There are 9 socks in a bag. 1 of those socks is blue.
What is the probability of picking a blue sock randomly from the bag?
Answer as a simplified fraction in the form a/b.

Answer:

We're given a least-squares regression equation that we can use to predict weight (in kilograms) from a given length (in centimeters). The question asks to predict the weight of a fish that is 70cm long, so let's plug in 70 for "length" and solve for the predicted weight: logweight = 3.08  (log length) -5.07

(logweight) 3.08 (log 70) - 5.07

(logweight) ≈ 3.08 (1.84) - 5.07

log weight ≈ 0.613

Next, we use the fact that these are base 10 logarithms and the definition of a logarithm to solve for the predicted weight:

log₁₀ (weight) ≈ 0.613

Taking logarithms on both sides

weight ≈ 10₀.₆₁₃

weight ≈ 4.1

According to this model, the predicted weight for a 70 cm long Florida bass is about 4.1kg.

​

The requried, 140% is equivalent to 7/5 as a fraction, 1 2/5 as a mixed number, and 2 as a whole number.

To write 140% as a fraction, we first recognize that "percent" means "per hundred," so 140% can be written as the fraction 140/100. We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (GCF), which is 20:

140/100 = 7/5

To write 7/5 as a mixed number, we divide the numerator by the denominator and express the result as a whole number plus a fraction. In this case:

7 ÷ 5 = 1 with a remainder of 2

So 7/5 can be written as the mixed number 1 2/5.

To write 7/5 as a whole number, we can round it to the nearest whole number. Since 7/5 is greater than 1.5 and less than 2.5, it rounds to 2.

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The probability of obtaining exactly three of the same result when flipping a fair coin four times in a row is 0.25.

Let's calculate the probability of getting the same outcome when flipping a fair coin n times in a row.

Meaning of a fair coin:

A coin is known as a fair coin if it has two sides and there is an equal probability of both sides appearing.

In other words, the probability of each side appearing is 0.5, implying that there is a 50 percent chance of it appearing.

The total number of outcomes that can be obtained when a fair coin is flipped n times in a row is 2n.

The total number of possible outcomes in this scenario is 2n.

Let's look at the likelihood of obtaining the same result when flipping a fair coin n times in a row.

The probability of obtaining the same result when flipping a fair coin n times in a row is:

P(H) = probability of getting a head P(T) = probability of getting a tail.

The probability of obtaining the same outcome when flipping a fair coin n times in a row is : P(HH...H) + P(TT...T) = (0.5)n + (0.5)n

= 2(0.5)n

= 2n-1.

For n = 4, P(HH...H) + P(TT...T)

= (0.5)4 + (0.5)4

= 0.0625 + 0.0625

= 0.125, or 1/8.

Exactly k outcomes are expected to occur with a probability of (n choose k) x (1/2)k x (1/2)n-k.

The probability of obtaining exactly k results when flipping a fair coin n times in a row is calculated using this formula.

Let's look at the probability of obtaining exactly k outcomes when flipping a fair coin n times in a row.

This is the binomial distribution formula.

P(X=k) = \((nCk)*(p^k)*((1-p)^(n-k)),\) here p=0.5 as it's a fair coin.
Where, n = the number of coin flips
p = probability of getting the same result in each flip (0.5 for a fair coin)
k = number of times the same result is obtained

For k=3, the probability is : \(P(X=3) = (nCk)*(p^k)*((1-p)^(n-k))P(X=3)\)

\(= (4C3)*((0.5)^3)*((1-0.5)^(4-3))=4*0.125*0.5=0.25\)

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The probability of selecting apple, a peach and a pear in that order is \(4.85%\)%.

In this basket, we have 4 apples, 4 peaches, and 4 pears and will select three pieces of fruit without replacement.

The probability of selecting an apple first is 4/12.

The probability of selecting a peach second is 4/11.

The probability of selecting a pear third is 4/10.

P(Apple, Peach, & Pear) = (4/12) * (4/11) * (4/10)

P(Apple, Peach, & Pear) = 64/1320

P(Apple, Peach, & Pear) = 8/165

P(Apple, Peach, & Pear) = 0.04848484848

P(Apple, Peach, & Pear) = 4.85%

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1. C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

2. B. Type Ia supernovae

3. D. Downwards; towards the center of the Sun

The interpretation of the equations and the correct options for the given questions are as follows:

Question 1:

The equation interpretation is related to gravity. The equation states a relationship between gravity and distance. The correct option is:

C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

Question 2:

To test how the constant G (gravitational constant) has changed over the evolution of the Universe, certain phenomena or objects are used. The correct option is:

B. Type Ia supernovae

Question 3:

Based on the excerpt, the direction of gravity from the Sun is described. The correct option is:

D. Downwards; towards the center of the Sun

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If a randomly selected token from a bag is square-shaped, then the correct statement is (e) The bag contains at least 1 square-shaped token, because all the other options do not provide any conclusive evidence.

Since Grace drew a square-shaped token, we know that there is "at-least" one square-shaped token in the bag.

Akira's drawing of a square-shaped token does not give us any more information, as he could have drawn the same square-shaped token that Grace drew or a different square-shaped token.

So, we cannot conclusively say that Grace and Akira drew the same token, which eliminates Option(a);

We also cannot conclude that the bag contains tokens of at least 2 different shapes, as the problem does not give us any information about the other tokens in the bag. So, Option (b) is not true.

Option (c) is not necessarily true, because there could be other non-square-shaped tokens in the bag.

Option (d) is also not necessarily true, because there could be more than two square-shaped tokens in the bag.

Therefore, the correct option is (e).

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The given question is incomplete, the complete question is

A bag contains several tokens. Grace draws a token at random from the bag, notes that it is square-shaped, and places the token back in the bag. Then, Akira draws a token at random from the bag, notes that his token is square-shaped, and places it back in the bag. Which of the following is necessarily true?

(a) Grace and Akira drew the same token

(b) The bag contains tokens of at least 2 different shapes

(c) The bag contains only square-shaped tokens

(d) The bag contains at most 2 square-shaped tokens

(e) The bag contains at least 1 square-shaped token.

Answer:

acceleration

Step-by-step explanation:

use POE:

the object is moving because the graph is not a straight line

the object is not slowing down because the graph is going up

there is not a constant speed because the line is exponential not linear

the only one left is a. acceleration

Answer:

i think the 3rd one i have not done that in a while

Step-by-step explanation:

sorry if its not right

Triangular prism formulas

volume = 0.5 * b * h * length , where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length.

area = length * (a + b + c) + (2 * base_area) , where a, b, c are sides of the triangle and base_area is the triangular base area.

Option d. dependent variable. In an experiment, the dependent variable is the factor that is being measured or observed.

It is the variable that is expected to change or be affected as a result of the manipulation of the independent variable. The independent variable is the factor that is being manipulated or controlled in the experiment, while the controlled variable is a factor that is kept constant or consistent throughout the experiment to prevent it from affecting the dependent variable. The dependent variable is often used to draw conclusions about the relationship between the independent variable and the outcome of the experiment.

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The simplified equivalent expression exists -1.9b + 7.8.

An equivalent expression exists an expression that contain the same value or worth as another expression, but does not look the same.

Combine the coefficient of the term b, we get

1.3b + 7.8–3.2b

= (1.3−3.2)⋅b + 7.8

simplifying the equation, we get

= (- 1.9) +b + 7.8

= −1.9b + 7.8

The simplified equivalent expression exists -1.9b + 7.8.

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Answer:

5/6 + 3/4 = 19/12

Simplified answer would be  1  7/12

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf C = 12\pi \ mm}\)

Step-by-step explanation:

Radius = r = 6 mm

Circumference = C = ?

C = 2πr

C = 2(π)(6 mm)

C = 12π mm

\(\rule[225]{225}{2}\)

Answer:

12π mm

Step-by-step explanation:

Circumference of a circle is given by the formula :

2πr

where r is the radius

We substitute our radius value from the diagram to find our answer:

2×π×r = 2×π×6

12×π = 12π

Units will me mm since this is a length

This is our final answer since we are told to leave it in terms of pi.

Hope this helped and brainliest please

This cadence corresponds to three sets of 24 steps per set, totaling 72 steps per minute. Participants are required to step up and down on a 12-inch step platform for a duration of three minutes, following the 96 BPM rhythm.

The step cadence used during the YMCA 3-minute step test is a set of three stepping cycles per each 20-second period. This means that the participant takes a total of nine steps within each 20-second period. In other words, the participant steps up and down on the platform at a rate of approximately 24 steps per minute. It is important to maintain this consistent step cadence throughout the entire test in order to get an accurate measure of cardiovascular fitness. Overall, the YMCA 3-minute step test is a simple and effective way to assess an individual's aerobic fitness level.

The YMCA 3-minute step test utilizes a specific step cadence to measure an individual's cardiovascular fitness. The answer is that during the test, a cadence of 96 beats per minute (BPM) is used. This cadence corresponds to three sets of 24 steps per set, totaling 72 steps per minute. Participants are required to step up and down on a 12-inch step platform for a duration of three minutes, following the 96 BPM rhythm. Upon completion of the test, the participant's heart rate is measured for a minute to determine their fitness level. The test results can be compared to established norms to gauge overall cardiovascular health and endurance.

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Answer: 1 7/10

Step-by-step explanation:

Answer:

1 \(\frac{1}{10}\)

Step-by-step explanation:

Multiply the whole numbers first.  1 x 1 = 1

Then do the fractions.  \(\frac{1}{5}\) X \(\frac{1}{2}\).  Multiply the two top numbers then multiply the two bottom numbers.  1 x 1 = 1  and  5 x 2 = 10 so this part equals \(\frac{1}{10}\).

Putting it together you get 1 \(\frac{1}{10}\).

Answer:

its b

Step-by-step explanation:

its esay for even a non smart person to know not saying your one!! never mind.IT IS BBBBBBBB!!!!!!

Step-by-step explanation:

(a) The greatest common factor (GCF) of 6 and 2 is 2.

(b) Using the GCF of 2, we can factor 6 - 2 as follows:

6 - 2 = 2 × 3 - 2

= 2 × (3 - 1)

= 2 × 2

Therefore, 6 - 2 = 2 × 2.

A rational equation is defined as the quotient of two polynomials, with the denominator not being zero. It is a type of algebraic expression that involves variables and rational functions with rational exponents.

The error in the given rational equation is that it's not allowed to cancel out the x-2 and X+2 terms, as they are in the denominators. It is because of the fact that it may make the denominator zero, which would result in undefined expressions. Therefore, we need to find the least common multiple (LCM) of the denominators and then convert the equation into equivalent forms with the same denominator.B):

Correction of the error1-2/x-2 = x+1/X+2Given rational equation can be re-written as:((1 - 2)/(x - 2)) = ((x + 1)/(X + 2))The LCM of x - 2 and X + 2 is (x - 2) (X + 2).Multiplying the numerator and denominator of the left side by (X + 2) and the numerator and denominator of the right side by (x - 2) we get,(1 - 2)(X + 2) = (x + 1) (x - 2)Now simplify the equation:2X - 3x = -3The given rational equation becomes 2X - 3x = -3 after correction.Note: You should always double-check if the obtained solution satisfies the initial equation.

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Answer:

I think it is 94 hope it works

The total cupcakes that are needed will be 9 1/2.

The fraction needed for yourself = 5 1/2

The fraction needed for your friend = 2 1/2

The fraction needed for your other friend = 1 1/2

The total fraction needed will be:

= 5 1/2 + 2 1/2 + 1 1/2

= 9 1/2

Therefore, the cupcakes that are needed will be 9 1/2.

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I want 5 halves of a cupcake for myself, 2 halves for my friend and 1 half for our other friend. What is the total needed?

Answer:

2/3

Step-by-step explanation:

Looking at the graph, it looks like the line goes through (6,10) and (-6,-8). We can "subtract" the points like so:

(6-(-6))/(10-(-8))

=12/18

=2/3

You can remember this trick as "rise over run".

I hope this solution helped you. Happy mathing!

Answer:

64%

Step-by-step explanation:

Just trust me I did multiple examples to make sure

To find the limit of the given expression as x approaches 0, we will use l'Hospital's Rule because the expression is in the indeterminate form 0/0. The given expression is: lim (x→0) [(√(1 + 9x) - √(1 - 2x))/x]

First, let's find the derivative of the numerator and denominator with respect to x. Numerator's derivative: d/dx [√(1 + 9x) - √(1 - 2x)] = (9/2) * (1/√(1 + 9x)) - (2/2) * (1/√(1 - 2x)) Denominator's derivative: d/dx [x] = 1

Now, apply l'Hospital's Rule and find the limit of the derivative: lim (x→0) [(9/2) * (1/√(1 + 9x)) - (2/2) * (1/√(1 - 2x))]

As x approaches 0: = (9/2) * (1/√(1 + 9*0)) - (2/2) * (1/√(1 - 2*0)) = (9/2) * (1/√1) - (2/2) * (1/√1) = (9/2) - (2/2) = (9 - 2)/2 = 7/2

So the limit of the given expression as x approaches 0 is 7/2.

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Answer: 40

Step-by-step explanation:

The concentration of pineapple when 2 gallons of pineapple juice are added to 6 gallons of the other juice is; 8.24

The function is a type of relation, or rule, that maps one input to a specific single output.

Given that the functions that model the concentration of apple juice in the drink after x gallons of the 20% drink are added to 2 gallons of pure juice.

f(x)=(2)(1.0)+x(0.2)²+x

If the concentration of apple when 2 gallons of apple juice are added to 6 gallons of the other juice;

f(6) = (2)(1.0)+ 6(0.2)²+ 6

f(6) = 2.0 + 6.24

f(6) = 8.24

Hence the concentration of pineapple when 2 gallons of pineapple juice are added to 6 gallons of the other juice is; 8.24

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Answer:

5a-40=-2b

5a-40/-2=-2b/-2

-5a/2+20=b

True, parabola consists of all the set of points that are equidistant from the fixed point and the fixed line.

As given in the question,

Given statement is: Parabola consist of set of all the points which are equidistant from fixed point and fixed line.

Therefore, parabola consists of all the set of points that are equidistant from the fixed point and the fixed line is a true statement.

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