What angles are adjacent to angle 4

Answer:

0.4762 = 47.62% probability that this bulb was produced by factory A

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Bulb is defective.

Event B: Produced by factory A.

Probability of a bulb being defective.

5% of 40%(factory A)

3% of 20%(factory B)

4% of 40%(factory C). So

[tex]P(A) = 0.05*0.4 + 0.03*0.2 + 0.04*0.4 = 0.042[/tex]

Defective and from factory A:

5% of 40%. So

[tex]P(A \cap B) = 0.05*0.4 = 0.02[/tex]

What is the probability that this bulb was produced by factory A?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.042} = 0.4762[/tex]

0.4762 = 47.62% probability that this bulb was produced by factory A

Answer:

1 is the answer

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

first, you divide 28 by 7 and get 4, then multiply 4 by 1 which is 4, finally divide 4 from 4 with is 1

((28/7)*1)/4=1

Answer:

29, 35, 41

Step-by-step explanation:

The difference is always 6

The correct answer is 90

Answer:

The integer can be -1 or 5.

Step-by-step explanation:

Let an integer is x.

ATQ,

The square of an integer is 5 more than 4 times the integer.

[tex]x^2=5+4x[/tex]

or

[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]

It is a quadratic equation. Using middle term splitting,

[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]

So, the integer can be -1 or 5.

If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5

Let the unkown integer be "x"

The square of an integer is expressed as x^2

5 more than 4 times the integer is expressed as [tex]4x +5[/tex]

Equate both expressions to have:

[tex]x^2 = 4x + 5\\[/tex]

Equate to zero and factorize:

x^2 - 4x - 5  = 0

x^2 - 5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x + 1)(x - 5) = 0

x = -1 and 5

Hence the integers are -1 and 5

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Answer:

interest = $600

Step-by-step explanation:

for simple interest,

I = PTR/100

Principal (P) = $5000

Time (T) = 3 YEARS

Rate(R) = 4%

therefore, Interest (I) = $5000 × 3 × 4 / 100

                                  = $ 600

Answer: 30.9

Step-by-step explanation:

Delta math

The area of parallelogram is 30.9 ft²

The area of a parallelogram is defined as the region or space covered by a parallelogram in a two-dimensional plane. A parallelogram is a special kind of quadrilateral. If a quadrilateral has two pairs of parallel opposite sides, then it is called a parallelogram.

Let the sides of a parallelogram a, b and height h.

Now the area of parallelogram= a*h

given data are

angle between two sides =107°

and sides are a=8.5 feet and b=3.8 feet

The height of the parallelogram [tex]h= bsin\alpha[/tex]

now height [tex]h= 3.8*sin107\\h=3.634 feet[/tex]

Now the area of parallelogram = 8.5*3.634

Now the area of parallelogram=30.9 ft²

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Step-by-step explanation:

To get the x-intercept, set y = 0. Then solve for x:

[tex]9 {x}^{2} = 18 \\ x = \sqrt{2} [/tex]

Therefore, the x-intercept is

[tex]( \sqrt{2} \: \: \: \: 0)[/tex]

Answer:

SOCCER AND BASKETBALL

mark me brainliest

Step-by-step explanation:

Answer:

soccer and baskball

Step-by-step explanation:

because in basketball you have to dribble the ball with your hands and in soccer you have to dribble the ball with your feet by going back and forth.

Answer: it already is.

Step-by-step explanation: The more pieces are cut, the smaller they get so the bigger the denominator, the bigger the piece

Answer:

a is 23 1/24 or 553/24 and b is 109 43/87

Step-by-step explanation:

Answer:

Gross margin= $50

Step-by-step explanation:

Giving the following information:

Selling price= $264

Unitary cost= $214

To calculate the gross margin, we need to deduct from the selling price the unitary cost:

Gross margin= selling price - unitary cost

Gross margin= 264 - 214

Gross margin= $50

Answer:

5 inches

Step-by-step explanation:

add all them and divide by 5.

Answer:

1. 15

2. 13

3. -9

4. 5

5. 31

just put the values in the given equation.

:)

Answer:

2 5/8 boxes of cereal in one week

I cannot quite show this to you, but the coordinates are listed below. If you want to know how you would answer this type of question, read the following. The question is indicating that you must translate. This means to move the figure however many units. In this question, it says 5 units to the right and 4 units down. You would take the bolded point and drag it 5 to the right. Then, from that point, drag it 4 units down.

Point in original: (-7,3)

Point in final figure:(-2,-2)

Hope this helps!

Answer:

50 days are needed to make $2500.

Step-by-step explanation:

Number of tons per day:

One ton equals 2000 pounds, as the problem states as a hint.

The company collects 200 pounds per day.

1 ton - 2000 pounds

x tons - 200 pounds

2000x = 200

x = 200/2000

x = 0.1

0.1 tons per day.

A recycling company makes $500 per ton of aluminum scrap collected.

0.1*500 = $50 per day.

How many days are needed to make $2500?

1 day - $50

x days - $2500

50x = 2500

x = 250/5

x = 50

50 days are needed to make $2500.

Answer:

It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.

Step-by-step explanation:

The together rate is the sum of the separate rates.

In this question:

Sam's rate is 1/10 for 25 square feet, so 1/20 for 50 square feet.

Your's rate is 1/5 for 25 square feet, so 1/10 for 50 square feet.

Together rate:

[tex]\frac{1}{x} = \frac{1}{20} + \frac{1}{10}[/tex]

[tex]\frac{1}{x} = \frac{1}{20} + \frac{2}{20}[/tex]

[tex]\frac{1}{x} = \frac{3}{20}[/tex]

[tex]3x = 20[/tex]

[tex]x = \frac{20}{3} = 6.67[/tex]

It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.

Answer:

41

Step-by-step explanation:

I am essentially going through every multiply of 12 and then adding 5 to it, because we are using the rule that it should have a remainder of 5. It should also be a remainder of 5 if divided by 6 and 9 as well.

12 + 5 = 17

17/6 = 2 R 5

17/9 = 1 R 8

24 + 5 = 29

29/6 = 4 R 5

29/ 9 = 3 R 2

36 + 9 = 41

41/6 = 6 R 5

41/9 = 4 R 5

Hence, the number is 41

If my answer is incorrect, pls correct me!

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Answer:

Step-by-step explanation6:

Answer:

d [tex]\displaystyle sin∠A = \frac{8}{17}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

With the above information, you now should know what the answer is.

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

x ^2 + y ^2 = 9   =>   y = y(x) = ± √(9 - x ^2)

Each cross section would be a square with side length equal to the vertical distance between the upper and lower semicircles defined by y(x), which is

√(9 - x ^2) - (- √(9 - x ^2)) = 2 √(9 - x ^2)

The area of each square section is the square of this length,

(2 √(9 - x ^2)) = 4 (9 - x ^2) = 36 - 4x ^2

We get the whole solid for -3 ≤ x ≤ 3, so integrating gives a volume of

[tex]\displaystyle\int_{-3}^3(36-4x^2)\,\mathrm dx=\boxed{144}[/tex]

Answer:

y = 3x + 1

Step-by-step explanation:

The way you find slope is change in y over change in x, (as a fraction).

So then your equation is y = 3x because the y value goes up 3 times and the x goes up once (3/1), and then you see what value y has when x = 0 to find the b value, which is one.

First lets find the total number of cookies

12*4=48

48 cookies

Number of cookies eaten

5*2=10

10 were eaten

Cookies left

48-10=38

38/48=19/24

19/24 of the cookies are left

Answer:

38 are left

Step-by-step explanation:

Answer:

10, 50, 150

Step-by-step explanation:

i just did it lol.

Answer:

A .part of a line that has two end points

Answer:

9/38

Step-by-step explanation:

The odds of your drawing an even card from the deck are 10/20, or 1/2. The odds of your friend also taking an even card after (WITHOUT recplacing the card) is 9/19, which cannot be further simplified. You multiply the two -- 1/2 * 9/19 -- which results in your answer, 9/38. This is a dependent probability.

Answer:

Equations would be;

30 + 50 + y = 180

and

y = 180 - 80

Additional:

If you are looking for y and u value then here they are:

y = 100°

u = 25°

Hope this helps!