All categories

3 years ago

Ratio is 4:7, smaller volume is 1, 331, find larger volume

1 answer:

3 0

If the smaller volume ratio is 4 to 1331, divide 1331 by 4 to get the multiplying factor.
1331/4 = 332.75
Now we multiply 332.75 by 7 to get our larger volume.
332.75 x 7 = 2329.25
2,329 is our larger volume.
I hope this helps!

You might be interested in

The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x

Slav-nsk [51]

pi·(7.2/2)^2·x = 2·pi·(7.2/2)^2 + 2·pi·(7.2/2)·x

x = 4.5 = 4 1/2

O = V = 1458/25·pi = 58.32·pi

3 0

3 years ago

Read 2 more answers

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

Mrs. Jones bought 6 kilograms of rice. After filling 10 containers with the same

9966 [12]

There are 514 gram rice in each container.

Step-by-step explanation:

Given,

Amount of rice = 6 kg

1 kg = 1000 g

6 kg = 6*1000 = 6000 g

Number of containers = 10

Rice left = 860 g

Let,

x be the amount in each container.

Total amount of rice - Number of containers*Amount in each container = Amount of rice left

$6000-10x=860\\6000-860=10x\\5140=10x\\10x=5140$

Dividing both sides by 10

$\frac{10x}{10}=\frac{5140}{10}\\x=514$

There are 514 gram rice in each container.

Keywords: linear equation, division

Learn more about division at:

#LearnwithBrainly

8 0

3 years ago

I need to know the whole thing please help

aleksley [76]

Answer:

a) A student travelling to school on public transport: 15/52 or 0.231

b) A student walking to school: 16/52 or 0.308

c) A student not cycling to school: 43/52 or 0.827

Step-by-step explanation:

Total people = 52

Travel Method Frequency

Public Transport 12

Car 15

Cycle 9

Walk 16

Find the relative frequency of.

The formula used will be: $Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}$

a) A student travelling to school on public transport:

Given Frequency: 12

Size of sample space: 52

Apply formula: $Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}$

Fraction = 12/52

Decimal = 0.231

b) A student walking to school

Given Frequency: 16

Size of sample space. 52

Apply formula: $Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}$

Fraction = 16/52

Decimal = 0.308

c) A student not cycling to school.

We will consider all students except those who cycle.

12+15+16 = 43

Given Frequency: 43

Size of sample space. 52

Apply formula: $Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}$

Fraction = 43/52

Decimal = 0.827

6 0

3 years ago

What is -3x-32=-2(5-4x)

san4es73 [151]

Answer:

x=−2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−3x−32=−2(5−4x)

−3x+−32=(−2)(5)+(−2)(−4x)(Distribute)

−3x+−32=−10+8x

−3x−32=8x−10

Step 2: Subtract 8x from both sides.

−3x−32−8x=8x−10−8x

−11x−32=−10

Step 3: Add 32 to both sides.

−11x−32+32=−10+32

−11x=22

Step 4: Divide both sides by -11.

−11x

−11

5 0

3 years ago

Read 2 more answers