Machine A and machine B both make car parts.
Machine A makes 7 parts every 10 minutes.
Machine B makes M6 parts every 15 minutes,
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday

Answer:

0.9976 = 99.76% probability that he/she actually is a future terrorist

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: Person identified as a future terrorist

Event B: Person is actually a future terrorist.

Probability that a person is identified as a future terrorist:

96% of [tex]\frac{1000}{200000000}[/tex]

100 - 99.8 = 0.2% of [tex]\frac{200000000-1000}{200000000}[/tex]

So

[tex]P(A) = 0.96\frac{1000}{200000000} + 0.002\frac{200000000-1000}{200000000} = 0.002[/tex]

Probability of being identified and being a future terrorist:

100 - 99.8 = 0.2% of [tex]\frac{200000000-1000}{200000000}[/tex]

[tex]P(A \cap B) = 0.002\frac{200000000-1000}{200000000} = 0.00199999[/tex]

What is the probability that he/she actually is a future terrorist

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00199999}{0.00200479} = 0.9976[/tex]

0.9976 = 99.76% probability that he/she actually is a future terrorist

This it the test please do as fast as posible and show work. thank you and sorry

Answer:

8 17/18

Step-by-step explanation:

I used an online calculator (calculator soup)

Answer:

8 17/18

Step-by-step explanation:

7/3 * 23/6

7*23

3*6

161/18

8 17/18

Answer:

k=7.3

Step-by-step explanation:

6k=44

k= 44÷6

k=7.3

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

Answer:

An adaptation is a characteristic that helps a living thing survive and reproduce. True Natural selection is a change in the characteristics of living things over thing

The one characteristic of a living thing which helps it to survive is an adaptation. This help to survive an organism in its environment.

Adaptation for the living thing is the main characteristics which help a living thing to be alive. It helps the living things to survive in its environment.

Importance of adaptation-

Thus, the one characteristic of a living thing which helps it to survive is an adaptation. This help to survive an organism in its environment.

Learn more about adaptation here;

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Answer:

choice 4) x = 7, y = 7sqrt(3)

Step-by-step explanation:

sin 30 = x/14

0.5 = x/14

x = 7

sin 60 = y/14

0.8660 = y/14

y = 12.12 or 7sqrt(3)

Answer:

19 678932

Step-by-step explanation:

i am not sure

Answer:

i dont know what you are asking but 3/10-8/10

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

-73 is the simplified answer

Step-by-step explanation:

Answer:

(0,16) I am pretty sure

Step-by-step explanation:

Answer:

B. Team B has a larger median and the same interquartile range.

The correct statement is,

D. Team B has a smaller median and the same interquartile range.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We know that;

Based on the given data, the correct comparison of Team B to Team A is A. Team B has a larger median and a smaller interquartile range.

This is because the median score for Team B is 70, which is higher than the median score for Team A, which is 70.

The interquartile range for Team B is smaller because the scores are more tightly clustered around the median, indicating less variability in scores compared to Team A.

Thus, The correct statement is,

D. Team B has a smaller median and the same interquartile range.

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9514 1404 393

Answer:

  5 (all of them)

Step-by-step explanation:

The sums of digits are ...

  6+4+8 = 18

  8+4+6 = 18

  1+2+6 = 9

  6+1+2 = 9

  5+7+6 = 18

When the sum of digits is a multiple of 9, the number is divisible by 3 and 9.

When the number is also even (as all of these are), it is also divisible by 6.

All 5 of these numbers are divisible by 3, 6, and 9.

Answer:

All 5 of them.

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Hello There!

The first thing we need to do is find the formula for area of a trapezoid

The formula is

[tex]A=\frac{a+b}{2} h[/tex]

where a= base 1

b = base 2

and h = height

we are given all of the dimensions so all we have to do is plug them in

sp

[tex]A=\frac{12+4}{2} 4\\12+4=16\\\frac{16}{2} =8\\8*4=32[/tex]

so the area of the figure is

32 units ²

Answer:

32

Step-by-step explanation:

Find formula

A=a+b/2 h

a= base 1

b = base 2

h = height

Then plug everything in

32 units ²

Answer:

x = 4

Step-by-step explanation:

So you multiply all in the ( x + 1) by 4 so 4 times x equals 4x and 4 times 1 is 4

5x = 4x + 4 subtract 3x because that is the only common thing on the other side you'll get

x = 4 and that's your answer

Answer:

can you please write the expression with the mathematical symbols. I can't understand what you mean by (^). do you mean that number is raised to that symbol or are you're trying to multiply. if you don't know how to write exactly how it's given, attach a picture of your question.

Step-by-step explanation:

Answer:

AAA

Step-by-step explanation:

The AAA (angle-angle-angle) theorem proves they have 3 congruent angles, but not congruent sides.

Answer:

decide on your destiny

Step-by-step explanation:

i need you to decide on your own destiny  

Answer:

24 feet height, 60 feet length

Answer: 3/28

Step-by-step explanation:

Here we go, whenever you see the word "of" this mean to multiply

2/7 x 3/8 = 3/28

 Answer: 3/28 .

I hope this help...

Answer:

(-1,-1)

Step-by-step explanation:

Answer:

you are right

Step-by-step explanation:

Use the law of law of cos

c^2=a^2+b^2﹣2abcos√angle

(2√13)^2=52=4+36-24cos(a)

cos(a) = -12/24 =  -1/2

a = 120 degrees

so yes, you are right

Answer:

Length of arc AD = 15.7 cm

Step-by-step explanation:

Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here, θ = Central angle subtended by the arc

r = radius of the circle

From the picture attached,

Central angle subtended by arc AD = 360° - (180° + 66.4°)

                                                            = 113.6°

Length of arc AD = [tex]\frac{(113.6)}{360}(2\pi )(7.9)[/tex]

                             = [tex]\frac{113.6}{360}(2)(3.14)(7.9)[/tex]

                             = 15.655 cm

                             ≈ 15.7 cm

Length of arc AD = 15.7 cm

Answer:

12.4

Step-by-step explanation:

Just did it.

Answer:

(-8x)(20y)-16

Step-by-step explanation:

(-4x10y-8)2

distribute the two to all terms inside the parentheses

(-8x)(20y)-16

you cannot simplify this further

Answer:

His daughter received $ 1,271,760.

Step-by-step explanation:

Given that a man had $ 10,072,540 with him, and he gave $ 4,836,080 to his wife, $ 3,964,790 to his son and the rest to his daughter, to determine how much money was received by the daughter, the following calculation must be performed:

10,072,540 - 4,836,080 - 3,964,790 = X

5,236,460 - 3,964,790 = X

1,271,670 = X

Thus, his daughter received $ 1,271,760.

Answer:

A person (or institution) who invest the money or makes the funds available is called the lender or creditor.

Step-by-step explanation: