THE HCF OF TWO NUMBERS 2952 AND 2256 IS 24 FIND THEIR LCM
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The density function of √u, where u is uniformly distributed on [0,1], is f(v) = 2√v for 0 ≤ v ≤ 1.

To find the density function of √u, where u is uniformly distributed on the interval [0,1], we can use the transformation method.

Let's denote the random variable √u as v = √u. We want to find the probability density function (PDF) of v.

First, we find the cumulative distribution function (CDF) of v:

F(v) = P(v ≤ x) = P(√u ≤ x) = P(u ≤ x²) = x², for 0 ≤ x ≤ 1.

Next, we differentiate the CDF to obtain the PDF of v:

\(\begin{equation}f(v) = \frac{d}{dv} F(v) = \frac{d}{dv} (x^2) = 2x, \quad 0 \leq x \leq 1\)

However, we need to express the PDF in terms of v, not x. Since v = √u, we can substitute x = √v into the PDF:

f(v) = 2√v, for 0 ≤ v ≤ 1.

Therefore, the density function of √u is f(v) = 2√v, for 0 ≤ v ≤ 1.

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There is only one vowel (A) in the first ticket, and there are no vowels in the second ticket. Therefore, there is only 1 way to choose 2 vowels from the 2 available. So the probability of getting both tickets as vowels is:Probability = 1/30

A box contains six tickets: AABBBE. Two tickets are removed, one after the other. The probability that both tickets are vowels is $\fraction{1}{15}$.In order to find out the probability that both tickets are vowels, it is important to know the total number of possible outcomes as well as the number of favorable outcomes. The formula for probability is:Probability of event

= number of favorable outcomes / total number of possible outcomes.The total number of possible outcomes when two tickets are removed, one after the other from a box containing six tickets can be found using permutations. The first ticket can be removed in 6 ways, and the second ticket can be removed in 5 ways, so the total number of ways to remove two tickets is 6 x 5

= 30. This is the total number of possible outcomes.The number of favorable outcomes is the number of ways to choose 2 vowels from the 2 available, divided by the total number of possible outcomes. There is only one vowel (A) in the first ticket, and there are no vowels in the second ticket. Therefore, there is only 1 way to choose 2 vowels from the 2 available. So the probability of getting both tickets as vowels is:Probability

= 1/30

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Answer:

Step-by-step explanation:

Answer:

x = \(\frac{1}{2}\)

Step-by-step explanation:

18x = 9
=> x = \(\frac{9}{18}\) (on transposing from LHS to RHS)
=> x = \(\frac{1}{2}\)
Hence the equation can be true when the value of x is  \(\frac{1}{2}\) .
Hope you understood!!

The probability is 0.766

To determine the probability that a student earned an A on the test assuming the grades are distributed normally, we need to refer to the standard deviation and class average.

In a normal distribution, grades are typically standardized using z-scores. A z-score measures the number of standard deviations a particular value is away from the mean.

To calculate the probability of a student earning an A, we need to determine the z-score corresponding to the A cutoff.

The specific cutoff for an A grade will depend on the grading criteria or policy of the class. Let's assume an A cutoff corresponds to a score of 90.

First, we need to convert the raw score of 90 to a z-score using the formula:

z = (x - μ) / σ

Where:

- x is the raw score (90 in this case),

- μ is the mean (class average, 82),

- σ is the standard deviation (11).

Calculating the z-score:

z = (90 - 82) / 11 ≈ 0.727

Now, we can use a standard normal distribution table or a calculator to find the probability associated with the z-score. The probability will be the area under the curve to the left of the z-score.

Using a standard normal distribution table or calculator, the probability corresponding to a z-score of 0.727 is approximately 0.766.

Therefore, the probability that a student earned an A is approximately 0.766 (rounded to the nearest thousandth).

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Answer:

the answer is 109.20

Answer:

It will be B. You’ll have an open circle on 4 with the arrow pointing left.

Step-by-step explanation:

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

7800

Step-by-step explanation: :)

Answer:

4.372×10^13

Step-by-step explanation: The question is asking "How much more does this one thing weigh than this other thing?" Like how much more does my cat weigh than this bowling ball? Just that, the things are really, really, really BIG! But, we're just going to subtract the two numbers, that's all. So, unfortunately, they are asking you to "show work" bc literally, you could punch these two numbers into a calculator and hit enter. But, let's see how we can "show work"!

The iceberg is the bigger number because of the exponent 13.

4.55×10^13 is

45500000000000.

That's a mess to work with but thought you might want to know/see it.

The Rock is 1.78×10^12 which is

1780000000000.

Again, not easy to work with, but there it is.

(4.55×10^13) - (1.78×10^12)

Change both to 10^13.

(4.55×10^13)-(.178×10^13)

factor out the 10^13.

10^13(4.55 - 1.78)

subtract.

10^13(4.372)

write in scientific notation.

4.372 × 10^13

You could subtract those two crazy long numbers with all the zeros. And then convert to scientific notation. It will come out the same.

The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29

1. d. QS ≅ ST.

2. a. ∠A and ∠D are right angles.

3. D is the midpoint of segment AC (statement 2)

Definition of midpoint (reason 3)

SSS postulate (reason 5)

4. b. AC ≅ DC.

5. c. ∠ABC ≅ DBC.

The midpoint of a segment is where the segment is divided into two equal parts.

Thus, in question one, the statement that matches the reason in step 2 is: d. QS ≅ ST.

Two lines that are perpendicular to each other will form right angle where they intersect each other.

Therefore, in question 2, the statement for step 2 reason is: a. ∠A and ∠D are right angles.

For question 3, the statement for the reason in step 2 is D is the midpoint of segment AC; the reason in step 3 why AD ≅ CD is: definition of midpoint, while both triangles are congruent to each other based on SSS postulate.

In question 4, since BC bisects segment AD, therefore, the statement for reason 2 is: b. AC ≅ DC.

In question 5, since BC bisects angle ABD, therefore, the statement for reason 2 is: c. ∠ABC ≅ DBC.

In summary, applying the definition of midpoint among other definitions, the missing statements or reasons in the two-column proofs are:

1. d. QS ≅ ST.

2. a. ∠A and ∠D are right angles.

3. D is the midpoint of segment AC (statement 2)

Definition of midpoint (reason 3)

SSS postulate (reason 5)

4. b. AC ≅ DC.

5. c. ∠ABC ≅ DBC.

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Given that the vertex of the function is at the point (0, 0.5).We are required to find the recommended amount of mulch for a flowerbed with a radius of 20 feet.

Let us find the equation of the parabola with the vertex at (0,0.5).

The general equation of the parabola is given as:y = a(x - h)² + k

Where(h, k) = (0, 0.5)

=> h = 0 and k = 0.5

Therefore, the equation of the parabola is:

y = a(x - 0)² + 0.5y = ax² + 0.5

We have another point on the parabola given as (20, 2).We can use this point to find the value of a.

Substituting the point (20, 2) in the equation of the parabola we get:

2 = a(20)² + 0.52

= 400a + 0.5a

= 1.5/400

a = 3/8000

Substituting the value of a in the equation of the parabola, we get:

y = (3/8000)x² + 0.5

Let us now find the volume of the flowerbed with a radius of 20 feet.We know that the flowerbed is in the shape of a hemisphere.

Hence,Volume of the flowerbed = (2/3)πr³ = (2/3) × π × (20)³

= 33,510.32 cubic feet

Let us find the height of the flowerbed at a distance of 20 feet from the center.The distance from the center of the flowerbed to the edge is 20 feet.

Therefore, the point on the parabola at a distance of 20 feet from the origin will be (20, h).Let us find the value of h.

Substituting x = 20 in the equation of the parabola, we get:

h = (3/8000)(20)² + 0.5

= 0.8 feet

The height of the flowerbed at a distance of 20 feet from the center is 0.8 feet.The volume of the mulch required will be the volume of the hemisphere with radius 20 and height 0.8 feet.

Volume of mulch required = (2/3)πr²h

= (2/3) × π × (20)² × 0.8

= 6716.32 cubic feet

Therefore, the recommended amount of mulch for a flowerbed with a radius of 20 feet is 6716.32 cubic feet.

Therefore, the recommended amount of mulch for a flowerbed with a radius of 20 feet is 6716.32 cubic feet.

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To achieve an average cost per text message of $0.05 on the monthly cell phone plan, a certain number of additional text messages beyond the first 300 need to be used.

The monthly cell phone plan charges a fixed amount of $5.00 for the first 300 text messages and an additional $0.15 for each extra message. To find the number of text messages needed to achieve an average cost of $0.05 per message, we can set up an equation.

Let's denote the total number of text messages used as "x" (including the first 300 messages). The cost for the first 300 messages is $5.00, and the cost for the additional messages is (x - 300) * $0.15. The total cost is the sum of these two amounts.

To find the average cost per message, we divide the total cost by the number of messages: (5 + 0.15 * (x - 300)) / x = 0.05. By solving this equation, we can determine the value of x, which represents the number of text messages needed to achieve an average cost per message of $0.05.

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To achieve an average cost per text message of $0.05 on the monthly cell phone plan, a certain number of additional text messages beyond the first 300 need to be used.

The monthly cell phone plan charges a fixed amount of $5.00 for the first 300 text messages and an additional $0.15 for each extra message. To find the number of text messages needed to achieve an average cost of $0.05 per message, we can set up an equation.

Let's denote the total number of text messages used as "x" (including the first 300 messages). The cost for the first 300 messages is $5.00, and the cost for the additional messages is (x - 300) * $0.15. The total cost is the sum of these two amounts.

To find the average cost per message, we divide the total cost by the number of messages: (5 + 0.15 * (x - 300)) / x = 0.05. By solving this equation, we can determine the value of x, which represents the number of text messages needed to achieve an average cost per message of $0.05.

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Elsa can correct her mistake by informing that Carson's pumpkin weighs 1/2 pounds instead of 3/4 pounds.

Weight is a measure of the force exerted on an object due to gravity. It is the gravitational force acting on an object's mass. The weight of an object depends on its mass and the strength of the gravitational field it is in.

Weight plays a significant role in various fields such as physics, engineering, sports, and everyday life. It determines the force exerted by objects on surfaces, affects the performance of structures and vehicles, and is relevant in areas like weightlifting, aviation, and space exploration.

Given that Elsa pumpkin weighs 2/4 pounds and is 1/4 pound heavier than Carson's pumpkin.

Elsa thinks that Carson's pumpkin must weight 3/4 pound.

To find out how Elsa can correct her mistake, let's assume the weight of Carson's pumpkin to be x pounds.

It is given that Elsa's pumpkin weighs 1/4 pound heavier than Carson's pumpkin.

Therefore, Elsa's pumpkin weighs (x + 1/4) pounds. As per the question, Elsa thinks that Carson's pumpkin weighs 3/4 pounds.

But according to the information provided in the question, Elsa's pumpkin weighs (x + 1/4) pounds.

So, it can be inferred that: (x + 1/4) = 3/4⇒ x + 1/4 - 1/4 = 3/4 - 1/4⇒ x = 1/2

Therefore, Carson's pumpkin weighs 1/2 pounds which is different from what Elsa thought.

Therefore, Elsa can correct her mistake by informing that Carson's pumpkin weighs 1/2 pounds instead of 3/4 pounds.

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Answer:

10

Step-by-step explanation:

5 + 5 is ten.

If you have five apples, and someone gives you five more, you would have ten apples in total. Then you would have a lot of apples! ><

Hope this helps!

Answer:

10

Step-by-step explanation:

Answer: it would be 12

Step-by-step explanation: because if you times 12 twice you would get 144

Answer:

0.82

Step-by-step explanation:

A： area =2( 0.8*0.6*+0.6*1+0.8*1) =2(0.48+0.6+0.8)=2*1.88 =3.76

B：area = 2(1.4*0.5+0.5*1.2+1.4+1.2) =2(0.7+0.6+1.68)=2*2.98=5.96

total 9.72

cost = $6.79* 9.72/80 =$0.82

Answer:

64,339 = π(r^2)(20)

r^2 = 1,023.987

r = 32 ft

Answer:

The table on the far left

Step-by-step explanation:

We know this table is a linear function because the y values increase with a constant speed (in that table, the speed is \(\frac{1}{2}\))

The measure of the side J of the triangle ΔIJK will be 43 units.

The law of sines defines the ratio of triangle sides, and their respective sine angles are equivalent. The law of sines is also known as the sine law, sine rule, and sine formula.

Given that in the triangle i = 100 inches,  m∠I=115° and m∠J=23°. The measure of the length J will be calculated as:-

100 / sin115 = J / sin23

J = (100) x sin23 / sin115

J = 100 x 0.43

J = 43 units

The length of side J will be 43 units.

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Answer:

only C is non-linear

Step-by-step explanation:

A linear equation is of the form;

y = mx + c

we have single powers of x and y; also, there is no product of x and y

Thus, we have;

a; 12x + 3y = 7

y =( -12x + 7)/3

this shows we have a linear equation

b. y + x = 4x + 5

y = 4x-x + 5

y = 3x + 5

This is a linear equation

c. y = 8/x^2

This is non-linear; we already have one power of x as 2

Answer:

5.4

Step-by-step explanation:

3x+38=10x

-3x         -3x

38=7x

x=5.4

Brainliest pleaseeeeeee

Answer:

Angle LMO = 50°

Step-by-step explanation:

1) We need to solve for x.

We know angle LMN = 90°, and that angles LMO and NMO add up to angle LMN. That gives us this equation:

3x + 38 + 10x = 90

Now, we solve for x!

Combine like terms

13x + 38 = 90

Subtract 38 from both sides

13x = 52

Divide both sides by 13

x = 4

Now we know what x is.

2) Plug in x to angle LMO's given value (3x + 38)

3(4) + 38 = angle LMO

12 + 38 = angle LMO

50° = angle LMO

Answer:

Car M:

50.4/2 = 25.2

car M uses up 1 gallon every 25.2 miles

Car P:

Just from the graph, you can see that it uses up 1 gallon every 30 miles

The two graphs vary the /miles slightly but it is around their zones of 25.2 and 30. It varies slightly because the cars may be traveling at a fast speed or slower speed thus using up more or less fuel by the time they've reached the recorded distances on the graphs.

Answer:

112 Degrees

Step-by-step explanation:

46+90=136

360-136=224

224/2=112

112 Degrees

Answer:

122

Step-by-step explanation:

46 + 90 = 136

360 - 136 = 224

224 ÷ 2 = 122

Answer:

sss axiom

Step-by-step explanation:

Answer:

wa pow

Step-by-step explanation: