What is the value of x?
36°

The chi-square test is appropriate to analyze the primary efficacy endpoint in this study

The chi-square test is a valid statistical hypothesis test when the test statistic is chi-square distributed under the null hypothesis. Specifically, Pearson's chi-square test and its variants. Used to compare observed and expected results. The purpose of this test is to determine whether differences between observed and expected data are due to chance or to relationships between the variables being examined.

A chi-square formula is a statistical formula for comparing two or more sets of statistical data. It is used for data consisting of variables that span different categories and is denoted by χ2. The chi-square formula is χ2 = ∑(Oi – Ei)2/Ei, where Oi = observed (actual) and Ei = expected.

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Answer:

I GOT YOU!

Step-by-step explanation:

⛅️= 10

❄️= 5

x = 8

So,

10+10+10=30

10+5+5=20

5+8= 13

10+5+8=23

I hope I helped...

Answer:

Step-by-step explanation:

I just tried all of them out until it worked. The equation is shown below

((x + 4)*4) + x

The coordinate vector of p relative to the basis S for P₂ is [2, -5, 2].

To find the coordinate vector of p relative to the basis S = {P₁, P₂, P₃} for P₂, we need to express p as a linear combination of the basis vectors and then determine the coefficients.

Given:

p = 12 - 10x + 8x²

P₁ = 6

P₂ = 2x

P₃ = 4x²

We want to find the coefficients a, b, c such that:

p = aP₁ + bP₂ + cP₃

Substituting the given expressions for P₁, P₂, and P₃, we have:

12 - 10x + 8x² = a(6) + b(2x) + c(4x²)

12 - 10x + 8x² = 6a + 2bx + 4cx²

To determine the coefficients, we can equate the corresponding terms on both sides of the equation.

For the constant term:

12 = 6a

For the linear term:

-10x = 2bx

-10 = 2b

For the quadratic term:

8x² = 4cx²

8 = 4c

Solving these equations, we find:

a = 2

b = -5

c = 2

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Answer:

b) 16 ÷ 4 × (11 - 7)

Step-by-step explanation:

Given statement,

→ quotient of 16 & 4 times 7 less than 11.

Forming the expression,

→ 16/(4(11 - 7))

→ 16 ÷ 4 × (11 - 7)

Evaluating the following,

→ 16 ÷ 4 × (11 - 7)

→ 16 ÷ (4 × 4)

→ 16 ÷ 16 = 1

Hence, option (b) is correct.

Answer:

3000

Step-by-step explanation:

you would multiply 500 times 60 because there are 60 minutes per hour

The simplified expression of 100-3(4. 25)-13-4(2. 99) is 48.29.

What is PEMDAS?

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). It is a mnemonic or acronym used to remember the order of operations when simplifying mathematical expressions.

To simplify the expression 100-3(4.25)-13-4(2.99), you can follow the order of operations (PEMDAS) which is:

Parentheses

Exponents

Multiplication and Division (from left to right)

Addition and Subtraction (from left to right)

Using this order, you can simplify the expression as follows:

100 - 3(4.25) - 13 - 4(2.99)

= 100 - 12.75 - 13 - 11.96 // multiply 3 and 4 with their respective numbers

= 62.29 - 13 - 11.96 // perform subtraction within parentheses

= 48.29 // perform final subtraction

Therefore, the simplified expression is 48.29.

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The person who ate more is Joe.

Fractions are type of numbers which are written in the form p/q, which implies that p parts in a whole of q.

Here p, called the numerator and q, called the denominator, are real numbers.

Total number of cookies = 12

Fraction that Joe ate = 2/3

Fraction that Peggy ate = 1/3

From the fractions itself, we can say that Joe ate more since the numerator is bigger for the fraction that Joe ate.

Number of cookies that Joe ate = 2/3 × 12 = 8

Number of cookies that Peggy ate = 1/3 × 12 = 4

Hence the number of cookies is more eaten by Joe.

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Answer:

Polynomial equation solver

x-3=3x-2

Standard form:

−2x − 1 = 0

Factorization:

−(2x + 1) = 0

Solutions:

x = −1

2

= -0.5

Answer:

I think it would be C. 9/13.

Answer:

B

Step-by-step explanation:

11/26 x 7/26 = 77/676

Step-by-step explanation:

[4.5]

_______________________________________.__

-5. -4. -3. -2. -1. 0. 1. 2. 3. 4. 5.

I think thats it

it took me forever sorry if im wrong but I think the absolute value is the space away from 0 so it would be 4.5 probably didn't have to do all that but whatever

Answer:

We would plot this point at 4.5 on the number line

Step-by-step explanation:

In order to do this, we need to know that the absolute value of a value is the how far it is from the 0 on the number line, this is exactly why absolute value can only be positive. Let me show you and example using your question. If we were to label points 4.5 and 0 on the number line and calculate the space between them (in units), we would get 4.5  Now that we know that absolute value of -4.5 is 4.5 we can now plot the point on the number line

Answer:

12.5 inches

Step-by-step explanation:

3/8 of 20 = 3/8 * 20 = 60/8 = 15/2 = 7.5

20 - 7.5 = 12.5

Answer:

12.5 inches

Step-by-step explanation:

20/8=2.5

2.5*3=7.5

20-7.5=12.5

Answer:

5/9

Step-by-step explanation:

The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

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The number of red chips in the bag is 4

From the question, we have the following parameters that can be used in our computation:

Number of chips = 10

Colours of chips = Blue and red

When 1 blue chip is removed, we have the following probability value

P(Blue) = 3/5

Express the denominator as 10

So, we have the following representation

P(Blue) = 6/10

This means that

Blue : Total = 6 : 10

This also means that

Blue : Blue + Red = 6 : 10

So, we have

Blue + Red = 10

Blue = 6

Substitute the known values in the above equation, so, we have the following representation

6 + Red = 10

Evaluate

Red = 4

Hence, the number of red chips is 4

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Complete question

a bag contains only red and blue plastic chips. there were 10 chips in the bag and 1 blue chip was removed. the probability of drawing a blue chip was then 3/5. how many red chips were in the bag?

Answer: x=-4

Step-by-step explanation:

f(x)=6*x

f(x)=-24

-24= 6x

X=-4

The probability of happening of the events either B or C is \(\frac{2}{3}\)

The probability that event A or event B happens is equal to the

probability that A happens plus the probability that B happens minus the probability that both happen. If events A and B are mutually exclusive, then the probability that event A or B happens is simply the sum of the probabilities. Given that

A = rolling a number greater than four

B = rolling an even number

C = rolling a multiple of 3

So,

P(A) = \(\frac{2}{6} =\frac{1}{3}\)

P(B)=\(\frac{3}{6} =\frac{1}{2}\)

P(C) = \(\frac{2}{6} =\frac{1}{3}\)

Now, We have to find the probability of occurence of either event B or C

So, We know that

P(B or C ) = P(B) + P(C) + P(B or C)

P(B or C )= \(\frac{3}{6} +\frac{2}{6} -\frac{1}{6} =\frac{4}{6}\)

P(BorC)= \(\frac{2}{3}\)

Therefore, the probability of occurence of either event B or C is \(\frac{2}{3}\).

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Since the total probability of the sample space S must be equal to 1, it is not possible for three events with probabilities that add up to more than 1 to form the sample space.

9. If S={a,b,c,d,e,f} with P(a)=P(b)=P(c) and P(d)=P(e)=P(f)=0.1, find P(a).

Since P(a), P(b), and P(c) are equal, we can let P(a) = P(b) = P(c) = x.

Then, we know that P(d) = P(e) = P(f) = 0.1.

The total probability of the sample space S is equal to 1. So, we can write the equation:
P(a) + P(b) + P(c) + P(d) + P(e) + P(f) = 1

Substituting the given values, we get:
3x + 0.1 + 0.1 + 0.1 = 1
3x + 0.3 = 1
3x = 1 - 0.3
3x = 0.7

Dividing both sides by 3, we find:
x = 0.7/3
So, P(a) = 0.233.

10. If S={a,b,c,d,e,f} with P(a)=P(b)=P(c), P(d)=P(e)=P(f), and P(d)=2P(a), find P(a).

Let P(a) = P(b) = P(c) = x. And let P(d) = P(e) = P(f) = y.

We also know that P(d) = 2P(a).

Using the equation for the total probability:
P(a) + P(b) + P(c) + P(d) + P(e) + P(f) = 1

We can substitute the given values:
3x + 3y = 1
We also know that P(d) = 2P(a):
y = 2x

Substituting this into the previous equation:
3x + 3(2x) = 1
3x + 6x = 1
9x = 1

Dividing both sides by 9, we find:
x = 1/9
So, P(a) = P(b) = P(c) = 1/9.

11. If E and F are two disjoint events in S with P(E)=0.2 and P(F)=0.4, find P(E∪F), P(Ec), and P(E∩F).

Since E and F are disjoint, their intersection, E∩F, is empty.

The probability of the union of two disjoint events is the sum of their individual probabilities:
P(E∪F) = P(E) + P(F) = 0.2 + 0.4 = 0.6

The complement of E, Ec, is the event that consists of all outcomes in S that are not in E.

The complement of an event has a probability equal to 1 minus the probability of the event:
P(Ec) = 1 - P(E) = 1 - 0.2 = 0.8

Since E and F are disjoint, their intersection, E∩F, is empty, so its probability is 0:
P(E∩F) = 0

12. It is not possible for E and F to be two disjoint events in S with P(E)=0.5 and P(F)=0.7 because the sum of their probabilities would exceed 1.

Since the total probability of the sample space S must be equal to 1, it is not possible for two events with probabilities that add up to more than 1 to be disjoint.

13. If E and F are two disjoint events in S with P(E)=0.4 and P(F)=0.3, find P(E∪F), P(Fc), P(E∩F), P((E∪F)c), and P((E∩F)c).
Since E and F are disjoint, their intersection, E∩F, is empty.

The probability of the union of two disjoint events is the sum of their individual probabilities:
P(E∪F) = P(E) + P(F) = 0.4 + 0.3 = 0.7

The complement of F, Fc, is the event that consists of all outcomes in S that are not in F.

The complement of an event has a probability equal to 1 minus the probability of the event:
P(Fc) = 1 - P(F)

= 1 - 0.3

= 0.7
Since E and F are disjoint, their intersection, E∩F, is empty, so its probability is 0:
P(E∩F) = 0

The complement of the union of two events, (E∪F)c, is the event that consists of all outcomes in S that are not in the union of E and F.

The complement of an event has a probability equal to 1 minus the probability of the event:

P((E∪F)c) = 1 - P(E∪F) = 1 - 0.7 = 0.3
The complement of the intersection of two events, (E∩F)c, is the event that consists of all outcomes in S that are not in the intersection of E and F.

The complement of an event has a probability equal to 1 minus the probability of the event:
P((E∩F)c) = 1 - P(E∩F) = 1 - 0 = 1

14. It is not possible for S={a,b,c} with P(a)=0.3, P(b)=0.4, and P(c)=0.5 because the sum of their probabilities exceeds 1.

Since the total probability of the sample space S must be equal to 1, it is not possible for three events with probabilities that add up to more than 1 to form the sample space.

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Answer:

Step-by-step explanation:

We need to move the 6 so that all three terms are on the left and only 0 is present on the right side:  To do this, we (C) subtract 6 from both sides to set the equation equal to 0.

x^2 + 5x - 6 = 0

Answer:(1,16) and (-1,-16)

Step-by-step explanation:

For example, the pair factors of 16 are written as

Answer:

Its 3 1/4

Step-by-step explanation:

The required explanation for log of base 10 is described.

The ability of logarithms to solve exponential problems is a large part of their strength. Examples of this include sound (measured in decibels), earthquakes (measured on the Richter scale), starlight brightness, and chemistry (pH balance, a measure of acidity and alkalinity).

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

The logarithm can be rewritten using the general rule. The common logarithm, which has a base of 10 always, is what you're dealing with when the log has no base.

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Answer:

J (6,-2)

K (6,-1)

L (0,-1)

M (0,-2)

Step-by-step explanation:

Answer:

760.30 - 10 = 750.30

750.30÷9.15=82

Step-by-step explanation:

Take what he have at the end subtract by what he had ad at the start to find how much he earned in total.

Then divide by the money earned per hour to find how many hours worked.

The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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Data

• The data is normally distributed.

• Average: 53

• Standard deviation: 4

• Random individual: between 50 and 55.

Procedure

As it is normally distributed, we have to use Z:

Replacing our values for 50 and 55:

• 50

• 55

Therefore, our probability is equal in terms of Z:

Using the Standard Normal Table we can see that:

While the other value we need:

Finally:

Answer:

d.

Step-by-step explanation:

The radian measure of the angle at the center of the circle is approximately 1.6623 radians.

We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.

To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.

The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)

Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.

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