Which datum is most unlikely to occur? A. a 7 foot tall person if the mean is 6 feet and the standard deviation is 3 inches B. a 13 foot tall moose if the mean is 12 feet and the standard deviation is 4 inches C. a 17 foot tall filbert tree if if the mean is 20 feet and the standard deviation is 6 inches D. a 20 foot tall giraffe if the mean is 23 feet and the

Answer:

In explanation below.

Step-by-step explanation:

Presumably, the proof you have in mind is to use a=b=2–√a=b=2 if 2–√2√22 is rational, and otherwise use a=2–√2√a=22 and b=2–√b=2. The non-constructivity here is that, unless you know some deeper number theory than just irrationality of 2–√2, you won't know which of the two cases in the proof actually occurs, so you won't be able to give aa explicitly, say by writing a decimal approximation.

The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is 0.39.

The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, can be calculated using conditional probability.

P(A|B) = P(A and B) / P(B)

P(A and B) = P(T or P on second draw and F on first draw) = P(T on second draw and F on first draw) + P(P on second draw and F on first draw)

= (3/9) x (4/10) + (2/9) x (4/10) = 14/90

To find P(B), we know that it is 0.4.

Therefore, the conditional probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is:

P(A|B) = P(A and B) / P(B) = (14/90) / 0.4 ≈ 0.39

So the probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is approximately 0.39.

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Answer:-2

Step-by-step explanation:

whatever the number attachted to x is, is the slope

Answer:

slope=2

Step-by-step explanation:

1)subtract -2x from both sides and you should have y=2x+1 as your new equation

hope this helps!

Answer:3600

\

Step-by-step explanation:

The probability of finding 0 contaminated pieces in  225 g of chocolate is 5.57 X 10⁻⁷.

Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.

Hence we get X ~ Poi(λt)

where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.

For P(X = x) we get [(λt)ˣ  e^(-λt)]/x!

Here λ = 14.4 and t = 1 Hence we will get

P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!

Here we need to find the probability of the no. of contaminated pieces = 0

Therefore

P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!

Hence the probability of finding 0 contaminated pieces in a bar of chocolate is

P(X = 0) =  e⁻¹⁴°⁴

= 5.57 X 10⁻⁷

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The answer of this given question is ||u + v||^2 = ||u||^2 + ||v||^2.

Here are the steps involved in verifying the Pythagorean Theorem for the vectors u and v:

STEP 1: Compute u·v = (3, -1, -3) · (-1, -3, 0) = 3 · (-1) + (-1) · (-3) + (-3) · 0 = -3 + 3 + 0 = 0.                                                                           Since the dot product of u and v is zero, they are orthogonal.                                                                                                                STEP 2: Compute ||u||^2 and ||v||^2: ||u||^2 = 3^2 + (-1)^2 + (-3)^2 = 9 + 1 + 9 = 19||v||^2 = (-1)^2 + (-3)^2 + 0^2 = 1 + 9 + 0 = 10       STEP 3: Compute u + v and ||u + v||^2: u + v = (3, -1, -3) + (-1, -3, 0) = (2, -4, -3)||u + v||^2 = 2^2 + (-4)^2 + (-3)^2 = 4 + 16 + 9 = 29.                                                                                                                                                                                                               Now, we can verify the Pythagorean Theorem:  ||u + v||^2 = ||u||^2 + ||v||^2⇒ 29 = 19 + 10. This equation is true, so we have verified the Pythagorean Theorem for the vectors u and v. Therefore, the answer is:||u + v||^2 = ||u||^2 + ||v||^2.

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The height of the cylinder is the sum of the diameters of the spherical balls, which is 7cm+7cm+7cm=21cm.

The radius of the cylinder is half of the diameter of the spherical balls which is 3.5cm.

The volume of cylinder is given by the formula:

The volume of sphere is given by the formula:

There are three(3) spherical balls in the cylinder, thus, the volume of the 3 spherical balls will be:

Hence, the volume of the space inside the cylinder, not filled by the balls is:

Answer:

the upper limit of the third class interval

= d. 19

Step-by-step explanation:

third class interval

=16 - 19

The function G(x,y) is continuous on its domain {(x,y) | x2+y2-18 > 0}.

The given function G(x,y) = ln(x2+y2-18) is a composition of two functions g(t) = ln t and f(x,y) = x2+y2-18. In order to determine the set of points at which G(x,y) is continuous, we need to find the domain of both g(t) and f(x,y).

The function f(x,y) = x2+y2-18 is a polynomial function and it is continuous on its domain, which is the set of all real numbers. Therefore, f(x,y) is continuous for all (x,y) ∈ ℝ2.

The function g(t) = ln t is continuous on its domain, which is the set of all positive real numbers. Therefore, g(t) is continuous for all t > 0.

In order for the composition G(x,y) = g(f(x,y)) to be continuous, the value of f(x,y) must be in the domain of g(t). This means that x2+y2-18 > 0, or x2+y2 > 18.

Therefore, the set of points at which the function G(x,y) is continuous is the set of all (x,y) such that x2+y2 > 18. This is the set of all points outside the circle with radius √18 and center at the origin.

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The correct answer is option (B)  \(\frac{5}{8}x - 6\frac{1}{2}\)  when  \(\frac{5}{8}x +1\frac{1}{3}\) is subtracted from \(1\frac{1}{4} x -5\frac{1}{6}\) . Both values are in mixed fraction.

Define mixed fraction ?

A mixed fraction is a mathematical expression that represents a whole number and a fraction together. It is also called a mixed number. In a mixed fraction, the whole number is written first, followed by a space and then the fraction. The fraction represents a part of the whole number, with the numerator (top number) indicating the number of parts and the denominator (bottom number) indicating the total number of parts.

To subtract \(\frac{5}{8}x +1\frac{1}{3}\) from \(1\frac{1}{4} x -5\frac{1}{6}\) , we can simplify both terms to have a common denominator. The common denominator is 24. Then we have

\(1\frac{1}{4}x - 5\frac{1}{6} - \left(\frac{5}{8}x + 1\frac{1}{3}\right)\)

\(= \frac{5}{4}\cdot\frac{6}{6}x - \frac{31}{6}\cdot\frac{4}{4} - \frac{15}{24}x - \frac{32}{24}\)

\(= \frac{30}{24}x - \frac{124}{24} - \frac{15}{24}x - \frac{32}{24}\)

\(= \frac{15}{24}x - \frac{156}{24}\)

\(= \frac{5}{8}x - \frac{13}{2}\)

\(= \frac{5}{8}x - 6\frac{1}{2}\)

Therefore, the correct answer is option B  \(\frac{5}{8}x - 6\frac{1}{2}\) .

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Answer:

it goes by 2 to 4 to 8 to 12 to 16 so therefore your answer is 4

Step-by-step explanation:

The probability of winning a lottery game where the winning number is made up of three digits from 0 to 9 chosen at random and the numbers may repeat is 1/1000.

In the given problem, there are 10 digits from 0 to 9.If we are allowed to repeat the digits in the lottery number, then for each of the three digits, there are 10 possibilities.
Thus, the total number of possible lottery numbers = 10 × 10 × 10 = 1000.
Now, the player has only one winning number.
∴ The probability of winning the lottery = 1/1000\\

Thus, the probability of winning a lottery game where the winning number is made up of three digits from 0 to 9 chosen at random and the numbers may repeat is 1/1000.

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Answer: 3\(\sqrt{5}\)

Step-by-step explanation:

as you see c is the hypotenuse of the triangle that has two of the side 6 and 3

c^2=a^+b^2

c^2= 3^2+6^2

c^2=9+36

c^2=45

c= \(\sqrt{45}\)=3\(\sqrt{5}\)

To prove that the given categorical syllogism invalid using the counterexample method, we first need to check whether the syllogism follows the standard form of categorical syllogisms. The standard form of categorical syllogism is:

Premise 1: All A are B. (Major Premise)

Premise 2: All C are A. (Minor Premise)

Conclusion: All C are B.

Let's represent the given syllogism in the standard form:

Premise 1: No undocumented individuals are people who are paid decent wages. (Major Premise)

Premise 2: Some undocumented individuals are not farm workers. (Minor Premise)

Conclusion: Some farm workers are not people who are paid decent wages.

Now, we will use the counterexample method to disprove the given syllogism. We will use real-world examples that will make the premises true but will make the conclusion false. Suppose Premise 1 is "No birds can swim." and Premise 2 is "Some penguins are not birds". Then, the Conclusion will be "Some penguins cannot swim." which is true. Here, we see that the premises are true, and the conclusion is also true.

Let's take another example. Suppose Premise 1 is "No reptiles can fly." and Premise 2 is "Some birds are reptiles." Then, the Conclusion will be "Some birds cannot fly." which is false. Here, we see that the premises are true, but the conclusion is false.

Hence, the syllogism is invalid. Using the same method, we can disprove the given syllogism. Some farm workers are not people who are paid decent wages, because no undocumented individuals are people who are paid decent wages, and some undocumented individuals are not farm workers.

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= 816,480 arrangements.

To keep TH together we have do arrangements of : M, A, TH, E, M, A, T, I, C, S, so there are 10 objects to be arranged.We will make arrangements of these 10 and then substract cases where THE exists.Number of arrangements of above 10 objects = 10!/(2!*2!) = 907,200 ( We have divided by 2! twice because two copies of M and A are present). Number of arrangements where THE is together = 9!/((2!*2!) =  90,720.So Number of arrangements = 907,200 - 90,720 = 816,480

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Answer:

(I put the answers in bold)

To solve, add first, and then divide.

O True O False

To solve, divide first, and then add.

O True O False

There were 7 boxes of assorted muffins.

O True O False

There were 8 boxes of assorted muffins.

O True O False

This is a one-step division problem.

O True O False

Step-by-step explanation:

To get the answer I added all the numbers to get fifty-six and divided it by eight to get seven.

According to the above information, it can be inferred that the area of triangle ABC corresponds to 12cm².

To calculate the area of triangle ABC we must perform the following operation:

First of all we must identify the value of the height and the base of the triangle, which in this case are 6cm high and 4cm base.

Once we identify these two values we proceed to apply this formula:

In this formula, b means base and h means height, so we must replace these values to obtain the area of the triangle.

According to the above, the base would be 12cm².

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The required requirement of the density curve is should be equal to 1 and the ordinate should not be zero.

Given that,
Two requirements of a density curve are to be determined.

A density curve is defined as a curve on a graph that represents the distribution of values in a dataset.

Here,

The two requirements of a density curve should be,

a. The area under the density curve should be equal to 1.

b. The ordinate of the curve should not be zero i.e. they should always have the vertical height.

Thus, the required requirement of the density curve is mentioned above.

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Answer:

First we have to do both of the parenthesis so 8.95 times 108 is 966.6 and 1.5 times 106 is 159 and then we subtract 966.6 and 159 which gives us 807.6

Step-by-step explanation:

Answer:

6.1

Step-by-step explanation:

So when rounding off to the earest tenth check if the hundredeth number is bigger than 5 in this case the 9 is bigger than 5.

Because it is bigger than 5 add a 1 to the tenth unit making it 1.

Leave the 6 as it is.

The answer then becomes 6.1

HOPE THIS HELPED

Answer:

see the attachment!

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To determine the price of the keyboard with the coupon, we need to know how much Tiana spent. Let's call the original price of the keyboard "x".

According to the coupon, Tiana will receive a discount of $150 for every $500 spent. So, if she spends x dollars, she will receive a discount of (x/500) * $150.

The price of the keyboard with the coupon will then be x - (x/500) * $150.

Since the original price is not specified, we cannot determine the exact price of the keyboard with the coupon.

Step-by-step explanation:

Let coordinate of M(x, y)

we know,

image of M(x,y)-------M'(-y,x)

From question

(-y,x)= (-5,-4)

or, -y = -5 and x= -4

So, y=5 and x= -4

Therefore M(x,y)=M(-4,5)

Answer:

2x^2+10x+2

Step-by-step explanation:

12x^2 +5x+1 - ( 10x^2 -5x-1)

Distribute the minus sign

12x^2 +5x+1 -  10x^2 +5x+1

Combine like terms

2x^2+10x+2

The number of llamas in the petting zoo has 13, and the number of kangaroos is 34.

Let the number of llamas in the petting zoo be x, and the number of kangaroos in the petting zoo be y.

Thus, we can write two equations from the given conditions:

Equation 1: x + y = 47

Equation 2: 4x + 2y = 120

(since each llama has 4 legs and each kangaroo has 2 legs)

Simplifying equation 2:2x + y = 60

Now we have two equations with two unknowns.

To solve them, we can either use substitution or elimination.

Using substitution, we can solve equation 1 for y in terms of x:y = 47 - x

Now we substitute this expression for y in equation 2:2x + (47 - x) = 60

Simplifying: x + 47 = 60x = 13

Now we can use either equation 1 or 2 to find y:x + y = 47y = 47 - xy = 47 - 13y = 34

Therefore, the petting zoo has 13 llamas and 34 kangaroos.

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The area of the triangle TUV, with vertices T(2,-8), U(9,-6), and V(6,-3), is  13.58

First using distance calculator we derived the length of TV and the length of VU.

Since TV = Height; and

VU = Base

and the triangle is a right triangle,

Then, area is given by 1/2 base x Height

Length of TV usign distance calculator is 6.40312
Lenght of VU using distance calculator is 4.24264

So area = 1/2 * 6.40312 * 4.24264

Area = 13.58

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Answer:

$3.77 * 10^7

Step-by-step explanation:

$35,200,000 + $2,500,000 = $37,700,000 = $3.77 * 10^7

Answer:

Step-by-step explanation:

Converting numbers into scientific notation:

False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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The volume of the box is 1/64 cubic inches, while the volume of the sugar cube is 1728 cubic inches.

The box measures 3 x 3/12 x 1/12 inches. To better understand the dimensions, let's simplify the fractions. 3/12 can be simplified to 1/4 because both the numerator and denominator can be divided by 3. Similarly, 1/12 can be simplified to 1/48 because both the numerator and denominator can be divided by 12. So, the dimensions of the box can be written as 3 x 1/4 x 1/48 inches.

Now, let's convert the sugar cube measurement to inches. We know that a sugar cube measures 12 inches on each side. Therefore, the dimensions of the sugar cube can be written as 12 x 12 x 12 inches. To compare the box and the sugar cube, we need to find the volume of both. The volume of a rectangular box can be calculated by multiplying its length, width, and height.

For the box:
Length = 3 inches
Width = 1/4 inches
Height = 1/48 inches

Volume of the box = 3 x 1/4 x 1/48

= 3/4 x 1/48

= 3/192

= 1/64 cubic inches

For the sugar cube:
Length = 12 inches
Width = 12 inches
Height = 12 inches

Volume of the sugar cube = 12 x 12 x 12 = 1728 cubic inches Comparing the volumes, we can see that the box is much smaller than the sugar cube. The volume of the box is 1/64 cubic inches, while the volume of the sugar cube is 1728 cubic inches.

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Answer: 13,I

Step-by-step explanation:

set the 3 number is 3/5, x,y

product of them

3 /5 xy = 7:6

xy = 7:6 x 5 /3

Xy = 13

So the two number is 13, 1

Step-by-step explanation: hope this helped, Meow!