In a circle, the acr length of an intercepted arc is ten inches. The radius of the circle measures 2 inches. What is the measure of the central angle that intercepts that acr?

Answer:

2 and 12

Step-by-step explanation:

2x3=6

12 x 6=72

6 and 72 is 78

Answer:

2 and 12

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

100/2=50

Answer:

100 divided by 2 is 50

Step-by-step explanation:

i just did it in my head

The probability of at least one player receiving exactly 6 hearts is 0.4668.

Probability is the measure of how likely an event is to occur. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain to occur. Probability is used to make predictions, analyze situations, and make decisions based on the likelihood of a certain outcome.

P = 1 - (P(0 Hearts) + P(1 Heart) + P(2 Hearts) + P(3 Hearts) + P(4 Hearts) + P(5 Hearts) + P(7 Hearts) + P(8 Hearts) + P(9 Hearts) + P(10 Hearts) + P(11 Hearts) + P(12 Hearts))

P = 1 - (C(13,0)×C(39,13)/C(52,13) + C(13,1)×C(39,12)/C(52,13) + C(13,2)×C(39,11)/C(52,13) + C(13,3)×C(39,10)/C(52,13) + C(13,4)×C(39,9)/C(52,13) + C(13,5)×C(39,8)/C(52,13) + C(13,7)*C(39,6)/C(52,13) + C(13,8)×C(39,5)/C(52,13) + C(13,9)×C(39,4)/C(52,13) + C(13,10)×C(39,3)/C(52,13) + C(13,11)×C(39,2)/C(52,13) + C(13,12)×C(39,1)/C(52,13))

P = 0.4668

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It would take about 36 minutes for the soup to cool to 100°F.

The rate at which an object's temperature changes when it comes into contact with a medium that has a different temperature is described by Newton's law of cooling. According to this, an object's rate of heat uptake or loss is directly correlated with the temperature difference between the object and its surroundings.

We know that;

T(t) = T(s) + (T(o) - T(s))\(e^-kt\)

130= 50 + (190 - 50)\(e^-20k\)

130 - 50 =  (190 - 50)\(e^-20k\)

80 =  (190 - 50)\(e^-20k\)

80/140 = \(e^-20k\)

0.57 = \(e^-20k\)

ln(0.57) = ln \(e^-20k\)

-0.56 = - 20 k

k = 0.028

Then the time taken to cool to  100°F

100 = 50 +  (190 - 50)\(e^-0.028t\)

50/140 =\(e^-0.028t\)

0.36 = \(e^-0.028t\)

t = ln(0.36)/-0.028

t = 36 minutes

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Answer:

d. Some companies promise higher interest rates in order to attract the attention of investors.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

To get to 12 from 4 you'd have to multiply by 3 but, if you multiply 6 by 3 you get 18, not 15.

Answer:

Step-by-step explanation:

55% = 0.55

30 dollars is the normal price so ,  

30*0.55=16.5  is the amount marked off

30-16.5=14.50  is the price of the shirts

12.00 was the cost of the shirts

14.5-12=2.50  profit per shirt

The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.

In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:

There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.

Two-way interactions:

There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.

These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:

There is 1 possible three-way interaction that can be tested in this design: AxBxC.

This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.

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Based on the calculations, the inequality represented by the given graph is y ≤ -3/2x - 2.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.

Based on the graph given, we have an inequation of the form y ≤ f(x), and f(x) is a linear function with following points:

Points (x, y) = (0, -2) and (2, -5)

Next, we would determine the slope as follows:

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (-5 - (-2))/(2 - 0)

Slope, m = -3/2.

Mathematically, the point-slope form of a straight line is given by:

y - y₁ = m(x - x₁)

Where:

Substituting the given parameters into the formula, we have;

y - (-2) = -3/2(x - 0)

y + 2 = -3/2x

y = -3/2x - 2

y ≤ -3/2x - 2.

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For skewed data displays, the median is often a better estimate of the center of distribution than the mean because the former is unaffected by large numbers.

Mean refers to the average of set of two or more numbers.

Mean of a set having 'n'  numbers = \(\frac{Sum Of 'n' Numbers}{n}\)

Median refers to the middle-most value of a list of numbers, arranged either in ascending or descending order.

Median = \(\left \{ {{\frac{n}{2}^{th} term, if n = even } \atop( (\frac{n-1}{2}+\frac{n+1}{2})/2)^{th} term, if n = odd }} \right.\)

Now,

Hence, For skewed data displays, the median is often a better estimate of the center of distribution than the mean.

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Answer:

Variance population of 147,141,120,124,128 = 106

Variance sample of 147,141,120,124,128 = 132.5

Hope this helps and PLSSS MARK AS BRAINLIEST :)

Answer:

See below.

Step-by-step explanation:

The mean = (120+124+128+141+147) / 5

= 660 / 5

= 132

Difference between the values and the mean = -12, -8, -4, 9, 15.

Squares of these differences = 144, 64, 16, 81, 225

Sum of these squared differences =  530

So the variance = 530 / 5

= 106.

This is the population variance.

The sample variance = 530 / (5-1)

= 132.5.

Answer:

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

Answer:

\(144ft^{2}\) (144ft^2)

Step-by-step explanation:

Since the living room is 6 inches by 6 inches, the formula of the living room can be seen as: \(6in^{2}\). And since each inch is equal to 2 feet, (6*2=12) we can turn the equation into: \(12ft^{2}\). 12 times 12 is 144, so the answer is \(144ft^{2}\)

Answer:

The shirt cost $28

Answer: Hope this helps.

13, 7

Step-by-step explanation:

Number one is 13

Number two is 7

Well 7 x 2 = 14, 14-1 = 7, and 7+13 = 20 making the answers true.

I figured out this number by eliminating numbers, I started with 5, ended with 8 to make a range of the possible numbers. Since 5 was too low and 8 was too high I knew the number had to be either 6 or 7, so I did 7 and I got the answer.

Answer:

7 and 13

You can set up a simple equation to solve this: x + (2x-1) = 20

The x stands for the second, smaller number because the larger number is one less than twice it. When added together, they equal 20.

Now, you just solve for x. It goes as follows:

x + 2x - 1 = 20

3x - 1 = 20

3x = 21

x = 7

Since one number is 7, the other number has to be 13 to add up to 20.

Hope this helps!!! :)

Answer:

ar40 of diameter

18ft

Step-by-step explanation:

1/2 to 1/2 is 2/4

Answer:

What expanded?

Step-by-step explanation:

Answer:

What expanded?

Step-by-step explanation:

As per the given ratio, the diameter for the circle A is 8 cm.

The term diameter in math is defined as a straight line that goes from one side to the other side of a circle, passing through the center

Here we have given that Circle A is in the interior of circle B. The diameter of circle B is 16 cm.

And we need to find  the diameter of circle A in which the ratio of the shaded area to the area of circle A is 3:1.

While we looking into the given diagram, here we know that the area of the shaded region plus the area of circle A equals the Area of Circle B.

As we know that since the shaded area of the circle, 3:1,

And here we also have

=> 3x + x = 64π

When we simplify this one then we get,

=> 4x = 64π,

Then the value of x = 16π.

Here we have to directly we get

=> π x p² = 16π,

Then the value of

=> r² = 16

=> r = 4.

Here we must know that length can't be negative!

Therefore the diameter of circle A is

=> 4* 2 = 8 cm.

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Home plate to second base is located at a distance of 90√2 feet.

A square is a rectangle in which each side is the same length. The distance separating the square's opposing vertices is known as the diagonal. The Pythagoras Theorem can be used to compute the diagonals:

Diagonal² = Side² + Side²

Diagonal² = 2 Side²

Diagonal = √2 Side

The answer to the question is that it is 90 feet from home plate to first base.

This is the length of the side that makes up the baseball diamond's square shape. The diagonal of the square is the distance from home plate to second base.

Diagonal = √2 Side

Diagonal = 90√2

Hence, home plate to second base is located at a distance of 90√2 feet.

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The question is incomplete. The complete question will be -

"A baseball diamond is square. The distance from home plate to first base is 90 feet. In feet, what is the distance from home plate to second base?"

The elements of Z3[x]/(x^2 - x) are of the form ax + b that is multiplication table, where a and b are elements of Z3.

The multiplication table is:

  | 0   1   x   1+x   2   2+x

-------------------------------

0 | 0   0   0    0   0   0

1 | 0   1   x   1+x  2  2+x

x | 0   x  2x  2+x   x  1+2x

1+x| 0  1+x 2+x   2  2+x  x

2 | 0   2   x   2+x  1  1+x

2+x| 0  2+x 1+2x  x  1+x 2

Note that in this table, we use the fact that x^2 - x = 0, which implies that x^2 = x.

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For categorical data, the mode is a particularly useful measure of central tendency it is a True statement.

A categorical variable in statistics is a variable that, based on some qualitative quality, can have one of a small, and typically fixed, number of potential values, designating each individual or other unit of observation to a certain group or nominal category.

Ordinal variables shouldn't be averaged because the gaps between the categories could not be uniform. Standard deviation and variance shouldn't be used to describe categorical data because they both depend on the mean. Instead, percentiles and range are used as metrics of spread for ordinal categorical data.

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Answer:

Step-by-step explanation:

Grouped as following:

The difference between the arithmetic average ROR and the weighted average ROR is 0.52 %.

Arithmetic mean Definition:

Sum of observation divided by number of observations.

Arithmetic average ROR:

Sum of rate of returns divided by number of investments arithmetic average:

ROR = (2.1% + 4.4% + 7.8% +10.5%)/4

ROR = 24.8% / 4

ROR = 6.2%

Sum of amounts invested = $3200 + $1750 + $1235 + $2300

= $8,485

weighted average:

ROR = ($3200/$8485*2.1% + $1750/$8485*4.4% + $1235/$8485*7.8% + $2300/$8485*10.5%)

ROR = 5.68 %

Difference = 6.2%-5.68%

Difference = 0.52%

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Answer: It is 0.5

Step-by-step explanation:

Answer:

$16.20

Step-by-step explanation:

24.00 × 25%= 6.00

24.00 - 6.00 = 18.00

18.00 × 10%=1.80

18.00 - 1.80 = 16.20

A percentage is a way to describe a part of a whole. The final cost of the book will be $16.2.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the cost of the book is $24. Therefore, the cost of the book after a 25% discount is,

Cost of book after discount = $24×(100%-25%) = $18

Now, the cost after the 10% counpon will be,

Cost after the 10% counpon = $18×(100%-10%) = $16.2

Hence, the final cost of the book will be $16.2.

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Explicación paso a paso:

Dado

an = n + 3

bn = 5n-1

a) an-bn = n + 3- (5n-1)

= n + 3-5n + 1

= n-5n + 3 + 1

= -4n + 4

an-bn = 4-4n

b) an + 3bn = (n + 3) +3 (5n-1)

= n + 3 + 3 (5n) +3 (-1)

= n + 3 + 15n-3

= n + 15n + 3-3

= 16n + 0

= 16n

an + 3bn = 16n

3) Dado a1 = 1, a2 = 1

an = an-1 + an-2

Debemos escribir los primeros ocho términos de la secuencia.

a3 = a3-1 + a3-2

a3 = a2 + a1

a3 = 1 + 1

a3 = 2

a4 = a3 + a2

a4 = 2 + 1

a4 = 3

a5 = a4 + a3

a5 = 3 + 2

a5 = 5

a6 = a5 + a4

a6 = 5 + 3

a6 = 8

a7 = a6-a5

a7 = 8 + 5

a7 = 13

a8 = a7 + a6

a8 = 13 + 8

a8 = 21

Por tanto, los primeros ocho términos de la secuencia son 1, 1, 2, 3, 5, 8, 13 y 21

Answer:

704

Step-by-step explanation:

7000 + 40  (7 thousands + 4 Tens) Divide that by 10.

7040/10 = 704

The value of 7 thousand 4 tens divided by 10 or 7040 ÷ 10 is 704 after applying the arithmetic operation the answer is 704.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

7 thousand 4 tens divided by 10

Mathematically,

= 7040 ÷ 10

As we know the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

The two numbers are 7040 and 10

After dividing:

= 7040/10

= 704 (0 cancelled out)

Thus, the value of 7 thousand 4 tens divided by 10 or 7040 ÷ 10 is 704 after applying the arithmetic operation the answer is 704.

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The largest component probability that can be achieved for the system is approximately 0.9428.

The cost of a system component is given by the equation C = 10\(P^2\), where C is the cost in dollars and P is the probability that the component will operate as expected. In this case, there are three identical components in the system, and the engineer has a budget of $252 to spend on these components.

To find the largest component probability that can be achieved, we need to determine the maximum value of P while staying within the budget. We can set up the equation:

3C = 252

Substituting C with the given equation, we get:

3(10\(P^2\)) = 252

Simplifying the equation, we have:

30\(P^2\) = 252

Dividing both sides of the equation by 30:

\(P^2\) = 8.4

Taking the square root of both sides:

P ≈ \(\sqrt{8.4}\)

P ≈ 2.8978

Since we are dealing with probabilities, the component probability cannot be negative, so we consider only the positive value. Therefore, the largest component probability that can be achieved is approximately 0.9428, rounded to 4 decimal places.

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