Which arrangement shows 27/5, 5.36, 5 3/5, 33/6 in order from least to greatest?

Answer:

-10, -6

6, 10

Step-by-step explanation:

Let the one number be x.

One number is 3/5 of the other number.

The numbers are x and 3x/5.

Add 4 to one number, the sum equals the other number.

There are two possibilities.

A) x + 4 = 3x/5

B) 3x/5 + 4 = x

Solve A)

5x + 20 = 3x

2x = -20

x = -10

Solve B)

3x + 20 = 5x

2x = 20

x = 10

According to A)

x = -10

3x/5 = -6

According to B)

x = 10

3x/5 = 6

Answer:

-10, -6

6, 10

Answer:

As the sample size is large enough, i.e. n = 198 > 30 the central limit theorem can be applied to describe the sampling distribution for the sample proportion of children who are​ nearsighted.

Step-by-step explanation:

Let the random variable p denote the proportion of children affected by nearsightedness.

The previously known proportion was, p = 0.12.

A random sample of n = 198 children are selected.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

\(\mu_{\hat p}=p\)

The standard deviation of this sampling distribution of sample proportion is:

\(\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}\)

As the sample size is large enough, i.e. n = 198 > 30 the central limit theorem can be applied to describe the sampling distribution for the sample proportion of children who are​ nearsighted.

Answer:

0.84 = 84% probability that fewer than 3 of the parts are defective.

Step-by-step explanation:

For each part, there are only two possible outcomes. Either it is defective, or it is not. The probability of a part being defective is independent of any other part, and thus, the binomial probability distribution is used 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.

A machine that manufactures automobile parts produces defective parts 16% of the time.

This means that \(p = 0.16\)

9 parts:

This means that \(n = 9\)

What is the probability that fewer than 3 of the parts are defective?

This is:

\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)\)

In which

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

\(P(X = 0) = C_{9,0}.(0.16)^{0}.(0.84)^{9} = 0.2082\)

\(P(X = 1) = C_{9,1}.(0.16)^{1}.(0.84)^{8} = 0.3569\)

\(P(X = 2) = C_{9,2}.(0.16)^{2}.(0.84)^{7} = 0.2720\)

\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2082 + 0.3569 + 0.2720 = 0.8371\)

Rounding to two decimal places, 0.84.

0.84 = 84% probability that fewer than 3 of the parts are defective.

Answer:

y = 4

Step-by-step explanation:

Since the line if parallel to the x-axis, regardless of the value of x, y will be equal to 4.  In general, then, the points on the line are (x,4), where x is any value, including 1.

Answer:

70 degrees

Step-by-step explanation:

Find the diagram attached

The sum of the angles is supplementary that is

45 + 2x- 5 = 180

2x + 40 = 180

2x = 180 - 40

2x = 140

x = 140/2

x = 70

Hence the value of x is 70 degrees

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Hi tag brainliest ❣️

Thanks

Since the shaded area equal 4

our answer is A

that is the number of shaded area ÷ the total number of points

-

63 mg of anesthetic is present in the patient’s circulatory system.

The operation can last for 20 minutes.

During surgery, a patient’s circulatory system requires at least 50 mg of an anesthetic. The amount of anesthetic present t hours after 70 mg of anesthetic is administered is given by the following,

T(t) = 70 × (0.727) ^t

Time = 1/3 hours

T (1/3) = 70 × (0.727) ^1/3

            = 70 × ∛ 0.727

             = 70 × 0.899176

            = 62.94232

To the nearest mg: 63mg

Now,

63 = 70 × (0.727) ^t

63/70 = (0.727) ^t

0.9 = (0.727) ^t

Log0.9 = log (0.727) ^t

Log0.9 = t × log (0.727)  

T = log0.9 / log0.727

T = 0.330461

T = 0.330461 hours

  = 20 minutes

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Answer:

the answer was 7.71

Step-by-step explanation:

hope this helps

A fraction is usually split into two parts: the first part is the number on top, called the numerator; and the second part is the number on the bottom, called the denominator. These are both separated by a line called the “divisor line”. We can use the division method help to solve this question: to get a decimal, simply divide the numerator 54 by the denominator 7 (which you can enter in any calculator):

54 (numerator) ÷ 7 (denominator) = 7.71

And finally, you get 7.71 as your answer when you convert 7 5/7 (or 54/7) to a decimal.

Answer:

7.71

Step-by-step explanation:

This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.

Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.

Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.

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Answer:

28.4707

Step-by-step explanation:

Answer:

120m²

Step-by-step explanation:

length x width = 12 x 10

= 120

The limit of the given function as x approaches 1 is 0.

To find the limit of the given function as x approaches 1, we need to evaluate the expression by substituting x = 1. Let's break it down step by step:

1. Begin by substituting x = 1 into the numerator:

\(\[12\sin\left(\frac{\pi}{2}\cdot 1\right)\ln(1) = 12\sin\left(\frac{\pi}{2}\right)\ln(1) = 12(1)\cdot 0 = 0\]\)

2. Now, substitute x = 1 into the denominator:

(1³ + 5)(1 - 1) = 6(0) = 0

3. Finally, divide the numerator by the denominator:

0/0

The result is an indeterminate form of 0/0, which means further analysis is required to determine the limit. To evaluate this limit, we can apply L'Hôpital's rule, which states that if we have an indeterminate form 0/0, we can take the derivative of the numerator and denominator and then evaluate the limit again. Applying L'Hôpital's rule:

4. Take the derivative of the numerator:

\(\[\frac{d}{dx}\left(12\sin\left(\frac{\pi}{2}x\right)\ln(x)\right) = 12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{x} + \frac{\sin\left(\frac{\pi}{2}x\right)\ln(x)}{x}\right)\]\)

5. Take the derivative of the denominator:

\(\[\frac{d}{dx}\left((x^3 + 5)(x - 1)\right) = \frac{d}{dx}\left(x^4 - x^3 + 5x - 5\right) = 4x^3 - 3x^2 + 5\]\)

6. Substitute x = 1 into the derivatives:

Numerator: \(\[12\left(\cos\left(\frac{\pi}{2}\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{1} + \sin\left(\frac{\pi}{2}\right) \cdot \frac{\ln(1)}{1}\right) = 0\]\)

Denominator: 4(1)³ - 3(1)² + 5 = 4 - 3 + 5 = 6

7. Now, reevaluate the limit using the derivatives:

lim as x approaches 1 of \(\[\frac{{12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{{-1}}{{x}} + \sin\left(\frac{\pi}{2}x\right) \cdot \frac{{\ln(x)}}{{x}}\right)}}{{4x^3 - 3x^2 + 5}}\]\)

= 0 / 6

= 0

Therefore, the limit of the given function as x approaches 1 is 0.

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Applying precedence of operations, the result of the expression is of 161.

Power operations are done before multiplication/division, which are also done before addition/subtraction.

Operations inside brackets or parenthesis also take precedence.

In this problem, the operation is:

[3 x 2^5 + 13 x (-2)] + 7[8 - (4 - 9)]

First the power:

[3 x 32 + 13 x (-2)] + 7[8 - (4 - 9)]

Now the multiplications on the first bracket, and the subtraction on the second:

[96 - 26] + 7[8 - (-5)]

Then, applying the parenthesis to the negative number, we have that:

[96 - 26] + 7[8 - (-5)] = 70 + 7 x 13 = 161.

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\(\huge\text{Hey there!}\)

\(\mathsf{3 \times 2^5 + 13(-2)] + 7[8 - (4 - 9)]}\)

\(\mathsf{= 3\times32 + 13\times -2 + 7[8 - (4 - 9)] }\)

\(\mathsf{= 96 + 13\times -2 + 7(8 - (4 - 9))}\)

\(\mathsf{= 96 - 26 + 7(8 - (4 - 9))}\)

\(\mathsf{= 70 + 7(8 - (4 - 9))}\)

\(\mathsf{= 70 + 7(8 - (-5))}\)

\(\mathsf{= 70 + 7\times13}\)

\(\mathsf{= 70 + 91}\)

\(\mathsf{= 161}\)

\(\huge\text{Therefore, your answer should be: }\)

\(\huge\boxed{\frak{161}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

5

Step-by-step explanation:

You should double check.

The volume of the pyramid is 400 cubic cm and the surface area is

340 sq cm.

A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces.

The number of sides on its base is equal to the number of lateral faces. The line segments that two faces intersect to form its edges. The intersection of three or more edges forms a vertex.

The volume of a pyramid is = (1/3)×l×w×h and the surface area of a pyramid is (1/2)×PL + B, where P = perimeter of the base, L = height, and

B = area of the base.

Therefore, The volume is =  (1/3)×10×10×12 cubic cm.

= 1200/3 cubic cm.

= 400 cubic cm

And, The total surface area is,

= (1/2)[2(10 + 10)×12 + (10×10) sq cm.

= 240 + 100 sq cm.

= 340 sq cm.

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With "near doubles facts" or "doubles facts plus one," the actual magic happens. When we observe 7+8, we know that 8 is one more than 7, since we already know that 7+7=14. Thus, 15 is one greater than 14. So, 15 is the answer.

We can also consider the fact that it is one less than the doubles. We are aware that 7 + 7 = 14. I then realise that 6 is one less than 7 when I see 7 plus 6. 14 minus one equals 13, thus.

Thus, our knowledge of ten items with doubles increased to approximately 33 information with near doubles! Therefore, it's a really effective tactic!

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Answer:

m a g i c  t h a t ' s  h o w

Answer:

-a+11

Step-by-step explanation:

hard to explain. but should be correct

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

The first step in simplifying the inequality is to divide both sides by -14:

Since we are dividing both sides by a negative number, the inequality reverses direction, and hence it becomes

This is the farthest we can go in simplifying the inequality; therefore, the above inequality is our answer

Check the picture below.

The volume of the solid of revolution formed by revolving the region bounded by f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis is 16π cubic units.

To find the volume of the solid of revolution formed by revolving the region bounded by the curves f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis, we can use the method of cylindrical shells and integrate.

First, let's find the points of intersection between the two curves by setting them equal to each other:

-3x² + 8 = 3x² + 2

Rearranging the equation, we get:

6x² = 6

x² = 1

x = ±1

So, the curves intersect at x = -1 and x = 1.

To calculate the volume, we'll integrate along the x-axis from x = -1 to x = 1. The volume of each cylindrical shell can be determined by multiplying the circumference (2πy) by the height (dx), where y represents the distance from the axis of revolution to the curve at a given x-value.

The radius of the cylindrical shell, y, can be obtained by subtracting the lower curve (f(x)) from the upper curve (g(x)). Therefore, y = (3x² + 2) - (-3x² + 8) = 6x² - 6.

The integral to compute the volume of the solid can be expressed as:

V = ∫[from -1 to 1] 2π(6x² - 6) dx

V = 2π ∫[from -1 to 1] (6x² - 6) dx

Simplifying and evaluating the integral, we get:

V = 2π [2x³ - 6x] [from -1 to 1]

V = 2π [(2(1)³ - 6(1)) - (2(-1)³ - 6(-1))]

V = 2π [2 - 6 - (-2 + 6)]

V = 2π [8]

V = 16π

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

The volume of a cube is the product of its dimensions. Since all three dimensions have the same length, we just need to multiply the length of one dimension 3 times.

So if one dimension of the building block is equal 1/12x^2, we have that:

So the volume of the building block is equal (1/1728)x^6.

Answer:

Anthony T. answered • 03/17/21

TUTOR 5 (52)

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First, let's ask ourselves what do we want to know? We want to know how many cups of small and large lemonades were sold. Let's let S = # of small cups, and L the # of large cups.

It says she sold a total of 155 cups; that means S + L = 155. So this is one equation.

Next it says she made a total of $265. The small cups sold for $1.25 each, so she made $1.25S amount of money on these. It also says she sold large cups for $2.50 each, so she made $2.50L on these.

So, if we add up the money she made from each size, we can say 1.25S + 2.50L = 265.

Now we have two equations with 2 unknowns, and we can solve by either elimination or substitution. Let's solve it by substitution.

As S + L =155, L = 155 - S. Put this expression for L into the second equation.

1.25S + 2.50(155-S) = 265. Now solve this for S.

You should get S = 98 small cups. So, from the equation S + L = 155, solve for L which gives

L = 57 large cups. You can prove this by substituting these numbers in the second equation.

The same principles apply to other problems of this type.

Answer: I think the red moon is equal to 64 because 64 is half of 128, and I think the purple square is equal to 12 because if you add all of the other shapes, they equal 52 and 64 - 52 is 12.

Answer:

1/2

Step-by-step explanation:

Pick to easy to read points on the line: (-4, 0) and (0, 2)

Start at (-4, 0). To go to (0, 2), you go 2 units up. That is a rise of 2.

Then you go 4 units right. that is a run of 4.

slope = rise/run = 2/4 = 1/2

Answer: 1/2

Answer:

length = 5.38 feet

Step-by-step explanation:

All the eq. can be solved by Phythagoras's theorem

1) Diagonal is 70 inches, height is 42 inches so

70^2 = 42^2 + width^2

width ^2 = 3136, width = 56 inches

2) Base is 2 ft, length of ladder = hypotenuse = 10 ft

Height^2 = 10^2 -2^2 = 96

Height = 9.8 ft

3) Equilateral triangle has a side of 6

If you drop a vertical line from one corner of triangle to opposite side it bisects the side into equal parts. So the length of base is 3

The hypotenuse is 6

So height is sqrt (6*6 -3*3) = sqrt (27) = 3sqrt(3) = 5.2

4) Height = 12, width = 5

Diagonal^2 = 12*12 + 5*5 = 169

Diagonal = 13

5) Plant is 5 ft tall, distance from the ground is 2 ft

length ^2 = 5*5 + 2*2 = 29

length = 5.38 feet