A large diamond with a mass of 712.04 grams was recently discovered in a mine. if the density of the diamond is 3.51 grams over centimeters cubed, what is the volume? round your answer to the nearest hundredth. (5 points)

question 8 options:

1)

202.9 cm3

2)

507.02 cm3

3)

717.06 cm3

4)

3574.44 cm3

Answer:

A scatter plot can show a positive relationship, a negative relationship, or no relationship. If the points on the scatter plot seem to form a line that slants up from left to right, there is a positive relationship or positive correlation between the variables.

Answer:

D. 424 m³

Step-by-step explanation:

Use the formula for the volume of a cylinder

V = \(\pi\)r²h

Plug in the values we know

V = (3.14)(3²)(15)

V = 423.9 m³

This is closest to answer choice D, 424 m³

So, D is correct

Your question has been heard loud and clear.

Among the two companies A and B , Company which is likely to sell more than 4000 stocks is company A , because company A assembled all the profit for the month and didnt invest it casually like company B. Hence company A has more money and is able to sell a good 4000 stocks.

Thank you

Answer:

One pass is $24

Step-by-step explanation:

14+2x=62

-14

2x=48\2

X=24

Answer: The person above's  answer

Step-by-step explanation:

I did the test and it was right

The Central Limit Theorem is a fundamental concept in statistics and has wide-ranging implications in various fields, including hypothesis testing, confidence interval estimation, and regression analysis.

When a simple random sample of size n is drawn from any population with mean μ and standard deviation σ, the Central Limit Theorem states that when n is sufficiently large, the sampling distribution of the sample mean will be approximately normally distributed.

More specifically, as the sample size n increases, the distribution of the sample mean approaches a normal distribution with a mean of μ and a standard deviation of σ/sqrt(n).

This means that regardless of the shape of the population distribution, when the sample size is large enough, the distribution of the sample mean will be approximately normal. This allows us to make inferences and perform statistical analyses based on the assumption of normality, even if the population itself is not normally distributed.

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To calculate how many months it will take to have four months of rent saved for a chosen rental property, we need specific information about the rental property's monthly rent.

To determine the number of months required to save four months of rent, we divide the total savings amount from Part 1 by the monthly rent of the chosen rental property. This will give us the number of months it will take to accumulate the equivalent of four months' rent. By knowing the specific monthly rent, we can divide the savings amount by the monthly rent and obtain the answer in terms of months. Please provide the monthly rent, and I will perform the calculation for you.

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Answer:

27.7m

Step-by-step explanation:

Step 1

We find the Circumference of the nylon thread.

The formula = 2πr

The diameter of the thread = 0.88m

Radius = Diameter/2

= 0.88m/2

= 0.44m

Circumference = 2 × π × 0.44m

= 2.7646015352m

Approximately = 2.765m

Step 2

We calculate the distance

Number of revolutions = 10

Therefore, the Distance or how far the metal weight can travel =

Circumference of the wheel × Number of revolutions

= 2.765m × 10

= 27.65m

Approximately to 1 decimal place = 27.7m

Step-by-step explanation:

y=x+6 ,hence:

x+x+6=12

2x=6

x=3

=> y=9

Answer:

3

Step-by-step explanation:

when 3 is added 3597 becomes 3600 which is square of 60

Using Chebyshev's inequality, the upper bound for the probability of exceeding 85 is 1/2^2 = 1/4 = 0.25.

Using Chebyshev's inequality, the probability of a student scoring between 65 and 85 is at least 1 - 1/2^2 = 1 - 1/4 = 0.75.

a. To give an upper bound for the probability that a student's test score will exceed 85, we can use Chebyshev's inequality. Chebyshev's inequality states that for any random variable, the probability that the value deviates from its mean by more than k standard deviations is at most 1/k^2. In this case, the standard deviation is the square root of the variance, which is 5 (sqrt(25)). To calculate the upper bound for the probability of exceeding 85, we can calculate the number of standard deviations 85 is from the mean of 75 and use the inequality.

Number of standard deviations = (85 - 75) / 5 = 2

b. With the knowledge that the variance is equal to 25, we can also use Chebyshev's inequality to estimate the probability that a student will score between 65 and 85. We calculate the number of standard deviations each score is from the mean and use the inequality to find an upper bound on the probability.

For 65: Number of standard deviations = (65 - 75) / 5 = -2

For 85: Number of standard deviations = (85 - 75) / 5 = 2

c. To ensure with probability at least 0.9 that the class average would be within 5 of 75, we need to determine the minimum sample size. Since we do not use the central limit theorem, we assume that the distribution of individual scores is unknown. However, we can use Chebyshev's inequality to bound the probability of the class average deviating from the mean.

Chebyshev's inequality states that the probability that the class average deviates from the mean by more than k standard deviations is at most 1/k^2. In this case, we want the probability to be at least 0.9, so we set up the inequality:

1/k^2 ≥ 1 - 0.9

1/k^2 ≥ 0.1

k^2 ≤ 10

k ≤ sqrt(10)

We know that k is the number of standard deviations, which is equal to the sample size divided by the square root of the sample size. So we have:

sqrt(10) ≤ n / sqrt(n)

sqrt(10) ≤ sqrt(n)

10 ≤ n

To ensure with probability at least 0.9 that the class average would be within 5 of 75, the minimum number of students that need to take the examination is 10.

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Answer: The absolute value inequality will be |x| ≥ -2.

Step-by-step explanation: gl :)

Answer:

more simple here da answer but this answer is from the person above i just putted the answer

The absolute value inequality will be |x| ≥ 6

Answer:

The intended audience of Paul Revere's engraving was the Patriots.

Answer:

Total Cost (p) = 90 + 14p

For 70 people = $1070

Step-by-step explanation:

Let p stand for the number of people attending the banquet

Fixed cost = $90

Variable cost = $14p

Total Cost (p) = 90 + 14p

=================

Cost for 70 people (p=70)

Total Cost = $90 + $14(70)

Total = $1070

.......................

Answer:

$0.20

Step-by-step explanation:

We need to find the unit rate in order to find the price of 1 pencil.

Divide the price by the amount.

7/35=1/5

A dollar is 100 cents, so the price is 1/5 of 100, or 20 cents.

---

hope it helps

Answer:

$18.5

Step-by-step explanation:

6 divided by 3 = 2

27 divided by 2 = 18.5

Answer:

0.125

Step-by-step explanation:

1/8=0.125

Answer:

A≈78.54

Step-by-step explanation:

Answer:

After Multiplying them.

we get 0 as an answer.

Answer: c = 5n

Step-by-step explanation:

Cost of movie ticket = $5 per person

Number of people attending the movie = n

The total cost c, will be the multiplication of the cost of movie ticket per person by the total.number of people attending the movie. This will be:

c = 5 × n

c = 5n

The probability that a point chosen at random would land in the inscribed triangle is 31.831%.

To find the probability that a point chosen at random would land in the inscribed triangle.

we need to compare the areas of the triangle and the circle.

Since the triangle is inscribed in the circle, the base of the triangle is equal to the diameter of the circle, which is twice the radius (2× 6 = 12m). The height of the triangle is equal to the radius of the circle (6m).

Using these values, we can calculate the area of the triangle:

A = (1/2) × 12m×6m = 36m²

The area of the circle can be found using the formula for the area of a circle: A = π ×radius².

Substituting the radius (6m) into the formula:

A = π×(6m)² = 36πm²

Now, to find the probability that a point chosen at random would land in the triangle.

we divide the area of the triangle by the area of the circle and multiply by 100 to express it as a percentage:

Probability = (36m² / 36πm²) × 100

Probability = (1 / π) × 100

Probability = (1 / 3.14159) ×100 = 31.831%

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Answer:

x = 16

Step-by-step explanation:

The sum of the exterior angles of a triangle = 360°

Sum the exterior angles and equate to 360

5x + 12 + 10x - 37 + 9x + 1 = 360 , that is

24x - 24 = 360 ( add 24 to both sides )

24x = 384 ( divide both sides by 24 )

x = 16

Answer:

x = 15

Step-by-step explanation:

The sum of angles in a triangle is 180deg.

Let's mark the measures of the internal angles as A, B and C.

We know that

A + B + C = 180deg

180deg - A + 180deg - B + 180deg - C = (9x + 1)deg + (5x + 12)deg + (10x - 37)deg

3*180deg - (A + B + C) = (24x - 24)deg

540deg - 180deg = (24x - 24)deg

360deg = (24x - 24)deg

360 = 24x - 24

384 = 24x

15 = x

Answer:

5/6

Step-by-step explanation:

There are six sides on a die, and they are asking the probability of not rolling a 4. So it would be 5 out of 6

Have a good day :)

ANOVA is appropriate because the independent variable is categorical and has three classes. The dependent variable is continuous, so ANOVA can be used to determine if there is a significant difference between the means of the three groups.

There are many different types of statistical tests that can be used to analyze data. When choosing a statistical test, it is important to consider the type of data that is being analyzed. In this case, the researcher is looking at an independent variable that is categorical and has three classes. The dependent variable is continuous. In this situation, the best test to use is an analysis of variance (ANOVA).

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a) The area of the first circle is approximately 254.34 square inches

b) The area of the second circle is approximately 70650 square inches.

a) The area of a circle can be calculated using the formula A = πr², where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

For the first circle with a diameter of 18 inches, we can find the radius by dividing the diameter by 2:

r = 18/2 = 9 inches

Now we can calculate the area using the formula:

A = πr² = 3.14 x 9² = 254.34 square inches

Therefore, the area of the first circle is approximately 254.34 square inches.

b) For the second circle with a diameter of 25 feet, we need to convert the diameter to inches, since our formula uses radius in inches:

25 feet = 25 x 12 inches = 300 inches

Then we can find the radius by dividing by 2:

r = 300/2 = 150 inches

Now we can calculate the area using the formula:

A = πr² = 3.14 x 150² = 70650 square inches

Therefore, the area of the second circle is approximately 70650 square inches.

Note that the units for the second calculation are in square inches, not square feet, because we used the formula that requires radius in inches.

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Answer:

x=9

Step-by-step explanation:

Answer:

Step-by-step explanation:

18.95+.16 = 19.11

answer is 2 miles is the maximum

Given:

On the first day, she drove 650 miles in 10 hours.

On the second day, she got a later start and drove 540 miles in 8 hours.

To find:

Difference between average speed of second day and first day.

Solution:

We know that,

\(Speed=\dfrac{Distance}{Time}\)

On the first day, she drove 650 miles in 10 hours.  So, the average speed is

\(Speed=\dfrac{650}{10}\)

\(Speed=65\)

So, the average speed on first day is 65 miles per hour.

On the second day, she got a later start and drove 540 miles in 8 hours.

\(Speed=\dfrac{540}{8}\)

\(Speed=67.5\)

So, the average speed on second day is 67.5 miles per hour.

Difference between average speed is

\(67.5-65=2.5\)

Therefore, the average speed on the second day is 2.5 miles per hour is faster than first day.

The quadratic form in the variables T(x + y) = T(x) + 2x¹Ay + T(y)

T(cx) = c²T(x)

The given quadratic form, x Ax, represents a quadratic function in the variables x₁, x₂, ..., xn. The goal is to prove two properties of the linear transformation T: R → R, defined as T(x) = x¹Ax.

a. To prove T(x + y) = T(x) + 2x¹Ay + T(y):

Expanding T(x + y), we substitute x + y into the quadratic form:

T(x + y) = (x + y)¹A(x + y)

        = (x¹ + y¹)A(x + y)

        = x¹Ax + x¹Ay + y¹Ax + y¹Ay

By observing the terms in the expansion, we can see that x¹Ay and y¹Ax are transposes of each other. Therefore, their sum is twice their value:

x¹Ay + y¹Ax = 2x¹Ay

Applying this simplification to the previous expression, we get:

T(x + y) = x¹Ax + 2x¹Ay + y¹Ay

        = T(x) + 2x¹Ay + T(y)

b. To prove T(cx) = c²T(x):

Expanding T(cx), we substitute cx into the quadratic form:

T(cx) = (cx)¹A(cx)

      = cx¹A(cx)

      = c(x¹Ax)x

By the associative property of matrix multiplication, we can rewrite the expression as:

c(x¹Ax)x = c(x¹Ax)¹x

        = c²(x¹Ax)

        = c²T(x)

Thus, we have shown that T(cx) = c²T(x).

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