Suppose that a computer chip company has just shipped 10 comma 000 computer chips to a computer company.​ Unfortunately, 40 of the chips are defective. ​(a) Compute the probability that two randomly selected chips are defective using conditional probability. ​(b) The probability that the first randomly selected chip is defective is StartFraction 40 Over 10 comma 000 EndFraction equals 0.004 equals 0.4 % . Compute the probability that two randomly selected chips are defective under the assumption of independent events. ​(a) The probability is nothing.

Answer:

it is 2 spaces away. a positive number from zero would be +2 and a negative number would be -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know the the total of angles for a triangle is 180 degrees.

So in this case we'd want to set up adding all of our angles and setting them equal to 180

17 + 126 + b = 180

then solve for b

143 + b = 180

b = 37 degrees

So the answer would be 37 degrees for angle b

Step-by-step explanation:

If ∠1 and ∠2 are supplementary, then m∠1 + m∠2 = 180° (1).

If ∠2 and ∠3 are supplementary, then m∠2 + m∠3 = 180° (2).

From (1) we have

m∠1 + m∠2 = 180°           /subtract m∠1 from both sides

m∠2 = 180° - m∠1

substitute it to (2)

(180° - m∠1) + m∠3 = 180°

180° - m∠1 + m∠3 = 180°     /subtract 180° from both sides

- m∠1 + m∠3 = 0        /add m∠1 to both sides

m∠3 = m∠1 ⇒ m∠1 = m∠3 ⇒ ∠1 ≅ ∠3

Answer:

1i : 0

1ii : 1

1iii : -1

1iv : 1

1v : 1

2i : -1

2ii : -13

2iii : -29

3i : -9

3ii : 3

3iii : 0

3iv : 1

4i : 8

4ii : 4

4iii : 0

5i : -3

5ii : 2

5iii : 0

5iv : 2

6i : -39

6ii : 15

6iii : 0

6iv : answering only the circled part : 12

7i : 10

7ii : -6

7iii : 11

7iv : 22

7v : -8

8i : 1000

8ii : -180

9 : -5

10 : 38

Answer:

1. (i) m - 2 = 2 - 2 = 0

1. (i) 3m - 5 = 3(2) - 5 = 6 - 5 = 1

1. (ii) 9 - 5m = 9 - 5(2) = 9 - 10 = – 1

1. (iii) 3m² - 2m - 7 = 3(2)² - 2(2) - 7 = 3(4) - 4 - 7 = 12 - 11 = 1

\(1.(iv) \: \frac{5m}{2} - 4 = \frac{5(2)}{2} - 4 = \frac{10}{2} - 4 = 5 - 4 = 1\)

__o__o__

2. (i) 4p +7 = 4(-2) + 7 = -8+7= – 1

2. (ii) -3p² + 4p+7 = -3(-2)² + 4(-2) + 7 = -3(4) -8+7 = -12-8+7 = -20 +7 = – 13

2. (iii) -2p³-3p²+4p+7 = -2(-2)³ - 3(-2)² +4(-2) +7 = -2(-8) -3(4) -8 = 16-12-8=16-20= – 4

__o__o__

3. (i) 2x -7 =2(-1)-7= - 2 -7 = – 9

3. (ii) -x+2 = -(-1)+2= 1+2 =3

3. (iii) x²+2x+1 = (-1)²+2(-1)+1 =1 -2+1=2-2=0

3. (iv) 2x²-x-2= 2(-1)²-(-1)-2=2+1-2= 1

__o__o__

4. (i) a²+b² = (2)²+(-2)² =4+4= 8

4. (ii) a²+ab+b² = (2)²+(2)(-2)+(2)²= 4 -4+4= 4

4. (iii) a²-b² = (2)² - (-2)² = 4 - 4 = 0

__o__o__

5. (i) 2a+2b = 2(0)+2(-1) = 0-2 = - 2

5. (ii) 2a² +b²+1 = 2(0)² + (-1)² +1 = 0+1+1 = 2

5. (iii) 2a²b+2ab²+ab = 2(0)²(-1) + 2(0)(-1)²+(0)(-1) = 0

5. (iv) a²+ab+2 = (0)²+(0)(-1)+2 = 2

__o__o__

6. (i) x+7+4(x-5) = x + 7 + 4x - 20 = 5x - 13 = 5(2) - 13 = 10 - 13 = - 3

6. (ii) 3(x+2)+5x-7 = 3x +6+5x -7 = 8x -1 = 8(2) -1 = 16 - 1 = 15

6. (iii) 6x+5(x-2) = 6x +5x -10 = 11x - 10 = 11(2)-10 = 22 - 10 = 12

6. (iv) 4(2x-1)+3x+11 = 8x - 4 +3x+11 = 11x + 7 = 11(2)+7 = 22+7 = 29

__o__o__

7. (i) 3x-5-x+9 = 2x + 4 = 2(3) +4 = 6+4=10

7. (ii) 2-8x+4x+4 = – 4x + 6 = - 4(3) +6= - 12+6= – 6

7. (iii) 3a+5-8a+1 = – 5a +6= - 5(-1) +6= 5+6=11

7. (iv) 10 -3b-4-5b = - 8b + 6 = -8(-2)+6= 16 +6 = 22

7. (v) 2a-2b-4-5+a = 3a -2b - 9 = 3(-1) - 2(-2) - 9 = - 3 + 4 -9 = - 12 +4 = – 8

__o__o__

8. (i) z³ - 3 (z-10) = (10)³ - 3(10-10) = 1000 - 3(0) = 1000

8. (ii) p²-2p-100 = (-10)² - 2(-10) -100 = 100 + 20 -100 = 20

__o__o__

9. 2x² +x - a = 5 ==> 2(0)² +(0)- a = 5 ==> 0 - a = 5 ==> -a=5 ==> a = – 5

___o__o__

10. 2(a²+ab)+3-ab ==> 2a² + 2ab +3 - ab ==> 2a² + ab +3 ==> 2(5)²+ (5)(-3) +3 = 2(25)- 15 +3 = 50-15+3 = 53-15 = 38

I hope I helped you^_^

The polygon has 21 sides whose interior angle are in Arithmetic Progression (A.P.)

The interior angles of a polygon are in an arithmetic progression (A.P) if the difference between any two consecutive angles is constant. To find the number of sides in a polygon given its smallest angle and the common difference of its interior angles, we can use the formula:

n = (180° - smallest angle) / common difference + 1, where n is the number of sides in the polygon.

In this case, the smallest angle is 100° and the common difference is 4°, so the number of sides can be calculated as follows:

n = (180° - 100°) / 4° + 1 = (80°) / 4° + 1 = 20 + 1 = 21.

Therefore, the polygon has 21 sides. It is important to note that a polygon with 21 sides is called an icosikaihenagon, which is a highly unusual and exotic shape, as most polygons have a smaller number of sides.

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Answer:0.12

Step-by-step explanation:

Answer: 0.12.

explanation? sure.

first you get your quoitent then round it

(0.12179487179)

0.12.

there- (　o=^•ェ•)o　┏━┓

The equation of the circle in the standard form is (x - 2)²+(y + 2)² = 34.

The fundamental form of an equation is the linear equation in standard form. Below is shown the standard form of a linear equation with two variables and more than two variables.

Here, a, b, (A)1, (A)2, (A)3,........ (A)n are referred to as the coefficients, and x, y, or (x)1, (x)2, (x)3,.... represent the variables. Constants are the numbers that appear after the equals to sign.

ax + by = c

A quadratic equation's standard form is a second-degree equation with a variable, coefficients, and constant term. X is a single variable of degree 2 in this situation. A quadratic equation has the following standard form.

ax² + bx + c = 0

We have given that:

\($\left(x-x_0\right)^2+\left(y-y_0\right)^2=r^2$\)

Lets solve

\($P_0(2,-1)$\)

\($d^2=10^2+6^2$\)

\($r=\frac{d}{2}=5.831$\)

\($r^2=34$\)

\($(x-2)^2+(y+1)^2=34$\)

Thus, the equation of the circle in the standard form is (x - 2)²+(y + 2)² = 34.

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Answer:

If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles

The possible number of 3 -letter words that can be formed with given conditions.

(a) No condition is imposed: 343

(b) No letter can be repeated in a word: 210

(c) Each word must begin with the letter 'a' : 49  

(d) The letter 'c' must be at the end: 49

(e) The second letter must be a vowel: 98

In this question we have been given that 3 -letter words' are formed using the letters a, b, c, d, e, f, g.

We need to find the possible number of 3 -letter words that can be formed with given conditions.

(a) No condition is imposed.

the possible number of 3 letters words would be,

7³ = 343

(b) No letter can be repeated in a word.

Using the formula of Permutation,

^{7}P_3 = 7!/(7 - 3)!

             = 210    

(c) Each word must begin with the letter a.  

If each word begins with letter 'a' there would be possible combinations of remaining 6 letters at 2nd and 3rd position of 3-letter word.

So, the possible number of 3 letters words would be,

7² = 49  

(d) The letter c must be at the end.

If each word ends with letter c there would be possible combinations of remaining 6 letters at 1st and 2nd position of 3-letter word.

So, the possible number of 3 letters words would be,

7² = 49  

(e) The second letter must be a vowel.

In the 3 letter word, the second letter must be vowel which is either a or e.

So, the possible number of 3 letters words would be,

49 + 49 = 98

Therefore, the possible number of words would be (a) No condition is imposed: 343

(b) No letter can be repeated in a word: 210

(c) Each word must begin with the letter 'a' : 49  

(d) The letter 'c' must be at the end: 49

(e) The second letter must be a vowel: 98

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The complete question is:

3 -letter words'' are formed using the letters a, b, c, d, e, f, g. How many such words are possible for each of the following conditions?

(a) No condition is imposed.

(b) No letter can be repeated in a word.

(c) Each word must begin with the letter a.

(d) The letter c must be at the end.

(e) The second letter must be a vowel.

If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

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The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

Given:

Radius (r) = 20 inches

Height (h) = 0.7 feet

First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:

Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches

Now, we can substitute the values into the volume formula:

Volume = π * (20 inches)^2 * 8.4 inches

Calculating the volume:

Volume = 3.14159 * (20 inches)^2 * 8.4 inches

≈ 3.14159 * 400 inches^2 * 8.4 inches

≈ 1005.3096 cubic inches

Rounding the volume to the nearest tenth:

Volume ≈ 1005.3 cubic inches

Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

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Complete question is attached;

Answer:

Option D: 0.3069

Step-by-step explanation:

Formula for coefficient of variation on the company's stock is;

CV = σ/E(r)

Where σ is the standard deviation and E(r) is expected value of return.

From the attached image, we can find E(r) as;

E(r) = 0.45(25) + 0.5(15) + 0.05(5)

E(r) = 19%

From online calculation, the standard deviation is 5.83%

Thus;

CV = 5.831/19

CV ≈ 0.3069

That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.

How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.

An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.

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gg

Step-by-step explanation:

the answer to the equation is x=15

The probability that at most 195 of those purchases are paid with a credit or debit card i.e P(X ≤ 195 ) is 0.9625..

We have given that,

Sample size , n=250

Sample proportion, p= 73.2% = 0.732

np = 183

n(1-p) = 67

both np & n(1-p) values are greater than 5, So normal approximation is applicable

mean, µ = np = 183

std. dev, σ = √np(1-p) =√250×0.732 ×(1-0.732) =7.0031

we have to calculate probability that at most 195 of those purchases are paid with a credit or debit card i.e P(X ≤ 195 )

= P( X < 195.5 )

= P((x - µ) / σ < (195.5 -183)/ 7.0031)

= P( Z < 1.78 )

= 0.9625

Required probability using Excel function ,

Excel command: =NORM.S.DIST(z,1)

= Norm.S.DIST(1.78,1)

= 0.9625

Hence, required probability is 0.9625..

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The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Null hypothesis: The mean number of points scored by the taller team is not significantly different from the population mean of 72.

Alternative hypothesis: The mean number of points scored by the taller team is significantly greater than the population mean of 72.

Since the population variance is unknown, we will use a t-test. The degrees of freedom for this test will be 9 (n-1), where n is the sample size of the taller team (10).

Using an alpha level of 0.05 and 9 degrees of freedom, the critical t-value is 1.833.

To calculate the test statistic, we first need to find the sample mean and standard deviation of the taller team's scores. The sample mean is 82, and the sample standard deviation is 9.89. Using these values, we can calculate the t-value:

t = (82-72) / (9.89 / sqrt(10)) = 3.19

Since the calculated t-value (3.19) is greater than the critical t-value (1.833), we reject the null hypothesis and conclude that there is a significant difference between the mean number of points scored by the taller team and the population mean of 72. The coach can therefore conclude that having a taller team does result in a greater number of points scored.

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The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

Therefore, let's rewrite the expression to it's equivalent expression.

An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.

Therefore, using indices rule

\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)

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The coordinate of the point after transformation is: (3, -4)

The coordinate initially is given as (0, -4).

Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:

(0 - 1, -4)

= (-1, -4)

Moving by 4 units to the right means an addition of 4 units to x coordinate to get:

(-1 + 4, -4)

= (3, -4)

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Answer:

Number of 10 cents = 18

Number of  20 cents = 10

Step-by-step explanation:

Let number of 10 cents be = x

Let number 20 cents be = y

Total number of coins = x + y = 28  -------- ( 1 )

Total amount in the box = 0.10 x + 0.20y = 3.80 ---------- ( 2 )

Solve the equations to find x and y

( 1 ) => x + y = 28

         x = 28 - y

Substitute x in ( 2 )

( 2 ) => 0.10(28 - y) + 0.20y = 3.80

          2.80 - 0.10y + 0.20y = 3.80

            0.10 y = 3.80 - 2.80

            0.10 y = 1.00

                \(y = \frac{1}{0.10} = 10\)

                y = 10

Substitute y in ( 1 ) => x + y = 28

                                x + 10 = 28

                                x = 28 - 10

                                x = 18

Answer:

Even

Step-by-step explanation:

When two even numbers are added there will be an even result. To check this adding 2156 and 992 gets 3148 which is an even number.

Answer:

21/32 gal

Step-by-step explanation:

1 gallon equals 16 cups, so we first need to convert the rate from cups to gallons

1.5cup/1 x 1/16 gal

can be simplified to 3/32 gal

so we now multiply this rate by 7 for a week

so in total it leaks

3/32 x 7/1 = 21/32

Using simple Subtraction, following is the required data.

point A always begins at 45 and point B at 69,

b) If A moves 2 units to the right, and B moves 2 units to the left, the points will be 20 units apart. (47 - 67)

c) If A moves 2 units to the left, and B moves 2 units to the right, the points will be 28 units apart. (43 - 71)

D) If A moves 10 units to the right, and B moves 10 units to the left, the points will be 4 units apart. (59 - 55)

e) If A moves 12 units to the right, and B moves 12 units to the left, the points will be 0 units apart.

f) A moved units to the left, B moved the same number of units to the right, and the points became 48 units apart.​

We frequently employ subtraction in our daily lives. Subtraction is used, for instance, to determine how much money was spent on the products we purchased, how much money is still in our possession, or how much time is left to complete a task.

Subtraction can be applied in a variety of real-world situations.

Assume you had five apples and your friend had three. The number of remaining apples may be determined by subtracting: 5 - 3 = 2. Therefore, you are left with 2 apples. Similar to the previous example, if a class has 16 students, 9 of them are girls, we can determine the number of boys in the class by deducting 9 from 16. (16 - 9 = 7). There are 7 lads in the class, as far as we know.

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Answer:

y=-1/4x+5/4

Step-by-step explanation:

M is equal to the X in the middle of the equation. B is equal to the Y Intercept. Hope this helps! If you're still having trouble understanding this, I would look up "Slope Intercept Equations" on (Y o u t u b e) and watch a video about it.

Answer:

-3, -2 and -1

Step-by-step explanation:

Given the inequality -3(1-z)<9

Expand

-3(1)-3z <9

-3-3z <9

Add 3 to both sides

-3-3z+3<9+3

-3z<12

Divide both sides by -3

-3z/-3 >12/-3

z > -4

The required solutions are values greater than -4 and they are -3, -2 and -1

Answer:

answers b is is correct ......