Which statement about fractions equivalent to One-half is always true?

The numerator is twice the denominator.
The denominator is twice the numerator.
The denominator is equal to the numerator.
The numerator is equal to one less than the denominator.

Answer:

30.583

Step-by-step explanation:

Answer:

30.58317511 to 3 significant figures:

30.583

Answer:

3

Step-by-step explanation:

Answer:

2-4.5×3+8=-3.8

-3.8÷7=-0.5

Step-by-step explanation:

The probability that the mean score of the 49 seniors is greater than 20 is 0.0516. To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means from a population with any distribution will approach a normal distribution as the sample size increases.

First, we need to find the standard error of the mean (SEM), which is the standard deviation of the sampling distribution of the mean. We can use the formula SEM = σ / √n, where σ is the population standard deviation, and n is the sample size.

In this case, σ = 6.0 and n = 49, so SEM = 6.0 / √49 = 0.857.

Next, we need to standardize the sample mean using the z-score formula: z = (x - μ) / SEM, where x is the sample mean, μ is the population mean, and SEM is the standard error of the mean.

In this case, x = 20, μ = 18.6, and SEM = 0.857, so z = (20 - 18.6) / 0.857 = 1.63.

Finally, we need to find the probability that a standard normal distribution is greater than 1.63, which is 0.0516 when rounded to 4 decimal places.

Therefore, the probability that the mean score of the 49 seniors is greater than 20 is 0.0516.

Learn more about probability here:

brainly.com/question/27342429

#SPJ11

Answer: Yes

Step-by-step explanation:

15/60 divided both by 15:

15/15=1 and 60/15=4

Answer:

yes

Step-by-step explanation:

15/60 divided by 15/15 = 1/4, or you could day that 15/60 simplified = 1/4, making the answer yes

Answer:

Step-by-step explanation:

he concept of direct variation is summarized by the equation below.

We say that yy varies directly with xx if yy is expressed as the product of some constant number kk and xx.

Cases of Direct Variation

However, the value of kk can’t equal zero, i.e. k \ne 0k  



​  

=0.

Case 1: k > 0k>0 (kk is positive)

If xx increases then the value of yy also increases, or if xx decreases then the value of yy also decreases.

ADVERTISING

Case 2: k < 0k<0 (kk is negative)

If xx increases then the value of yy decreases, or if xx decreases then the value of yy increases.

LATEST VIDEOS

Arithmetic Sequence Formula Problem #1 Video

If we isolate kk on one side, it reveals that kk is the constant ratio between yy and xx. In other words, dividing yy by xx always yields a constant output.

k=y/x

kk is also known as the constant of variation, or constant of proportionality.

Examples of Direct Variation

Example 1: Tell whether yy varies directly with xx in the table below. If yes, write an equation to represent the direct variation.

Solution:

To show that yy varies directly with xx, we need to verify if dividing yy by xx always gives us the same value.

Since we always arrived at the same value of 22 when dividing yy by xx, we can claim that yy varies directly with xx. This constant number is, in fact, our k = 2k=2.

To write the equation of direct variation, we replace the letter kk by the number 22 in the equation y = kxy=kx.

When an equation that represents direct variation is graphed in the Cartesian Plane, it is always a straight line passing through the origin.

Think of it as the Slope-Intercept Form of a line written as

y = mx + by=mx+b where b = 0b=0

Here is the graph of the equation we found above.

Example 2: Tell whether yy varies directly with xx in the table below. If yes, write an equation to represent direct variation.

Solution:

Divide each value of yy by the corresponding value of xx.

The quotient of yy and xx is always k = - \,0.25k=−0.25. That means yy varies directly with xx. Here is the equation that represents its direct variation.

Here is the graph. By having a negative value of kk implies that the line has a negative slope. As you can see, the line is decreasing from left to right.

In addition, since kk is negative we see that when xx increases the value of yy decreases.

Example 3: Tell whether if yy directly varies with xx in the table. If yes, write the equation that shows direct variation.

Solution:

Find the ratio of yy and xx, and see if we can get a common answer which we will call constant kk.

It looks like the kk-value on the third row is different from the rest. In order for it to be a direct variation, they should all have the same kk-value.

The table does not represent direct variation, therefore, we can’t write the equation for direct variation.

Example 4:  Given that yy varies directly with xx. If x = 12x=12 then y = 8y=8.

Write the equation of direct variation that relates xx and yy.

What is the value of yy when x = - \,9x=−9?

a) Write the equation of direct variation that relates xx and yy.

Since yy directly varies with xx, I would immediately write down the formula so I can see what’s going on.

We are given the information that when x = 12x=12 then y = 8y=8. Substitute the values of xx and yy in the formula and solve kk.

We will use the first point to find the constant of proportionality kk and to set up the equation y = kxy=kx.

Substitute the values of xx and yy  to solve for kk.

The equation of direct proportionality that relates xx and yy is…

We can now solve for xx in (xx, - \,18−18) by plugging in y = - \,18y=−18.

Example 6: The circumference of a circle (CC) varies directly with its diameter. If a circle with the diameter of 31.431.4 inches has a radius of 55 inches,

Write the equation of direct variation that relates the circumference and diameter of a circle.

What is the diameter of the circle with a radius of 77 inches?

a) Write the equation of direct variation that relates the circumference and diameter of a circle.

We don’t have to use the formula y = k\,xy=kx all the time.  But we can use it to come up with a similar set-up depending on what the problem is asking.

The problem tells us that the circumference of a circle varies directly with its diameter, we can write the following equation of direct proportionality instead.

The diameter is not provided but the radius is. Since the radius is given as 55 inches, that means, we can find the diameter because it is equal to twice the length of the radius. This gives us 1010 inches for the diameter.

The equation of direct proportionality that relates circumference and diameter is shown below. Notice, kk is replaced by the numerical value 3.143.14.

Using translation concepts, it is found that function g(x) is defined by:

\(g(x) = \left|\frac{x}{5}\right|\)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The absolute value parent function is defined by:

f(x) = |x|

When it is strecthed horizontally by a factor of 5, it means that the domain is divided by 5, hence the function is given by:

\(g(x) = \left|\frac{x}{5}\right|\)

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ5

Answer:

\( Mean = 10.5\)

Step-by-step explanation:

Mean of a data is defined as the sum of all observations divided by the sum of observations . So add all of the data and divide it by Total number of terms.

\(\implies Mean = \dfrac{\sum x_i}{n}\\\\\implies Mean = \dfrac{ 8 + 10 + 8 + 14 + 8 + 15 }{6} \\\\\implies Mean =\dfrac{63}{6} \\\\\implies \boxed{\boxed{ Mean = 10.5}}\)

\(\overrightarrow{V}= < -7,2,3 > \hspace{5em}\overrightarrow{W}= < 4,-3,5 > \\\\[-0.35em] ~\dotfill\\\\ 4\overrightarrow{W}\implies 4 < 4,-3,5 > \implies < 16,-12,20 > \\\\\\ \overrightarrow{V}+4\overrightarrow{W}\implies \begin{array}{ccccllll} &-7&2&3\\ +&16&-12&20\\\cline{1-4} &9&-10&23 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \frac{1}{2}\left( \overrightarrow{V}+4\overrightarrow{W} \right)\implies \frac{1}{2} < 9,-10,23 > \implies {\Large \begin{array}{llll} < 4.5~~,~~-5~~,~~11.5 > \end{array}}\)

Based on the information given, it can be seen that the length or the book will be 20cm.

From the information given, Leena read a book that had a perimeter of 72 cm and one side of the book is 16 cm. Therefore, the length will be calculated thus:

Perimeter = 2(Length + Width)

72 = 2(Length + 16)

72 = 2L + 32

2L = 72 - 32

2L = 40

L = 40/2

L = 20

Therefore, the length is 20cm.

Learn more about perimeter on:

https://brainly.com/question/16596982

Answer:

d

Step-by-step explanation:

that's the amount is t coe

The 80% confidence interval will be narrower than the 90% confidence interval when constructed from the same sample data.

If an 80% confidence interval and a 90% confidence interval are constructed from the same sample data, the 80% confidence interval will be narrower than the 90% confidence interval.

To understand why this is the case, we need to know that a confidence interval is a range of values within which we estimate the true population parameter lies. The level of confidence associated with the interval represents the probability that the true parameter falls within that range.

In this scenario, an 80% confidence interval means that there is an 80% probability that the true parameter lies within the interval. On the other hand, a 90% confidence interval means that there is a 90% probability that the true parameter falls within the interval.

To construct a narrower interval, we need to have a higher level of confidence. As the confidence level increases, the range of possible values also widens to accommodate the higher probability. Therefore, the 80% confidence interval will be narrower than the 90% confidence interval.

In conclusion, the 80% confidence interval will be narrower than the 90% confidence interval when constructed from the same sample data.

To know more about confidence interval visit:

brainly.com/question/32546207

#SPJ11

Answer:

b = 43

Step-by-step explanation:

So let's plug things in first:

y= 2x - 20 and y= -5x +b which can become →

2x - 20 = -5x + b (now you said that x=9 so let's plug that in)

2(9) -20 = -5(9) + b (now try solving that)

18 -20 = -45 + b → -2 = -45 + b ( so then add 45 to both sides)

43 = b ( and there's your answer )

The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).

1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.

The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.

The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.

In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.

Therefore, the correct answer is C: 101.

1b. A:

mul.d $v1, $v0, $f1

add.d $v3, $v1, $v2

The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.

1c. C: In fine-grained multithreading, switching between threads happens after every instruction.

In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.

1d. B: Peak Floating-Point Performance

In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.

Learn more about distribution here:

https://brainly.com/question/29664127

#SPJ11

Answer:

Yu ran farther by the end of the week.

Step-by-step explanation:

Fraction addition

\(\sf \text{Total distance ran by Holy= $1\dfrac{1}{2}+\dfrac{1}{2}+2\dfrac{1}{4}+\dfrac{3}{4}+1\dfrac{1}{2}$}\)

                   Convert mixed fractions to improper fractions

                                        \(\sf =\dfrac{3}{2}+\dfrac{1}{2}+\dfrac{9}{4}+\dfrac{3}{4}+\dfrac{3}{2}\\\\ = \dfrac{3}{2}+\dfrac{1}{2}+\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\=\dfrac{7}{2}+\dfrac{12}{4}\\\\=\dfrac{7*2}{2*2}+\dfrac{12}{4}\\\\=\dfrac{14}{4}+\dfrac{12}{4}\\\\=\dfrac{14+12}{4}\\\\=\dfrac{26}{4}\\\\=\dfrac{13}{2}\\\\=6\dfrac{1}{2} \ miles\)

\(\sf \text{Distance travelled by Yu=1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}}\)\(\sf \text{Distance traveled by Yu= $1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}$}\)

                                      \(\sf = \dfrac{7}{4}+\dfrac{3}{2}+\dfrac{11}{4}+\dfrac{5}{4}+\dfrac{1}{2}\\\\ =\dfrac{(7+11+5)}{4}+\dfrac{3+1}{2}\\\\= \dfrac{23}{4}+\dfrac{4}{2}\\\\=\dfrac{23}{4}+\dfrac{4*2}{2*2}\\\\=\dfrac{23}{4}+\dfrac{8}{4}\\\\=\dfrac{31}{4}\\\\=7\dfrac{3}{4} \ miles\)

Yu ran farther by the end of the week.

Answer:

product would be 6x^2-3x

Step-by-step explanation:

don't know the rest

Observed frequencies are essential in hypothesis testing for comparing population proportions, as they represent the sample data collected from the populations of interest and serve as the basis for calculating test statistics and drawing conclusions about the hypothesis.

In a hypothesis test comparing two or more population proportions, observed frequencies refer to the sample data collected from a population of interest.

Know more about the Observed frequencies

https://brainly.com/question/23866673

#SPJ11

Cases (iii) and (iv) are left as exercises, meaning the proof for those cases is not provided in the given information. To fully establish the Characterization Theorem, the proof for these remaining cases needs to be completed.

Theorem 2.5.1 (Characterization Theorem):

If S is a subset of R that contains at least two points and has the property that if x, y ES and x < y, then (x, y)C S, then S is an interval.Proof.

There are four cases to consider:

(i) S is bounded,

(ii) S is bounded above but not below,

(iii) S is bounded below but not above, and

(iv) S is neither bounded above nor below.

Case (i): Let a = inf S and b = sup S.

Then SC[a, b] and we will show that (a, b)C S. If a < z < b, then there exist x, y

ES such that x < z < y. Since x < y and S has property (1), we have (x, y)C S.

Since zEP(x, y), it follows that zES.

Thus (a, b)C S.

Now if a S and b S, then S =[a, b].

If a S and b S, then S=(a, b).

The other possibilities lead to either S = (a, b) or S = [a, b].

Case (ii): Let b = sup S.

Then SC (-[infinity]o, b] and we will show that (-oo, b)C S. For, if z < b, then there exists y

ES such that z < y < b.

Since b is the least upper bound of S and yES, it follows that y 6S. But then (z, y)C (-oo, b) and (z, y)C S.

Thus (-oo, b)C S. Now if S contains its smallest element a, then S = [a, b]. Otherwise, S=(a, b).

Cases (iii) and (iv) are left as exercises.

For more questions on Characterization Theorem:

https://brainly.com/question/32506550

#SPJ8

Solution

- The function given is:

- Rolle's theorem states that:

"if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b."

- The Rolle's theorem formula is:

- The interval given to us is [0, 1], this implies that:

- We can confirm that:

- Thus, since the values of f(a) and f(b) are not equal, no value of c would satisfy the Rolle's theorem

Answer:

i am sorry i don't know the answer

i love you

Step-by-step explanation:

The probability that at least two of them would end up trading at or above their initial offering price:

P(X ≥ 2) = 1 - P(X < 2)

The probability that at least two out of three Internet stocks would end up trading at or above their initial offering price, we need to calculate the complement of the probability that fewer than two stocks meet this condition.

Let's calculate the probability that fewer than two stocks would end up trading at or above their initial offering price.

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

The probability that a stock ends up trading below its initial offering price is 21.5%, which means the probability that it trades at or above the initial offering price is 1 - 0.215 = 0.785.

Using the binomial probability formula, where n is the number of trials (3 stocks) and p is the probability of success (0.785):

P(X = 0) = (3 C 0) * (0.215)^0 * (0.785)^3 ≈ 0.1851

P(X = 1) = (3 C 1) * (0.215)^1 * (0.785)^2 ≈ 0.4659

Therefore,

P(X < 2) = 0.1851 + 0.4659 ≈ 0.6510

Finally, we can calculate the probability as:

P(X ≥ 2) = 1 - P(X < 2) = 1 - 0.6510 ≈ 0.3490 (rounded to four decimal places)

To know more about probability refer here:

https://brainly.com/question/31828911

#SPJ11

Answer:

The card is 6 centimeters long.

Step-by-step explanation:

This is relatively easy. Just divide Area / Width since A = L x W

48 / 8 = 6

Answer:

f(X)= 3x^2- 30x+5

Step-by-step explanation:

f(X)= 3(x-5)^2-70

= 3(x^2-2.x.5+ 5^2) -70

= 3(x^2-10x+25)-70

= 3x^2-30x+75-70

= 3x^2-30x+5

Answer:

20

Step-by-step explanation:

Total no = 75

N (P) = 48 , N (H) = 45 , N (T) = 58

N (P∩H) = 28 , N (H∩T) = 37 , N (P∩T) = 40

N (P∩H∩T) = 25

Total no = N (P) + N (H) + N (T) - N (P∩H)  -  N (H∩T) - N (P∩T) + N (P∩H∩T) + neither

75 = 48 + 45 + 58 - 28 - 37 - 40 + 25 + neither

75 = 71 + neither → neither = 4

N (only P) = N (P) - N (P∩H)  - N (P∩T)  + N (P∩H∩T) = 48 - 28 - 40 + 25 = 5

N (only H) = N (H) - N (P∩H) - N (H∩T) +  N (P∩H∩T) = 45 - 28 - 37 + 25 = 5

N (only T) = N (T) - N (H∩T) - N (P∩T) + N (P∩H∩T) = 58 - 37 - 40 + 25 = 6

So, total liking either one or neither = 4 + 5 + 5 + 6 = 20

Answer:

The correct option is;

A) Components: [0.30, 0.70], magnitude: 0.76

Step-by-step explanation:

The given parameters are;

The path of the of the airplane at 5 a.m. given by The National Weather Service = [3, 7]

The location of the hurricane at 6 a.m. = 1/10 of the total distance between the point where it was detected to the point where it is predicted to make land fall

Therefore;

The components of the vector at 6.00 a.m. = 1/10 × [3, 7] = [0.3, 0.7]

The magnitude of the vector at 6.00 a. m. = √(0.3² + 0.7²) ≈ 0.76.

Answer:

D on edge

Step-by-step explanation:

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

Know more about multiplication principle here:https://brainly.com/question/10275154

#SPJ1

Answer:

10\(\pi\)

Step-by-step explanation:

Length of arc = \(\frac{theta }{360} * 2\pi r\)

= \(\frac{150}{360} * 2 \pi * 12\\\)

= \(10\pi\)