An automobile manufacturer produces 79​% of its cars at plant A. If 5​% of the cars manufactured at plant A have defective emissions control​ devices, what is the probability that one of this​ manufacturer's cars was manufactured at plant A and has a defective emissions control​ device?

Answer:

8

Step-by-step explanation:

Answer:

Last choice

Step-by-step explanation:

First, convert (sinx)^2 to 1-(cosx)^2 via trigonometric identity derived from (sinx)^2 + (cosx)^2 = 1

[tex]\displaystyle \large{\sin^2x + \cos^2x=1 \longrightarrow \sin^2x=1-\cos^2x}[/tex]

Thus, the rewritten inequality is [tex]\displaystyle \large{1-\cos^2x>1+\cos x}[/tex]

Notice how the inequality has a quadratic pattern since we have (cosx)^2 and cosx in the inequality, simply arrange degrees in order.

[tex]\displaystyle \large{1-\cos^2x>1+\cos x}\\\displaystyle \large{0>1+\cos x-1+\cos^2x}\\\displaystyle \large{0>\cos x+\cos^2x}\\\displaystyle \large{\cos^2x+\cos x < 0}[/tex]

Then we factor cosx since the expression has cosx as a common factor.

[tex]\displaystyle \large{\cos x(\cos x+1)<0}[/tex]

Then we have to consider each inequalities which are cosx<0 and cosx+1<0 then merge both intervals once obtaining the solutions.

(1) [tex]\displaystyle \large{\cos x < 0}[/tex]

This inequality means that we have to find the x-value(s) that satisfy(ies) it.

Since cosx becomes negative after π/2 (Refer to unit circle, cosx becomes negative in second quadrant and this quadrant), that means it becomes negative until it reaches or < 3π/2.

Thus, [tex]\displaystyle \large{\frac{\pi}{2}<x<\frac{3\pi}{2}}[/tex] is the solution to cosx > 0.

The another way to solve inequality is to find the intersections by solving the equation then joint the interval together.

[tex]\displaystyle \large{\cos x<0 \longrightarrow \cos x=0}[/tex]

From the unit circle, cosx becomes 0 at x = π/2 and x = 3π/2 between interval [0,2π]

Therefore:

[tex]\displaystyle \large{\cos x = 0 \longrightarrow x = \frac{\pi}{2}, \frac{3\pi}{2}}\\\displaystyle \large{\boxed{\frac{\pi}{2}<x<\frac{3\pi}{2}}}[/tex]

(2) [tex]\displaystyle \large{\cos x+1<0 \longrightarrow \cos x <-1[/tex]

For this inequality, it appears that there have no solutions because cosine function is defined between [-1,1] in range hence there are no x-values in real plane that make cosx even less than -1.

Because only π satisfies cosx = -1 but not cosx < -1, we restrict π and every values.

Hence no solutions which cause a break of interval between π and π/2 < x < 3π/2

If you substitute x = π in, the inequality is false and therefore the answer is:

[tex]\displaystyle \large{\frac{\pi}{2}<x<\pi, \pi<x<\frac{3\pi}{2}}[/tex]

Answer:

D.

Step-by-step explanation:

The first two don't work, so it's between the last two.

This equation doesn't work for 180, so the answer is the last choice.

:)

Answer:

x^3 - (√3)^3

I'm not so sure since it's not even an option

Step-by-step explanation:

12u

there's no step by step

Answer:

3×g=21

..............

for x=2....value will be 53

for x=7.....value will be 33

brainliest......

Answer:

Step-by-step explanation:

Done

Answer:

x = [tex]\frac{bc}{a+2b}[/tex]

Step-by-step explanation:

x(a + b) = b(c - x) ← distribute parenthesis on both sides

ax + bx = bc - bx ( add bx to both sides )

ax + 2bx = bc ← factor out x from each term on the left side

x(a + 2b) = bc ← divide both sides by (a + 2b)

x = [tex]\frac{bc}{a+2b}[/tex]

Answer:

51°

Step-by-step explanation:

angle2 is equal to 51 degrees

Answer:

∠2 = 51°

Step-by-step explanation:

These are consecutive interior angles that add up to 180°. Same as the other problem, you can solve for the angle like this:

[tex]x+129=180\\x=51[/tex]

Answer:

the table which is the second choice

Step-by-step explanation:

Option A:

1.5 lb bag for $12.99

unit price: $12.99/(1.5 lb) = $8.66/lb

Option B:

unit price: $2.8/(0.2 lb) = $14/lb

Option C:

For the weight of 1 lb, the cost is $10.

unit price: $10/lb

Answer:

the table which is the second choice

Answer:

the snail

Step-by-step explanation:

in order to find who is faster you have to find how many inches each one does in one sec

Ant= 45/15 which is 3 inches per sec.

snail=12/3 which is 4 inches per sec.

so from the above calculations we can see that according to the question given a snail crawls faster than an ant runs

I hope this helps

Answer:

Step-by-step explanation:

Draw a line from S to T'

T' is where the angle PTQ intersects the circle when SR is extended so that it hits the circumference of the circle.

This line bisects the 50 degree angle (which is given. It also bisects PRS.

y is shown on the diagram.

Your first job is to find y

It's y + 90 + 25 = 180  because all triangles are made up of 180 degrees.

y it turns out is 65 degrees.

Now comes the interesting part. PRT' is supplementary to y. It is labeled as 180 - y

<PRT' + Y = 180

y = 65

<PRT' = 180 - 65 = 115

Since PRT' = 115 and since PR = PT'  (They are both radii). x/2 + x/2+ 115 = 180   I'll talk about x/2 down below this.

x + 115 = 180  All triangles = 180

x = 65.

Where did x/2 come? As long as PTQ is situated on the arc that it is on then <PTQ is always going to be x. You will have to piece together the two diagrams to make this work.i

It's a very good application of circles and lines well worth your time to get to know.

Divergence:

div(F) = ∂(3x²y² + 2z)/∂x + ∂(3x² + y + yz)/∂y - ∂(3x²z² + 2yx + xyz)/∂z

div(F) = 6xy² + 1 + z - 6x²z - xy

Curl:

curl(F) = [∂(3x² + y + yz)/∂z + ∂(3x²z² + 2yx + xyz)/∂y] i

… … … … … - [∂(3x²y² + 2z)/∂z + ∂(3x²z² + 2yx + xyz)/∂x] j

… … … … … + [∂(3x²y² + 2z)/∂y - ∂(3x² + y + yz)/∂x] k

curl(F) = (-xz - 2x - y) i + (6xz² + yz + 2y + 2) j + (6x - 6x²y) k

Answer:

x <= 4

Step-by-step explanation:

29+9x<65

-29.      -29

9x<36

divide both sides by 9

x less than or equal to 4

Answer:

x ≤ 4

Step-by-step explanation:

29 + 9x ≤ 65

subtract 29 from both sides

29 - 29 + 9x ≤ 65 - 29

9x ≤ 36

divide both sides by 9

9x / 9 = x and 36 / 9 = 4

we're left with x ≤ 4

Answer:

didn't know how to workout iam only 3rd standard

Answer:

Step-by-step explanation:

bubble gum

Answer:

y=-3x+5

Step-by-step explanation:

y=mx+c

point 1: (-1;8)

point 2: (0;5)

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{5 - 8}{0 - ( - 1)} [/tex]

[tex]m = - \frac{ 3}{1} [/tex]

[tex]m = - 3[/tex]

subs point and gradient to get c

5=-3(0)+c

Therefore c=5

The equation is y=-3x+5

Answer:

Marie drunk 0.083 gallons of milk each day

Answer:

1.41421356237

Step-by-step explanation:

After every decimal place value, or decimal point, there are infinite rows of invisible 0's

In 1.4, there are countless invisible 0's, which would look like this

1.40000000000000000...

Same for 1.41421356237

1.4142135623700000000...

So now, you can compare and see that 1.41421356237 has a 1 in the hundredths place, while 1.4 has a 0 in the hundredths place

Thus, 1.41421356237 is greater than 1.4

Joshua: 143.826 grams

Phoebe: 144 grams

Oliver: Unsure, but for sure what shouldn't happen

Joshua (advantage): It is actually good to include decimals into your information because more information helps assist in experiments with proper results but you must also not include unnessessary information

Phoebe (disadvantage): You should include decimals in information, especially relating to scale weighing and her method lacks decimals

Oliver (disadvantage): This experiment already involves grams and therefore you shouldn't change the form of measurement unless it requests for it to happen

Joshua: 143.826 grams (advantageous)

Phoebe: 144 grams (Disadvantage)

Oliver: Disadvantage

Changing a number's digits so that it approximates a value is known as rounding a number. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Joshua:

Although it is beneficial to add decimals in your data since more information aids in experiments producing accurate results, you should avoid including unnecessary information.

Phoebe's method lacks decimals, which is a drawback because it pertains to scale weighing and you should include them in information.

Oliver : As this experiment already uses grammes, you shouldn't modify the units of measurement until specifically instructed to do so.

Learn more about Rounding off here:

https://brainly.com/question/13391706

#SPJ5

Answer:

  24

Step-by-step explanation:

Let d represent the number of dimes. Then (57-d) is the number of quarters, and the total value (in cents) is ...

  10d +25(57 -d) = 1065

  -15d +1425 = 1065 . . . . . . simplify

  -15d = -360 . . . . . . . . . . subtract 1425

  d = -360/-15 = 24 . . . divide by the coefficient of d

There are 24 dimes in the jar.

Answer: 5 Dollars

Step-by-step explanation: You only have to substract 13 of 18, the answer of that is 5.

Answer:

so basacilly the answer to all of the question is a

Step-by-step explanation: you welcome!

Answer:

0.106

Step-by-step explanation:

We can plug this into normalcdf using the following values:

Lower bound = -1000

Upper bound = 83

Mean = 85

Standard deviation = pop. standard deviation / √(sample size) = 8/5 = 1.6

Answer:

0, -11

Step-by-step explanation:

y-4=-3(x-(-5))

y-4=-3x-15

y=-3x-15+4

y=-3x-11   the ordered to the origin is -11

the y-intercept is at the point (0, -11)

Hope this helps

Answer:

radius is the distance from the center of circle to any point of the circle.

The most no. of tickets sold is 60.

The pictorial representation of data in the form of vertical or horizontal rectangular bars, whose length is proportional to the data's measurement, is known as a bar graph. Data are typically grouped in this way. Bar charts are another name for them. In statistics, bar graphs are one way to handle data.

Given  the graph between total student and number of ticket sold,

where students shown in Y axis and tickets sold in X axis,

as Shown in graph maximum number of tickets sold are 51 to 60

Hence the maximum number of ticket sold is 60.

Learn more about bar graph;

https://brainly.com/question/13298277

#SPJ2