A factory produces a batch of toy vehicles, 1/3 of which are cars and the rest are trucks. trucks have defective ratio of 0.02 and cars have defective ratio of 0.01. the quality inspector picks a toy vehicle at random from the batch and finds out that it is defective. what is the probability that the vehicle was a truck

Answer:

1. A

2. C

Step-by-step explanation:

1. A

2. C

Answer:

±[tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex]

Step-by-step explanation:

We can rewrite [tex]sin(\frac{7\pi }{12} )[/tex] as [tex]sin(\frac{7\pi }{6} (\frac{1}{2} ))[/tex]. The half-angle identity for sin tells us that [tex]sin(\frac{x}{2} ) = \sqrt{\frac{1 - cos(x)}{2} }[/tex] (plus or minus). Now, we can plug in [tex]\frac{7\pi }{6}[/tex] for x. When we do that, we get [tex]\sqrt{\frac{1 - (-\frac{\sqrt{3}}{2}) }{2} }[/tex] =  ± [tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex].

Hope this helped! :)

Answer:

[tex]A = 10,000(1.05t)[/tex] where t is in years

Step-by-step explanation:

I'm going to assume that the expectation that Cameron has is the amount of money after t years.

We can use the simple interest formula [tex]A = P(1+rt)[/tex] where A is the final amount, P is the principal, r is the rate, and t is time.

We can plug in 10,000 for P and 0.05 for r, giving us

[tex]A = 10,000(1.05t)[/tex]

Answer:

1,514,919

Step-by-step explanation:

I just used a calculator cuz in 6th you can use one but here's the answer

Answer:

If the couple purchases a house and they made all their payments, their total cost of the house would be $1,541,919.

Explanation:

$256,000
$443,504
$513,765
$328,650 +
------------------

$1,541,919

Answer:

y1: Ann

y2: Damian

y3: Adam

y4: Debbi

Step-by-step explanation:

Answer:

4.33

Step-by-step explanation:

1/3=0.33 recuring

4 just eqauls 4

so you add 0.3 recuring to 4

and depending on significant figures it wants you round it ill assume it wants 3 and go 4.33

Answer:

d)142º

Step-by-step explanation:

[tex]\widehat{AB}=2\times71\º=142\º[/tex]

Answer:

There is 57 snails after 14 weeks

Step-by-step explanation:

tripling every week means 3x

NOTE: x is defined as the number of weeks

started with 15 snails means at day 0 (x = 0 also known as y intercept)

y = mx + b       m is the slope, b is the y intercept

our equation: y = 3x + 15

y = 3(14) + 15

y = 42 + 15

y = 57

Answer: 40.69°

here for more info: https://brainly.in/question/51655864

[tex]7 \times {10}^{ - 3} [/tex]

Hopefully you got what I meant, this is easy.

Answer:

x=48

Step-by-step explanation:

(x-10)÷2=19

x-10 =19

2

(x-10)×2 =19×2

2

x-10=19×2

x-10=38

x=38+10

x=48

Using it's concept, it is found that the desired probability is given by:

P(Head, Diamond AND Head, Heart) = 1/64.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, each outcome is equally as likely, having a 1/8 probability, and they are independent.

Then:

P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.

More can be learned about probabilities at https://brainly.com/question/14398287

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Answer:

0.29 as a percentage is the same as 29%

Step-by-step explanation:

it’s going to be 29% because you just pretend that there isn’t a 0. In front of the 29 and you have 29%.

The decimal number 0.29 is equivalent to 29% when expressed as a percentage.

Given decimal is 0.29.

To convert a decimal number to a percentage, multiply it by 100 and add the percentage symbol (%).

In this case, to convert 0.29 to a percentage

= 0.29 x 100

= 29

Therefore, 0.29 is equivalent to 29% as a percentage.

Learn more about percentage here:

https://brainly.com/question/24159063

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diameter= 13 cm

the circumference of the given circle.

[tex]c = \pi \: d[/tex]

[tex]c = 3.142 \times \: d[/tex]

[tex]c = 3.142 \times 13[/tex]

[tex]c = 40.846 \: cm[/tex]

hence, the circumference of the given circle is 40.846 cm

First, we'll have to change the diameter to radius by dividing the diameter by 2.

[tex]\large\boxed{Formula: r= \frac{d}{2}}[/tex]

So we'll have to divide 13 by 2.

Substitute the values according to the formula.

[tex]r= \frac{13}{2}[/tex]

[tex]\bold{6.5 \: cm}[/tex]

Now, we can find the circumference.

[tex]\large\boxed{C= 2\pi{r}}[/tex]

Substitute the values according to the formula.

[tex]C= 2\times\pi\times6.5[/tex]

Calculate value:

[tex]\large\boxed{C= 40.8407045 \: cm}[/tex]

Therefore, the circumference of the given circle is 40.8407045 centimeters.

Answer:

[tex]\sf y=\dfrac{54}{6.75}[/tex]  or  [tex]\sf y=54 \div 6.75[/tex]

(where y is the number of bags made)

Step-by-step explanation:

If Rowan bought a 54 oz bag of jelly beans and divided them into bags that each contained 6.75 oz, to find how many bags were made, divide the total weight of jelly beans by the weight of each bag.

⇒ Number of bags = Total weight ÷ bag weight

                                = 54 ÷ 6.75

                                = 8

Therefore, Rowen made 8 bags.                    

Total weight of jelly beans initially

Each bag contains

So the equation should be

Or

If we solve we get total bags as 8

the question says that the samples included 100 people each, so it's just 100 multiplied by the amount of samples:

7×100=700

Answer: It looks like the answer is 50. But i would go over it with a calculator.

Step-by-step explanation:

Answer:

2500m³

Step-by-step explanation:

A = length x width x height

50m x 25m x 2 m

=2500m³

Answer:

Step-by-step explanation:

hope this will help you

Answer:

Impossible.

Step-by-step explanation:

I learned that you can use the word impossible during one of my math classes, so I chose the word impossible since she cannot lose a turn on her next turn.

Answer:

B, E

Step-by-step explanation:

Needs a 3:4:5 ratio, or, if it is an isosceles triangle, then n:n:nsqrt(3)

Answer: Figure 1, Figure 2, Figure 3

Step-by-step explanation:

Blue figure Volume:

[tex](2 *5^{3} ) + (15*5*5) = 625feet^{3}[/tex]

Pink figure volume:

[tex](5^{3})+(5*5*17.5) + (12.5*2.5*5) = 718.75 feet^{3}[/tex]

Green figure volume:

[tex](4*12.5*11) + (2*9*11) = 748 feet^{3}[/tex]

Answer: 84 degrees

Step-by-step explanation:

this triangle is an isosceles triangle meaning two sides are of equal length ( the two sides in this case being the ones marked with the two lines // and // ) and that also means the triangle will have two equal angles (48 and 48) how do we know that? The triangle looks like this essentially: (see image below) where angle a = to angle b

a triangles angles added up always =180 degrees

Since we proved angle a is equal to angle b, we should be able to also subtract them from 180 to find angle c. 48+48=96

and simply subtract 96 from 180 to get 84 degrees.

therefore the angle is 84 degrees

Answer:

The median is also known as the middle of the data set when it has already been sorted.  So the first thing that we need to do is make sure that our data set is fully sorted.

[tex]19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33[/tex]

Now that we have our data set sorted, we can located the middle.  Since this data set has 11 numbers that means number 6 is going to be our median.  Counting from the left we get that our median is 24.

Hope this helps!  Let me know if you have any questions

Answer: The answer is 24.

Step-by-step explanation: To find the median, you put all your data in order from least to greatest, which would look like:

19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33

Then, cross out the numbers from front to back until you find your middle number.

19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33

This leaves 24 left, which is the answer!

Answer:

y ≥ 14

Step-by-step explanation:

Add 27 to both sides to get:

y ≥ 14

Therefore the answer is y ≥ 14.

Answer:

diameter - B

central angle - E

radius - A

tangent - D

minor arc - F

chord - C

Answer:

1) yes--common difference is 3.