Can someone please find out what x is?

Based on the given Normal model with a mean of $197.76 and a standard deviation of $7.19 for the daily closing price of a stock over 300 trading days, we can calculate the probabilities of different scenarios.

a) To find the probability that the stock price is above $204.95, we need to calculate the area under the Normal distribution curve to the right of $204.95. This can be done by calculating the z-score for $204.95 and using the standard Normal distribution table or a statistical software. The probability obtained represents the proportion of values that fall above $204.95.

b) To find the probability that the stock price is below $212.14, we calculate the area under the Normal distribution curve to the left of $212.14, which represents the proportion of values that fall below $212.14.

c) To find the probability that the stock price is between $183.38 and $212.14, we need to calculate the area under the Normal distribution curve between these two values. This can be done by finding the areas to the left and right of each value and subtracting the smaller area from the larger one.

d) To determine which event is more unusual, we compare the probabilities calculated in parts a) and b). If the probability of closing above $210 is smaller than the probability of closing below $190, then closing above $210 would be more unusual. If the probability of closing above $210 is greater, then closing below $190 would be more unusual.

The specific numerical values for the probabilities in parts a), b), c), and d) can be obtained by performing the calculations using the given mean and standard deviation in the Normal model.

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Answer:

14.5, 14.8, 15, 15.3, 15.8

Step-by-step explanation:

There are 1799 members in art club .

A linear equation has the algebraic form y=mx+b, where m is the slope and b is the y-intercept, and consists of a first-order (linear) term and a constant. When x and y are the variables, the aforementioned is sometimes referred to as a "linear equation of two variables."

Each line in the Euclidean plane is conceived of as a collection of all the answers to a linear equation with two variables. Lines represent the solutions of linear equations in the Euclidean plane. This is where the word "linear," which is used to characterize this class of equations, originates.

d-dance club

a-art club

Lets set system of equations:

d=3a

a=d-3598

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

a=3a-3598

3598=3a-a

3598=2a

a=1799

so there are 1799 members in art club .

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Answer:

  32,670 ft²

Step-by-step explanation:

An acre is 43,560 square feet. You want 3/4 of that area.

The area of the lot will be ...

  (3/4)(43,560 ft²) = 32,670 ft² . . . . 3/4 acre

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Let's substitute x with 5 to find the value of given expression ~

The value of the expression is 60.

According to the BODMAS rule, when there is a mathematical expression with a bracket, the terms in the bracket should be solved first. So the value of the expression in the bracket would be solved first.

(3(5) + 5)

(15 + 5)

= 20

The second step is to multiply 20 by 3.

20 x 3 = 60

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Answer:

3003

Step-by-step explanation:

This is a combination since the order doesn't matter

15 C 10

The formula

15!

-------

10! (15-10)!

15*14*13*12*11

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

5*4*3*2*1

3003

Error: The error in using properties of parallelograms is assuming that all quadrilaterals with opposite sides that are parallel are parallelograms.

Correction: Not all quadrilaterals with opposite sides that are parallel are parallelograms. To determine if a quadrilateral is a parallelogram, both pairs of opposite sides must be parallel and equal in length. Additionally, the opposite angles must be congruent. These conditions must be satisfied for a quadrilateral to be classified as a parallelogram.

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An example of a sample space S could be rolling a fair six-sided die, where each face has a number from 1 to 6.
Let's define three events:
- E1: Rolling an even number (2, 4, or 6)
- E2: Rolling a number less than 4 (1, 2, or 3)
- E3: Rolling a prime number (2, 3, or 5)
To verify that these events are pairwise independent, we need to check that the probability of the intersection of any two events is equal to the product of their individual probabilities.
1. E1 ∩ E2: The numbers that satisfy both events are 2. So, P(E1 ∩ E2) = 1/6. Since P(E1) = 3/6 and P(E2) = 3/6, we have P(E1) × P(E2) = (3/6) × (3/6) = 9/36 = 1/4. Since P(E1 ∩ E2) = P(E1) × P(E2), E1 and E2 are pairwise independent.

2. E1 ∩ E3: The numbers that satisfy both events are 2. So, P(E1 ∩ E3) = 1/6. Since P(E1) = 3/6 and P(E3) = 3/6, we have P(E1) × P(E3) = (3/6) × (3/6) = 9/36 = 1/4. Since P(E1 ∩ E3) = P(E1) × P(E3), E1 and E3 are pairwise independent.

3. E2 ∩ E3: The numbers that satisfy both events are 2 and 3. So, P(E2 ∩ E3) = 2/6 = 1/3. Since P(E2) = 3/6 and P(E3) = 3/6, we have P(E2) × P(E3) = (3/6) × (3/6) = 9/36 = 1/4. Since P(E2 ∩ E3) ≠ P(E2) × P(E3), E2 and E3 are not pairwise independent.
Therefore, we have found an example where E1 and E2, as well as E1 and E3, are pairwise independent, but E2 and E3 are not pairwise independent. Hence, these events are not mutually independent.

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Therefore, The null hypothesis is that the proportion of customers who try out the samples being offered is 0.15 or less, while the alternative hypothesis is that the proportion is more than 0.15.

The null hypothesis (H0) for this test is that the proportion of customers who try out the samples being offered is 0.15 or less. The alternative hypothesis (Ha) is that the proportion of customers who try out the samples being offered is more than 0.15.
The researcher wants to test whether the proportion of customers who try out the samples being offered is higher than 0.15, which means the null hypothesis states that the proportion is 0.15 or lower. The alternative hypothesis, on the other hand, suggests that the proportion is greater than 0.15. The researcher will conduct a hypothesis test to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.
Therefore, The null hypothesis is that the proportion of customers who try out the samples being offered is 0.15 or less, while the alternative hypothesis is that the proportion is more than 0.15.

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Answer: -16

Step-by-step explanation:

66.67%.

Divide the two; 400/600. Then, multiply by 100 to get a percentage.

The interval of convergence, i, is [-1, 1), which means the series converges for all x values between -1 (inclusive) and 1 (exclusive).

To find the radius of convergence, r, and the interval of convergence, i, of the series ∑((-1)^n * n^4 * x^n) / (6^n), we can use the ratio test.

The ratio test states that for a power series ∑(a_n * x^n), if the limit of the absolute value of the ratio of consecutive terms is L, then the series converges if L < 1 and diverges if L > 1.

Let's apply the ratio test to our series:

lim(n->∞) |((-1)^(n+1) * (n+1)^4 * x^(n+1)) / (6^(n+1))| / |((-1)^n * n^4 * x^n) / (6^n)|

Simplifying this expression:

lim(n->∞) |(-1)^(n+1) * (n+1)^4 * x^(n+1) * 6^n| / |((-1)^n * n^4 * x^n) * 6^(n+1)|

Taking out common terms:

lim(n->∞) |(n+1)^4 * 6^n * x^(n+1)| / |n^4 * 6^n * x^n * 6|

Simplifying further:

lim(n->∞) |(n+1)^4 * x * 6| / |n^4 * 6|

As n approaches infinity, we can drop the absolute value signs:

lim(n->∞) [(n+1)^4 * x * 6] / [n^4 * 6]

Simplifying the expression inside the limit:

lim(n->∞) (n^4 + 4n^3 + 6n^2 + 4n + 1) * x * 6 / (n^4 * 6)

Canceling out common terms and simplifying:

lim(n->∞) (1 + 4/n + 6/n^2 + 4/n^3 + 1/n^4) * x

As n approaches infinity, the terms with 1/n^k (where k > 0) tend to zero. Therefore, we are left with:

lim(n->∞) (1) * x

The limit is simply x, which gives us the ratio L.

To apply the ratio test, we set L < 1 and solve for x:

x < 1

Therefore, the radius of convergence, r, is 1.

Now, to determine the interval of convergence, i, we need to check the endpoints of the interval. We evaluate the series at the endpoints x = -1 and x = 1.

For x = -1:

∑((-1)^n * n^4 * (-1)^n) / (6^n) = ∑(n^4) / (6^n)

This series is a convergent p-series with p = 4 > 1. Therefore, it converges at x = -1.

For x = 1:

∑((-1)^n * n^4) / (6^n)

This series does not satisfy the alternating series test because the terms do not approach zero as n approaches infinity. Therefore, it diverges at x = 1.

Hence, the interval of convergence, i, is [-1, 1), which means the series converges for all x values between -1 (inclusive) and 1 (exclusive).

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Answer:

30

Step-by-step explanation:

The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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Answer:

J' (-5, -6)

K' (-7, -7)

L' (-9, -6)

M' (-7, -3)

Step-by-step explanation:

From inspection of the image:

J (6, 5)

K (7, 7)

L (6, 9)

M (3, 7)

y = -x  ⇒  x = -y

So if we reflect the points over the line y = -x then

(x, y) → (-y, -x)

Therefore,

J (6, 5) → J' (-5, -6)

K (7, 7) → K' (-7, -7)

L (6, 9) → L' (-9, -6)

M (3, 7) → M' (-7, -3)

The points are

The rule here is (x,y)=(-y,-x)

Now

new points

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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So,

Let "x" and "y" be the numbers that we're asking for.

As we know, one number is one more than the other, so we could write:

And,

Now, the equation that we could state is:

The additive inverse of 6/5 is -6/5. The reason is that when you add a number and its additive inverse, the result is always zero: 6/5 + (-6/5) = 0.

In mathematics, when we have a fraction with a negative numerator and a negative denominator, we can simplify the fraction by dividing both the numerator and denominator by the greatest common factor (GCF) of the absolute values of the numerator and denominator. This process does not change the sign of the fraction.

In the case of -6/-5, the absolute value of the numerator is 6 and the absolute value of the denominator is 5, and the GCF of 6 and 5 is 1. Dividing both the numerator and denominator by 1 gives us -6/-5, which is equivalent to 6/5, with the negative sign indicating that the fraction is negative.

So the negative or additive inverse of -6/-5 is simply its equivalent positive fraction, which is 6/5. This is because the additive inverse of any fraction is a fraction that, when added to the original fraction, results in 0. In this case, adding -6/-5 and 6/5 results in 0.

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Answer: $8

Step-by-step explanation: 10+7 $17 She spent $17 .

25-17 = 8 Ann had $8 left .( 17+8= 25 )

The dim Nul A refers to the dimension of the null space of the matrix A, which is the number of free variables in the matrix.  dim Nul A = 6, and Col A ≠ R^2. The correct answer is B: No, because Col A is a subspace of R^7.

The rank-nullity theorem states that:
rank(A) + dim Nul A = number of columns in A
Given that matrix A is a 7x8 matrix with two pivot columns, we can calculate the dimension of its null space as follows:
1. Determine the rank of matrix A: Since there are two pivot columns, the rank of matrix A (rank A) is 2.
2. Apply the rank-nullity theorem: rank(A) + dim Nul A = number of columns in A
  In this case, 2 + dim Nul A = 8.
3. Solve for dim Nul A: dim Nul A = 8 - 2 = 6.
So, dim Nul A = 6.
To determine if Col A is equal to R^2, we need to consider the dimension of the column space of matrix A. The dimension of the column space is equal to the rank of matrix A:
dim Col A = rank A = 2.
However, Col A is a subspace of R^7 because the matrix A has 7 rows. Therefore, Col A cannot be equal to R^2, which is a subspace of R^2.

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The amount he will pay with the friend  if 20% is deducted before adding tax is $56.55

We should know that we have to deduct the tip for excellent driving g before adding up the tax to the total first.

The given parameters are

Bill =$65

Tax rate= 7%

Tip for excellent driving =20%

First deduct 0.2*65

=13

Balance = $(65-13)

Balance= $52.00

Tax = 0.07*65

Tax = 4.55

Then $(52.00+4.55)

= $56.55

In conclusion, the amount he will pay with the friend  if 20% is deducted before adding tax is $56.55

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Answer:

a) x = 60°

b) x = 60°

Step-by-step explanation:

In a triangle, the sum of all angles add up to 180, hence the equations,

180°-___-____ = ___

a)

180° - 50° = 130°

130° - 70° = 60°

a) x = 60°

b)

180° - 30° = 150°

150° - 90° = 60°

b) x = 60°

In this experiment, the subjects are divided into groups by a variable of interest and the elements are then randomly allocated to treatment and control groups within these groups.

The correct option(d) a subgroup of experimental subjects randomly assigned the same treatment.

Cluster Sampling is a probability sampling method where the target population is divided into clusters. Some of these clusters are selected randomly for sampling and all the members are studied under each randomly selected cluster.

Stratified Sampling is a probability sampling method, in which a population is divided into unique, homogeneous strata, members from these strata are randomly selected to form a sample.

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Answer:

x = 5 and y = 15

Step-by-step explanation:

3x + 2y = 45        (call this equation '1')

4x - y = 5      (call this equation '2')

multiply '2' by two

8x - 2y = 10         (call this equation '3')

add '1' and '3'

(3+8)x + (-2 + 2)y = (45 + 10)

11x = 55

x = 5.

now substitute this value into '1'

3x + 2y = 45

3(5) + 2y = 45

15 + 2y = 45

2y = 45 - 15 = 30

y = 15

now substitute x = 5 and y =15 into '2' to check if they're correct

4x - y = 5

4(5) - 15 = 5

20 - 15 = 5.

So, x = 5 and y = 15

Answer:

I will help ur soul

Step-by-step explanation:

Do u need the work as well?

The expression is 2 - m/4 + 10, when m = 12, the value is 9. Then the correct option is C.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Two less than the quotient of a number and four, increased by ten.

That can be written as in the form of m will be

\(\rm 2 - \dfrac{m}{4} + 10\)

If the value of m is 12, then we have

\(\rm 2 - \dfrac{m}{4} + 10\\\\\rm 2 - \dfrac{12}{4} + 10\\\\2- 3 + 10\\\\12 - 3 \\\\9\)

Thus, the expression is 2 - m/4 + 10, when m = 12, the value is 9. Then the correct option is C.

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Answer:

D

Step-by-step explanation:

Given that John climbs a height of \($(x + 5)$\) miles in \($(x - 1)$\) hours and Jane climbs a height of \($(x + 11)$\) miles in \($(x + 1)$\) hours. We know that the distance covered by both John and Jane are equal.

Distance covered by John = Distance covered by Jane

Therefore, \($(x + 5) = (x + 11)$\)

Thus, x = 6

Now, we need to find the speed of both, which is given by the formulae:

Speed = Distance / Time

So, speed of John = \($(x + 5) / (x - 1)$\) Speed of John =\($11 / 5$\) mph

Similarly, speed of Jane = \($(x + 11) / (x + 1)$\)

Speed of Jane = \($17 / 7$\) mph

Since both have to be equal, Speed of John = Speed of Jane Therefore,

\($(x + 5) / (x - 1) = (x + 11) / (x + 1)$\)

Solving this equation we get ,x = 2Speed of John = \($7 / 3$\) mph

Speed of Jane = \($7 / 3$\) mph

Thus, their speed was \($7 / 3$\) mph.

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Answer:

8

Step-by-step explanation:

Multiply $20 by .4.

Answer:

21,337.85 8,589 e

takethe 6,139 6,139 nawa og 8,589

Toy 1.40495_ear to 02 Yang es 2.48432 e

es Inc4oua5 Ince r 2 incz484323 lnceo.at

Step-by-step explanation: