Answer:
40 cm
Step-by-step explanation:
<em>Diagonal side: use pythagorean</em>
8^2 + 6^2 = 10^2 => the side is equal to 10
add up w/ 3 others side is 8, 8 and 14
So it is 10 + 8 + 8 + 14 = 40
<em><u>Correct steps are shown</u></em>
<em><u>Correct simplified expression is:</u></em>
<em><u>Solution:</u></em>
<em><u>Given that: Mara simplifies the expression</u></em>
<em><u>Correct steps are:</u></em>
From given,
<em><u>Use the distributive property,</u></em>
a(b + c) = ab + bc
Therefore,
Group the like terms
Thus the expression is simplified
Answer:
6 photos more if you use the fast printer
30 photos
Step-by-step explanation:
To figure out the answer, it will be much easier to figure out how many pages each printer can print in 1 minute. For the office printer, we need to divide both numbers by 12.5. This means that the office printer can print 2 pages per minute.
Do the same thing for the home printer. We need to divide both numbers by 6. This means that the home printer can print 2.5 pages per minute.
The home printer is indeed faster.
Now, we need to figure out how many more pages can the home printer print in 12 minutes. In 12 minutes, the office printer can print 24 pages. In 12 minutes, the home printer can print 30 pages. The difference in the number of pages between the faster printer and the slower one within 12 minutes is 6 pages.
Because multiples are "many" so you can keep counting on and on and on and you'll keep getting the numbers that add onto
ex: 3, 6, 9, 12, 15, 18, 21, etc. and prime numbers are numbers with only 1 factor ex: 5 is prime because first of all it is an odd number, and the only multiplication equations that go into 5 are: 1 x 5 = 5 nothing else so, it is prime and the factors of 5 are: 1,5 so its prime. (i think i am explaining too much) and also a reminder is: factors= _x_=20 you use this for factors and you add the same number to a number and keep going with multiples.
hope this helps, and sorry if i explained too much.. if i forgot something you need to know, let me know :P
Answer:
a) The approximate probability that more than 25 chips are defective is 0.1075.
b) The approximate probability of having between 20 and 30 defecitve chips is 0.44.
Step-by-step explanation:
Lets call X the total amount of defective chips. X has Binomial distribution with parameters n=1000, p =0.02. Using the Central Limit Theorem, we can compute approximate probabilities for X using a normal variable with equal mean and standard deviation.
The mean of X is np = 1000*0.2 = 20, and the standard deviation is √np(1-p) = √(20*0.98) = 4.427
We will work with a random variable Y with parameters μ=20, σ=4.427. We will take the standarization of Y, W, given by
The values of the cummmulative distribution function of the standard normal random variable W, which we will denote 
, can be found in the attached file. Now we can compute both probabilities. In order to avoid trouble with integer values, we will correct Y from continuity.
a)
Hence the approximate probability that more than 25 chips are defective is 0.1075.
b)
As a result, the approximate probability of having between 20 and 30 defecitve chips is 0.44.
