A box of LED light bulbs was tested to see how long the light bulbs last. The standard deviation of the light bulb lifetime data was five years. Which of the following is the best interpretation of this value?

Fifty percent of the light bulb lifetime data is below five years.
The difference between the longest and shortest light bulb lifetime was five years.
The lifetime of the light bulbs typically varies by about five years from the mean.
The middle half of the light bulb lifetime data has a range that is five years wide.

It is important to have C=200 pounds of empty cans, which is the amount of weight in pounds that the class needs to collect.

This is further explained below.

Generally, the equation for empty cans is  mathematically given as

C= books total cost/ current price

Therefore

\(C=\frac{50}{(\frac{1}{4})}\)

C= 200

In conclusion, the pounds of empty cans the class has to collect is

C=200 pounds are needed.

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The correct expression of the inequality expression is 18 ÷ 6 + 3 □ 6 + 12 ÷ 3

From the question, the expression is given as

18 ÷ 6 + 3 □ 6 + 12 ÷ 3

We start by converting the above expression to the same form

So, we start by solving the quotients

This gives

3 + 3 □ 6 + 4

Next, we evaluate the sum

So, we have

6 □ 10

In the above expression, we have

6 and 10

By convention, the number 6 is less than the number 10

This is so because 6 has a smaller value and 10 has a higher value

When the above numbers are compared, we have

6 is less than 10

This means that we make use of the inequality symbol <

So, we have

18 ÷ 6 + 3 < 6 + 12 ÷ 3

Hence, the complete inequality is 18 ÷ 6 + 3 □ 6 + 12 ÷ 3

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Answer:

D

pls mark me as Brainiest  :}

Step-by-step explanation:

Answer:

The critical value for a two tailed test

t₍₂₅,₀.₀₁₎ = 2.4851

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 26

The level of significance '∝' = 0.01

degrees of freedom  = n-1 = 26-1 =25

we will use 't' - distribution

                                          \(t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }\)

The critical value for a two tailed test

t₍₂₅,₀.₀₁₎ = 2.4851

The two prime numbers that add up to 100005, based on the properties of prime numbers would be 2 and 100003.

To find the two prime numbers, the relevant relationship would be  the Goldbach's Conjecture. This posits that every even number greater than 2 can be expressed as the sum of two prime numbers.

So, to write an odd number as the sum of two prime numbers, one of the prime numbers has to be 2 because we know that 2 is the only even prime number.

The other number would therefore be:

= 100005 - 2

= 100003

100003 is a prime number so the two prime numbers are 2 and 100003.

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The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.

This can be calculated using a rule of three as follows. Let's start with the yellow fish:

53 = 65

x    = 100

53 x 100 / 65 = 82 yellow fish

Green fish:

12 = 65

x = 100

12 x 100 / 65= 18 green fish

This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.

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Step-by-step explanation:

2•4 =8

8/3 =2 2/3

answer : 3

Answer:

46 jumping jacks per minute

Step-by-step explanation:

184/4= 46

Answer:

she did 46 jumping jacks per minute

Step-by-step explanation:

Answer:definition of a supplementary angle

Step-by-step explanation:

in order to get to the next step you need to state what equation you’re substituting for

After simplification we got the above expression in the form 3f + 16m -56

The word "simplify" implies to turn something in a simpler form.

In mathematics, simplify an expression means write an expression in such a way that is comparatively less complicated than before. The main purpose of simplify an expression is to make it easy to solve as well as calculation.

3f + 8(2m-7)

we rearrange the expression by removing the parenthesis.

we remove the parenthesis by multiplying the factors.

3f + 8 × 2m - 8 × 7

3f + 16m -56

the above expression has no like terms to add or subtract so it is kept in this form.

Hence, 3f + 16m -56 is the simpler form.

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Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

The volume of a cuboid is given by the formula V = l * b * h, where l is the length, b is the breadth, and h is the height. In this case, we are given that V = 24 cm^3 and b = 3 cm and h = 2 cm.

We can rearrange the formula to solve for l:

V = l * b * h

l = V / (b * h)

Plugging in the given values, we get:

l = 24 cm^3 / (3 cm * 2 cm)

l = 4 cm

So the length of the cuboid is 4 cm.

The length of the cuboid is 4 cm

Given Data

Volume -24 cm

Breadth-3 cm

Height-2 cm

Length=?

WE KNOW THAT

Volume of a cuboid=Length*Breath*Height

24=Length*3*2

24=Length*6

Length=24/6

Length=4 cm

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Probability is defined as the likelihood or the certainty that an event is going to occur or happen.

The probability of randomly choosing a red and then a green marble is \(3/76\).

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

In simplest fraction form = \(\frac{1}{4}\)

We are told in the question that you keep the red marble you choose, So this means the total number of marbles left reduces to 19

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore, the probability of randomly choosing a red and then a green marble is

P (Red) x P(Green)

= 1/4  x 3/19

= \(3/76\)

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Answer:

Step-by-step explanation:

A coefficient is a number  (integer) which is multiplied with an unknown value (the variable of a single term or the terms of a polynomial).

In this case , n is the variable of a single term and 3 is the coefficient.

Answer:

32cm

Step-by-step explanation:

Answer:

9(4-n)

Step-by-step explanation:

Hope this helps

Tell me if I'm wrong

Answer:

3/10

Step-by-step explanation:

6+3+1=10

since there are 3 blue marbles, we put the 3 into the place of the numerator

and since there is 10 marbles in total it goes into the denominator

The probability that a randomly selected marble is not blue will be 0.70.

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

A bag contains 6 red marbles, 3 blue marbles and 1 green marble.

The total number of the event will be

Total event = 6 + 3 + 1

Total event = 10

Then the probability that a randomly selected marble is not blue will be

Favorable event = 7 {red, green}

Then the probability will be

P = 7 / 10

P = 0.70

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The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

D.AKLM = AKLM

Step-by-step explanation:

because D.AKLM = AKLM is an example of the symmetric property of congruence

The statement which represents the symmetric property of congruence is given by if ΔKLM ≅ ΔPQR , then ΔPQR ≅ ΔKLM

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔKLM

Let the second triangle be represented as ΔPQR

Now , the measure of sides and angles be congruent

So , ΔKLM ≅ ΔPQR

From the symmetric property of congruence ,

If the first figure is congruent to second figure , the second figure is congruent to first figure

ΔKLM ≅ ΔPQR , then ΔPQR ≅ ΔKLM

Hence , the ΔKLM ≅ ΔPQR and they are congruent triangles

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Answer:

the answer is $26.38

Step-by-step explanation:

I hope this helps!

Answer:

A

Step-by-step explanation:

The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.

The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:

h = -4.9(t² - 5.6t) + 0.584

Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:

h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584

Simplifying, we get:

h = -4.9((t - 2.8)² - 2.8²) + 0.584

Expanding further:

h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584

Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328

b) The ball's height when it was hit can be found by evaluating the equation at t = 0:

h = -4.9(0 - 2.8)² + 34.328

h = -4.9(-2.8)² + 4.328

h = -4.9(7.84) + 34.328

h ≈ 0.784 meters

To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.

The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:

0 = -4.9(t - 2.8)² + 34.328

4.9(t - 2.8)² = 34.328

(t - 2.8)² ≈ 7

t - 2.8 ≈ ±√7

t ≈ 2.8 ± √7

Since time cannot be negative in this context, we can ignore the negative value.

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Answer:

7x is monomial according to question.

Answer:

300 dollars

Step-by-step explanation:

each month you get paid 100 and march is the 3rd month and 100x3 is 300

Michelle's balance after two years would be $8977.50.

using the formula to find Michelle’s balance after two years:

balance = principal + (interest rate * principal * time)

where:

- principal = the initial deposit of $8750

- interest rate = 1.3% = 0.013 (as a decimal)

- time = 2 years

Substituting the values, we get:

balance = 8750 + (0.013 * 8750 * 2)

balance = 8750 + 227.5

balance = $8977.50

Therefore, Michelle's balance after two years will be $8977.50.

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Answer:

3.Yes, because triangle ABC has a 90 degree angle.

4.No, because triangle XYZ doesn’t have a 90 degree angle.

The volume of the cylinder would be 2120.6\(units^3.\)

To find the volume of a cylinder, you need to use the formula:

Volume = π x \(radius^2\) x height

Where π (pi) is a mathematical constant approximately equal to 3.14159, radius is the distance from the center of the cylinder to its edge, and height is the distance from one end of the cylinder to the other.

To apply this formula, you need to know the values of the radius and height of the cylinder. Once you have these values, simply substitute them into the formula and solve for the volume.

For example, if the radius of a cylinder is 5 units and the height is 27 units, the volume of the cylinder would be:

Volume = π x \(radius^2\)x height

Volume = 3.14159 x\(5^2\)x 27

Volume = 2120.6 \(units^3\)

Therefore, the volume of the cylinder would be 2120.6\(units^3.\)

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Answer:

to find out how much hector earns a hour we can do

Step-by-step explanation:

210 ÷ 20

I think you missed some writing it doesn't say the whole question. so I'm not really sure^^

Answer: 1256.63706

Step-by-step explanation: A=(π20)2

The approximate area of the circle segment bounded by arc DE and chord DE is approximately 17.72 square units.

To approximate the area of the circle segment bounded by arc DE and chord DE, you can use the following formula:

Area = (1/2) * r^2 * (θ - sinθ)

Where:

r is the radius of the circle (r = 20 in your case).

θ is the central angle in radians (47° converted to radians is approximately 0.8203 radians).

Let's calculate it:

θ = 47° * (π / 180) ≈ 0.8203 radians

Now, plug these values into the formula:

Area = (1/2) * (20^2) * (0.8203 - sin(0.8203))

Area ≈ (1/2) * 400 * (0.8203 - 0.7317)

Area ≈ (1/2) * 400 * 0.0886

Area ≈ 17.72 square units

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The year in which the approximate number of oil barrels imported from Country B per day would be 4.05 million is 2,015.

A linear equation can be defined as an algebraic equation of the first order that has two (2) variables (x, y) with each of its term having an exponent of one (1).

In Mathematics, the standard form of a linear equation is given by the following:

y = mx + c

Next, we would solve the given linear equation for x:

y = 0.064x + 1.49

Subtracting 1.49 from both sides, we have:

4.05 - 1.49 = 0.064x + 1.49 - 1.49

4.05 - 1.49 = 0.064x

2.56 = 0.064x

x = 2.56/0.064

x = 40.

The year in which the approximate number of oil barrels imported from Country B per day would be 4.05 million is given by:

y = 1975 + x

y = 1975 + 40

y = 2,015.

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