Arrange these numbers in order from least to greatest.

0.125

2.5%

1/4 ​

Step-by-step explanation:

to\(3w - 7 = \sqrt{8w - 7} \\ {(3w - 7)}^{2} = ({ \sqrt{8w - 7} })^{2} \\ 9 {w}^{2} - 42w + 49 = 8w - 7 \\ 9 { w}^{2} - 42w - 8w + 49 + 7 = 0 \\ 9 {w}^{2} - 50w + 56 = 0 \\ (9w - 14)(w - 4) = 0 \\ w = \frac{14}{9} \: or \: w = 4\)

to make sure the answer

substitute w = 14/9 and w = 4 to the equation.

if w = 14/9

\(3w - 7 = \sqrt{8 w - 7} \\ 3 \times \frac{14}{9} - 7 = \sqrt{8 \times \frac{14}{9} - 7} \\ - \frac{ 7}{3} = \frac{7}{3} \)

we know that if we substitute w = 14/9, the answer is not the same.

if w = 4

\(3w - 7 = \sqrt{ 8 w - 7 } \\ 3 \times 4 - 7 = \sqrt{8 \times 4 - 7} \\ 5 = 5\)

if we substitute w = 4 the answer is the same.. we can conclude the the answer of 3w - 7 = √8w - 4 is 4

Answer:

sqrt28, 32/7, cubrt58

Step-by-step explanation:

It says to order "greatest to least" so that means the biggest number goes first, then smaller next, and the smallest goes last.

sqrt25 is 5 and sqrt28 would be a little bigger, so 5.something. (you can find exactly on a calculator, but we don't need exact)

28/7 is 4 and 35/7 is 5. So 32/7 is in between, so like 4.something.

cuberoot27 is 3 and cuberoot64 is 4. So cuberoot58 is in between, it is 3.something.

So in order from big to small is

5...

4...

3...

which is

sqrt28,

32/7

cubrt58

The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.

It is the order of the numbers in which the biggest number comes first and then followed by the next number and then the last number will be the smallest one.

Order cube root of fifty-eight, thirty-two over seven, square root of twenty-eight from greatest to least.

∛58, 32/7, and √28

The expression is converted into decimal form, then we have

∛58, 32/7, and √28

3.87, 4.57, and 5.29

Then the order of the numbers from greatest to least will be

√28 > 32/7 > ∛58

The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.

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Answer:

36.3636364%

or 36.36

Step-by-step explanation:

The cost of electricity consumption (excluding VAT) for a household using 196 kWh in a month is given by \(\( \text{Cost} = 196 \, \text{kWh} \times r \), where \( r \)\)represents the rate per kilowatt-hour charged by the electricity provider.

To determine the cost of electricity consumption excluding VAT, we need to know the rate charged per kilowatt-hour (kWh) by the electricity provider. Let's denote this rate as \(\(r\)\) (in currency per kWh).

The total cost of electricity consumption (excluding VAT) can be calculated by multiplying the electricity usage in kWh by the rate:

\(\[ \text{Cost} = \text{Usage} \times \text{Rate} \]\)

Given that the household uses 196 kWh in a month, the cost can be expressed as:

\(\[ \text{Cost} = 196 \, \text{kWh} \times r \]\)

Please note that we still need the specific rate per kWh from the electricity provider to calculate the actual cost.

The cost of electricity consumption (excluding VAT) for a household using 196 kWh in a month is given by \(\( \text{Cost} = 196 \, \text{kWh} \times r \), where \( r \)\)represents the rate per kilowatt-hour charged by the electricity provider.

Note: The given question is incomplete. The complete question is:

If a household uses 196kWh of electricity in a month how much would they pay for their electricity consumption excluding VAT?

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Answer:

The solution to the equation:

is

Explanation:

Given the equation:

To solve this, first subtract 2 from both sides of the equation:

Next, mutiply both sides of the equation by the reciprocal of the coefficient of the unknown variable x.

The coefficient of x is 3/5, and the reciprocal of 3/5 is 5/3.

So

The solution is therefore, x = 6

Answer:

2.82% probability that all of the sprinklers will operate correctly in a fire

Step-by-step explanation:

For each sprinkler, there are only two possible outcomes. Either they will operate correctly, or they will not. The probability of a sprinkler operating correctly is independent of other sprinklers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The researchers estimate the probability of a sprinkler to activate correctly to be 0.7.

This means that \(p = 0.7\)

10 sprinklers.

This means that \(n = 10\)

What is the probability that all of the sprinklers will operate correctly in a fire?

This is P(X = 10).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 10) = C_{10,10}.(0.7)^{10}.(0.3)^{0} = 0.0282\)

2.82% probability that all of the sprinklers will operate correctly in a fire

The probability that all sprinklers will operate correctly in a fire is 0.028

The given parameters are:

p = 0.7 ---- the probability that a sprinkler to activate correctly

n = 10 --- the number of sprinklers

The probability that all sprinklers activate correctly is calculated as:

\(P(10) = p^n\)

So, we have:

\(P(10) = 0.7^{10\)

Evaluate

\(P(10) = 0.028\)

Hence, the probability that all sprinklers will operate correctly in a fire is 0.028

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Answer:

39 students

Step-by-step explanation:

simple division

351/9 would get you your answer, of 39

The given number is

To express this number in standard notation, we just have to move the decimal points 8 spots to the right (because the exponent is 8), as the image below shows.

Answer:

Step-by-step explanation:

22.57 cm inches are the net weight of the slope

Answer:

5 and 10

Step-by-step explanation:

Answer:

:D

Step-by-step explanation:

have a nice day and I really hope this isn't a genuine question

0.25

______________________________________

Answer:

Step-by-step explanation:

3 cups of juice divided among 4 people

The unit of the rate of change is (b) dollars per month

From the question, we have the following parameters that can be used in our computation:

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

substitute the known values in the above equation, so, we have the following representation

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

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a) The probability that the test comes back negative for all six people is  95.8%,

b)  The probability that the test comes back positive for at least one of the six people is 4.2%.

(a) To find the probability that the test comes back negative for all six people, we can use the fact that the test is 99.3% effective in accurately detecting the absence of the antibody.

Since the test is 99.3% effective, the probability of it coming back negative for each individual who does not have the antibody is 0.993. Therefore, the probability that the test comes back negative for all six people is calculated as follows:

P(negative for all 6) = (0.993)^6 ≈ 0.958

Therefore, the probability that the test comes back negative for all six people is approximately 0.958, or 95.8%.

(b) To find the probability that the test comes back positive for at least one of the six people, we need to consider the probability of a false positive.

The probability of a false positive, which is the probability of the test coming back positive when the antibody is not present, is given as 0.007. Therefore, the probability of the test correctly identifying the absence of the antibody is 1 - 0.007 = 0.993.

The probability that the test comes back positive for at least one person is the complement of the probability that the test comes back negative for all six people. So we can calculate it as follows:

P(positive for at least one person) = 1 - P(negative for all 6) ≈ 1 - 0.958 = 0.042

Therefore, the probability that the test comes back positive for at least one of the six people is approximately 0.042, or 4.2%.

In summary, the probability that the test comes back negative for all six people is approximately 95.8%, while the probability that the test comes back positive for at least one of the six people is approximately 4.2%.

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Answer:

x = 5

Step-by-step explanation:

5x - 1 = 24

=5x = 24 + 1

=5x = 25

=5x/5 = 25/5

x = 5

Hence the value for x is 5.

Answer:

Step-by-step explanation: 5x - 1 = 24

                                         => 5x = 24 + 1

                                         =>  x = 25/5

                                         =>  x = 5

Answer:

\(y = - \frac{6}{8}x - 3 \)

Answer:

50 or 60 feet

Step-by-step explanation:

When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.

Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.

The equation is given as y = 1/2(x) - 25

When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25

This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)

On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.

Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.

In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).

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Answer:

To write the Hindu-Arabic numeral 872 as a Babylonian numeral using the symbols I and <, we need to break it down into its place values:

The digit 8 is in the hundreds place.

The digit 7 is in the tens place.

The digit 2 is in the ones place.

To represent 800 in the hundreds place, we use 8 symbols <. To represent 70 in the tens place, we use 7 symbols < followed by 1 symbol I. To represent 2 in the ones place, we use 2 symbols I.

Putting these symbols together, we get the Babylonian numeral:

<<<<< <<<< <<<< <<<< IIII

So, the Babylonian numeral equivalent of the Hindu-Arabic numeral 872 is <<<<< <<<< <<<< <<<< IIII.

Answer:

Dollars per passenger would be $252.
The maximum revenue is $63,404.

Step-by-step explanation:

Let's define the number of passengers above 212 as x.

The revenue function is given by R(x) = (212 + x)(292 - x).

We can expand and simplify the revenue function:

\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)

= \(61804 - 212x + 292x - x^2\)

= \(-x^2 + 80x + 61804\)

The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.

To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).

\(x=\frac{-80}{2*(-1)}\)

\(= \frac{80}{2}\)

\(= 40\)

Therefore, the number of passengers above 212 for maximum revenue is 40.

Substitute x = 40 into the revenue function to find the maximum revenue:

\(R(x) = -(40)^2 + 80(40) + 61804\)

\(= -1600 + 3200 + 61804\)

\(= 61804 + 1600\)

\(= 63404\)

Hence, the maximum revenue is $63,404.

To determine the fare per passenger, subtract x from the base fare of $292:

Fare per passenger = Base fare - x

\(= 292 - 40\)

\(= 252\) Dollars per passenger.

The midpoint of the line segment with the endpoints is (4, 1)

The endpoints are given as:

E= (-2,8) and F = (10, -6)

The midpoint of the line segment with the endpoints is calculated as

Midpoint = 0.5 * (x1 + x2, y1 + y2)

So, we have:

Midpoint = 0.5 * (-2 + 10, 8- 6)

Evaluate the sum

So, we have:

Midpoint = 0.5 * (8, 2)

Evaluate the products

So, we have:

Midpoint = (4, 1)

Hence, the midpoint of the line segment with the endpoints is (4, 1)

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The work that gravity does;

W = F.S = mgΔh

In light of the fact that gravity points downward and that displacement is also downward, their angle is 0 and their cosine 1, respectively.

W = mgΔh

g = 9.8 m/s²

Δh  = 4.6 m

m = 0.60 kg

W = 0.60 x 9.80 x 4.6

W = 2.7 J

The source of gravitational potential energy in relation to the ground is;

U = mgh

The release point therefore

Ug = mgh(0)

U0 = 0.60 x 9.8 x 6.1

U0 = 35.87 J

At the point of release

U(gf) = mgh(f)

U(gf) = 0.60 x 9.80 x 1.5

U(gf) = 8.820 J

Gravitational potential energy changes are;

ΔU(g) = U(gf) - U0

ΔU(g) =  8.820 J - 35.87 J

ΔU(g) = -27.05 J

Result, we can see that the work done through gravity is the opposite of how the gravitational potential energy has changed.

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Answer:

hope this helped, can i have brainliest please? :))

Step-by-step explanation:

mean - 6.5 mean=average, to find the average, you add up all of the number then divide by the quantity of numbers there are.

median - 6 and 7 so 6.5 median= number in the middle

Answer:

  x = 31.2

Step-by-step explanation:

You want the solution to the proportion 12/x = 5/13.

You can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...

  \(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)

Now, the value of x is found by dividing both sides by its coefficient.

  \(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)

__

Additional comment

The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.

Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.

You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.

Any proportion can be written 4 ways:

  \(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)

These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.

<95141404393>

9514 1404 393

Answer:

  1 1/5 hours walking to 1 hour jogging

Step-by-step explanation:

You can multiply by 3 to eliminate the fraction, then reduce in the usual way.

  4 ÷ (3 1/3)

  = 12 ÷ 10 . . . . . . . multiply both numbers by 3

  = 1 2/10 = 1 1/5 . . . . do the division by 10

Answer:

There's is a 25% chance on having all 6 births be girls. There is a 50-50 chance of a boy nor a girl. However, it is possible.

The probability of having 6 ​girls will be 1/64.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

In a family with 6 ​children, excluding multiple​ births.

Then the probability of having 6 ​girls will be

Leaving out the third gender, let's suppose that there is an equal chance of having a girl or a boy.

Any child can be either a boy or a girl, with each having equal probability of = 1/2

Each of these blank spaces can be filled in 2 ways : B and G (denoting 'B' and 'G' respectively)

Probability of first blank being a ''G' is = 1/2

and second blanks too being a “G” is = 1/2

Thus, probability of each blank individually being a “G” = 1/2

Thus, probability of all being a “G” = (1/2) (1/2)  (1/2) (1/2) (1/2)* (1/2) = (1/2)6 = 1/64

Thus, probability of 6 children being all 6 girls = 1/64

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