write 32% as a fraction in simplest form

A well-balanced long hair design should consider the proportional relationships between size, shape, texture, and color to create a harmonious and visually pleasing hairstyle that flatters the client's features and personal style.

When planning a well-balanced long hair design, it is important to consider the proportional relationships between size, shape, texture, and color. These four elements work together to create a harmonious and visually pleasing hairstyle.

Size refers to the overall scale of the hairstyle, which can range from small and delicate to large and voluminous. It's important to consider the size of the client's head and face, as well as the desired level of impact.

Shape refers to the outline or silhouette of the hairstyle, which can be angular or rounded, symmetrical or asymmetrical. The shape should be chosen to flatter the client's face shape and features, as well as to create a balanced overall look.

Texture refers to the surface quality of the hair, which can be smooth or rough, sleek or tousled. Texture can be used to add interest and movement to the hairstyle, and should be chosen to complement the client's natural hair texture and the overall design.

Color refers to the hue, saturation, and tone of the hair, which can range from natural to bold and vibrant. Color can be used to enhance the shape and texture of the hairstyle, and should be chosen to flatter the client's skin tone and personal style.

In summary, a well-balanced long hair design should consider the proportional relationships between size, shape, texture, and color to create a harmonious and visually pleasing hairstyle that flatters the client's features and personal style.

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Null hypothesis (H0): There’s no effect in the population. Alternative hypothesis (Ha or H1): There’s an effect in the population.

The null and alternative hypotheses are two opposing ideas that researchers use a statistical test to analyze evidence for and against: The null hypothesis (H0) states that there is no influence in the population. Alternative hypothesis (Ha or H1): There is a population effect.

Identify the null and alternative hypotheses.

As well as the sample size, specify.

Choose a suitable statistical test.

Gather information (note that the previous steps should be done prior to collecting data)

Based on the sample data, compute the test statistic.

Examine the null hypothesis, usually indicated by H0.

Always write the alternative hypothesis, which is usually marked by Ha or H1, with less than, greater than, or not equals symbols, i.e., (,>,or).

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To find the time it took Clare to ride 10 miles, we can use the concept of speed, which is defined as distance divided by time. In this case, Clare's constant speed was 15 miles in 72 minutes, so her speed is 15/72 miles per minute.

Using this speed, we can calculate the time it took her to ride 10 miles by dividing the distance by the speed:

Time = Distance / Speed

Time = 10 miles / (15/72 miles per minute)

Time = 10 * 72 / 15 minutes

Time = 43.2 minutes

So, it took Clare approximately 43.2 minutes to ride 10 miles at her constant speed of 15 miles in 72 minutes.

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Answer: False

Step-by-step explanation: 75 min does not = 1 hour or 60 min you would need 1 hour and 15 min

(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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Answer:

The total number of nails in Susan's box is 660 nails

Step-by-step explanation:

The given parameters are;

The number of small nails in John's box = 65

The number of medium nails in John's box = 40

The number of large nails in John's box = 45

The number of medium nails in Susan's box = 176

The ratio of the nails in John's box  is given as follows;

The ratio of small nails in John's box = 65/(65 + 40 + 45) = 13/30

The ratio of medium nails in John's box = 40/(65 + 40 + 45) = 4/15 = 8/30

The ratio of large nails  in John's box = 45/(65 + 40 + 45) = 3/10 = 9/30

Given that the proportion of the nails in John's box and Susan's box are the same, we have;

The ratio of medium nails in Susan's box =  8/30

Therefore;

Where the total number of nails in Susan's box = X, we have;

8/30 × X = 176

X = 176 × 30/8 = 660 nails

The total number of nails in Susan's box = 660 nails.

Using proportions, it is found that the total number of nails in Susan's box was 660.

---------------

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Since the proportions are equal:

\(\frac{40}{150} = \frac{176}{x}\)

\(40x = 150\times176\)

\(x = \frac{150\times176}{40}\)

\(x = 660\)

The total number of nails in Susan's box was 660.

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Answer:

19/20

Step-by-step explanation:

1/5=0.20

hope that makes sense

When the water is 7 meters high, it is changing height at a rate of about 0.019 meters per minute.

We need to use related rates and the volume formula for a cone.

V as the conical tank's water volume

h is the measurement of the conical tank's water level

The conical tank's base has a radius of r

The volume of a cone can be calculated using the formula: V = (1/3)πr²h.

Given that the base and height of the conical tank are equal, we can write r = h.

Differentiating the volume formula with respect to time t, we get:

dV/dt = (1/3)π(2rh dh/dt + r² dh/dt).

Since r = h, we can simplify the equation to:

dV/dt = (1/3)π(2h² dh/dt + h² dh/dt)

= (2/3)πh² dh/dt (Equation 1).

Assuming that the rate of water filling is 2 m/min, dh/dt must equal 2 m/min.

Finding dh/dt at h = 7 m is necessary because we want to know how quickly the water's height is changing.

Substituting the values into Equation 1:

2 = (2/3)π(7²) dh/dt

2 = (2/3)π(49) dh/dt

2 = (98/3)π dh/dt

dh/dt = 2 * (3/(98π))

dh/dt ≈ 0.019 m/min.

Therefore, When the water is 7 meters high, it is changing height at a rate of about 0.019 meters per minute.

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By the end of the 24th day of autumn, there is exactly 1,594,323 number leaf total on the ground.

So, let uscalculate the total number of leaves as follows:

A number of leaves on day 1.

A number of leaves on day 2.

A number of leaves of day 3.

A number of leaves on day 4.

A number of leaves on day 5.

A number of leaves on day 6.

A number of leaves of day 7.

A number of leaves on day 8.

A number of leaves on day 9.

A number of leaves on day 10.

A number of leaves on day 11.

A number of leaves on day 12.

A number of leaves on day 13.

Therefore, by the end of the 24th day of autumn, there is exactly 1,594,323 number leaf total on the ground.

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There was 42 biscuits in the boxes

Answer:

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.

The answer is true

Answer: B

Step-by-step explanation:t+4+3−2.2t

Add 4 and 3 to get 7.

t+7−2.2t

Combine t and −2.2t to get −1.2t.

−1.2t+7

b. If this study were to be repeated with a sample of the same size, there is a 95% probability that the sample proportion would be between 0.20 and 0.27.

ung adults who skip breakfast is between 0.20 and 0.27.

The correct interpretation of the 95% confidence interval is c. We can be 95% confident that the proportion of young adults who skip breakfast is between 0.20 and 0.27.

This  means that if we were to repeat the study multiple times, we would expect 95% of the resulting confidence intervals to contain the true proportion of young adults who skip breakfast.

It  does not mean that there is a 95% probability that the true proportion falls between 0.20 and 0.27 (option a) since the true proportion either is within that range or it is not. Also, the confidence interval is about the population parameter (the proportion of young adults who skip breakfast), not the sample statistic (the sample proportion) as stated in option b.

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The student earned a total of 6 points by correctly using definite integrals to find f(-2) and f(2), identifying the critical values and absolute minimum value of f(x) and finding f''(-5).

The student earned a total of 6 points in the problem. They earned 3 points in for using an appropriate definite integral to find f(-2), and another point for using a definite integral to find f(2). They did not earn any points.

In next part, they earned 2 points for identifying where f'(x) = 0, and identifying the absolute minimum value of f(x) at x=2. In part (d), they earned 1 point for finding f''(-5), but did not earn the second point due to a contradiction in their reasoning about the differentiability of f(x) at x=3.

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Answer: 910 minutes

Step-by-step explanation:

Since the physical therapist has 2400 minutes available for patients next week, and the patients have already made appointments for 1490 minutes, then the time that the physical therapist has left will be:

p + 1490 = 2400

p = 2400 - 1490

p = 910

Therefore, the physical therapist will have 910 minutes left

Since W satisfies all three conditions, it is a subspace of R4. And since we have shown that W = Span{u, v}, we can choose answer (C): "Since u and v are in R4 and W = Span{u, v}, W is a subspace of R4."

What is sub space?

In mathematics, a subspace is a subset of a vector space that is itself a vector space under the same operations of vector addition and scalar multiplication as the original space.

To show that W is a subspace of R4, we need to show that it satisfies three conditions:

The zero vector is in W.

W is closed under vector addition.

W is closed under scalar multiplication.

First, let's find vectors u and v such that W = Span{u,v}. We are given that a vector B in W has the form:

B = (2s + 5s + 3t, 4s - 5t, 2t, 45-50)

We can rewrite this as:

B = (7s, 4s, 0, 45-50) + (3t, -5t, 2t, 0)

So, we can take u = (7, 4, 0, -5) and v = (3, -5, 2, 0) to span W.

Now, let's check the three conditions:

The zero vector is in W:

Setting s = t = 0 in the expression for B gives us the vector (0, 0, 0, -5). This vector is in W, so the zero vector is in W.

W is closed under vector addition:

Let B1 and B2 be two vectors in W. Then, we have:

B1 = su1 + tv1 = a1u + b1v

B2 = su2 + tv2 = a2u + b2v

where a1, b1, a2, b2 are scalars.

Then, B1 + B2 is given by:

B1 + B2 = su1 + tv1 + su2 + tv2

= (a1u + b1v) + (a2u + b2v)

= (a1 + a2)u + (b1 + b2)v

which is also in W, since it can be expressed as a linear combination of u and v.

W is closed under scalar multiplication:

Let B be a vector in W and let k be a scalar. Then, we have:

B = su + tv = au + bv

where a, b are scalars.

Then, kB is given by:

kB = k(su + tv)

= (ks)u + (kt)v

which is also in W, since it can be expressed as a linear combination of u and v.

Therefore, since W satisfies all three conditions, it is a subspace of R4. And since we have shown that W = Span{u, v}, we can choose answer (C): "Since u and v are in R4 and W = Span{u, v}, W is a subspace of R4."

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Answer:

2 inches would be left

Step-by-step explanation:

The expected value of the sum of these events will be 2 / 3.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that the expected value for getting heads, on 30 coin tosses, is 15. The expected value for rolling a 1, after 30 die rolls is 5.

The probability of the sum will be calculated as,

P = ( 15 / 30 ) + ( 5 / 30 )

P =  ( 20 / 30 )

P = 2 / 3

Therefore, the expected value of the sum of these events will be 2 / 3.

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Answer:

7 whole times, 7.2 decimal times

Step-by-step explanation:

Divide the numbers

Answer: 3

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Fist multiply 3 and .15 to get .45 for 3 pencils. Then subtract .45 from 6.45 and get 6. Then divided 6 by 5 to get 1.2 for each book

i think the answer is a: $1.20

my work:

3 x 0.15 = 0.45.

6.45 - 0.45 = 6.00

6.00 / 5 = 1.20

and i checked my work by doing 1.20 x 5 + 0.40 = $6.45.

Answer:

this question is roung

Answer:

  (d)  x = 4

Step-by-step explanation:

You want the solution to the system of equations using the given graph.

The solution to the equation f(x) = g(x) is the x-coordinate of the point(s) on their graphs where the curves intersect.

The graph shows the point of intersection of the two functions is (4, 1). This is the solution you have marked in the supplied image.

  x = 4

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Answer:

80%

Step-by-step explanation:

Total area is the area of two circles. Each circle if accepted as a unit, in total it equals to 2 units.

Shaded area:

Percentage of shaded area compared to total:

Answer: 80% of all region is shaded

The mouse traveled 4 meters while pushing the block of cheese with 4 N of force if she did 16 J of work.

An equation is a mathematical statement that shows that two expressions are equal. Equations typically consist of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

We know that work (W) is equal to force (F) times distance (d) in the direction of the force, so we can use the formula:

W = F x d

To find the distance traveled (d), we need to rearrange the formula:

d = W / F

Plugging in the values we have:

d = 16 J / 4 N

d = 4 meters

Therefore, the mouse traveled 4 meters while pushing the block of cheese with 4 N of force, if she did 16 J of work.

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Random permutations and a random variable X are defined on this probability space such as X = 1 when the product XYZ is even and X = 0 when that product is odd. \(E[X] = \[\frac{53}{63}\]\)

To determine the expected value of the random variable X given the permutation of 10 decimal digits, we will find the probability of the random variable X being odd or even. If the product XYZ is odd, then X is odd, otherwise, X is even.

Consider A be the event that x is odd, B be the event that y is odd and C be the event that z is odd. The probability of A occurring is:

\(P(A) = \[\frac{5}{9}\]\)

since there are 5 odd digits out of the 9 remaining after any digit is chosen as the first digit in x.

, \(P(B) = \[\frac{4}{7}\]\)

since there are 4 odd digits out of the 7 remaining after any digit is chosen as the first digit in y.

Also, \(P(C) = \[\frac{3}{6}\]\)

Since there are 3 odd digits out of the 6 remaining after any digit is chosen as the first digit in z.

Therefore, P(A ∩ B ∩ C) is the probability of the product being odd which is given as:

P(A ∩ B ∩ C) = P(A) × P(B) × P(C)

\(= \[\frac{5}{9}\] \times \[\frac{4}{7}\] \times \[\frac{3}{6}\]\)

= 10/63

Thus, the probability of the product being even

P(A ∩ B ∩ C)¯ = 1 − P(A ∩ B ∩ C) = 1 − 10/63= 53/63

Therefore, the expected value of X is given as:

\(E[X] = (0 \times \[\frac{10}{63}\]) + (1 \times\[\frac{53}{63}\])\)

= 53/63

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Answer:

-5

0

0.9

-1.3

Step-by-step explanation:

comment if u still need explanation :)

Answer: i think 3/3 is the answer to this