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nalin [4]
3 years ago
13

HELP PLEASE FAST!!!!!!!

Mathematics
1 answer:
snow_lady [41]3 years ago
3 0

Answer:

Takeru bought 72 eggs and baked  18 soufflés .

Step-by-step explanation:

Let

e = number of eggs Takeru bought.

s = number of soufflés Takeru bought.

Then we know that Takeru  bought 4 times as many eggs as he baked soufflés, therefore:

e=4s.

And since for every soufflés Takeru bakes he uses 3 eggs, and after backing he has 18 eggs left, we have:

e-3s=18 <em>This says that from e eggs there are 18 eggs left after Tkeru used three eggs for each soufflé.</em>

Now we have two equations:

(1).e=4s.

(2).e-3s=18

We put the value of e from equation (1) into equation (2) and solve for s and get:

s=18

e=4s=4*18=72.

Thus

Number of eggs Takeru bought = 72.

Number of soufflés Takeru bought = 18.

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Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete
icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Fleet of 17 means that N = 17

4 are carrying nucleas weapons, which means that k = 4

9 are destroyed, which means that n = 9

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

P(X > 1) = 1 - P(X \leq 1)

In which

P(X \leq 1) = P(X = 0) + P(X = 1)

So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294

P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412

P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0
2 years ago
I need help on this question plz
densk [106]
(12,-6) (4,-2)

4/12= 1/3
-2/-6= 1/3

the scale factor is 1/3







6 0
2 years ago
Rearrange the formula to make x the subject:<br> A = 1/2xy
Maslowich

Answer:

x = \frac{2A}{y}

Step-by-step explanation:

Given

A = \frac{1}{2} xy

Multiply both sides by 2 to clear the fraction

2A = xy ( divide both sides by y )

\frac{2A}{y} = x

3 0
3 years ago
Ryan is planning a party for 138 people.Paper plates are sold in packs of twelve.How many packs of paper does ryan need to buy s
Artyom0805 [142]

Divide the number of people by the number of plates per pack:

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He need to buy 12 packs of plates to have enough.

6 0
3 years ago
Please help im in a rush
serious [3.7K]

Answer:

a)

Surface Area: 172 cm^2

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b) Surface Area

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Step-by-step explanation:

6 0
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