What is the amount of material required to creat a Toblerone box? The triangular base is equilateral.

A bag contains green yellow and black marbles out of the 100 marbles in the bag 35 marbles are green and 15 or yellow what perce

bogdanovich [222]

Step-by-step explanation:

well, there are 100 marbles

there are 35 and 15 already known which equals to 50

therefore 50% of the bag is black marbles

3 0

3 years ago

Light bulbs manufactured at a certain factory have a 3% probability of being defective. what is the probability that 5 out of a

lbvjy [14]

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that 5 out of a shipment of 30 will be defective is 0.001617.

<h3>What is Binomial distribution?</h3>

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

The probability of the bulb being defective is 3%(0.03) and the probability of the bulb not being defective is 97%(0.97).

Now, it is needed to be found that the probability that 5 out of a shipment of 30 will be defective can be written as,

P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

P(x=5) = ³⁰C₅ (0.03)⁵ (0.97)²⁵

P(x=5) = 0.001617

Hence, the probability that 5 out of a shipment of 30 will be defective is 0.001617.

Learn more about Binomial Distribution:

brainly.com/question/14565246

#SPJ2

3 0

2 years ago

One light-year equals 5.9 x 1012 miles. How many light-years are in 6.79

inna [77]

Option B

The number of light years in $6.79 \times 10^{16}$ miles is 11508 light years

<em><u>Solution:</u></em>

Given that,

One light-year equals 5.9 x 10^12 miles

Therefore,

$1 \text{ light year } = 5.9 \times 10^{12} \text{ miles }$

To find: Number of light years in $6.79 \times 10^{16}$ miles

Let "x" be the number of light years in $6.79 \times 10^{16}$ miles

Then number of light years in $6.79 \times 10^{16}$ miles can be found by dividing $6.79 \times 10^{16}$ miles by miles in 1 light year

$\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79 \times 10^{16}}{5.9 \times 10^{12}}\\\\\text{Use the law of exponent }\\\\\frac{a^m}{a^n} = a^{m-n}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79}{5.9} \times 10^{16-12}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 1.1508 \times 10^4\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 11508$

Thus number of light years in $6.79 \times 10^{16}$ miles is 11508 light years

3 0

3 years ago

“Express each of the following numbers using scientific notation “

avanturin [10]

11. 1.97 * 10^-6

12. 3.5 * 10^-3

13. 2.28 * 10^13

14. 5.302 * 10^-3

15. 1.64 * 10^1

16. 9.85 * 10^-1

Can you see the pattern?

Try the rest yourself

5 0

3 years ago

Arrange the digits 4, 6, 9, 2, 3 in the dividend and the digits 2, 5,2 in the divisor to give the greatest possible quotient.

Leviafan [203]

To get the greatest possible quotient, you need the biggest possible
dividend and the smallest possible divisor.

96,432 divided by 225 = 428.5666... <== greatest possible

23,469 divided by 522 = 44.9597... <== smallest possible

7 0

3 years ago