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binomial......... .........

The p-value associated with the test statistic is 0.018, which is less than the significance level of 10%.

If the p-value is less than the significance level (10%), then the manager can reject the null hypothesis in favor of the alternative hypothesis, which is that the average number of times car owners rotate their tires in a year is less than two.

Based on the sample data of 14 car owners, the mean number of times their tires were rotated in the last 12 months is 1.36, which is less than two. The standard deviation of the sample is 1.16, and the t-test statistic is calculated to be -2.28.

Using a t-distribution table with 13 degrees of freedom (n-1), the critical t-value at a significance level of 10% is -1.771. Since the t-test statistic (-2.28) is less than the critical t-value (-1.771), there is enough evidence to reject the null hypothesis.

Therefore, the manager can conclude that based on this sample data, there is sufficient evidence to suggest that car owners rotate their tires less frequently than the recommended amount in the owner's manual.

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Answer:

10 cm * 6 cm = 60 cm²

Step-by-step explanation:

There is a formula to calculate thevarea.

Tthe area of a rectangular (flat) surface is length * width.

If the length is 10 cm and the width is 6 cm then you have found your answer just by substituting those numbers.

Please also note the proper unit of the area, which is in this question defined in square cm. You can easily see why, because cm * cm results in cm². Mathematics (and physics) is wonderful !

Answer:

0.94

Step-by-step explanation:

You just divide 47 by 50 and you get 0.94 bam!

The heart-shaped curve traced around a point on the circumference of a circle rolling completely around an equal fixed circle is called a "Cardioid."

A cardioid is a mathematical curve that is formed by tracing a point on a circle that rolls around another fixed circle. The term "cardioid" is derived from the Greek word "kardia," which means heart, as the curve resembles the shape of a heart. The cardioid curve has several interesting properties, including symmetry about a line called the "polar axis." The curve also has a "cusp" at the bottom point of the heart shape, where the curve changes direction abruptly. The length of the curve is four times the diameter of the rolling circle. Cardioids have applications in a variety of fields, including mathematics, physics, and engineering. They are used in the design of certain types of antennas, in the analysis of fluid flow, and in the study of planetary motion. They also have applications in the creation of heart-shaped designs in art and decoration. In summary, a cardioid is a heart-shaped curve that is formed by tracing a point on the circumference of a circle that rolls completely around an equal fixed circle. It has unique properties and applications in a variety of fields.

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Step 1:

Find the greatest common factor of -45x and +72.

3 | -45x | +72

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

3 | -15x | +24

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

| -5x | +8

Therefore, the greatest common factor of -45x and +72 is 3 x 3 = 9

Step 2:

Factor out the greatest common factor

Therefore the correct answer 9(-5x + 8)

The average of the three hidden prime numbers is 5, as the sum of any two of the numbers is equal to 10, and since all three numbers are prime, the only possible values are 3, 5, and 7.

3 + 5 + 7 = 15

15/3 = 5

The average of the three hidden prime numbers is 5. This means that the sum of any two of the numbers on the cards must be equal to 10. Since all three numbers are prime,as the sum of any two of the numbers is equal to 10 the only possible values are 3, 5, and 7. Therefore, the three numbers on the hidden sides of the cards are 3, 5, and 7. To calculate the average, we add the three values together and divide by three. 3 + 5 + 7 = 15, and 15 divided by 3 is 5. Therefore, the average of the hidden prime numbers is 5.

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1.45

2.136

3.62

4.136

5.45

I think that's right

Answer:

773.8 inch²

Step-by-step explanation:

Find the surface area at first

the top and bottom = 6²π = 36π  

around is circumference x by height = 12π x 15 = 180 π

multiply these by 3/4

top = 27π

bottom = 27π

around = 135π

add the two rectangles  = 180 inch²

Total = 773.8

Answer:

The answer is 14 1/2.

Step-by-step explanation:

The reason this is the answer is because once you add it all up u get 13 31/36 and estimated it is closer to thats than any other answer choice.

Answer:

I got c on edg 2021

Step-by-step explanation:

Answer:

f(x)= -2|x-3|-1

(Hi Simran! I just wanted to help you with this question though it might be wrong)

Step-by-step explanation:

f(x) = a|x-h|+k

f(x)= a|x-3|-1

-7 = a |0-3| -1

-7 = a |-3| -1 <-- add to -7

-6 = a |-3|

-6 = 3a

-6/3 = a

-2 = a

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

The equation of the absolute value is f(x)= -2|x-3|-1

The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

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The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

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Answer:

22

Step-by-step explanation:

sin(X) = perpendicular/base

sin(X) = 7/19

X=arcsin(7/19)=22

Diana is three years younger than Eduardo, and Eduardo is four years older than Chad, while Faye is three years older than Chad;

we can come up with a way to solve this problem using a system of linear equations.

As such, let's use the following variables for their ages:

Let D be the age of DianaLet E be the age of EduardoLet C be the age of ChadLet F be the age of FayeBased on the problem statement, we have that:

D = E - 3 (Diana is three years younger than Eduardo)

E = C + 4 (Eduardo is four years older than Chad)

F = C + 3 (Faye is three years older than Chad)

Furthermore, we know that Diana is 14 years old; hence we can substitute that in the equation for Diana's age:

14 = E - 3By adding 3 to both sides of the equation, we get:

E = 17Substituting this value of E in the equation for Faye's age, we get:

F = C + 3Since we don't know Chad's age (i.e., C), we cannot directly calculate Faye's age.

However, we can use another piece of information from the problem statement to determine Chad's age: Eduardo is four years older than Chad.

We know that Eduardo is 17 years old (from above), so Chad must be 17 - 4 = 13 years old.Now we can substitute this value of Chad's age in Faye's equation:

F = C + 3 = 13 + 3 = 16

Therefore, Faye is 16 years old.

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(a)An function the deformation gradient F is F = 1 γ 0,0 2X2 0,0 0 1

(b The right Cauchy-Green deformation tensor C is C = 1+γ²γ 0,

γ 4X2²0,0 0 1 the left Cauchy-Green deformation tensor B is B = 1+γ² γ 0,γ γ²+4X2² 0,0 0 1.

(a) Deformation Gradient F:

The deformation gradient is defined as the derivative of the deformed coordinates x with respect to the initial coordinates X:

F = ∂x/∂X

Given the shear deformation x = φ(X) with x1 = X1 + γX2, x2 = X2X2, and x3 = X3, we can compute the deformation gradient as follows:

F =∂x1/∂X1 ∂x1/∂X2 ∂x1/∂X3

∂x2/∂X1 ∂x2/∂X2 ∂x2/∂X3

∂x3/∂X1 ∂x3/∂X2 ∂x3/∂X3

Taking the partial derivatives:

∂x1/∂X1 = 1, ∂x1/∂X2 = γ, ∂x1/∂X3 = 0

∂x2/∂X1 = 0, ∂x2/∂X2 = 2X2, ∂x2/∂X3 = 0

∂x3/∂X1 = 0, ∂x3/∂X2 = 0, ∂x3/∂X3 = 1

(b) Right and Left Cauchy-Green Deformation Tensors C and B:

The right Cauchy-Green deformation tensor C is defined as the square of the deformation gradient:

C = F²T × F

The left Cauchy-Green deformation tensor B is defined as the square of the transpose of the deformation gradient:

B = F × F²T

Calculating C:

C = F²T × F

C = 1 0 0

γ 2X2 0

0 0 1

1 γ 0

0 2X2 0

0 0 1

C =1+γ² γ 0

γ 4X2² 0

0 0 1

Calculating B:

B = F × F²T

B = 1 γ 0

0 2X2 0

0 0 1

1 0 0

γ 2X2 0

0 0 1

B = 1+γ² γ 0

γ γ²+4X2² 0

0 0 1

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Answer:

33 miles

Step-by-step explanation: I think it is correct

Monday: 3 miles

Tuesday: 10 miles

Wednesday: 20 miles because 10 x 2 = 20

3 miles + 10 miles + 20 miles = 33 miles

Hope this helps!

The marginal probability mass function for X is given by P(X = 1) = 6/18 = 1/3P(X = 2) = 5/18P(X = 3) = 5/18.

First, let us compute the marginal probability mass function for X.

p(1,1) + p(2,1) + p(3,1) = 1/9 + 1/3 + 1/9 = 5/9p(1,2) + p(2,2) + p(3,2) = 1/9 + 0 + 1/18 = 1/6p(1,3) + p(2,3) + p(3,3) = 0 + 1/6 + 1/9 = 5/18

Therefore, the marginal probability mass function for X is given by P(X = 1) = 6/18 = 1/3P(X = 2) = 5/18P(X = 3) = 5/18

We are asked to compute E[X|Y = 1], E[X|Y = 2], and E[X|Y = 3]. We know that E[X|Y] = ∑xp(x|y) / p(y)

Therefore, let us compute the conditional probability mass function for X given Y = 1.

p(1|1) = 1/9 / (5/9) = 1/5p(2|1) = 1/3 / (5/9) = 3/5p(3|1) = 1/9 / (5/9) = 1/5

Therefore, the conditional probability mass function for X given Y = 1 is given by P(X = 1|Y = 1) = 1/5P(X = 2|Y = 1) = 3/5P(X = 3|Y = 1) = 1/5

Therefore, E[X|Y = 1] = 1/5 × 1 + 3/5 × 2 + 1/5 × 3 = 1.8

Next, let us compute the conditional probability mass function for X given Y = 2.

p(1|2) = 1/9 / (1/6) = 2/3p(2|2) = 0 / (1/6) = 0p(3|2) = 1/18 / (1/6) = 1/3

Therefore, the conditional probability mass function for X given Y = 2 is given by P(X = 1|Y = 2) = 2/3P(X = 2|Y = 2) = 0P(X = 3|Y = 2) = 1/3

Therefore, E[X|Y = 2] = 2/3 × 1 + 0 + 1/3 × 3 = 2

Finally, let us compute the conditional probability mass function for X given Y = 3.

p(1|3) = 0 / (5/18) = 0p(2|3) = 1/6 / (5/18) = 6/5p(3|3) = 1/9 / (5/18) = 2/5

Therefore, the conditional probability mass function for X given Y = 3 is given by P(X = 1|Y = 3) = 0P(X = 2|Y = 3) = 6/5P(X = 3|Y = 3) = 2/5

Therefore, E[X|Y = 3] = 0 × 1 + 6/5 × 2 + 2/5 × 3 = 2.4

Therefore,E[X|Y=1] = 1.8,E[X|Y=2] = 2,E[X|Y=3] = 2.4.

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Answer:

vvgvgvgvghgvggvt

Step-by-step explanation:

Answer:

both are 2cnd play

Step-by-step explanation:

Answer:

y=-2x+2

Explanations:

the slope is -2 and the y-intercept is (0,2)

Answer: 72 feet²

Step-by-step explanation: Area scale factor = 1.5² = 2.25 Area of the window after it is enlarged = Original area × 2.25 The original area = 8 feet × 4 feet = 32 feet² Area of the window after it is enlarged = 32 feet² × 2.25 = 72 feet²

a)\textbf{a)} The number of 6-element RNA sequences without "U" is $3^6 = 729$.

b)\textbf{b)} The number of 6-element RNA sequences ending with "GU" is $4^4 = 256$.

c)\textbf{c)} The number of 6-element RNA sequences starting with "C" is $4^5 = 1024$.

d)\textbf{d)} The number of 6-element RNA sequences containing only "A" or "U" is $2^6 = 64$.

What is Combinatorics?

A subfield of mathematics known as combinatorics concerns the systematic numbering, arrangement, and organization of things or elements. Discrete structures like combinations, permutations, and subsets are studied in terms of their characteristics and connections. In many areas of mathematics, computer science, and other disciplines where counting and object arrangement is crucial, combinatorics plays a critical role. It has uses in the design of algorithms as well as areas including probability theory, cryptography, graph theory, and optimization. In a wide variety of real-world applications, combinatorial approaches are employed to handle counting, arranging, and optimization issues.

a) To find the number of 6-element RNA sequences that do not contain ``U" (uracil), we need to count the number of possibilities for each position. Since there are four different nucleotides (A, C, G, and U), and we want to exclude ``U," we have three options (A, C, and G) for each position. Therefore, the total number of such sequences is $3^6 = 729$.

b) To count the number of 6-element RNA sequences that end with ``GU," we fix the last two positions as ``G" and ``U" and count the possibilities for the remaining four positions. For each of the remaining positions, we can choose any of the four nucleotides (A, C, G, or U). Therefore, the number of such sequences is $4^4 = 256$.

c) To determine the number of 6-element RNA sequences that start with ``C," we fix the first position as ``C" and count the possibilities for the remaining five positions. For each of the remaining positions, we can choose any of the four nucleotides (A, C, G, or U). Hence, the number of such sequences is $4^5 = 1024$.

d) To count the number of 6-element RNA sequences that contain only ``A" or ``U" (adenine or uracil), we have two choices (A or U) for each position. Therefore, the total number of such sequences is $2^6 = 64$.

a)\textbf{a)} The number of 6-element RNA sequences without "U" is $3^6 = 729$.

b)\textbf{b)} The number of 6-element RNA sequences ending with "GU" is $4^4 = 256$.

c)\textbf{c)} The number of 6-element RNA sequences starting with "C" is $4^5 = 1024$.

d)\textbf{d)} The number of 6-element RNA sequences containing only "A" or "U" is $2^6 = 64$.

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Answer:

\({ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}\)

Answer:

90

Step-by-step explanation:

Answer:

i dont know..

Step-by-step explanation:

Answer:

angle congruent to a given angle.

Step-by-step explanation:

This is the construction of an angle congruent to a given angle.

Answer:

esa respuesta está bien

The no. of miles driven for the cost of using Taxi A to be $2 greater than the cost of using Taxi B is; 10 miles.

For taxi A;

For taxi B;

According to the question;

I.e; When m = m; C(a) = C(b) + 2.

Therefore;

The no of miles driven can then be evaluated by solving the equation simultaneously;

Substraction of eqn(2) from (1) ; we have;

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Answer:

42 students

Step-by-step explanation:

A percentage can be converted to a decimal. 30% -> 0.30.

Now multiply 60x0.30, which is 18.

So 18 were wearing sweatshirts. But that's not what we need.

Subtract 60-18, which is 42.

42 were not wearing sweatshirts.

---

hope it helps

The approximate probability that all four seniors will be chosen at random is 0.48%.

To calculate the approximate probability that all four seniors will be chosen at random out of four seniors and six juniors competing for four places on a quiz bowl team, we need to consider the total number of ways to choose four students out of the ten, as well as the specific number of ways to choose all four seniors.

The total number of ways to choose four students out of the ten is given by the combination formula:

C(n, r) = n! / (r!(n - r)!)

Where n is the total number of students (10 in this case) and r is the number of students to be chosen (4 in this case).

So, the total number of ways to choose four students out of ten is:

C(10, 4) = 10! / (4!(10 - 4)!) = 210

Now, we need to determine the number of ways to choose all four seniors out of the four available senior spots. Since we are choosing all four seniors, there is only one way to do so.

Therefore, the probability of choosing all four seniors is:

Probability = (Number of ways to choose all four seniors) / (Total number of ways to choose four students)

Probability = 1 / 210

Approximately, the probability is 0.0048 or 0.48%.

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Answer:

yes because it goes through the origin and has a constant rate is the correct answer hope it helps you :)