Your manufacturing plant produces air bags, and it is known that 20% of them are defective. Five air bags are tested. (a) Find the probability that two of them are defective. (Round your answer to four decimal places.)

a) The perimeter of question a's shape is 18 units.

b) The answer to question b is 28 ft.

Answer:

-3

Step-by-step explanation:

-3 is the slope y=mx + b m is -3

Answer:

m= -3

Step-by-step explanation:

[tex]y = - 3x + 4\\y = \:mx+b\\where \:m\:is\:slope[/tex]

Answer:

21 C

22 B

23 169

Step-by-step explanation:

21 3m mean 3 times a certain number

22 the negative make the 4 go negative and the -5 positive

23 i did 5^2-4^2= 9

then 6^2 divided by 9+9= 13 i took the 9 from the 5^2 problem then divided it by 6^2

then 13 x 13 = 169

Answer:

Identify the Sequence 1, 1/4, 1/16, 1/64 11, 1414, 116116, 164164 This is a geometric sequencesince there is a common ratiobetween each term. In this case, multiplying the previous termin the sequenceby 1414gives the next term.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Sequence:

Common ratio is the ratio between the next term and the previous term:

or

or

Answer:

16 inches

Step-by-step explanation:

in a triangle, the sum of any two sides must be greater than the third side

Answer:

Minimum -1, maximum 1.

At points (3π/4. -1) and  (π/4 , 1)

Step-by-step explanation:

The maximum value for the sine of an angle is 1 and the minimum is -1.

The angle will have values of π/2 and 3π/2 at these points.

As the angle is 2x the angle values will be  π/4 and  3π/4.

Answer:

Hey there!

4a^2-20a+25 can be factored to (2a-5)(2a-5). Thus, the side length of the square is 2a-5. Basically, we want to find two of the same binomials that can multiply to get 4a^2-20a+25. For example, 2a times 2a = 4a^2, and you can use the foil method to solve for the rest.

4a^2 - 20a +25

(2a)^2 - 20a + (-5)^2

(2a - 5)^2

(9a2 − 16b2) is just a difference of squares, and can be factored to (3a+4b) and (3a-4b). The difference of squares formula can give us this.

Let me know if this helps :)

Answer:

Step-by-step explanation:

Part A

[tex]4a^{2} -20a+25\\\\=(2a)^2-2(5)(2a)+5^2[/tex]

does that seems familiar?

it's because it's a perfect square that can be factorized as

[tex](2a-5)^2[/tex]

so the length of each side is

2a-5 both of them

Part B

[tex]9a^2-16b^2[/tex]

[tex](3a)^2-(4b)^2[/tex]

that's a difference of squares you know [tex]x^2-y^2=(x-y)(x+y)[/tex]

so

[tex](3a-4b)(3a+4b)[/tex]

so the lengths are

3a-4b and 3a+4b

Answer:

32

Step-by-step explanation:

2/5x80

16x2

32

Hope this helps

Answer:

48 died

Step-by-step explanation:

2 out of 5 survived that means 5-2 = 3

3 out of 5 died

Multiply that fraction that died by the total number

3/5 * 80

48

Answer:

b. 11.85 plus or minus 0.0588

Step-by-step explanation:

Give the following :

Sample mean (m) = 11.85 oz

Sample standard deviation (s) = 0.18

Confidence interval = 95%

Number of observations (n) = 36

Using the formula:

Mean ± Z95% × (sd/√n)

Z score at 95% confidence interval = 1.96

11.85 ± [1.96 × (0.18/√36)]

11.85 ± [1.96 × (0.18 / 6)]

11.85 ± (1.96 × 0.03)

11.85 ± 0.0588

Answer:

Arectangle=27.68cm (approximately)

Step-by-step explanation:

in order to find the area of the rectangle first you need to find the measure of the length and width.

since both of them aren't given ,use trigonometry to find the value of the length and width.

sin30°=opposite/hypotenuse

sin30°=opposite/8cm

opposite=sin30°*8cm. >sin30°=0.5

opposite=4cm

cos30°=adjacent/hypotenuse

cos30°=adjacent/8cm

adjacent=cos30°*8cm. cos30°=0.866

adjacent=6.92cm (approximate value)

Arectangle= bh

Arectangle=4cm*6.92cn

Arectangle=27.68cm

Answer:both

Step-by-step explanation:

Answer:

Both :)

Step-by-step explanation:

Answer:

a) experimental: 164/500 = 41/125, which is 0.328

b) theoretical: 2/6 = 1/3, which is 0.333333....

c) the first answer, small difference

Step-by-step explanation:

Answer:

9(x-5)

Step-by-step explanation:

Product of 9 = Multiply by 9

Difference = Subtract

Number = x

Using algebraic expressions, the product of 9 and the difference between the number (x) and 5 is expressed as: 9(x - 5).

An algebraic equation involves a mixture of numbers and variables, in which case, the variable is used to represent an unknown number.

Let variable x represent the number

Product of 9 and the difference between (x - 5) is expressed as an algebraic expression as: 9(x - 5).

Learn more about algebraic expression on:

https://brainly.com/question/2164351

Answer:

Hey there!

If you mean, to the nearest ten,  this would be 84000.

Let me know if this helps :)

Answer:

84,000

Rounded to the nearest 10 or

the Tens Place.

Answer:  y = 7cos(0.4π x) - 3

Step-by-step explanation:

The equation of a cosine function is:    y = A cos(Bx - C) + D    where

Midline (D) = -3

(-1.25, -3) is given as a point on the midline.  We only need the y-value.

Horizontal stretch (B) = 0.4π

The max is located at (0,4) and also at (5, 4).  Thus the period (length of one wave) is 5 units.

[tex]P=\dfrac{2\pi}{B}\qquad \rightarrow \qquad 5=\dfrac{2\pi}{B}\qquad \rightarrow \qquad B=\dfrac{2}{5}\pi[/tex]          →     B = 0.4π

Phase Shift (C) = 0

The max is on the y-axis so there is no horizontal shift.

Amplitude (A) = 7

The distance from the midline to the max is: A = 4 - (-3) = 7

Equation

Input A = 7, B = 0.4π, C = 0, and D = -3 into the cosine equation.

            y = A cos(Bx - C) + D

            y = 7cos(0.4π x - 0) - 3

            y = 7cos(0.4π x) - 3

Answer: y=(-1/4)x

Step-by-step explanation:

slope-intercept form: y=ax+b

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

#1 Find the slope

- Use rise/run: -(2/8)=-1/4

-Use slope formula: (2-0)/(-8-0)=2/-8=-1/4

#2 Find the y-intercept

- Given the point (0,0), the y-intercept is already shown which is 0

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

a=-1/4

b=0

y=(-1/4)x

We need to determinate who doesn't use anything, so first we must know the real number of who are practising: a person can do more things.

For doing this, is better use a three-circles graphic, but we try to do without it.

So

now:

now we must now who do some facility: let's sum all

16 + 22 + 15 + 17 + 12 + 9 + 8 = 99

99/100 practise something

So only 1/100 doesn't use nothing

The probability is 1%

Answer:

sorry yall i can help u

Step-by-step explanation:

Answer:

(A) 0.0244

(B) 1 (not 1.47 as is calculated) since probability values are between 0 and 1; 0 and 1 inclusive

Step-by-step explanation:

The rare mutation only occurs in 1 generation, out of every 2048 generations. This implies that the next occurrence will fall in or within the next 2048 generations (2 generations in 4096 generations, will have the rare mutation).

(A) The probability of occurrence of this mutation at least once (at most infinity) in 50 generations of fruit flies will surely be less than, as 50 is less than 2048.

The accurate probability is gotten when 50 is divided by 2048

50÷2048 = 0.0244

(B) The probability of seeing this mutation at least once (at most infinity) in 3000 generations would have been 1.47 but for 3 reasons;

- The full question already tells that the mutation will occur once in every 2048 generations and 3000 is greater than 2048, hence there will be a sure occurrence within 3000 generations.

- Question (b) asks you to calculate the probability of seeing this mutation at least once in 3000 generations so, the probability is 1 (representing full probability).

- In probability theory or statistics, all probability values fall within 0 and 1; with 0 representing no occurrence at all and 1 representing full occurrence.

Answer:

Patricia's account balance after thirteen years is $867.16

Step-by-step explanation:

This problem is on simple interest calculation

we know that the formula for simple interest is given as

A= P(1+rt)

Given that

P= $612.40

r= 3.2%= 0.032

t= 13 years

Applying the formula we have

A= 612.40(1+0.032*13)

A= 612.40(1+0.416)

A= 612.40(1.416)

A= 867.1584

A= $867.16

Answer:

x = - 3, x = 0, x = 3

Step-by-step explanation:

Given

4x³ = 36x ( subtract 35x from both sides )

4x³ - 36x = 0 ← factor out 4x from each term

4x(x² - 9) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x² - 9 = 0 ⇒ x² = 9 ⇒ x = ± [tex]\sqrt{9}[/tex] = ± 3

Answer:

4x^3=36x.

4x^3-36x=0.

4x^3=36x.

4x(x^2-9)=0.

4x=0,x^2-9=0.

x=0,x^2=9.

x=0,√9=+3 or -3.

x=0,+3,-3.

Thank you for the question

Answer:

[tex]\Huge \boxed{x=0}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

y + 50 = 180

y = 180 - 50 = 130

We can use Angle formed by a chord and tangent theorem to solve for x.

The angle formed by a chord and tangent is half the measure of the intercepted arc.

130 = 1/2(2x+260)

Expand brackets.

130 = x+130

Subtract 130 from both sides.

x = 0

Answer: No it is not

Answer:

-4 ≤ x ≤ 0

Step-by-step explanation:

Given

x ≤ 0 or x ≥ -4

Required

Write using Interval notation

x ≤ 0 or x ≥ -4

This can be rewritten as

x ≤ 0 or -4 ≤ x

Reorder the above inequality to give:

-4 ≤ x or x ≤ 0

The above inequality can then be combined to give

-4 ≤ x ≤ 0

Hence, the interval notation of x ≤ 0 or x ≥ -4 is -4 ≤ x ≤ 0

Answer:

[see below]

Step-by-step explanation:

Replace 'x' with the given value and evaluate.

For f(0):

[tex]f(0)=6x-8\\\\f(0)=6(0)-8\\\\f(0)=0-8\\\\\boxed{f(0)=-8}[/tex]

For f(1/2):

[tex]f(1/2)=6(1/2)-8\\\\f(1/2)=3-8\\\\\boxed{f(1/2)=-5}[/tex]

For f(-2):

[tex]f(-2)=6(-2)-8\\\\f(-2)=-12-8\\\\\boxed{f(-2)=-20}[/tex]

Hope this helps.

Step-by-step explanation:

34-11= women

women divided by 34

23/34 is the fraction of women in the class.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

Given that,

Total students in the class = 34 students.

Number of students men = 11

Number of students women = 34 - 11 = 23

Now a fraction of 23 from 34 = 23/34

Hence "23/34 is the fraction of women in the class".

For more about fractions,

https://brainly.com/question/10354322

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