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2 years ago

Given the following image, find the angle of rotation and the number of times each figure can rotate.

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

7 0

Rotated: The figure can be rotated 2 times. Angle of Rotation: 180 ∘

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A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while

bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = Number of bottles in the sample that are not within specification.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....$

where, n = number of trials (samples) taken = 12 bottles

x = number of success = 2 or more bottles

p = probabilitiy of success which in our question is probability that

bottles are not within specification, i.e. p = 0.01

So, X ~ Binom (n = 12, p = 0.01)

Now, the probability that the assembly line will be shut down is given by = P(X $\geq$ 2)

P(X $\geq$ 2) = 1 - P(X = 0) - P(X = 1)

= $1-\binom{12}{0} \times 0.01^{0}\times (1-0.01)^{12-0}-\binom{12}{1} \times 0.01^{1}\times (1-0.01)^{12-1}$

= $1-(1 \times 1\times 0.99^{12})-(12 \times 0.01^{1}\times 0.99^{11})$

= 0.00617

8 0

3 years ago

Write the coordinates of the vertices after a reflection over the y-axis.

vampirchik [111]

Answer:

J'(9'9)

K'(0,9)

L'(0,0)

M'(-9,0)

3 0

1 year ago

How many places do you need to move the decimal to the left to write the number below in scientific notation?

bonufazy [111]

Answer:

A) 1.3*10¹

B)7*10⁰ - Actually I am not very sure if it is required to write 10⁰. I normally don't write 10⁰ (When I solve problems in physics if the answer for example is 7 I just write 7 not 7*10⁰). But if you check on Google 10⁰ has been mentioned

C)1.4*10¹

D)1.2*10¹

Step-by-step explanation:

For any number when you express it in a scientific notation, You should make sure that the number (for example : X) X which is going to be multiplied with a power of 10 (for example:10³,10⁴10¹⁰ etc), X should be between 1 and 10

This might sound very complicated so I can give you an example to simplify

Let's take 1.3*10¹

In this case X is 1.3

This means X*10¹

The number X is being multiplied with the power of 10(example:10¹,10²,10⁰,10⁹ ,etc) .In the above case X is being multiplied with 10¹.

Now this number X should be between 1 and 10.(Including 1)

Scientific notation= X*power of 10

where x>=1 & x<10

That is the explanation

Hope it helps

If you think my explanation is a bit complicated

you can ask me again

5 0

3 years ago

If a questiong does not tell you to answer in terms of pi do you round

Wittaler [7]

Yes, most likely. You may also find it helpful to plug the pi symbol along with your answer into your (scientific) calculator as it will give you a more accurate response.

8 0

3 years ago

I can't figure out what to write for the word form

Bond [772]

6. $10 ^{3}$ ⇒ Ten to the third power

7. $10 ^{5}$ ⇒ Ten to the fifth power

4 0

3 years ago

Given the following image, find the angle of rotation and the number of times each figure can rotate.​

Given the following image, find the angle of rotation and the number of times each figure can rotate.