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weeeeeb [17]
3 years ago
12

12. From a rope 68 m long, pieces of equal size are cut. If length of one piece is 4/14 m, find the number of such pieces.

Mathematics
2 answers:
otez555 [7]3 years ago
7 0

Answer:

hope this helps (sorry for messy handwriting!)

Step-by-step explanation:

Bond [772]3 years ago
5 0

We have to count how many times does 4/14 fit inside 68. To do so, we have to perform a division:

68\div\dfrac{4}{14}

But dividing by a fraction is the same as multiplying the inverse of that fraction:

68\div\dfrac{4}{14}=68\cdot\dfrac{14}{4}

So, divide 68 by 4 and then multiply the result by 14 to get the number of pieces you can cut.

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Suppose we have a population whose proportion of items with the desired attribute is p = 0:5. (a) If a sample of size 200 is tak
crimeas [40]

Answer:

a. If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b. If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

Step-by-step explanation:

This problem should be solved with a binomial distribution sample, but as the size of the sample is large, it can be approximated to a normal distribution.

The parameters for the normal distribution will be

\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/200}= 0.0353

We can calculate the z values for x1=0.47 and x2=0.51:

z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.0353}=-0.85\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.0353}=0.28

We can now calculate the probabilities:

P(0.47

If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b) If the sample size change, the standard deviation of the normal distribution changes:

\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/100}= 0.05

We can calculate the z values for x1=0.47 and x2=0.51:

z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.05}=-0.6\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.05}=0.2

We can now calculate the probabilities:

P(0.47

If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

8 0
3 years ago
I WILL GIVE BRAINLIEST FOR Correct Answer
VladimirAG [237]
Part A) Find BC, the distance from Tower 2 to the plane, to the nearest foot.

in the triangle ACD
sin16=CD/(7600+BD)--------> CD=sin16*(7600+BD)---------> equation 1 

in the triangle BCD
sin24=CD/BD-----------> CD=sin24*BD---------------> equation 2
equation 1=equation 2
sin16*(7600+BD)=sin24*BD-----> sin16*7600+sin16*BD=sin24*BD
sin24*BD-sin16*BD=sin16*7600----> BD=[sin16*7600]/[sin24-sin16]
BD=15979 ft

in the triangle BCD
cos24=BD/BC---------> BC=BD/cos24-------> 15979/cos24-------> 17491
BC=17491 ft

the answer part 1) BC is 17491 ft

Part 2) Find CD, the height of the plane from the ground, to the nearest foot.

CD=sin24*BD        ( remember equation 2)
BD=15979 ft
CD=sin24*15979 -----------> CD=6499 ft

the answer part 2)  CD is 6499 ft
4 0
3 years ago
Read 2 more answers
Z=<br><br> 37 <br><br> 51 <br><br> 39<br><br> Triangles and Trigonometry
san4es73 [151]

Answer:

z =  { \tan( \frac{10}{8} ) }^{ - 1}  \\ z =(51.34019174591)

So the corect answer is (51)

5 0
2 years ago
What's the answer for <br> 0.2(x+50)-6=0.4(3x+20)
marin [14]
It should be x=11. could someone fact check me?

5 0
3 years ago
Student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she d
sesenic [268]
250 milliters of water remains
8 0
2 years ago
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