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33. In 2009, DuPont Automotive reported that 18% of cars in North America were white in color. We are interested in the proportion of white cars in a random sample of 400 cars. Find the z-score that r

Answer:

the answer is 8.26

Step-by-step explanation:

your welcome <33

e = 0.33

So, the margin of error (e) is 0.33. To compute the margin of error (e) for the given confidence interval for a population mean, we need to use the formula:

e = (upper limit of the interval - lower limit of the interval) / 2

Plugging in the given values, we get:

e = (17.71 - 17.05) / 2

e = 0.66 / 2

e = 0.33

Therefore, the margin of error (e) for the given confidence interval is 0.33.
Hi! Based on the given confidence interval for the population mean (μ), which is 17.05 < μ < 17.71, you can compute the margin of error (e) by finding the difference between the upper limit and the lower limit, and then dividing that by 2.

Here's the calculation:

e = (Upper Limit - Lower Limit) / 2
e = (17.71 - 17.05) / 2
e = 0.66 / 2
e = 0.33

So, the margin of error (e) is 0.33.

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Answer:

I think that

a = 3

b=2

c=1

Step-by-step explanation:

Because of the chart saying 0, 1, 2, 3

well, let's keep in mind that the SAS postulate, so if one Side and the Angle next to it and the following Side after the angle are equal on both triangles, both triangles are congruent.  Now, we have the angle 30° with sides and 9 and 2x and sides 9 and x + 4, well, the 9's are equal, dohh, you know, if only the 2x  = x + 4, we'd be golden

\(2x = x + 4\implies 2x - x = 4\implies \boxed{x = 4}\)

Answer:

D. x^2-x-9-12/x-2

Step-by-step explanation:

We can use synthetic division to divide (x^3 - 3x^2 - 7x + 6) by (x - 2). First, we set up the division as follows:

    2 |   1   -3   -7    6

       |______2___-2__-18

       | 1   -1   -9  -12

The numbers on the bottom row of the synthetic division table represent the coefficients of the quotient polynomial. Therefore, the quotient is x^2 - x - 9, and the remainder is -12.

So, we have:

(x^3 - 3x^2 - 7x + 6) / (x - 2) = x^2 - x - 9 + (-12 / x - 2)

Therefore, the correct option is D: x^2 - x - 9 - 12/(x - 2).

In conclusion, the calculations below proves that since points B, C, H, I lie on a single circle, then O lies on this circle too.

The inscribed angle theorem states that the measure of an inscribed angle whose vertex lies on a circle is half of the intercepted arc subtended at a point on the circle.

Note: The point of concurrency of three altitudes in a triangle is referred to as orthocenter.

In triangle ABC, O is orthocenter. Thus, by applying the inscribed angle theorem to the circle, we have:

∠BOA = 2∠BAC.                ......equation 1.

Assuming H is orthocenter; Thus, the angle formed by angles BAC and BC at H are supplementary angles:

∠BAC + BHC = 180°.

BHC = 180° - ∠BAC.     ......equation 2.

Assuming I is incenter; Thus, the angle formed by BIC is given by:

∠BIC = 90° + ∠A/2.          ......equation 3.

Since points B, C, H, I lie on a single circle and the angles formed in the same side of an arc of a circle are equal, we have:

BIC = BHC                      ......equation 4.

Substituting the parameters into eqn. 4, we have;

180° - ∠BAC = 90° + ∠A/2.

∠BAC + ∠BAC/2 - 3∠BAC/2 = 180° - 90°

∠BAC = 90° × 2/3

∠BAC = 60°.

From eqn. 1, we have:

∠BOA = 2∠BAC.

∠BOA = 2 × 60

∠BOA = 120°.

In conclusion, this proves that since points B, C, H, I lie on a single circle, then O lies on this circle too.

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False.

If A is a 5×4 matrix and B is a 4×3 matrix, then the entry of AB in the 3rd row / 2nd column is obtained by multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.

If A is a 5×4 matrix and B is a 4×3 matrix, then the entry of AB in the 3rd row / 2nd column is obtained by multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.

To see why, let C = AB be the product of A and B. Then, by definition, the entry in the i-th row and j-th column of C is given by the dot product of the i-th row of A and the j-th column of B. That is, Cij = Ai1B1j + Ai2B2j + ... + Ai4B4j, where Ai1, Ai2, ..., Ai4 are the entries in the i-th row of A and B1j, B2j, ..., B4j are the entries in the j-th column of B.

So, in this case, the entry in the 3rd row / 2nd column of C is given by C32 = A31B12 + A32B22 + A33B32 + A34B42. This involves multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.

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the answers are 8 and -8

A:

5=2+3

-> right triangle

B:

5=4+3

-> not a right triangle

C.

36= 25+16

36= 41

-> not a right triangle

D.

49= 25+25

49=50

-> not a right triangle

E.

100= 36+ 64

100= 100

-> right triangle

a. The probability of exactly two flaws in a 50-yard piece of material is approximately 0.2707.

b. The probability of no more than two flaws in a 50-yard piece of material is approximately 0.6767.

c. The probability of no flaws in a 25-yard piece of material is approximately 0.3679.

To find the probability of exactly two flaws in a 50-yard piece of material, we can use the Poisson distribution. Let λ be the average number of flaws per 50 yards of material, which is 2. Then, the probability of exactly k flaws occurring in a 50-yard piece of material is given by

P(k flaws) = (e^(-λ) × λ^k) / k!

So, for k=2, we have

P(2 flaws) = (e^(-2) × 2^2) / 2! ≈ 0.2707

Therefore, the probability of exactly two flaws in a 50-yard piece of material is approximately 0.2707.

b. To find the probability of no more than two flaws in a 50-yard piece of material, we need to sum the probabilities of having 0, 1, or 2 flaws. So, we have

P(no more than 2 flaws) = P(0 flaws) + P(1 flaw) + P(2 flaws)

We already know P(2 flaws) from part (a). To find P(1 flaw), we can use the same formula as before with λ=2 and k=1

P(1 flaw) = (e^(-2) × 2^1) / 1! ≈ 0.2707

To find P(0 flaws), we use the same formula with λ=2 and k=0

P(0 flaws) = (e^(-2) × 2^0) / 0! ≈ 0.1353

Therefore, we have:

P(no more than 2 flaws) = 0.2707 + 0.2707 + 0.1353 ≈ 0.6767

So, the probability of no more than two flaws in a 50-yard piece of material is approximately 0.6767.

c. To find the probability of no flaws in a 25-yard piece of material, we can again use the Poisson distribution, but with a different value of λ. Since the average number of flaws per 50 yards is 2, the average number of flaws per 25 yards is 1. So, we have:

P(0 flaws) = (e^(-1) × 1^0) / 0! ≈ 0.3679

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Answer:

the scale factor from triangle ABC to triangle DEF would be 8

Step-by-step explanation:

the triangle DEF was actually flipped from triangle ABC

1.line AB corresponds to line EF

AB = 6 , and EF = 48

we multiply 6 by "8" to get to 48

2.line BC corresponds to line ED

BC = 6 , and ED = 48

we multiply 6 by "8" to get to 48

3.line AC corresponds to line FD

AC = 6 , and FD = 48

we multiply 4 by "8" to get to 32

I hope this help

The greatest common factors of the triplets of natural numbers are:

Case 1: G.C.F. = 8

Case 2: G.C.F. = 14

Case 3: G.C.F. = 9

Case 4: G.C.F = 2⁴

Case 5: G.C.F. = 16

Case 6: G.C.F. = 4

Case 7: G.C.F. = 15

Case 8: G.C.F. = 1

Case 9: G.C.F. = 3

Case 10: G.C.F. = 10

Case 11: G.C.F. = 2

Case 12: G.C.F. = 1

Case 13: G.C.F. = 4

Case 14: G.C.F. = 6

Case 15: G.C.F. = 4

Case 16: G.C.F. = 8

Natural numbers can be classified into two groups: (i) Prime numbers, (ii) Composite numbers. Composite numbers are products of prime numbers. Greatest common factors are the greatest common natural number that can divide a group on number.

The process to determine the greatest common factor is shown below:

Case 1

80 = 2⁴ × 5

64 = 2⁶

56 = 2³ × 7

G.C.F. = 2³

G.C.F. = 8

Case 2

56 = 2³ × 7

84 = 2² × 3 × 7

14 = 2 × 7

G.C.F. = 2 × 7

G.C.F. = 14

Case 3

45 = 3² × 5

54 = 2 × 3³

81 = 3⁴

G.C.F. = 3²

G.C.F. = 9

Case 4

64 = 2⁶

16 = 2⁴

32 = 2⁵

G.C.F = 2⁴

Case 5

48 = 3 × 2⁴

64 = 2⁶

96 = 2⁵ × 3

G.C.F. = 2⁴

G.C.F. = 16

Case 6

28 = 2² × 7

48 = 2⁴

96 = 2⁵ × 3

G.C.F. = 2²

G.C.F. = 4

Case 7

90 = 2 × 3² × 5

75 = 3 × 5²

45 = 3² × 5

G.C.F. = 3 × 5

G.C.F. = 15

Case 8

70 = 2 × 5 × 7

54 = 2 × 3²

95 = 5 × 19

G.C.F. = 1

Case 9

33 = 3 × 11

6 = 2 × 3

84 = 2² × 3 × 7

G.C.F. = 3

Case 10

30 = 2 × 3 × 5

90 = 2 × 3² × 5

70 = 2 × 5 × 7

G.C.F. = 2 × 5

G.C.F. = 10

Case 11

100 = 2² × 5²

30 = 2 × 3 × 5

2 = 2

G.C.F. = 2

Case 12

92 = 2² × 23

67 = 67

41 = 41

G.C.F. = 1

Case 13

92 = 2² × 23

16 = 2⁴

20 = 2² × 5

G.C.F. = 2²

G.C.F. = 4

Case 14

54 = 2 × 3³

60 = 2² × 3 × 5

72 = 2³ × 3²

G.C.F. = 2 × 3

G.C.F. = 6

Case 15

12 = 2² × 3

72 = 2³ × 3²

80 = 2⁵ × 5

G.C.F. = 2²

G.C.F. = 4

Case 16

80 = 2⁴ × 5

24 = 2³ × 3

48 = 2⁴ × 3

G.C.F. = 2³

G.C.F. = 8

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Answer: 15 + 9 = 24

Step-by-step explanation: I speak Japanese btw and English.

Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

Not performing qualitative tests in duplicate can introduce certain risks and potential issues:

False positives: Without duplicate testing, there is a higher risk of obtaining false positive results. False positives occur when a test incorrectly indicates the presence of a particular characteristic or condition. Duplicate testing helps verify the accuracy and reliability of the results, reducing the chances of false positives.

False negatives: Similarly, not performing qualitative tests in duplicate increases the risk of false negatives. False negatives occur when a test fails to detect a characteristic or condition that is actually present. Duplicate testing provides an additional opportunity to identify any missed detections and reduces the likelihood of false negatives.

Variability and uncertainty: Qualitative tests can be subject to variability due to factors such as sample preparation, test conditions, or interpretation. Duplicate testing helps assess the consistency and reproducibility of the results, providing a measure of confidence and reducing uncertainty.

Quality control issues: Duplicate testing is an essential component of quality control protocols. It helps ensure the reliability and accuracy of the testing process and minimizes the potential for errors or inconsistencies. Not performing duplicate tests can compromise the overall quality control procedures, leading to compromised data and unreliable conclusions.

Validation and reproducibility: Duplicate testing is often required for validation purposes and to demonstrate the reproducibility of results. It helps establish the robustness and reliability of the testing method. Without duplicate testing, it becomes more challenging to validate and reproduce the results, which can undermine the credibility of the findings.

In summary, not performing qualitative tests in duplicate increases the risks of false positives, false negatives, variability, uncertainty, quality control issues, and challenges in validation and reproducibility. Duplicate testing plays a crucial role in ensuring the accuracy, reliability, and validity of qualitative test results.

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Answer:

below

Step-by-step explanation:

The SUM of a n-gon 's interior angles formula is :

  SUM = ( n-2) * 180       n = 7 for this figure ( 7 angles)

    (7-2) * 180  = 900 degrees    

  EACH angle in this REGULAR polygon is then 900 / 7 = 128.57°

Answer:

English people often say: 'A dog is a man's

best friend', and I agree.

I live with my parents on a farm in the country It is a long way from my school, and I haven't got any

brothers or sisters, so I am often alone.

My dog, Bella, is like a best friend to me. When I am at home, she

is with me all the time.She follows me arond the house, and she sleeps next to my bed at night. Bella always wakes up early in the

morning. She has lots of energy and she likes to play. We usually get

up at 6 a.m. and walk in the fields behind my house.

Of course, Bella doesn't talk to me, but she always looks at me

and concentrates when I talk to her. I think she knows when I am happy and when I am sąd. She always knows how

to make me feel better.

When I come home from school, I sit at my desk and do my

homework."

Bella usually relaxes under the desk. When I finish, she jumps up and we go

out again.English people often say:A dog is man's best friend, and I agree. I live

Answer:

B)129.1

Step-by-step explanation:

see the graph of cos

Step-by-step explanation:

Given

1/2 ( 6a + 8)

Taking common

= 1/2 * 2( 3a + 4)

= 3a + 4

Hope it will help you :)❤

Answer:

3a+4

Step-by-step explanation:

Simplify  1/2

Then you should do 1/2*(6a+8)

Then you pull out the like terms

  6a + 8  =   2* (3a + 4)

Answer:

 3a + 4

The value of n in the given equation, 5⁸ = 5ⁿ · 5⁴, is 4

From the question, we are to determine the value of n in the given equation.

From the given information,

The given equation is

5⁸ = 5ⁿ · 5⁴

This can be written as

5⁸ = 5ⁿ × 5⁴

By applying the multiplication law of indices, we get

5⁸ = 5ⁿ ⁺ ⁴

Since the bases are equal, we can equate the powers

8 = n + 4

Now,

Solve the linear equation for n

8 = n + 4

Subtract 4 from both sides of the equation

8 - 4 = n + 4 - 4

4 = n

Therefore,

n = 4

Hence, the value of n is 4

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Answer:

(3/5)× 100

0.6 ×100= 60%

yw

Answer:

False

Step-by-step explanation:

\(\frac{1}{6}\)÷6 = \(\frac{1}{6}\)×\(\frac{1}{6}\)

Answer:

Pretty sure it's no correlation

Step-by-step explanation:

The reason I say this is because the last point goes lower then the 3rd point, showing a arch, meaning there is no correlation

From the given condition m ∠LOM = m ∠JKI, m ∠MON = m ∠IKH it is proved that m ∠LON = m ∠HKJ as they are congruent angles.

Congruent angles are defined as angles with equal measure. According to the question,

m ∠LOM = m ∠JKI  (given congruent angles)   _____(1)

m ∠MON = m ∠IKH  (given congruent angles)  _______(2)

Add both the side angle  m ∠MON in (1) we get m ∠LOM + m ∠MON = m ∠JKI + m ∠MON

Replace angle  m ∠MON = m ∠IKH from (2)  on right-hand side we get,

m ∠LOM + m ∠MON = m ∠JKI + m ∠IKH  ____(3)

m ∠LOM + m ∠MON = m ∠LON  ( M is the interior point of ∠LON)  ___(4)

m ∠JKI + m ∠IKH = m ∠HKJ  ( I is the interior point of ∠HKJ)  ___(5)

Form (3), (4), and (5) we get, m ∠LON = m ∠HKJ  (Congruent angles)

Hence, from the given condition it is proved that m ∠LON = m ∠HKJ, are congruent angles.

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Answer:

A

Step-by-step explanation:

V = pie x r*2 x h

Step-by-step explanation:

please mark me as brainlest

Answer: x = -0.3

Step-by-step explanation:

Given expression

1 - 3 (9x + 3) = 3x + 1

Expand parentheses and apply the distributive property

1 - 27x - 9 = 3x + 1

Combine like terms

(1 - 9) - 27x = 3x + 1

-8 - 27x = 3x + 1

Subtract 3x on both sides

-8 - 27x - 3x = 3x + 1 - 3x

-8 - 30x = 1

Add 8 on both sides

-8 - 30x + 8 = 1 + 8

-30x = 9

Divide - 30 on both sides

(-30)x / (-30) = 9 / (-30)

(-30)x / (-30) = 3 / (-10)

\(\boxed{x=-0.3}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

-4 and 13.

Step-by-step explanation:

I found this by finding the factors of 52- 1, 2, 4, 13, 26, and 52. You can then look at those and see how they interact. I knew that you had to multiply with a negative to get a negative product and that you can't get 9 by adding any two of those factors, so I started seeing how I could subtract to make 9. Once I found that I could take 4 from 13 and get 9 I checked the multiplication for -4 * 13 and it all worked out.

Answer:

I  know the x and y are 5 and 11 but I wanted to see if I could algebraically solve it, and found I couldn't.

In x+y=16, I know x=16/y but when I plug it back in I get something like 16/y+y=16, then I multiply the left side by 16 to get 2y=256 and then ultimately y=128. Am I doing something wrong?

Step-by-step explanation:

i don't have an answer to your specific request, but this example can help you fortunatly i was doing a problem about that type of question.

Answer:

11² = 121

Step-by-step explanation:

When you divide powers with the same base, subtract the exponents.

\( \dfrac{11^6}{11^4} = 11^{6 - 4} = 11^2 = 121 \)

Answer:

121

Step-by-step explanation:

11 to the 6 power = 1771561

11 to the 4 power = 14641

1771561/14641 = 121