Gloria and Karla went to the store and each bought a bag of coffee beans. Gloria's bag weighed 0.4 kilograms and Karla's bag weighed 4/9 of a kilogram. Whose bag weighed more? ​

Answer:

Benford’s law states that the probability that a number in a set has a given leading digit, d, is

P(d) = log(d + 1) - log(d)  

The division property of logarithm should be use to make it as a single logarithm  

P(d) = log ( (d + 1)/ d)  

So the probability that the number 1 is the leading digit is

P(1) = log ( ( 1+1)/ 1)

P(1) = log ( 2)

P(1) = 0.301

Step-by-step explanation:

Answer:

Use the quotient property to rewrite the expression. Write the difference of logs as the quotient log((d+1)/d). Substitute 1 for d to get log(2).  Since log(2) = 0.30, the probability that the number 1 is the leading digit is about 30%.

Step-by-step explanation:

got in right on edge 2020

Answer and Step-by-step explanation:

So, we are told that 3 positive integers multiply to be 300, and that one of the integers is 5.

First, we divide 300 by 5.

The result is 60.

Now, we take different (reasonable) numbers that add to 16:

10 and 6

12 and 4

We can see here that 10 and 6 are the integers because they add up to 16 and multiplies to 60.

#teamtrees #WAP (Water And Plant)

Answer: a)  and b)

Step-by-step explanation: Lets find the percentages for each option.

a). with 1-11 without 12-20

Here there are 20 shopers. From 1 to 11, there are 11 shoppers. From 12 to 20, there are 9 shoppers. 11 of 20 have credit cards, and 11/20 = 0.55. So this option is correct

b). with 1-33 without 34-60

Here there are 60 shoppers. 1 to 33 there are 33 shoppers with store credit cards. 33/60 = 0.55. So this is also a simulation which represents this situation.

c). with 1-24 without 25-40

Here there are 40 shoppers. 1 to 24, so there are 24 shoppers with the store credit card. 24/40 = 0.6. So this is not a correct option.

d). with 1-21 without 22-40

Here there are 40 shoppers, of which 21 have the credit card. 21/40 = 0.525, so this is not one of the options

e). with 1-18 without 19-40

Here there are 40 shoppers, of which 18 have the credit card. 18/40 = 0.45, so this is not one of the options.

f). with 1-36 without 37-80

Here there are 80 shoppers, of which 36 have the credit card. 36/80 = 0.45,

so this is not one of the options.

Answer:

answers are A, D, and F

Step-by-step explanation:

PLATO

Answer:

1329.1

Step-by-step explanation:

Answer:

1329.1%

Step-by-step explanation:

(New Cost−Old Cos/Old Cost)×100

20150−14101410×100=1329.148

Neither statement "E and F are always independent" nor "E and F are always dependent" is correct for mutually exclusive events E and F with positive probabilities p(e)>0 and p(f)>0.

Events that are mutually exclusive cannot occur at the same time. For example, if we have two events E and F such that E represents "rolling a 1 on a fair die" and F represents "rolling a 2 on a fair die", These events cannot occur simultaneously since a 1 and a 2 cannot be rolled.

In probability theory, two events E and F are considered independent if the occurrence of one event has no effect on the probability of the other event occurring. For example, if we have two events E and F such that E represents "rolling a 1 on a fair die" and F represents "rolling a 6 on a fair die", these events are independent because the occurrence of one event (rolling a 1) does not affect the probability of the other event (rolling a 6) occurring.

In the case where events E and F are mutually exclusive, their occurrence does affect each other, as the occurrence of one event makes it impossible for the other event to occur. Therefore, the statement "E and F are always independent" is not correct. Similarly, the statement "E and F are always dependent" is also not correct because dependence is a different concept from mutual exclusiveness.

Therefore, "Neither of the above statements is correct" is the appropriate response.

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The complete question is:

Which of the following statements is correct if e and f are mutually exclusive and p(e)>0 and p(f)>0?

a) E and F are always independent

b) E and F are always dependent

c) Neither of the above statement is correct

Answer:

The domains are 6, 10, 8, 20

Step-by-step explanation:

It's the domain because a domain is an input to a function. While the range is an output to a function.

Answer:

Step-by-step explanation:

the quadratic formula is

-b+-sqrtb^2-4ac

a=2 b=4 c=2

so then you would substitute your variables into the formula

here's an example

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

x=3, y=-6

Step-by-step explanation:

As you know there are many ways to solve this question! First is Subsitutuion, Second is Elimination, and Third is Graphing!

Let’s begin with our detailed answer:

As you know subsitution is solving for a variable and then it can be used as a variable substitution to figure out x and y.

So in our system of equations:

\(\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.\)

I will just take one equation and solve for x but it actually dosent matter which variable you subsitutue and solve for.

\(\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.\)

To eliminate this question we can divide the top part by -3:

\(\left \ {-9x-6y=9}} \atop {9x+4y=3}} \right.\)

Let‘s sum these system of equation and we get: \(y=-6\)

We can now insert y as -6 and solve for x:

\(3x-12=-3\)

\(x=3\)

So, \(x=3, y = -6\)

Answer:

(3, - 6 )

Step-by-step explanation:

3x + 2y = - 3 → (1)

9x + 4y = 3 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 9x - 6y = 9 → (3)

Add (2) and (3) term by term to eliminate x

0 - 2y = 12

- 2y = 12 ( divide both sides by - 2 )

y = - 6

Substitute y = - 6 into either of the 2 equations and solve for x

Substituting into (1)

3x + 2(- 6) = - 3

3x - 12 = - 3 ( add 12 to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

solution is (3, - 6 )

Answer: The two lines intersect at (-4,3)

Step-by-step explanation:

So our first step would be to turn both of these into standard slope-intercept form.

1.)

4y + 3x = 0

4y = -3x

y = -3/4x

2.)

4y - x = 16

4y = x + 16

y = 1/4x + 4

Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)

The area covered by the signal is 181.37 m²

Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m

The area of a circle of radius R is given by:

A = 3.14*R²

Then the area of a fourth of a circle is:

A = (3.14/4)*R²

Replacing the value of the radius in the formula we will get:

A =  (3.14/4)*(15.2m)² = 181.37 m²

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The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,

A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).

We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:

22/6 = 3.666666...

We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.

Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.

The difference between 40 and the product of these digits and 6 is always 4.

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The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Discuss measures that can be taken to develop the spirit of hard work

Answer:

Step-by-step explanation:

Can I pls have brainliest?

Step-by-step explanation:

The 'mean' is the 'average'

    add all of the heights together .....thien divide by the NUMBER of heights that were used.

Hello!

The distance, d, is less than 200 miles.

B. d > 200

Answer:

The value of n = 1/4

Step-by-step explanation:

Given : the value of k = 99

K=100-4n ..i)

putting the value of k = 99 in equation ..i)

=> 99 = 100 -4n

=> 99 -100 = -4n

=> -1 = -4n

=> 1/4 = n

Answer:

K = -296

Step-by-step explanation:

K = 100 - 4n

K = 100 - 4(99)

K = 100 - 396

K = -296

\(\large\rm\color{Yellow}Answer:\)

The objective function is. Z=6x+4y

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The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

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Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

The amount paid to vehicle A is less than to vehicle B so, Vehicle A is suitable to purchase based on a monthly payment.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

For vehicle A,

The Principal amount of the car, P = $25000,

The rate of interest, r = 5% = 5/100 = 0.05,

The tenure, n = 60 months = 60/12 = 5 years,

Calculate the amount by the formula given below,

A = P (1 + r)ⁿ

Here A is the amount,

Substitute the values,

A = 25000 (1 + 0.05)⁵,

A = $31907.03

Similarly,  for vehicle b

A = 29000 (1 +0.04)⁶

A = $36694.25

As the amount of vehicle A is less than the of vehicle B Therefore, vehicle A is suitable to buy.

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Answer:

Yes

Step-by-step explanation:

Collinear means points are lying on the same straight line. U, H, and L are all lying on the line l.

Answer:

36 units ⇒ Answer 1 is correct

Step-by-step explanation:

To find the perimeter of a triangle you have to simply add the 3 sides together.

They have given the lengths of three sides as follows.

9 , 12 , 15 units

Let us solve now.

Perimeter = 9 + 12 + 15

                 = 21 + 15

                 = 36 units

Hope this helps you :-)

Let me know if you have any other questions :-)

Answer:

○ \(\displaystyle 36\)

Explanation:

All you are doing is adding the edges up:

\(\displaystyle \boxed{36} = 15 + 12 + 9\)

I am joyous to assist you at any time.

Answer:

108 cube

Step-by-step explanation:

the volume of one cube is (1/3)^3 = 1 / 27

1/27X = 4

X = 108

Answer:

Stable. They're solid in they're emotions

Step-by-step explanation:

Answer:

28.6 m

Step-by-step explanation:

The first answer.

To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:

1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:

   4x3 + 5x = -21

2. Factor out x from the left-hand side of the equation:

   x(4x2 + 5) = -21

3. Divide both sides by (4x2 + 5):

   x = -21 / (4x2 + 5)

So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.

Answer: 96%

1 square represent 1%

Answer:

96 present

Step-by-step explanation: