Fill in the blanks to complete the proof.

Answer:

A) Leo comió más, ya que comió 1/2 de la pizza.

B) Joel y Evelio comieron menos, ya que comieron 1/8 de la pizza.

C) Asimismo, Joel y Evelio comieron igual, ya que cada uno comió 1/8 de la pizza.

D) En total, entre todos comieron una pizza.

Step-by-step explanation:

Dado que cuatro amigos compraron una pizza, de la cual Leo se comió 1/2, Adán 1/4, Joel 1/8 y Evelio se comió lo que sobró, para determinar quién comió más, quién comió menos, quiénes comieron igual y cuántas pizzas se comieron en total se deben realizar los siguientes cálculos:

1/2 + 1/4 + 1/8 + X = 1

4/8 + 2/8 + 1/8 + X = 1

7/8 + X = 1

X = 1 - 7/8

X = 1/8

The standard score of the given x value, x=77.4, with a mean of μ=79.2 and a standard deviation of σ=74.4 is -0.24.

To calculate the standard score, also known as the z-score, we use the formula z = (x - μ) / σ. Plugging in the given values, we get z = (77.4 - 79.2) / 74.4 = -0.024. Therefore, the standard score of x=77.4 is -0.24, rounded to two decimal places. A standard score indicates the number of standard deviations an observation or data point is from the mean of the distribution. In this case, since the calculated z-score is negative, the x value of 77.4 is slightly below the mean, but still within one standard deviation of the mean.

Therefore, The standard score of the given x value, x=77.4, with a mean of μ=79.2 and a standard deviation of σ=74.4 is -0.24.

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the Domain of sine will be R and Range is -1 to1.

What is the domain and range of the function?

The components of a function are its domain and range. The collection of all conceivable input values is the domain of a function, whereas its range is its potential output. Range, Function, and Domain. A and B are the domain and co-domain, respectively, if a function f: A B exists that maps each element in A to an element in B. The image of an element "a" under a relation "R" is given by "b," where (a,b) R. The range of the function is defined by the collection of images.

In order to find the domain of the sine and cosine functions we need to find the value for which the function will be given a well-defined value.

So for sine, the Domain will all be real numbers i.e R.

And when we put any real number in the domain we will get the function of the sine and will be lying between -1 to 1.

Hence the Domain of sine is R and the Range is -1 to1.

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Answer:

The numbers will be "11 and 12".

i believe

Step-by-step explanation:

x(x + 1) > x + x + 1 + 109     where x and x+1 are the 2 numbers.

x^2 + x > 2x + 110

x^2  - x - 110 > 0

(x - 11)(x + 10) > 0    The critical values are 11 and -10 but number must be natural

So the value of x is 11

The numbers are 11 and 12

The derivative of negative sin(x) is -cos(x). The derivative of sin(x) is cos(x) , multiplied by minus we get -cos(x).

The derivative of negative sin(x) is an important concept in calculus, as it describes the rate of change of the negative sine function at a particular point.

The derivative of negative sin(x) can be calculated using basic differentiation rules and its value gives insight into the slope and curvature of the negative sine function at that point.

The derivative of negative sin(x) can be found using the power rule of differentiation, which states that the derivative of x^n (where n is a constant) is nx^(n-1). In the case of negative sin(x), we can use the fact that the derivative of sin(x) is cos(x). Thus, the derivative of negative sin(x) can be written as:

d/dx [-sin(x)] = -cos(x)

This expression gives us the rate of change of the negative sine function at any point x, which can be used to understand the behavior of the negative sine function and to calculate the slope and curvature at that point.

Note that the derivative of negative sin(x) is negative cos(x), which is the opposite of the derivative of sin(x). This reflects the fact that the negative sine function has a negative slope at all points, which is opposite to the positive slope of the sine function.

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Answer:

221 1/6

Step-by-step explanation:

calculators never lie

Answer:

he rented the boat for 3 hours

Step-by-step explanation:

\(24 + 6x = 42\)

Answer:

$16.47

Step-by-step explanation:

125×18=2250

these are the pages printed

2250÷500=4.5

these are the reams of paper needed

$3.66 ×4.5=$16.47

this is the money needed

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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Step-by-step explanation:

you're multiple times a day po

Answer:

1. h = 3 inches

2. a) 27 cubes   b) 1/27 cubic inches

Step-by-step explanation:

1:

Area of a triangle is A = (1/2)bh  (base x height)

5  1/10 = (1/2)(3  2/5)h

Now just solve for h.

Divide both sides by 1/2 to get rid of the 1/2

10  1/5 = (3  2/5)h

Divide both sides by 3  2/5

h = 3

2:

a) 3  cubes are needed to get one edge length of 1 inch.

3 x 3 x 3 = 27 cubes

b) Volume of a cube is just V = s^3

V = (1/3)^3 = 1/27 cubic inches

Answer:

Step-by-step explanation:

A=6V⅔

A = 6(8)^2/3

= 24

Option B is the correct answer

Answer:

Step-by-step explanation:

An angle is formed by joining two rays or two lines meeting at a point.

Common endpoint is called the vertex of the angle.

From the picture attached,

Three rays VJ, VI and VH are meeting at a common point V.

Therefore, angles formed at the common vertex V are,

Angle between ray VJ and VI,

(∠5 or ∠JVI)

Angle between ray VH and VI

(∠6 or ∠HVI)

Angle between ray VJ and VH

∠JVH.

Answer:

\(y=2x-1\\\)

Step-by-step explanation:

\(m=\frac{y_{2}-y_{1}}{x_1-x_2} \\m=\frac{9-5}{5-3}\\m=\frac{4}{2}\\m=2\\y-y_{1}=m(x-x_{1})\\y-9=2(x-5)\\y-9=2x-10\\y=2x-1\)

Therefore, the data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of department of Juvenile Services individuals as 0.9406 < 1.645 implies acceptance of null hypothesis.

As given in the question,

For the given data :

First sample size  'n₁' = 55

Number of trials 'x₁' = 18

Its given : Of the 55Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period

First sample proportion p₁ = x₁ / n₁

                                           = 18/ 55

                                           = 0.3273

13 of the 53 department of juvenile services individuals

Second sample size 'n₂' = 53

Number of trials 'x₂' = 13

Second sample proportion p₂ = x₂ / n₂

                                           = 13/ 53

                                           = 0.2453

Alternative Hypothesis :  p₁ ≠ p₂

Test statistic :

Z = ( p₁ - p₂ )/√ [ p( 1 -p){(1/n₁) + ( 1/ n₂)} ]

where p = (x₁ + x₂)/(n₁ + n₂)

p = ( 18 + 13 )/ ( 55 + 53)

  = 0.2870

1 - p = 1 - 0.2870

      =0.713

Z = ( 0.3273 - 0.2453 ) /√( 0.2870)(0.713)(0.03705)

  = ( 0.082 ) / √0.0076

  =  ( 0.082 ) / 0.08718

  = 0.9406

Level of significance ∝ =0.10

Z₀.₁₀ = 1.645 (from table )

0.9406 < 1.645

Acceptance of null hypothesis.

Therefore, the data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of department of Juvenile Services individuals as 0.9406 < 1.645 implies acceptance of null hypothesis.

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Answer: the answer is: 54857510

Step-by-step explanation:

What i had just did was i just broke the equation into 2 parts: so i did first (4 + 78908 + 54732927 - 7) which gave me 54811832. Then i did the next part which was adding 45678 in the mix ( 54811832 + 45678 = 54857510) So, the number from which you are left with is 54857510.

((TIP: Next time when you see problems like this, break them down into smaller equations so it will be much easier for you to solve, and its much more quicker and less harsh on your brain  rather then just trying to do in all in one shot))

~i hope this has helped you out, have a gr8 day/ night my friend!~  :-)

Answer: D

Step-by-step explanation:

\(f(3)=5(-3)-1=-16\\\\\\g(3)=2(-3)^{2}+1=19\\\\(f\times g)(3)=-16 \times 19=\boxed{-304}\)

Answer:

50 miles per hour

Step-by-step explanation:

Step 1: We subtract 600 from 1000. That gives us 400 miles for the second day.

Step 2: Now we divide that by 8, giving us 50 miles per hour. We have our answer!

Answer:

18

Step-by-step explanation:

The median of a set of data is the value that separates the lower and upper halves of the data. To find the median, the data must be arranged in numerical order.

The data, arranged in numerical order, is:

5, 5, 6, 7, 8, 9, 10, 10, 12, 14, 15, 17, 18, 18, 18, 20

Since the number of data points is an odd number (17), the median is simply the middle value, which is:

18

So the correct answer is A) 18.

Answer: C

Step-by-step explanation:

To find the median, arrange the numbers in sequential order.

5, 5, 6, 7, 8, 9, 10, 10, 12, 14, 15, 17, 18, 18, 18, 20

When there are an odd number of data in the set, choose the middle number in the set. For example, see the following data set.

2, 4, 6, 8, 9

The middle number in the data set is 6, so it is the median.

When there is an even number of data in the set, choose the middle two numbers, add them together, and then divide them by 2.

There are 16 numbers in this data set. We need to find the two middle numbers in the set.

5, 5, 6, 7, 8, 9, 10, 10, 12, 14, 15, 17, 18, 18, 18, 20

10 and 12 are the two middle numbers in the set.

10 + 12 = 22

22/2 = 11

Median = 11

Answer:

price of bike is $ 240at 15%off

Step-by-step explanation:

=1600×15/100

=240

When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.

A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.

As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.

The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.

So, the correct answer is B

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Answer:

ead the excerpt from "The Most Dangerous Game,” by Richard Connell.

His foot touched the protruding bough that was the trigger. Even as he touched it, the general sensed his danger and leaped back with the agility of an ape. But he was not quite quick enough; the dead tree, delicately adjusted to rest on the cut living one, crashed down and struck the general a glancing blow on the shoulder as it fell; but for his alertness, he must have been smashed beneath it. He staggered, but he did not fall; nor did he drop his revolver. He stood there, rubbing his injured shoulder, and Rainsford, with fear again gripping his heart, heard the general's mocking laugh ring through the jungle.

Which analysis best explains the effect of adding the female character

Step-by-step explanation:

Answer:

s/5

Step-by-step explanation:

its s/5 because the letter is always on top and yea..

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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Answer:

False.

6 miles is farther than 6 kilometers. One mile is equal to 1.60934 kilometers, so 6 miles is equal to 6 x 1.60934 = 9.65604 kilometers. Therefore, 6 miles is farther than 6 kilometers.

Step-by-step explanation:

The answer is:

Work/explanation:

We can't really compare two things if they have different units.

So we need to convert kilometers to miles first.

1 km is approximately equal to 0.621 miles.

So 6 km would be approximately 3.728 miles.

6 miles is further away than 3.728 miles.

6 km is not as far as 6 miles. And now we know why.

Answer:

D. y-4=-1(x-1)

Step-by-step explanation: