Now, to determine where the circle intersects the x-axis, we set y = 0 in the equation:

\(x^{2}\)  + \(0^{2}\) = \(17^{2}\)

\(x^{2}\)  = 289

Taking the square root, we find:

x = ±17

So, the circle intersects the x-axis at x = -17 and x = 17.

To determine where the circle intersects the y-axis, we set x = 0 in the equation:

\(0^{2}\) +  \(y^{2}\)  = \(17^{2}\)

\(y^{2}\)  = 289

Taking the square root, we find:

y = ±17

Thus, the circle intersects the y-axis at y = -17 and y = 17.

By substituting the point (8,15) into the equation of the circle, we were able to determine its radius. Then, by setting y = 0 and x = 0 in the equation, we found the points where the circle intersects the x-axis and y-axis.

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Answer:

y  =  -    1/6 x     +      -1

Step-by-step explanation:

The statement "When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication" is true because eliminating a loop-carried dependency that adds a constant simplifies the equation, but to obtain a closed-form direct solution, we need to express the result as a function of the current iteration's variables only

When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the loop-carried dependency adds a constant to the result of the previous iteration, which means that the current iteration's result is a function of both the current iteration's variables and the previous iteration's result.

By eliminating this dependency, we remove the need to use the previous iteration's result, which simplifies the equation. However, to obtain a closed-form direct solution, we need to express the result as a function of the current iteration's variables only, which often involves a multiplication. This is because multiplication is a fundamental mathematical operation that allows us to combine variables in a way that preserves their individual values.

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True. When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the loop-carried dependency is typically expressed as an addition, and removing it would result in a product of the loop index and the constant.

when eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the process often involves applying mathematical transformations that result in multiplications to simplify the loop and eliminate dependencies.

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Answer: 23.1

Step-by-step explanation:

By the inscribed angle theorem, we know the measure of arc DC is 120 degrees. So, we can set 120=7x-42.

162 = 7x

x = 162/7, which is about 23.1

Answer: he needs to mesure

Step-by-step explanation:

EQUATIONS:

24x + 32y = 264

x + y = 9

x is shirts, y is pants

SOLVING by substitution:

x = 9 - y

24(9 - y) + 32y = 264

216 - 24y + 32y = 264

8y = 48

y = 6

x + 6 = 9

x = 3

Answer:

Step-by-step explanation:

Here you go mate

step 1

x^2+5x-14=0  equation/Question

step 2

x^2+5x-14=0  factor by setting them equal to zero

(x-2)(x+7)=0

answer

x=2 or x=-7

The only possible statement is option I, x > y > z. The correct answer is A. I only. Since z⁴ is always less than or equal to y², which is always less than or equal to x, we know that x > y² > z⁴ > 0.

Taking the square root of y² > z⁴, we get y > z² > 0.

Therefore, we know that y is greater than z², and since x is greater than y², we can also say that x is greater than z⁴.

With this information, we can eliminate option II as it suggests that z is greater than x, which we know is not true.

We can also eliminate option III as it suggests that z is greater than y, which we know is not true either.

Therefore, the only possible statement is option I, x > y > z.

Hence, the correct answer is A. I only.

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