What is 50/45 simplified

Answer:

Her estimate is greater than the actual height because both factors were rounded up.

Step-by-step explanation:

Given that:

Height per floor of doll house = 1.6m

Total number of floors in doll house = 2.5

Estimated height of doll house = 2 *3 = 6 meters

Actual height of doll house :

1.6m * 2.5 = 4 meters

Her estimate is greater than the actual height because both factors were rounded up.

Height per floor of 1.6m was rounded to 2m

Number of floors, 2.5 was rounded to 3

Hence, the cause of overestimation

Answer:

It's A for all da peeps dat dont feel like reading. ->-

Step-by-step explanation:

Answer:

54fhuuyfghhhrfbifgifd

The maximum and minimum values of the function is solved

Given data ,

We can find the maximum and minimum values of the function by taking the derivative of y with respect to x and setting it equal to zero.

y = (sin x)³ - (sin x)⁶

y' = 3(sin x)² cos x - 6(sin x)⁵ cos x

Setting y' equal to zero:

0 = 3(sin x)² cos x - 6(sin x)⁵ cos x

0 = 3(sin x)² cos x (1 - 2(sin x)³)

sin x = 0 or (sin x)³ = 1/2

If sin x = 0, then x = kπ for any integer k.

If (sin x)³ = 1/2, then sin x = (1/2)^(1/3) ≈ 0.866. This occurs when x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3 for any integer k.

To determine whether these values correspond to a maximum or minimum, we can use the second derivative test.

y'' = 6(sin x)³ cos² x - 15(sin x)⁴ cos² x - 9(sin x)⁴ cos x + 6(sin x)⁵ cos x

y'' = 3(sin x)³ cos x (4(sin x)² - 5(sin x)² - 3cos x + 2)

For x = kπ, y'' = 3(0)(-3cos(kπ) + 2) = 6 or -6, depending on the parity of k. This means that these points correspond to a maximum or minimum, respectively.

For x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3, y'' = 3(1/2)^(5/3) cos x (4(1/2)^(2/3) - 5(1/2)^(1/3) - 3cos x + 2). This expression is positive for x = π/3 + 2kπ/3 and negative for x = 5π/3 + 2kπ/3, which means that the former correspond to a minimum and the latter to a maximum.

Hence , the maximum value of the function is y = 27/64, which occurs at x = 5π/3 + 2kπ/3, and the minimum value is y = -1/64, which occurs at x = π/3 + 2kπ/3

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Answer:

Step-by-step explanation:

You want the maximum and minimum values of the function ...

  y = sin³(x) -sin⁶(x)

When we substitute sin³(x) = z, we have the quadratic expression ...

  y = z -z² . . . . . a quadratic function

Adding and subtracting 1/4, we can put this in vertex form:

  y = -(z -1/2)² +1/4

This version of the function describes a parabola that opens downward and has a vertex at (z, y) = (1/2, 1/4). The y-value of the vertex represents the maximum value of the function.

The maximum value of y is 1/4.

The sine function is a continuous function with a range of [-1, 1]. Then z will be a continuous function of x, with a similar range. We already know that y describes a function of z that is a parabola opening downward with a line of symmetry at z = 1/2. This means the most negative value of y will be found at z = -1 (the value of z farthest from the line of symmetry). That value of y is ...

  y = (-1) -(-1)² = -1 -1 = -2

The minimum value of y is -2.

__

Additional comment

The range of y is confirmed by a graphing calculator.

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The average rate of change between 1991 and 1996 is 40 million

The given parameters are:

Population in 1991 = 1.5 billion

Population in 1996 = 1.7 billion

The average rate of change between 1991 and 1996 is calculated as:

Rate = (1.7 billion -1.5 billion)/(1996 - 1991)

Evaluate

Rate = 40 million

Hence, the average rate of change between 1991 and 1996 is 40 million

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187.6miles

Step-by-step explanation:

blue ridge parkway is 469miles

sam drove 2/5 of the parkway

2/5×469

=469×2/5

938/5

187.6miles

The amount of work done is Option A) 12 N/m

Work done is simply defined as the product of the magnitude of displacement, (d) and the component of the force that in the direction of displacement.

It measures energy transfer that occurs when an object is moved to a distance by an external force which is applied in the direction of the displacement.

Work done on a body is equivalent  to the increase in the energy of the body, because it transfers energy to the body.

The formula for work done is;

W = fd

Where, 'f' is the applied force and d is the distance

Substitute the values

Work done = 6(2)

Work done = 12 N/m

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The length of AC is 12.5 and the length of AD is 3.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees

Given triangle ABC,

and D is a point on AB and E is a point on AC,

and forms a triangle ADE,

and  DE is parallel to AC,

taking ΔABC and ΔBDE

∠B = ∠B  (common angle)

because DE is parallel to AC, so corresponding angles are equal,

so ∠A = ∠D

and ∠C = ∠E

ΔABC ≈ ΔBDE (triangles are similar)

since both triangles are similar the ratio of their corresponding sides is equal,

AB/BD = AC/DE = BC/BE

given BD = 2, BE = 4, DE = 5 and EC = 6

BC = EC + BE = 4 + 6

BC = 10

AC/DE = BC/BE

AC = 5(10/4)

AC = 12.5

and AB/BD = BC/BE

AB = 2(10/4)

AB = 5

AD = AB - BD

AD = 5 - 2

AD = 3

Hence AC = 12.5 and AD = 3.

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The figure is in image.

Answer:

2/5.

Step-by-step explanation:

To find the denominator, you add all of the times the experiment has been done.

6 + 9 = 15.

Then, since they're asking about purple shirts, you put that as the numerator.

Making it 6/15.

To simplify, divide both sides by 3, making it 2/5 simplified.

The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

To find the denominator, you add all of the times the experiment has been done.

6 + 9 = 15.

Then, since they're asking about purple shirts, you put that as the numerator.

Making it 6/15.

To simplify, divide both sides by 3, making it 2/5 simplified.

Hence, The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.

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160,000 / 677 = 293.88 months

Hope this helps.

Answer:

(3.5,4)

Step-by-step explanation:

add and divide by 2

(7,8)

(3.5,4)

plsss mark me brainliesttttt

Answer:

The larger number is 20.

Step-by-step explanation:

Let x and y be the two numbers.

y = 2x + 4

x + y = 28

So x + 2x + 4 = 28

3x = 24

x = 8

y = 20

Answer:

3.5 km

Step-by-step explanation:

The order from smallest to largest is 0.079 inches, 0.7 inches, 0.7091 inches, 0.762 inches.

What is a sequence?

A Sequence is a set of things (usually numbers) that are in order. Each number in the sequence is called a term (or sometimes "element" or "member"), read Sequences and Series for a more in-depth discussion.

To arrange the given numbers in order from smallest to largest, we can simply compare them to each other and order them accordingly:

0.079 inches < 0.7 inches < 0.7091 inches < 0.762 inches

Therefore, the order from smallest to largest is 0.079 inches, 0.7 inches, 0.7091 inches, 0.762 inches.

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Answer:

5/6

Step-by-step explanation:

There are 6 points (discounting the one at the beginning for 0). That means it's fractions of 6. Point C is on the 5th point, meaning it's 5/6ths of the way to 1, meaning that point C is, indeed, 5/6th.

Answer:

∠1 = ∠3 = ∠5 = ∠7 = 72°

∠2 = ∠4 = ∠6 = ∠8 = 180° -72° = 108°

∠13 = ∠14 = ∠15 = ∠16 = ∠17 = ∠18 = ∠19 = ∠20 = 90°

∠10 = ∠12 = 90° -72° = 18°

∠9 = ∠11 = 180° -18° = 162°

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 18 I think?

Answer:

18

Step-by-step explanation:

6 (legs) x 3 (ants) = 18 legs

It can also be represented as 6+6+6 (18)

hope this helps :)

The probability that a person who tests positive actually has the disease is approximately 0.194.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. Probabilities ranging from 0 to 1 reflect occurrences that are probable but not guaranteed.

P(A) denotes the probability of an event A as the ratio of the number of possibilities that favour event A to the total number of potential outcomes. In other words, it is the number of possible outcomes for event A divided by the total number of possible outcomes.

Now,

To compute the probability that a person who tests positive actually has the disease, we can use Bayes' theorem, which states that:

P(A|B)=P(B|A)*P(A)/P(B)

where A and B are events, P(A | B) is the probability of event A when event B has occurred, P(B | A) is the probability of event B when event A has occurred, P(A)= prior probability of event A, and P(B) = prior probability of event B.

In this case, let A be the event of having the disease and B be the event of testing positive.

The incidence rate of the disease is 0.8%, which means that P(A) = 0.008.

The false negative rate is 6%, which means that P(B' | A) = 0.06 (where B' is the complement of event B, i.e., testing negative given that the person has the disease).

The false positive rate is 3%, which means that P(B | A') = 0.03 (where A' is the complement of event A, i.e., not having the disease).

We can compute P(B) using the law of total probability:

P(B) = P(B|A)*P(A) + P(B|A')*P(A')

= (1-P(B'|A))*P(A)+P(B|A')*(1-P(A))

= (1 - 0.06) * 0.008 + 0.03 * (1 - 0.008)

= 0.0328

Now we can use Bayes' theorem to compute P(A | B):

P(A | B) = P(B | A) * P(A) / P(B)

= (1 - P(B' | A)) * P(A) / P(B)

= (1 - 0.06) * 0.008 / 0.0328

= 0.194

Therefore,

                 the probability will be 0.194.

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Answer:

8/8 (then entire number) is 16

Step-by-step explanation:

4/2 = 2

2x8=16

so 8/8=16

A quarter is when something is divided into 4 equal parts. The correct option is D.

A quarter is when something is divided into 4 equal parts , A year has a quarter of 3 months.

It is given that Mark Invests  $150 at the beginning of each quarter in stock ABC.

According to the data given

In Q1, the price of the share is $15

150/15 = 10 shares

In Q2, the price of the share is $16

150/16 = 9 shares approx

In Q3, the price of the share is $13

150/13 = 11 approx

In Q4, the price of the share is $18

15/18 = 8

Therefore, the total shares = 10+9+11+8 = 38 shares approx.

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The number of color are possible  \(\left n} \atop }} \right. C _r = 1215450\)

Step-by-step explanation:

From the question we are told that  

   The number of  colors is  r = 4

    The sample size n =  75

The number of color that are possible can be mathematically evaluated as

       \(\left n} \atop }} \right. C _r = \frac{n !}{ (n-r)! r!}\)

substituting values

         \(\left n} \atop }} \right. C _r = \frac{75 !}{ (75-4)! 4!}\)

       \(\left n} \atop }} \right. C _r = \frac{75 !}{ (71)! 4 !}\)

       \(\left n} \atop }} \right. C _r = \frac{75 *74 * 73* 72 * 71!}{ (71)! (4*3*2 *1)}\)

        \(\left n} \atop }} \right. C _r = 1215450\)

the pipeline needs to be extended by approximately 40,020 km.

What are Distance?

The distance an object travels in athe predetermined period of time. Here is a word equation that illustrates the connection between space, speed, and time: velocity is calculated by dividing the total Distance traveled by the journey time.

To find the additional length of the pipeline needed to raise it by 10 km at each point, we need to calculate the length of the new circle formed by the pipeline.

The radius of the Earth is 6371 km, and we want to raise the pipeline by 10 km at each point. This means that the new radius of the Earth will be 6371+10 = 6381 km.

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. So the circumference of the new circle formed by the pipeline will be:

C = 2π(6381) = 40,075 km

The original length of NorNed is 580 km. To find out how many times longer the new pipeline needs to be, we divide the new circumference by the original length:

40,075 km / 580 km ≈ 69.2

So the pipeline needs to be extended by approximately 69 times its original length.

To find the additional length of the pipeline needed, we subtract the original length of 580 km:

69 × 580 km = 40,020 km

Therefore, the pipeline needs to be extended by approximately 40,020 km.

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Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

Given A \(= \{a,b,c,d\}A={a,b,c,d} and B = \{c,d,e,f,g\}B={c,d,e,f,g} .\)

\(R_1 = \{(a,c), (b,d), (c,e)\}, R_2 = \{(a,c), (a,g), (b,d), (c,e), (d,f)\}, \\ R_3 = \{(a,c), (b,d), (c,e), (d,f)\}\)

A relation is a function when every element of set A has image in B and a element of set A can-not have more than one image in set B.

So, Relation \(R_3\) is a function.

(c) Given \(f\) is a real valued function defined by \(f(x) = x^2 - 9\).

(I) Function is defined for all real values of \(x\). Hence,

Domain of \(f=R\)

(ii) Now, as \(x^2 \geq 0\) \(\implies\) \(x^2-9 \geq -9x\)

Hence, Range of f=[−9,∞)

(iii) Representation of \(f\) as a set of ordered pair = \(\{ (x,x^2-9) : x \in R\}\)

Answer:

Below

Step-by-step explanation:

I suppose you are looking for the ORIGINAL price

x = original

 32% is .32 in decimal

    so    .32 * x = $ 179.20

                     x = 179.20/.32 = $ 560.

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.