To estimate the percentage of defects in a recent manufacturing​ batch, a quality control manager at General Electric selects every 19th refrigerator that comes off the assembly line starting with the seventh until she obtains a sample of 70 refrigerators. What type of sampling is used? (a) Simple random (b) Systematic (c) Cluster (d) Convenience (e) Stratified

Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

The coordinates of point M divides the line segment AB int he ratio 3 : 4 is given by ( 1, 0).

Ratio in which line segment AB divides m : n = 3 : 4

Let us consider the coordinates of A be ( x₁ , y₁ )  = ( 7, -3 )

Let us consider the coordinates of B be ( x₂ , y₂ )  = ( - 7 , 4)

Let us consider the coordinates of M be ( x , y )  

Using the formula of line segment divides in the ration m: n we have,

x = ( mx₂ + nx₁ ) / ( m + n )

y = ( my₂ + ny₁ ) / ( m + n )

Substitute the values we have,

x = ( 3 × (-7) + 4 × 7 ) / ( 3 + 4 )

  = ( -21 + 28 ) / 7

  = 1

y = ( 3 × (4) + 4 × -3 ) / ( 3 + 4 )

  = ( 12 - 12 ) / 7

  = 0

Therefore, the coordinates of point M which partition the line segment AB is equal to ( 1, 0).

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The above question is incomplete, the complete question is:

Find the coordinate of point M that partitions the segment AB in the ratio 3:4,if A (7,-3) and B (-7,4).

Considering the expression of a line, the price of the guitar in 2011 is $354.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line can be calculated using:

m= (y₂ - y₁)÷ (x₂ - x₁)

Substituting the value of the slope m and the value of one of the points, the value of the ordinate to the origin b can be obtained.

Being:

the slope can be calculated as:

m= (300 - 246)÷ (2008 - 2005)

m= 54÷ 3

m= 18

Considering point 2 and the slope m, you obtain:

300= 18×2008 + b

300= 36,144 + b

300- 36,144 = b

-35,844 = b

Finally, the equation of the line is Price= 18×Year - 35,844

Now, you want to know the price of the guitar in 2011. Replacing in the linear equation, you get:

Price= 18×2011 - 35,844

Solving:

Price= 36,198- 35,844

Price= 354

In summary, the price of the guitar by 2011 is $354.

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Answer: 5

Step-by-step explanation:

To solve this, we would have to divide 361.42 by 79.45. This will be:

= 361.42 / 79.45

= 4.549

We can see that 4.549, has 4 significant digits. By the time we round it off to 1 significant number, we would have 5.

Answer:

The expected value of the sum of three numbers chosen out of 10 numbers will be 16.5.

Step-by-step explanation:

Felicia has a stack of 10 cards with number 1,2,3,4,5,6,7,8,9,10

Selecting 3 cards out of 10

10C3 = 120

Now she picks three cards to look at their numbers and sum it up

The possible three numbers are

(1 2 3), (1 3 2), (2 1 3) ,(2 3 1), (3 1 2), (3 2 1) ,(1 2 4), (1 4 2), (2 1 4), (2 4 1),

(4 1 2)│(4 2 1), (1 2 5), (1 5 2)│(2 1 5), (2 5 1) ,(5 1 2), (5 2 1), (1 2 6), (1 6 2), (2 1 6), (2 6 1), (6 1 2) ,(6 2 1) ,(1 2 7), (1 7 2) ,(2 1 7), (2 7 1), (7 1 2), (7 2 1), (1 2 8), (1 8 2), (2 1 8) ,(2 8 1), (8 1 2) ,(8 2 1), (1 2 9), (1 9 2), (2 1 9), (2 9 1), (9 1 2), (9 2 1),

(1 2... …, (6 10 8), (8 6 10), (8 10 6), (10 6 8), (10 8 6), (6 9 10), (6 10 9), (9 6 10),

(9 10 6), (10 6 9), (10 9 6), (7 8 9), (7 9 8), (8 7 9), (8 9 7), (9 7 8), (9 8 7), (7 8 10),

(7 10 8), (8 7 10), (8 10 7), (10 7 8), (10 8 7), (7 9 10), (7 10 9), (9 7 10), (9 10 7),

(10 7 9), (10 9 7) , (8 9 10), (8 10 9), (9 8 10), (9 10 8), (10 8 9), (10 9 8)

Now we sum it all up so minimum sum can be 1+2+3 = 6 andthe maximum can be 8+9+10 = 27

Let S denote the sum of the three numbers that are chosen and P(S=k) denotes its probability

P(S=6)=1/120  

P(S=7)=1/120

P(S=8)=1/60

P(S=9)=1/40

P(S=10)=1/30

P(S=11)=1/24

P(S=12)=7/120

P(S=13)=1/15

P(S=14)=3/40

P(S=15)=1/12

P(S=16)=1/12

P(S=17)=1/12

P(S=18)=1/12

P(S=19)=3/40

P(S=20)=1/15

P(S=21)=7/120

P(S=22)=1/24

P(S=23)=1/30

P(S=24)=1/40

P(S=25)=1/60

P(S=26)=1/120

P(S=27)=1/120

Now adding all the sum in order to get the expected value

∑(K=6 to 27) k*P(S=k) = 33/2 = 16.5

Therefore the expected value of the sum is 16.5.

Given:

The radius of cylinder is r = 2 yd.

The height of cylinder is h = 7.

Explanation:

The formula for the surface area of cylinder is,

Substitute the values in the formula to determine the surface area.

Answer: 113.04

Answer:

Step-by-step explanation:

Answer:

Is Mary a guy?  :|  

Step-by-step explanation:

I did this by just a good guess  , not really the right way

2000*.45=900  ( 900 is the old savings)

2000*.2 =400   ( how much her salary went down by )

2000-400=1600 ( new salary )

1600*.45 = 720    ( 45% of new salary is new savings

900-720=180      ( change in savings is 180 , the amount the question asks for)

Mary's old salary was 2,000

The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

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

Given:

A composed figure of a rectangle, semicircle and another semicircle removed.

To find:

The area of the given figure.

Solution:

From the given figure it is clear that the diameter of semicircle and removed semicircle are same, i.e. 8 cm.

Since the diameter of semicircle are equal, therefore their area is also equal.

The area of the given figure is:

A = Area of the rectangle - Area of removed semi circle + Area of semicircle

A = Area of the rectangle - Area of semicircle + Area of semicircle

A = Area of the rectangle

We know that, the area of a rectangle is

\(A=length\times width\)

The length of the rectangle is 14 units and width is 8 units. So, the area of composed figure is

\(A=14\times 8\)

\(A=112\)

Therefore, the area of the combined figure is 112 sq. units.

Answer:

-8

2

12

52

Step-by-step explanation:

y = 10x + 2

x = -1, y = 10(-1) + 2 = -8

x - 0, y = 0 + 2 = 2

x = 1, y = 10 + 2 = 12

x = 5, y = 10*5 + 2 = 52

Answer:

B

Step-by-step explanation:

Answer:

128° because its vertical with ∠1

I think, but I'm not sure.

Answer:

A=a2=192=361in²

Step-by-step explanation:

Answer:

7.3 units

Step-by-step explanation:

We have points

(2,-2) and (-5,-4)

x1- 2 , y1- -2, x2- -5 and y2- -4

d =√(x2-x1)2 + (y2-y1)

=√(-5-2)2 +(-4--2)2

=√(-7)2 + (-2)2

=√49+4

=√53

=7.3 units

Answer:

50 dress sandals

Step-by-step explanation:

Let D = number of dress sandals and C = number of casual sandals

Customers bought twice as many casual sandals as dress sandals. In algebraic form this would be

S = 2D  (number of casual sandals = 2 times number of dress sandals)

Since casual sandals sell for $12 each and dress sandals for $22 each, the total sales for S casual and D dress sandals

= 12S + 22D = 2300 (given)

Substitute S = 2D into the above equation to get
12 (2D) + 22D = 2300

24D + 22D = 2300

46D = 2300
D = 2300/46 = 0

Answer: Customers bought 50 dress sandals

Step-by-step explanation:

the ratio senior to adult tickets on the first night :

45/92

the ratio on the second night :

26/45

which ratio is higher ? that means we have to determine which fraction is bigger.

the simplest and fastest way to compare them is to bring them to the same denominator (bottom part).

and the simplest way to do that is simply by multiplying the numerator and denominator of each fraction by the denominator of the other fraction :

45/92 × 45/45 = 2025 / 4140

26/45 × 92/92 = 2392 / 4140 (this is therefore bigger)

so, the ratio on the second night is higher.

Answer:

2nd answer

Step-by-step explanation:

Answer:it is 2

Step-by-step explanation:

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

5) P (arrive) + P (not arrive) = 100%   Complements

80% + P( not arrive) = 100%    Substitute thr ralees

P ( not arraive) = 100% - 80%   Isolate the needed

P ( not arrive) = 20%

therefor, the probability of not arriving on time is:-

20%, or 0.20, or 1/5

The complements of arriving on time is not arriving on time.

The probability is equal to 100%

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

hope it helps..

have a great day!

Answer:

1+√6+i(√3+√2)

3

Step-by-step explanation:

i will start from multiplying the numerator and denominator by the conjugate

(1+√3 i)(1+√2 i)

(1-√2 i)(1+√2 i)-----> 1²-(√2 i)²

open brackets

1+√3i+√2i+√6i²

1-2i²

i²= -1

1+i(√3+√2)+√6(-1)

1-2(-1)

1+√6+i(√3+√2)

3

quick clarification

\(\cfrac{1+\sqrt{3}i}{1-\sqrt{2}i}\cdot \cfrac{1+\sqrt{2}i}{1+\sqrt{2}i}\implies \cfrac{(1+\sqrt{3}i)(1+\sqrt{2}i)}{\underset{\textit{difference of squares}}{1^2-(\sqrt{2}i)^2}}\implies \cfrac{1+\sqrt{2}i+\sqrt{3}i+\sqrt{6}i^2}{1-[2i^2]} \\\\\\ \cfrac{1+\sqrt{2}i+\sqrt{3}i+\sqrt{6}(-1)}{1-[2(-1)]}\implies \cfrac{1-\sqrt{6}+i(\sqrt{2}+\sqrt{3})}{3}\)

Answer: Nonlinear

Step-by-step explanation: Whenever a function has an exponent, it is usually a non-linear function.

Answer:

A is the correct answer that you will get

Step-by-step explanation:

1. C = the graphing is slowly increasing, then he walks across the top so it is flat

2. D = it started out slow and gradually got higher, which is what the story said

3. H = he had to stop walking, and there is a part of no movement in the graph H

4.

Answer:

52.63% probability that thids intial repair was made by the first technican

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

\(P(B|A) = \frac{P(B)*P(A|B)}{P(A)}\)

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Incomplete repair

Event B: Made by the first technican.

The first technican, who services 40% of the breakdowns, has 5% chance of making incomplete repair.

This means that \(P(B) = 0.4, P(A|B) = 0.05\).

Probability of an incomplete repair:

5% of 40%(first technican) or 3% of 60%(second technican). So

\(P(A) = 0.05*0.4 + 0.03*0.6 = 0.038\)

Given that there is a problem with the production line due to an incomplete repair, what is the probability that thids intial repair was made by the first technican

\(P(B|A) = \frac{0.4*0.05}{0.038} = 0.5263\)

52.63% probability that thids intial repair was made by the first technican

Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

Answer:

130

Step-by-step explanation:

(x - 129) * 129 = 129

x - 129 = 129/129

x - 129 = 1

x = 129 + 1

x = 130

Answer:

x could equal 130 but I'm not sure about this one

Step-by-step explanation:

you take 130-129 which equal 1 then times 1 by 129 and it equals 129... again sorry if it's not right because I'm not entirely sure how to do this I'm pretty sure I did it correct though

D. 132º

1) Given that in this circle crossed by two secant lines we can state the following Theorem:

2) then we can write:

So the measure of the arc CE = 132º (D)

The inequality value that would be able to show/x/ ≤ 5 is option A

In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.

The symbol that we have  is telling us that the value of the x would be less than  or it would be seen to be equal to five.

We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A

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