a spherical iron ball is coated with a layer of ice of uniform thickness. if the ice melts at a rate of 39 ml/min, how fast is the outer surface area of ice decreasing when the outer diameter (ball plus ice) is 146 cm? enter your answer as a decimal rounded to the nearest thousandth.

T-tests, F test for homogeneity of variance, and ANOVAs are all examples of parametric, inferential statistics.

So, the correct answer is C.

Parametric statistics assumes that the data being analyzed follows a normal distribution and that the samples being compared have equal variances.

T-tests are used to compare means between two groups, while ANOVAs are used to compare means across three or more groups.

The F test for homogeneity of variance is used to test if the variances between two or more groups are equal.

These tests are inferential statistics because they allow researchers to make inferences about a larger population based on a sample of data.

Hence, the answer of the question is C.

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The difference in magnitude between Tallahassee and Bascom is approximately 2.2475.

Let's use the formula for the magnitude of population, which is given by:

magnitude = log(P)

where P is the population.

For Tallahassee, the population is about 188,000, so we have:

magnitude of Tallahassee = log(188000)

Using a calculator, we can find that the magnitude of Tallahassee is approximately 5.2745.

For Bascom, the population is about 1065, so we have:

magnitude of Bascom = log(1065)

Using a calculator, we can find that the magnitude of Bascom is approximately 3.0270.

To find the difference in magnitude between the two cities, we simply subtract the magnitude of Bascom from the magnitude of Tallahassee:

difference in magnitude = magnitude of Tallahassee - magnitude of Bascom

Substituting the values we found, we get:

difference in magnitude = 5.2745 - 3.0270

Simplifying, we get:

difference in magnitude ≈ 2.2475

Therefore, the difference in magnitude between Tallahassee and Bascom is approximately 2.2475.

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Answer: The teacher's claim is that there will be at least three numbers on the whiteboard whose digits have the same sum, no matter what the students write. To see if this claim is true, we can consider different cases for the number of students in the class.

If there are only two students in the class, the teacher's claim is not true. The two students can write any two different two-digit numbers, and it's not guaranteed that the digits in those numbers will have the same sum.

If there are three students in the class, the teacher's claim is true. The three students can write any three different two-digit numbers, and at least one of those numbers is guaranteed to have digits that have the same sum as one of the other numbers.

If there are more than three students in the class, the teacher's claim is true. No matter what numbers the students write, there will always be at least three numbers whose digits have the same sum.

Therefore, the smallest number of students for the teacher's claim to be true is three students.

It's worth mentioning that the teacher's claim is not necessarily true for all cases, it's only true that any three numbers picked out of the two-digit numbers set, will have digits with the same sum.

Step-by-step explanation:

The half-life of Radon-222 is approximately 3.77 days. It will take approximately 8.73 days for a sample of Radon-222 to decay to 20% of its original amount.

To find the half-life of Radon-222, we can use the following formula:

N = N0 * (1/2)^(t/T)

where: N is the final amount of the substance

N0 is the initial amount of the substance

t is the time elapsed

T is the half-life of the substance

We know that after 3 days, the sample of Radon-222 has decayed to 58% of its original amount. So we have:

N/N0 = 0.58

t = 3 days

Substituting these values into the formula, we get:

0.58 = (1/2)^(3/T)

Taking the logarithm of both sides (base 2), we get:

log2(0.58) = log2(1/2)^(3/T)

-0.796 = -3/T

T = 3.77 days

Therefore, the half-life is approximately 3.77 days.

To find how long it will take for the sample to decay to 20% of its original amount, we can use the same formula as before:

N = N0 * (1/2)^(t/T)

We want to find the time t when N/N0 = 0.20. So we have:

0.20 = (1/2)^(t/T)

Taking the logarithm of both sides (base 2), we get:

log2(0.20) = log2(1/2)^(t/T)

-2.32 = -(t/T)

t = 2.32T

Substituting the half-life T that we found in part (a), we get:

t = 2.32 * 3.77 days

t ≈ 8.73 days

Therefore, Decay will take approximately 8.73 days to reduce to 20% of original amount.

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Answer:

64

Step-by-step explanation:

4^3 is the same as 4x4x4

4x4 = 16

16x4=64

so 4^3 is 64

There is no exact measure of θ that satisfies the condition cos(θ) = 3√2 in the first quadrant.

Given that the terminal side of angle θ is in the first quadrant and cos(θ) = 3√2, we can determine the exact measure of θ by using the inverse cosine function, also known as arccosine.

Since cos(θ) = adjacent/hypotenuse, we can set up a right triangle in the first quadrant with the adjacent side as 3√2 and the hypotenuse as 1. The opposite side of the triangle can be found using the Pythagorean theorem.

Let's calculate the length of the opposite side:

opposite^2 + adjacent^2 = hypotenuse^2

opposite^2 + (3√2)^2 = 1^2

opposite^2 + 18 = 1

opposite^2 = 1 - 18

opposite^2 = -17

Since the length of a side cannot be negative, we see that there is no real solution for the length of the opposite side. Therefore, the given cosine value of 3√2 does not correspond to an angle in the first quadrant.

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Complete Question

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the accoutnt after t years can be calculated using the expression below.

\(250(1+\frac{0.018}{2})^{2t}\)

Use the given expression to complete the statements below.

The expression is the___(Product , Sum  , Quotient , Square) of the amount initially deposited and the____(Quotient , Product , Difference , Sum)  of one and the rate of increase raised to the number of ___.(Compounding Periods , Years, Months)

Answer:

Step-by-step explanation:

For an amount invested at compound interest at a rate of r% with period for t years,

Amount \(=P(1+\frac{r}{k})^{tk}\)

Comparing with the given expression: \(250(1+\frac{0.018}{2})^{2t}\)

Period =2

Rate =0.018

Total Compounding Period =2 X t, where t=Number of years

Therefore:

The expression is the Product of the amount initially deposited and the Sum of one and the rate of increase raised to the number of Compounding Periods .

Answer:

x≤−6 or x≥−4

Step-by-step explanation:

We need to graph the inequality \(x^2+10x\ge -24\)

We can find the solution of the graph as follows :

\(x^2+10x+24\ge 0\\\\x^2+6x+4x+24\ge 0\\\\x(x+6)+4(x+6)\ge 0\\\\(x+4)(x+6)\ge 0\\\\x\le -6\ \text{and}\ x\ge -4\)

The attached figure shows the graph for the given inequality.

Answer:

1/2= 0.5 is a terminating decimal number. 1/3 = 0.33333... is a non-terminating decimal number with the digit 3, repeating. If it is non-terminating and non-recurring, it is not a rational number. Example: π is an irrational number since it has a value that is non-terminating and non-recurring.

Step-by-step explanation:

Hope This Helps!

Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

The mean (or estimate) of the proportion of high school seniors intending to attend the state university is 0.83, with a standard deviation of 0.070 and a standard error of 0.012.

The mean (or estimate) of the proportion of high school seniors intending to attend the state university is 0.83.

To calculate the standard deviation, we need to use the formula:

standard deviation = √[p(1-p)/n]

where p is the proportion of "yes" answers (0.83) and n is the sample size (36).

So,

standard deviation = √[(0.83)(1-0.83)/36] = 0.070

To calculate the standard error of the mean, we use the formula:

standard error = standard deviation / √n

where n is the sample size (36).

So,

standard error = 0.070 / √36 = 0.012

Therefore, the mean (or estimate) of the proportion of high school seniors intending to attend the state university is 0.83, with a standard deviation of 0.070 and a standard error of 0.012.

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Answer:

\(y=-3x+2\)

Step-by-step explanation:

Slope-intercept form is:

\(y=mx+b\)

where m is the slope and b is the y-intercept so rearrange your equation in that specific form.

\(y+4=-3(x-2)\\y+4=-3x+6\\y=-3x+6-4\\y=-3x+2\\\)

and if we compare we get the values of m to be -3 and b to be +2 so the slope intercept form is

y = -3x + 2

Answer:

b=34.2m

Step-by-step explanation:

equation for area of parallelogram

a=b×h

in which b is the base(length) and h is the height

\(690.84 = b \times 20.2\)

\(b = \frac{690.84}{20.2} \)

b=34.2m

Therefore, the surveyor is approximately 61 meters away from the base of the cliff. Rounded to the nearest meter, the answer is 61 meters.

Distance is a numerical measurement of the physical space between two points or objects. It is often expressed in units such as meters, feet, miles, or kilometers, depending on the system of measurement being used. Distance is a scalar quantity, meaning that it has only magnitude and no direction. It is different from displacement, which is the vector quantity that describes the overall change in position of an object, taking into account both magnitude and direction. Distance can be calculated using various methods depending on the context, such as using a ruler or tape measure for small distances or using GPS or other advanced technologies for larger distances.

by the question.

We can use trigonometry to solve this problem. Let's call the distance from the surveyor to the base of the cliff "x". Then, we can use the tangent function to find x:

\(tan(71°) = opposite/adjacent\)

In this case, the opposite side is the height of the cliff (160 meters) and the adjacent side is x, so we have:

\(tan(71°) = 160/x\)

To solve for x, we can multiply both sides by x and divide both sides by tan (71°):

\(x = 160 / tan(71°)\)

Using a calculator, we find that tan (71°) is approximately 2.62, so:

\(x = 160 / 2.62\)

x ≈ 61.07 meters

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Answer: 345.79 - The value of the digit 7 is 7 thousandths, or 0.007.

sorry if this doesn't help..

SANA ALL SMART HAHAHAHHAAHHAHAAHA

The estimate is 562.8

788.44 - 225.6

First, perform:

788 - 225

= 563

Next, perform:

0.44 - 0.6

This is approximately

0.4 - 0.6

= -0.2

The estimate is now:

563 - 0.2

= 562.8

Answer:

x = -2,-3

Step-by-step explanation:

Solve the equation by factorizing.

To factorize this equation, you have to find the two numbers that adds up to 5 and multiplies to 6.

This one is obvious, but for others you may use trial and error.

After finding the 2 numbers: 2 and 3.

Present them in this format:

(x+3) ( x+2) = 0

You may check if this is correct using the distribution method.

After this,

you have to solve it individually.

for example:

x+3 = 0

x = -3

x+2 = 0

x = -2.

Thus, x has 2 different values: -3, -2.

You may check this by substituting x with either of these values.

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The average is the arithmetic mean of all the observations of a set of numbers. The number of times Brandon rolls above the average is 7.

The average is the arithmetic mean of all the observations of a set of numbers. it is found by dividing the sum of all the observations of the set by the number of observations in the set.

\(\rm{Average=\dfrac{Sum\ of\ observations}{Number\ of\ observations}\)

In order to know the number of times Brandon rolls the dice above the average, we first need to calculate the average of the twenty rolls.

The average of the 20 times dice rolls,

\(\rm Average = \dfrac{6+1+3+4+4+4+6+5+5+3+6+4+4+5+2+3+5+4+4+2}{20}\)

\(\rm Average = \dfrac{80}{20} = 4\)

Thus, the average of the 20 rolls of the dice is 4.

Now, the number of times the result of the dice roll is above 4(x>4) is 7.

Hence, the number of times Brandon rolls above the average is 7.

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Answer:

The three equivalent equations are x+1=4, -5+x=-2, and 2+x=5. The x equals 3.

Step-by-step explanation:

Using Pythagoras theorem:-

H²= P²+ B²

Putting the value in equation

\( {x}^{2} = {5}^{2} + {3}^{2} \\ {x}^{2} = 25 + 9 \\ {x}^{2} = 34 \\ x = \sqrt{34} = 5.83\)

Answer:

-10

Step-by-step explanation:

Variable k is denoted as vertical movement. In this case, the -10 is k. Therefore, the graph is moving 10 units down from the parent graph.

Answer:

26

Step-by-step explanation:

Well since a car can travel 78 miles Using 3 gallons

78/3=26

26 miles for each gallon

Answer:

26

Step-by-step explanation:

The unit rate refers to the distance the car can travel using 1 gallon of gas. One way to solve this is to create an algebraic equation like \(78=3x\). Then, to find the unit rate isolate x by dividing both sides by 3. This means that the unit rate is 26.

Answer:

Options 2, 3, 4, 5 are the solutions.

Step-by-step explanation:

Option 1).

x + 10 = -5

x = -10 - 5

x = -15

Therefore, x = -5 is not the solution.

Option 2).

-x² + 50 = 25

-x² = 25 - 50

-x² = -25

x² = 25

x = ±5

Therefore, x = -5 is a solution

Option (3)

|2x| = 10

2x = ± 10

x = ± 5

Therefore, x = -5 is a solution.

Option (4)

x < 0

Since, -5 < 0

Therefore, x = -5 is a solution.

Option (5)

2x < 10

x < 5

Since, -5 < 5

Therefore, x = -5 is a solution.

Options 2, 3, 4, 5 are the solutions.

Answer:   7*x-5*y-(17)=0

Step-by-step explanation:

The correct option d. the event can take no more than a maximum amount of time, described the  an event has a timebox.

A timebox is a set amount of time during which a work must be completed in agile software development.

Thus, when an event has a timebox, it signifies that the event can only last a certain length of time.

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Answer:

20 degrees F

Step-by-step explanation:

Answer:

246 cm^2

Step-by-step explanation:

Area of the rest of cardboard = Area of square - Area of the 4 sectors

Kindly note that at each corner of the cardboard, the angle is 90 degrees

Area of square = L^2 = 20^2 = 400 cm^2

Area of a sector = theta/360 * pi * r^2

Since we have 4 sectors;

Area of sectors =4 * 90/360 * 22/7 * 7 * 7

= 22/7 * 49 = 22 * 7 = 154 cm^2

Area of the remaining part of cardboard = 400 cm^2 - 154 cm^2 = 246 cm^2

Permutation helps us to know the number of ways an object can be arranged in a particular manner. The correct option is D.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

The example which is an example of permutation is Selecting a first-, second-, and third-place winner at baking.

Hence, the correct option is D.

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