If the universal set U={0,1,2,3,4,5,6,7,9,11) has two subsets A={1,3,5, 11) and B={0,2,3,9,11). Find: A n U

Given-

Number of exhibits = 4

Total number of exhibits = 16

Solution-

% of zoos exhibits that features bears :-

\( \frac{4}{16} \times 100\)

\( => 25\)

Therefore, The percentage of zoos exhibits that features bears= 25 %

✍️ By Benjemin ☺️

Answer:

Yes. You make note that 3y+10 and 5y-24 are the same and that 5y-24, 82, and 9x+1 altogether make 180 degrees. To find out what y is equal to, you do 3y+10=5y-24 to get y=17. Next you do 5y-24 and substitute 17 in for y. To get, 61. 61+82 gets you 143. 180-143 is 37. So, you would now do 9x+1=37 to get x=4

x = 4

and

y = 17

Three lots with parallel side boundaries extend from the avenue to the boulevard.

x + y + z = 140 meters

According to the proportion theorem,

Solving for x, using cross multiplication:

Similarly,

x/40 = z/35

solving for z by cross multiplication,

z = 35x/40

z = 7x/8

Now, the third proportions,

y/30 = z/35

Solving for y,

y = 30z/35

y = 6z/7

x + y + z = 140

4y/3 + 6z/7 +  7x/8 = 140

(224y + 144z + 147x)/168 = 140

224y + 144z + 147x = 23520

Substituting z = 7x/8,

224y + (144 × 7x/8) + 147x = 23520

224y + 126x + 147x = 23520

224y + 273x = 23520

Now,

Substitute y = 3x/4

(224×3x/4) + 273x = 23520

168x + 273x = 23520

441x = 23520

x = 53.33

Now,

We know that

y = 3x/4

so,

y = 40

And,

z = 7x/8

Z = 46.66

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Answer:

x = 12 and y = 24 Can I get brainiiest

Step-by-step explanation:

We know (3x + 34) and (2x + 46) are vertical to each other so they equal the same measure. We will solve it like this.

3x + 34 = 2x + 46 (subtract 34 on each side)

3x = 2x + 12 (subtract 2x on both sides)

x = 12

Now plug in

3(12) + 34 = 2(12) + 46

36 + 34 = 24 + 46

70 = 70

Now all you have to do is do the other pair of angle

4y + 14 + 70 = 180 (we are using what we already know about 70)

(collect like terms)

4y + 84 = 180 (subtract 84 on both sides)

4y = 76 (divide by 4)

y = 24

(plug in)

4(24) + 14 = 6(24) - 34

96 + 14 = 144 - 34

110 = 110

Answer:

t = \(\sqrt{r^2 + s^2}\)

Step-by-step explanation:

Below is the following calculation:

It is given that the one side of the triangle is t. Thus, let the other sides are "r" and "s". Thus, the best way to find the side of a triangle is to use the Pythagorean theorem. Here, let t is the hypotenuse.

Below is the formula:

t = \(\sqrt{r^2 + s^2}\)

Answer:

Step-by-step explanation:

the odds of choosing a ginger ale is 1/21

Answer:

the first one

Step-by-step explanation:

The value of the line integral along the path c is 132.

To evaluate the line integral along the path c given by x = 2t, y = 4t, where 0 ≤ t ≤ 1, we first need to parameterize the integral in terms of t.

The path c can be written as r(t) = <2t, 4t>, where 0 ≤ t ≤ 1.

Then, we can rewrite the line integral as:

∫c (y − x) dx + 10x^2y^2 dy = ∫0^1 (4t − 2t)(2)dt + 10(2t)^2(4t)^2(4)dt

= ∫0^1 12t^2 + 640t^4 dt

= 4t^3 + 128t^5 | from 0 to 1

= 4 + 128

= 132

Therefore, the value of the line integral along the path c is 132.

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Answer:

Where is the table

Step-by-step explanation:

Answer:

7/8 =s

Step-by-step explanation:

1/8=s-3/4

Add 3/4

1/8 + 3/4 = s -3/4 +3/4

1/8 + 3/4 = s

Get a common denominator

1/8 + 3/4 *2/2 = s

1/8 + 6/8 =s

7/8 =s

1/8 = s - 3/4

1/8 = s -6/8 ( * 2/2)

7/8 = s

s = 7/8

Answer:

the answer is -7

Step-by-step explanation:

Answer:

45.34

Step-by-step explanation:

you have to use the pythagorean theorem

Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.

To find out how far she will have run in total after 16 days, we can use the formula for calculating compound interest:

A = P(1 + r/100)^n

Where:

A = Total distance run after n days

P = Initial distance (4.8 kilometers)

r = Rate of increase per day (6.9%)

n = Number of days (16)

Plugging in the given values, we can calculate the total distance:

A = 4.8(1 + 6.9/100)^16

Using a calculator or performing the calculations step by step, we get:

A ≈ 4.8(1.069)^16 ≈ 4.8(2.092473)^16 ≈ 4.8(2.628)

A ≈ 12.6144

Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.

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The power series approximation of f(x)g(x) up to order 3 is:

\(e^56 sin 8x - 22(5x)sin 8x - 2e^56(5x) + 22(5x)^2 sin 8x\)

To find the power series expansion of the product f(x)g(x), we need to multiply the power series expansions of f(x) and g(x) and collect like terms.

First, let's find the power series expansion of f(x):

\(f(x) = e^56 - 2(5x)^"\)

Using the formula for the power series expansion of e^x:

\(e^x = 1 + x + (x^2)/2! + (x^3)/3! + ...\)

We can write the power series expansion of f(x) as:

\(f(x) = e^56 - 2(5x)^"\)

\(= (1 + 56 + (56^2)/2! + (56^3)/3! + ...) - 2(5x)^(1)\)

= \(1 - 5x + (56 - 25x^2) +\)...

Now let's find the power series expansion of g(x):

g(x) = sin 8x

= (8x) - (8x)^3/3! + (8x)^5/5! - ...

Finally, we can multiply the power series expansions of f(x) and g(x) to get the power series expansion of f(x)g(x):

\(f(x)g(x) = (1 - 5x + (56 - 25x^2) + ...) * ((8x) - (8x)^3/3! + (8x)^5/5! - ...)\)

\(= (8x) - (40x^2) + (568x^2)/2! + ((56-8*8)/2!)x^4 + ...\)

Collecting like terms up to order 3, we get:

\(f(x)g(x) = (8x) - (40x^2) + (224x^3)/3! + ...\)

Therefore, the power series approximation of f(x)g(x) up to order 3 is:

\(e^56 sin 8x - 22(5x)sin 8x - 2e^56(5x) + 22(5x)^2 sin 8x\)

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Step-by-step explanation:

slope =3/2

that is the answer

We have shown that SET-SPLITTING is both in NP and NP-hard, which implies that it is NP-complete.

To prove that SET-SPLITTING is NP-complete, we need to show two things:

SET-SPLITTING is in the class NP (nondeterministic polynomial time).

SET-SPLITTING is NP-hard, meaning that every problem in the class NP can be reduced to SET-SPLITTING in polynomial time.

SET-SPLITTING is in the class NP:

To show that SET-SPLITTING is in NP, we need to demonstrate that given a potential solution (certificate), we can verify it in polynomial time. In the case of SET-SPLITTING, the potential solution is a partition of the set S into two sets A and B, satisfying the conditions that each subset Ci, 1 ≤ i ≤ m, has a nontrivial intersection with both A and B.

We can verify this solution by checking each subset Ci in polynomial time. For each subset Ci, we can determine if it has a nontrivial intersection with both A and B by comparing the elements of Ci with the elements of A and B. If there exists an element in Ci that belongs to both A and B, then the partition satisfies the conditions. This verification process can be done in polynomial time, making SET-SPLITTING in NP.

SET-SPLITTING is NP-hard:

To prove that SET-SPLITTING is NP-hard, we can reduce a known NP-complete problem, such as 3SAT, to SET-SPLITTING. This reduction shows that if we can solve SET-SPLITTING in polynomial time, we can also solve 3SAT in polynomial time.

The reduction works as follows:

Given an instance of 3SAT, which consists of a boolean formula in conjunctive normal form with three literals per clause, we can construct an instance of SET-SPLITTING as follows:

For each variable in 3SAT, create two sets in SET-SPLITTING, corresponding to the positive and negative occurrences of the variable. For example, if we have variable x, we create two sets: Ax and Bx.

For each clause in 3SAT, create a subset in SET-SPLITTING that contains literals corresponding to the variables in the clause. If a literal is negated in the clause, it belongs to the set with the corresponding negative occurrence, otherwise, it belongs to the set with the corresponding positive occurrence.

Now, we need to show that the reduction preserves the properties of the problems:

If the 3SAT instance is satisfiable, we can construct a valid partition in SET-SPLITTING by assigning true or false values to the variables and including the corresponding sets in the partition.

If there exists a valid partition in SET-SPLITTING, we can construct a satisfying assignment for the 3SAT instance by assigning true or false values to the variables based on the sets in the partition.

Therefore, we have shown that SET-SPLITTING is both in NP and NP-hard, which implies that it is NP-complete.

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The factors influencing sample size include the desired level of confidence, the higher desired level of confidence, the variability of the population, the size of the effect being measured, and the level of precision desired.

The desired level of confidence determines the sample size needed to achieve the desired level of confidence. The higher the desired level of confidence, the larger the sample size needs to be. The variability of the population is also a factor that influences sample size.

If the population is highly variable, a larger sample size is needed to achieve the desired level of confidence. the size of the effect being measured also affects sample size.if the effect is small, a larger sample size is needed to measure it accurately. Finally, the level of precision desired also affects the sample size.

The higher the level of precision desired, the larger the sample size needs to be. When drawing a sample to make sure the measure of interest is neither overestimated nor underestimated, all of the mentioned factors need to be taken into consideration. The sample size should be large enough to accurately measure the effect, given the desired level of confidence and the level of precision desired.

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Based on the given data and a significance level of 0.05, there is sufficient evidence to support the drug company's claim that less than 10% of users of its allergy medicine experience drowsiness.

Let's perform the hypothesis test using the provided data.

For a significance level of 0.05:

Null hypothesis (H0): p >= 0.10

Alternative hypothesis (Ha): p < 0.10

Using the given data, p = 0.04, p0 = 0.10, and n = 75, we can calculate the test statistic (Z-score):

Z = (0.04 - 0.10) / sqrt(0.10 * (1 - 0.10) / 75) ≈ -2.12

Assuming a normal distribution, the p-value is approximately 0.0174.

Since the p-value (0.0174) is less than the significance level of 0.05, we reject the null hypothesis. There is sufficient evidence to conclude that the proportion of users experiencing drowsiness is less than 10% based on the given data at a 0.05 level of significance.

Now let's consider a significance level of 0.01:

Null hypothesis (H0): p >= 0.10

Alternative hypothesis (Ha): p < 0.10

Using the same data, we calculate the test statistic (Z-score) as before:

Z = (0.04 - 0.10) / √(0.10 * (1 - 0.10) / 75) ≈ -2.12

Again, we find the p-value associated with the test statistic. For a one-tailed test, the p-value is the probability of observing a Z-score less than -2.12. Assuming a normal distribution, the p-value is still approximately 0.0174.

Since the p-value (0.0174) is greater than the significance level of 0.01, we fail to reject the null hypothesis. There is insufficient evidence to conclude that the proportion of users experiencing drowsiness is less than 10% based on the given data at a 0.01 level of significance.

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Answer:

She can make 2 groups of six, with five cookies remaining

Step-by-step explanation:

First, divide 17 by 6 to get 2 5/6. The whole number is the number of groups she can make, and the fraction is how many are left over. She can make two groups, with five left over.

Hopefully this helps - let me know if you have any questions!

Answer:

2 groups with 5 left over.

Step-by-step explanation:

to solve, take 17 and divide it by 2. since we only have 17 cookies, we round down no matter what. to get the left over, multiply 2 by 6, then subtract by 17.

please mark as brainlest.

Answer:

9:24 am

Step-by-step explanation:

89 bus = 8 minutes

368 bus = 12 minutes

Find the lowest common multiple(L.C.M) of 8 minutes and 12 minutes

8 minutes = 16, 24, 32, 40, 48

12 minutes = 24, 36, 48, 60

The L.C.M of 8 minutes and 12 minutes is 24 minutes

Both buses are at the same stop at 9 am.

The next time both buses will be at the same stand = 9 am + 24 minutes

= 9:24 am

Answer:

AC=11.38 cm

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

\(c^2=a^2+b^2-2ab\cos x\)

The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:

\(AC^2=17^2+13^2-2*17*13*\cos42^\circ\)

\(AC^2=289+169-442*0.7431\)

\(AC^2=129.53\)

\(AC=\sqrt{129.53}\)

AC=11.38 cm

Let's translate the words into mathematical symbols and numbers.

Ten years more than means +10

3/5 of means ×(3/5)

is 28 means = 28

So,

\(\frac{3}{5} x+10=28\\(\frac{5}{3}) \frac{3}{5}x=18(\frac{5}{3} )\\x=30\)

Jim is 30 y/o.

When you flip two coins 28 times, the best prediction possible for the number of times both coins will land on heads is 7 times.

This can be explained with the following calculations:

When flipping a coin, the chance of getting heads or tails is 1/2 or 0.5.

If you flip two coins, the probability of getting two heads is calculated by multiplying the probability of getting heads on the first coin by the probability of getting heads on the second coin, which is (1/2) x (1/2) = 1/4 or 0.25 or 25%.

To calculate the expected number of times both coins will land on heads in 28 flips, we use the following formula:

Expected value = Probability x Total number of flips

Expected value = 0.25 x 28

Expected value = 7

Therefore, the best prediction possible for the number of times both coins will land on heads is 7 times.

It's important to note that this is only a prediction, and the actual number of times both coins land on heads could be more or less than 7.

This is because probabilities are based on chance, and chance outcomes can be unpredictable.

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A function to define the area of the triangle is A(b,h) = (1/2)*b*h

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}.

1) A relation is said to be a function if every element of set A has one and only one image in set B.

2) A function is a relation from a non-empty set B such that the domain of a function is A and no two distinct ordered pairs in f have the same first element.

A function from A → B and (a,b) ∈ f, then f(a) = b, where 'b' is the image of 'a' under 'f' and 'a' is the preimage of 'b' under 'f'.

If there exists a function f: A → B, the set A is called the domain of the function f, and the set B is called its co-domain.

Let us assume that the base of the triangle is b and the height of the triangle is h.

So, a function to define the area of the triangle is

A(b,h) = (1/2)*b*h

This function is a function in two variables.

Thus, a function to define the area of the triangle is A(b,h) = (1/2)*b*h

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It  is unknown what proportion of employees at it's-a-living are happy with their job. if we randomly sample 300 and 159 are happy, based on this sample for the proportion who are happy gives mean result.

An unknown statistical parameter's expected range of values is shown by a confidence interval, a statistical measure. The confidence interval is an estimate of the range of potential population mean values if the parameter is the population mean.

By using approximation to the binomial,

σ=√npq

= √300*.095*159

=212.8

When using observed (sample) data, a confidence interval is computed at a set degree of confidence (chosen prior to the computation of the confidence interval). This confidence level, like a 95% confidence level, represents the accuracy of the estimating process; it does not represent the degree to which it is confident that the computed confidence interval accurately represents the parameter under investigation.

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Answer:

Answer:

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

The volume of the cube is 27x³ + 8y³ +54x²y + 36xy².

The volume of a cube is the cube of its side.

\(\rm{ Volume\ of\ cube = (side)^3\)

\((a+b)^3= a^3 +b^3 +3a^2b+3ab^2\)

\(\begin{aligned}Volume &= s^3\\&= (3x+2y)^3\end{aligned}\)

Applying algebraic Identity,

            \(=(3x+2y)^3\\\\ =(3x)^3+(2y)^3+[3\times (3y)^2 \times2y]+[3 \times 3x \times(2y)^2]\\\\= 27x^3 + 8y^3 +54x^2y +36xy^2\)          

Hence, the volume of the cube is 27x³ + 8y³ +54x²y + 36xy².

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Answer:

See below

Step-by-step explanation:

Odds AGAINST are 3 to5        then odds FOR are  2 to 5

    2/5   = .4 = 40%   chance of winning

The relative frequency for the 55 - 60 class is equal to 0.022.

In a frequency distribution table, a class width simply refers to the difference between the maximum) and minimum boundaries of any class in a data set.

This ultimately implies that, all classes must all have the same width in a frequency distribution table.

First of all, we would determine the total frequency as follows:

Total frequency = 8 + 10 + 6 + 7 + 15

Total frequency = 46.

Mathematically, the relative frequency of a class width can be calculated by using this formula:

Relative frequency = class frequency/total frequency

Relative frequency = 1/46

Relative frequency = 0.022

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.