What is the percent of change from 200 to 300

To prove part (a), we can use the Pigeonhole Principle. Suppose we have two sets of students, A and B, where each set contains 50 students. Now consider the 10 problems on the quiz. Since at least 60 students got each problem right, we can say that at most 40 students got each problem wrong.

Now, for each problem, we can divide the students into two groups: those who got it right (which we will call the "R" group) and those who got it wrong (which we will call the "W" group). Since at least 60 students got each problem right, we know that the "R" group for each problem contains at least 60 students. Therefore, the "W" group for each problem contains at most 40 students.

Now consider the number of students in the "W" group for all 10 problems combined. This number is at most 10 x 40 = 400. Since we have a total of 100 students, this means that there must be at least 50 students who are in the "R" group for all 10 problems.

Now let's consider the two sets of students, A and B, that we defined earlier. If we assume that no two students in A collectively got 9 or more problems right, then we know that for each problem, at most 8 students in A got it right. This means that there are at least 42 students in A who are in the "W" group for that problem. Since there are only 40 students in the "W" group for each problem, this means that there must be at least 2 students in A who are in the "W" group for all 10 problems.

Similarly, if we assume that no two students in B collectively got 9 or more problems right, then there must be at least 2 students in B who are in the "W" group for all 10 problems. But since there are only 100 students in total, this means that there must be at least 2 students who are in the "W" group for all 10 problems, regardless of which sets they belong to. But if two students are in the "W" group for all 10 problems, then collectively they must have gotten 9 or more problems right. Therefore, we have proven that there exist two students who collectively got nine or more problems right.

To prove part (b), we can again use the Pigeonhole Principle. This time, we will divide the students into three sets, A, B, and C, each containing 33 students. Now consider the 10 problems on the quiz. Since at least 60 students got each problem right, we can say that at most 40 students got each problem wrong.

Now, for each problem, we can again divide the students into two groups: those who got it right (the "R" group) and those who got it wrong (the "W" group). Since at least 60 students got each problem right, we know that the "R" group for each problem contains at least 60 students. Therefore, the "W" group for each problem contains at most 40 students.

Now let's consider the number of students in the "W" group for each problem. This number is at most 40, since we know that at least 60 students got each problem right. Therefore, the total number of students in the "W" group for all 10 problems combined is at most 10 x 40 = 400.

Now consider the three sets of students, A, B, and C, that we defined earlier. If we assume that no three students collectively got all 10 problems right, then we know that for each problem, there are at most 22 students in A who got it right, at most 22 students in B who got it right, and at most 22 students in C who got it right. This means that there are at least 11 students in each set who are in the "W" group for that problem. Since there are only 40 students in the "W" group for each problem, this means that there must be at least 3 students in each set who are in the "W" group for all 10 problems.

But since there are only 100 students in total, this means that there must be at least one student who is not in the "W" group for any problem. Therefore, there exist three students who collectively got all 10 problems right, since there are only two sets of students (A, B, or C) that contain the students in the "W" group for all 10 problems.
a) To show that there exist two students who collectively got nine or more problems right, consider the worst-case scenario where the 60 students who answered correctly are evenly distributed among the problems. In this case, there will be 6 students who answered correctly for each problem. Now, the 40 students who did not answer each problem correctly must have gotten at least one problem right. Otherwise, there would be a problem with fewer than 60 correct answers. Hence, there must exist at least one pair of students who, together, have answered nine or more problems correctly.

b) Similarly, to show that there exist three students who collectively got all the ten problems right, consider distributing the 60 correct answers in such a way that the problems are divided into three groups of four problems each. In each group, there are 20 students who answered all four problems correctly.

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Answer:

the answer is inspection

Step-by-step explanation:

The value today of a money machine that will pay $1,488.00 per year for 18 years, with the first payment starting in 2 years, is approximately $16,033.52.

To determine how much Derek will need in his retirement account on his 65th birthday, we can use the concept of present value. Since Derek wants to withdraw $130,476.00 per year for 20 years (from his 66th to 85th birthday) and the interest rate is 9%, we can calculate the present value of this annuity.

By using the present value of an annuity formula, the calculation yields a retirement account balance of approximately $1,187,672.66 on his 65th birthday.

For the second scenario, to find the value today of a money machine that pays $1,488.00 per year for 18 years, starting 2 years from today, we can again use the concept of present value. With an interest rate of 10%, we calculate the present value of this annuity.

Using the present value of an annuity formula, the calculation shows that the value today of this money machine is approximately $16,033.52.In both cases, the present value calculations take into account the time value of money, which means that future cash flows are discounted back to their present value based on the interest rate.

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Answer:

Dubai , Istanbul , Cairo , Jerusalem

Step-by-step explanation:

The virus I suggest stay home.

The probability that a student who has an A is a male is 60%.

To find the probability that a student who has an A is a male, we need to calculate the ratio of the number of male students with an A to the total number of students with an A.

Given that there are 19 students in total, and 6 of them are female, we can determine that there are 19 - 6 = 13 male students. Out of these male students, 7 do not have an A. Therefore, the number of male students with an A is 13 - 7 = 6.

Now, we know that there are 10 students in total who have an A. Therefore, the probability that a student with an A is a male can be calculated as the ratio of the number of male students with an A to the total number of students with an A:

Probability = Number of male students with an A / Total number of students with an A

Probability = 6 / 10

Probability = 0.6 or 60%

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Answer:

What the anyways uhhh

Step-by-step explanation:

49.76

Answer:

49.76

Step-by-step explanation:

You just add lol.

Look at screenshot below:  

Answer:

r = 23

Step-by-step explanation:

Using the formula

Solving for r

Answer:

Step-by-step explanation:

Answer: CLICK TO VIEW

16x^3+5x?

Answer:

26

Step-by-step explanation:

Cellphone: 32 - 19 (students without tablet)

Tablet: 70 -57 (students without cellphone)

Both equations remain with only 13 students with both a cellphone and a tablet.

Then 13 + 13 = 26

Answer:

  3800

Step-by-step explanation:

You want the number that has 418 as 11% of its value.

You can use the relation ...

  part = percent × whole

Solving for the whole gives ...

  whole = part/percent

  whole = 418/0.11 = 3800

The number 3800 has 418 as 11% of its value.

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The graph must pass through the y-axis at y = -4 with a positive slope of 3

Given the expression

Write the given equation in standard form to have:

7x+y=10x-4.

y = 10x - 7x - 4

y = 3x - 4

From the equation, the slope is 3 and the y-intercept is -4

The graph must pass through the y-axis at y = -4 with a positive slope of 3.

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Answer:

(0, ∞ )

Step-by-step explanation:

Basic exponential functions always take on values ranging from (but not touching) 0 upward.

Thus, the range of this particular exponential function is (0, ∞ )

Answer:

38 square feet

Step-by-step explanation:

How do we find the area of a circle?

  ❖ The area of a circle is πr², where r = radius. For this case, we're going

       to approximate pi as 3.14.

How do we find the radius given diameter?

  ❖ We are given the diameter of Claire's hot tub as 7 feet. The diameter

       is 2x the radius, so we divide 7 by 2 to get the radius, which is 3.5

       feet.

Solving

Therefore, the answer is 38 square feet. Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

Step-by-step explanation:

You may invent a value for x, substitute that value into the given equation and thereby calculate y:

If 7x - 4y = -5 and x = 0, then -4y = -5 and y = 5/4.  The corresponding ordered pair is (0, 5/4).  Other x values may be chosen at random and the same operations performed so as to find other possible ordered pairs corresponding to 7x -4y = 5.

Answer:

x = Log(16)

Simplify both sides of the expression by isolating the variable.

Using the normal distribution, it is found that:

a) The pilot is at the 72th percentile.

b) 19.13% of pilots are unable to fly.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 72.6, \sigma = 2.7\).

Item a:

The percentile is the p-value of Z when X = 74.2, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{74.2 - 72.6}{2.7}\)

Z = 0.59

Z = 0.59 has a p-value of 0.7224.

72th percentile.

Item b:

The proportion that is able to fly is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 70, hence:

X = 78:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{78 - 72.6}{2.7}\)

Z = 2

Z = 2 has a p-value of 0.9772.

X = 70:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{70 - 72.6}{2.7}\)

Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.9772 - 0.1685 = 0.8087 = 80.87%.

Hence the percentage that is unable to fly is:

100 - 80.87 = 19.13%.

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Answer:

2:1

Step-by-step explanation:

2:3=1:3

as product of extremes = product of means

(2)(3):(1)(3)

6:3

2:1

Answer:

40,960

Step-by-step explanation:

To find the multiplier, set up an equation like this:

\(5x=-10\)

The above equation will allow us to find what number, when multiplied with 5 will result in -10. If we divide both sides of the equation by 5, we'll find that the number, x, is -2:

\(x=-2\)

We need to find the 14th term. To do this, simply multiply the lattermost number in the sequence by our multiplier, -2.

\(20*(-2)=40\)

Since 5 is the first term in the sequence, -10 is the second term in the sequence, and 20 is the third term in the sequence, 40 is the fourth term. Now we just need to find the next ten so that we can find the 14th term. To do that, repeat the process of multiplying the lattermost number by -2 ten more times:

\(40*-2=-80\\-80*-2=160\\160*-2=-320\\-320*-2=640\\640*-2=-1280\\-1280*-2=2560\\2560*-2=-5120\\-5120*-2=10240\\10240*-2=-20480\\-20480*-2=40960\)

Therefore, the 14th term is 40,960.

Answer:

-40,960

Step-by-step explanation:

you have to add the negative because there partners in crime

Answer:

45/9=__

Step-by-step explanation:

Please mark me brainliest

The probability that the mean number of daily emergency admissions is between 75 and 95 is approximately 0.8990.

To find the probability that the mean number of daily emergency admissions is between 75 and 95, we can use the Z-score formula for sample means: Z = (X - μ) / (σ / √n), where X is the sample mean, μ is the population mean, σ is the standard deviation, and n is the sample size.

First, calculate the Z-scores for both 75 and 95:
Z_75 = (75 - 85) / (37 / √30) ≈ -1.62
Z_95 = (95 - 85) / (37 / √30) ≈ 1.62

Now, use a Z-table to find the probabilities corresponding to these Z-scores. P(Z ≤ 1.62) ≈ 0.9474 and P(Z ≤ -1.62) ≈ 0.0526.

Finally, subtract the probabilities to find the probability between the two Z-scores:
P(-1.62 ≤ Z ≤ 1.62) = P(Z ≤ 1.62) - P(Z ≤ -1.62) ≈ 0.9474 - 0.0526 ≈ 0.8948

Among the given answer choices, the closest value is 0.8990.

Therefore, the probability that the mean number of daily emergency admissions is between 75 and 95 is approximately 0.8990.

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Answer: 10.13

Step-by-step explanation:

Assuming this in deg,
cos(x)=sin(90-x) so,
sin(90-x)=sin(7x+9)
90-x=7x+9
8x=81
x=81/8
x=10.125 rounded to the nearest hundredth is
10.13

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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So, based on the theoretical likelihood, we anticipate that 35 times out of 140 repeats, both spins will be odd numbers.

Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. Probability is expressed as a number between 0 and 1, with 0 indicating that an event is impossible to occur and 1 indicating that an event is certain to occur. The probability of an event A, denoted by P(A), is calculated as the number of favorable outcomes for the event divided by the total number of possible outcomes. For example, if a fair six-sided die is rolled, the probability of rolling a 3 is 1/6 because there is only one favorable outcome (rolling a 3) out of the total 6 possible outcomes. Probabilities can be used to make predictions about the likelihood of future events and to make decisions under uncertainty. Probabilities can also be used to describe the distribution of random variables and to quantify the relationship between different events. Probability theory is widely used in many fields, such as statistics, engineering, finance, physics, and biology, among others.

Here,

The theoretical probability of both spins being odd numbers is 9 over 36, which means that for every 36 times the experiment is repeated, we expect 9 of those times to result in both spins being odd numbers.

If the experiment is repeated 140 times, we can use the theoretical probability to estimate the number of times both spins will be odd numbers as follows:

140 * (9/36) = 35

So, based on the theoretical probability, we predict that both spins will be odd numbers 35 times out of 140 repetitions.

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Answer:

C and D

Step-by-step explanation:

2x^2  + 7x + 6

(2x + 3)(x+2)

x = -3/2 = -1.5

x = -2

The total number of choices is 5000, and the total number of choices is 2520.

We have 10 digits(0 to 9)

In the first place, second place, and third place we can put 0-9 means a total of 10 numbers.

In fourth place, we can only put 1, 3, 5, 7, and 9 means a total of 5 digits.

So total number of choices = 10×10×10×5 = 5000

When repetition is not allowed

When we put 1 at last place, then a number of choices:

=9×8×7×1 = 505

Similarly for 3, 5, 7, and 9 the number of choices same as placing 1 at last place, then a number of choices:

= 505+505 +505+505+505

= 2520.

Thus, the total number of choices is 5000,.

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Answer:

I think its 0= 0

Step-by-step explanation:

Answer:

The one you picked

Step by Step explanation