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There are 196 animals in a zoo. 6 of them are tigers.
Write this proportion as a percentage.
Give your answer correct to 1 decimal place when appropriate

The value of expression B is greater than 42.537. All of the other expressions have values that are less than 42.537.

In mathematics, the value of an expression is the result obtained when the expression is evaluated. To evaluate an expression, you need to substitute the values of the variables in the expression and then perform the required operations (such as addition, subtraction, multiplication, etc.). The result of these operations is the value of the expression.

The value of expression B is calculated as follows:

(4 x 10) + (1 x 1) + (6 x 1/10) + (9 x 1/100) + (5 x 1/1000) = 40 + 1 + 0.6 + 0.09 + 0.005 = 41.695

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The height of the lean-to on its vertical side is 8 feet.

To find the height of the lean-to on its vertical side, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the vertical side is the hypotenuse, and the length and width are the other two sides.

So, we have:

\(height^2 = hypotenuse^2 - width^2\)

We know the length of the roof (the hypotenuse) is 17 feet, and the width is 15 feet. So we can plug these values into the equation and solve for the height:

\(height^2 = 17^2 - 15^2\\height^2 = 289 - 225\\height^2 = 64\\height = 8\)

Therefore, the height of the lean-to on its vertical side is 8 feet.

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Answer:In mathematics, the process of determining which metrics to use is slightly different but still follows some basic steps. Here is a summary:

Define the problem: Identify the specific problem or question that needs to be answered mathematically. For example, if the problem is to optimize a manufacturing process, the relevant metrics could be production output and defect rates.

Identify the variables: Determine the variables that are relevant to the problem or question. These variables could include quantities such as time, distance, temperature, or pressure.

Select the appropriate metrics: Choose the metrics that will be used to measure the variables. In mathematics, metrics can be measures of central tendency, variability, correlation, or other mathematical concepts.

Test and refine the metrics: Test the chosen metrics on real-world data to ensure that they are reliable and accurate. Refine the metrics as needed to improve their performance.

Use the metrics to make decisions: Once the metrics have been validated, use them to make data-driven decisions. This could include optimizing processes, predicting outcomes, or identifying patterns in data.

In terms of who would be involved in the process, it would depend on the nature of the problem or question being addressed. Typically, mathematicians, statisticians, data analysts, and subject matter experts would be involved in the process of selecting and refining the appropriate metrics.

Answer:14.2

Step-by-step explanation:

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Answer:

5n - 5 > 35

Step-by-step explanation:

V Ux

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer:

Step-by-step explanation:

\(x^2-8x+16=5\\\\x^2-8x+11=0\\\\a=1\,,\ \ b=-8\,,\ \ c=11\\\\x_1=\dfrac{-(-8)-\sqrt{(-8)^2-4\cdot1\cdot11}}{2\cdot1}=\dfrac{8-\sqrt{20}}2=\dfrac{8-2\sqrt5}2=\dfrac{2(4-\sqrt5)}2=\\\\=4-\sqrt5\\\\x_2=\dfrac{-(-8)-\sqrt{(-8)^2-4\cdot1\cdot11}}{2\cdot1}=\dfrac{8+2\sqrt5}2=4+\sqrt5\)

Answer:

28

Step-by-step explanation:

The ratio of the triangles is 12:15 which is equal to 4:5

Then you can use that ratio to find the ?

35 would be the 5 so 4 would be multiplyed by 7

Which is equal to 28

Answer:The Algebra of Functions

Like terms, functions may be combined by addition, subtraction, multiplication or division.

Example 1. Given f ( x ) = 2x + 1 and g ( x ) = x2

+ 2x – 1 find ( f + g ) ( x ) and

( f + g ) ( 2 )

Solution

Step 1. Find ( f + g ) ( x )

Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;

( f + g ) ( x ) = ( 2x + 1 ) + (x2

+ 2x – 1 )

= 2x + 1 + x2

+ 2x – 1

= x

2

+ 4x

Step 2. Find ( f + g ) ( 2 )

To find the solution for ( f + g ) ( 2 ), evaluate the solution above for 2.

Since ( f + g ) ( x ) = x2

+ 4x then;

( f + g ) ( 2 ) = 22

+ 4(2)

= 4 + 8

= 12

Example 2. Given f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ).

Solution

Step 1. Find ( f – g ) ( x ).

( f – g ) ( x ) = f ( x ) – g ( x )

= ( 2x – 5 ) – ( 1 – x )

= 2x – 5 – 1 + x

= 3x – 6

Step 2. Find ( f – g ) ( 2 ).

( f – g ) ( x ) = 3x – 6

( f – g ) ( 2 ) = 3 (2) – 6

= 6 – 6

= 0

Step-by-step explanation:

Answer: yes I will help you the answer is 10

Step-by-step explanation:

you do 9 times X = 9x then do 9 x -8 = -72 then do 18 + 72 = 90 then do 9x/9 = 90/9 then 90/9 = 10 so then 10 is your answer

Answer:

4

Step-by-step explanation:

Answer

C = 4

Step by Step

Divide both sides by the numeric factor on the left side, then solve.

c  =  4

-8 < 4

hope it helps

Answer: -2≤-8<4

Step-by-step explanation:

A sample size of at least 241 U.S. residents would be required to reduce the standard deviation of the sampling distribution to one-half its original value, assuming that the true proportion of U.S.

The standard deviation of a sample proportion is given by the formula:

σ = √p(1-p)/n

where p is the true population proportion, and n is the sample size.

We want to find the sample size that will reduce the standard deviation to one-half its original value.

In other words, we want to find n such that:

σ/2 =√p(1-p)/n

Squaring both sides and solving for n, we get:

n = p(1-p)/(σ/2)²

Using the given value of p = 0.15, and assuming that the standard deviation of the sampling distribution is the same as the population standard deviation, which is approximately:

σ =√p(1-p)) = √0.15 × 0.85) ≈ 0.354

we can plug in the numbers and solve for n:

n = 0.15 × 0.85 / (0.354/2)²

= 240.2

Therefore, a sample size of at least 241 U.S. residents would be required to reduce the standard deviation of the sampling distribution to one-half its original value, assuming that the true proportion of U.S.

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Answer:

0.6666

2/3 as a decimal is 0.6666

Answer:

I got 0.666666667

Step-by-step explanation:

Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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Adaptations are distinct characteristics of an organism that allow it to survive in the environment. Adaptation can be classified into three mainly - structural, behavioural and and psychological.

A structural adaptation is a modification in the body of an organism. They are special attributes to the body of an organism.

Four examples of structural adaptations are

(1) Thick white fur in Polar bears : This fur helps the Polar bear to withstand the harsh cold climate. Also the white fur enable them to be not easily visible protecting it from its predators.

(2) Blubber in marine animals : It is a thick layer of fat beneath the skin. It helps in insulation of heat, storing energy and increasing buoyancy.

(3) Hump in camels : It helps to store fat which can be broken down into energy and water during scarcity of food and water. It also helps in better thermoregulation allowing them to live in extreme environments.

(4) Thorns in cacti : The entire leaf of a cactus is spine reducing the surface area of leaf and thereby decrease loss of water in evaporation. It also protect it from herbivores.

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Answer:

Step-by-step explanation:

4 + 6z - 15 = 6z - 11

2(3z -4) = 6z - 8

Here's the tricky part. You are only taking 8 away from 6z

The result is going to be larger than when you take away 11 from 6x

Try it

suppose z = 7

6*7 - 8 = 42 - 8 = 34

6*7 - 11 = 42 - 11 = 31

34>31

Answer:

10

Step-by-step explanation:

5 * 9 = 45

45 is the sum of all the ages added up

45 - (5 + 7 + 8 + 15) = 10

Answer:

(a) 48/60 = 4/5

(b) 150/60 = 15/6 = 5/2 = 2 1/2

(c) 84/98 = 12/14 = 6/7

(d) 12/52 = 3/13

(e) 7/28 = 1/4

The fractions reduced to their simplest form:

(a) 48/60 simplifies to 4/5.

(b) 150/60 simplifies to 5/2.

(c) 84/98 simplifies to 6/7.

(d) 12/52 simplifies to 3/13.

(e) 7/28 simplifies to 1/4.

Let's discuss each question separately:

(a) To reduce the fraction 48/60 to simplest form, we need to find the greatest common divisor (GCD) of both numbers. The GCD of 48 and 60 is 12. Dividing both the numerator and denominator by 12 gives us the simplified fraction 4/5.

(b) For the fraction 150/60, we find that the GCD of 150 and 60 is 30. Dividing both the numerator and denominator by 30 results in the simplified fraction 5/2.

(c) The fraction 84/98 can be simplified by dividing both the numerator and denominator by their GCD, which is 14. This gives us the simplest form of 6/7.

(d) To simplify the fraction 12/52, we calculate the GCD of 12 and 52, which is 4. Dividing both numbers by 4 yields the simplest form of 3/13.

(e) The fraction 7/28 can be simplified by dividing both the numerator and denominator by their GCD, which is 7. This simplifies the fraction to 1/4.

In summary, the fractions in their simplest forms are:

(a) 4/5

(b) 5/2

(c) 6/7

(d) 3/13

(e) 1/4.

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Slope -2/5.

Answer:

Solution given:

(x1,y1)=(0,0)

(x2,y2)=(-2,5)

now

slope =(x2-x1)/(y2-y1)=(-2-0)/(5-0)=-2/5

The exact area of the surface obtained by rotating the given curve y = Sqrt(x2 +1) about the x-axis is (2π/3)(3√5 - 1).

To find the area of the surface obtained by rotating the given curve y = Sqrt(x2 +1) about the x-axis, we need to use the formula for the surface area of a revolution. This formula is given by:
\(S = 2π ∫a^b y √(1 + (dy/dx)2\)) dx

In this case, the limits of integration are from 0 to 2, as given in the problem. We first need to find dy/dx by taking the derivative of y with respect to x. We get:
dy/dx = x/(Sqrt(x2 +1))

Substituting this into the formula above, we get:
\(S = 2π ∫0^2 Sqrt(x2 +1) √(1 + x2/(x2 +1)) dx\)

Simplifying this expression and evaluating the integral, we get: \(S = 2π ∫0^2 Sqrt(2x2 +1) dx\)
\(S = 2π/3 [(2x2 +1)3/2]0^2\)
S = (2π/3)(3√5 - 1)

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It is observed that the equation satisfies, therefore, \(X(t) = e^{At} Ce^{Bt}\) is the solution to \(\frac{dX(t)}{dt} = AX(t) + X(t)B\).

Given:

A differential equation is given as:

\(\frac{dX(t)}{dt} = AX(t) + X(t)B\)

where \(X(t) = e^{At} Ce^{Bt}\).

Finding the derivative of \(X(t)\):

\(\frac{dX(t)}{dt} = \frac{d}{dt}(e^{At} Ce^{Bt})\)

\(\frac{dX(t)}{dt} = Ce^{Bt} \frac{d}{dt}(e^{At}) + e^{At} \frac{d}{dt}(Ce^{Bt})\)

\(\frac{dX(t)}{dt} = Ce^{Bt} A e^{At} + e^{At} B e^{Bt} C\)

\(\frac{dX(t)}{dt} = e^{At}(CA + B) e^{Bt} C\)

Substituting the value of \(\frac{dX(t)}{dt}\) in the given differential equation, we get:

\(e^{At}(CA + B) e^{Bt} C = Ae^{At} Ce^{Bt} + e^{At} Ce^{Bt} B\)

This can be simplified as:

\(Ae^{At} Ce^{Bt} + e^{At} Ce^{Bt} B = e^{At}(CA + B) e^{Bt} C\)

Therefore, \(X(t) = e^{At} Ce^{Bt}\)

The given differential equation has been verified with the solution.

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The net change in the value of the function between x = 1 and x = 6 is 30.

To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.

First, we can find the output value of the function at x = 1:

f(1) = 6(1) - 5 = 1

Next, we can find the output value of the function at x = 6:

f(6) = 6(6) - 5 = 31

The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:

|f(6) - f(1)| = |31 - 1| = 30

Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.

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Answer:b

Step-by-step explanation:

Answer:

There is 2 blue beads on Nicole's necklace.

Step-by-step explanation:

In order to find out how much blue beads Nicole has on his necklace we just have to multiply the total among of the bead on the necklace by the 10%.

20 x 10% = \((20) (\frac{1}{10} )\) = \(2\)

Answer:

Honestly love how she's talking to another guy so she dated a guy then cheated on him now shes talking to another guy cheating on him with another guy don't waste your time on her she is a cheater

The number of possible permutations of 8 objects taken 3 at a time is 336.

The formula to calculate the permutation of 'n' object taken 'r' at a time is \(P_{r}=\dfrac{n!}{(n-1)!}\).

The formula for calculating the permutation is \(P_{r}=\dfrac{n!}{(n-r)!}\) where 'n' is the number of distinct objects taken 'r' at a time.

Thus we will substitute n=8 and r=3, we will get

\(P_{3}=\dfrac{8!}{(8-3)!}\\P_{3}=\dfrac{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{5!}\\P_{3}=\dfrac{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{5\times 4\times 3\times 2\times 1}\\P_{3}=8\times 7\times 6\\P_{3}=336\)

So, the number of possible permutations of 8 objects taken 3 at a time is 336.

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the ratio of the number of men to the total number of persons is 7:18.

The ratio of the number of men to the total number of persons can be calculated by dividing the number of men by the total number of persons.

Number of men: 112

Total number of persons: 288

Ratio of men to total persons = Number of men / Total number of persons

                            = 112 / 288

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which is 16 in this case.

112 / 288 = (112 ÷ 16) / (288 ÷ 16)

          = 7 / 18

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This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.

Let M_n be the maximum of n independent U(0, 1) random variables.

To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:

First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n

So, P(M_n ≤ 1-ε) = (1-ε)^n

Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon

Hence, P(M_n ≥ 1+ε) = (1-ε)^n

Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)

P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.

Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n

Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}

Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.

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39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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