All categories

3 years ago

Please help me with this

Mathematics

2 answers:

AfilCa [17]3 years ago

6 0

20,000 + 70 + 3 = 20,073

Troyanec [42]3 years ago

6 0

To solve this problem, you need to understand place value concepts. Each digit added makes a number greater, but when adding numbers you have to make sure that you add your other digits in the right places.

To solve 20,000 + 70 + 3, first we can add 70 + 3. This may seem like a simple problem, but it is a good example of place values. Because 3 is in the ones place, you add it to the ones place of the other number (currently a 0). 3 + 0 = 3, so you replace the digit 0 with a 3, giving you the answer 73.

Now, we must solve 20,000 + 73 in a similar manner. Because 73 takes up the tens and the ones places, we should add these numbers to the preexisting digits in those values. Because they are zeros, your answer will still be 73, making your final answer 20,073.

Hope this helps!

You might be interested in

A cylindrical tank is filled with 66.85 mm3 of fuel. The area of the base of the cylinder is 15 mm2. What is the height of the f

Rashid [163]

Volume = (Area of the base)x(Height)
66.85 = 15(H)
66.85/15 = H
H = 4.4567

The height is 4.4567mm.

3 0

4 years ago

An 18 ounce box of cereal costs $2.76. How many ounces should a box priced at $2.07 contain?

Darya [45]

First you find the unit rate. (Divide 2.76 by 18)
You will find out that each ounce costs $0.15

Then divide 2.07 by 0.15.

The answer is 13.8 ounces.

5 0

3 years ago

Memory module consists of 9 chips. The device is designed with redundancy so that it works even if one of its chips is defective

soldier1979 [14.2K]

Answer:

a) $P[C]=p^n$

b) $P[M]=p^{8n}(9-8p^n)$

c) n=62

d) n=138

Step-by-step explanation:

Note: "Each chip contains n transistors"

a) A chip needs all n transistor working to function correctly. If p is the probability that a transistor is working ok, then:

$P[C]=p^n$

b) The memory module works with when even one of the chips is defective. It means it works either if 8 chips or 9 chips are ok. The probability of the chips failing is independent of each other.

We can calculate this as a binomial distribution problem, with n=9 and k≥8:

$P[M]=P[C_9]+P[C_8]\\\\P[M]=\binom{9}{9}P[C]^9(1-P[C])^0+\binom{9}{8}P[C]^8(1-P[C])^1\\\\P[M]=P[C]^9+9P[C]^8(1-P[C])\\\\P[M]=p^{9n}+9p^{8n}(1-p^n)\\\\P[M]=p^{8n}(p^{n}+9(1-p^n))\\\\P[M]=p^{8n}(9-8p^n)$

$P[M]=(0.999)^{8n}(9-8(0.999)^n)=0.9$

This equation was solved graphically and the result is that the maximum number of chips to have a reliability of the memory module equal or bigger than 0.9 is 62 transistors per chip. See picture attached.

d) If the memoty module tolerates 2 defective chips:

$P[M]=P[C_9]+P[C_8]+P[C_7]\\\\P[M]=\binom{9}{9}P[C]^9(1-P[C])^0+\binom{9}{8}P[C]^8(1-P[C])^1+\binom{9}{7}P[C]^7(1-P[C])^2\\\\P[M]=P[C]^9+9P[C]^8(1-P[C])+36P[C]^7(1-P[C])^2\\\\P[M]=p^{9n}+9p^{8n}(1-p^n)+36p^{7n}(1-p^n)^2$

We again calculate numerically and graphically and determine that the maximum number of transistor per chip in this conditions is n=138. See graph attached.

6 0

4 years ago

What’s<br> -2x+y= -14 <br> 6x + 5y = -6

Katarina [22]

Hey, here's a pic of it ! hope this helps !

p.s., photomath is a good app for algebraic answers with work, you should check it out (:

3 0

3 years ago

You have 40 minutes to exercise at the gym, and you want to burn 300 calories total using both machines. How much time should yo

Yuri [45]

30 minutes on the first machine. 10 minutes on the second

5 0

4 years ago