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4 years ago

Simplify the following expression:

Mathematics

2 answers:

Karolina [17]4 years ago

5 0

Answer:

A= 3n+m+2p

Step-by-step explanation:

inessss [21]4 years ago

4 0

Answer:

A: 3n + m + 2p

Step-by-step explanation:

4n - m + 3p + 2m - n - p

4n - n + 3p - p + 2m - m

3n + 2p + m

3n + m + 2p

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(1.1/1.2: Interpolating polynomials) Say we want to find a polynomialf(x) ofdegree 3,f(x) =a0+a1x+a2x2+a3x3,satisfying some inte

Hunter-Best [27]

(a) If

f(x) = a₀ + a₁ x + a₂ x ² + a₃ x ³

then from the given conditions we get the system of equations,

f (-1) = a₀ - a₁ + a₂ - a₃ = -1

f (1) = a₀ + a₁ + a₂ + a₃ = 2

f (2) = a₀ + 2a₁ + 4a₂ + 8a₃ = 1

f (3) = a₀ + 3a₁ + 9a₂ + 27x ³ = 5

(b) Similarly, if

f(x) = a₀ + a₁ x + a₂ x ² + a₃ x ³

then

f'(x) = a₁ + 2a₂ x + 3a₃ x ²

so that the given conditions yield the system,

f (1) = a₀ + a₁ + a₂ + a₃ = 0

f' (1) = a₁ + 2a₂ + 3a₃ = 2

f (2) = a₀ + 2a₁ + 4a₂ + 27a₃ = 3

f' (2) = a₁ + 4a₂ + 12a₃ = -1

7 0

3 years ago

Help! Thank youuuuu!!!!!

Romashka-Z-Leto [24]

Answer:

scamming outta points

Step-by-step explanation:

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3 years ago

A job fair was held at the Student Union. 25% of the students who attended received job offers. Of all of the students at the jo

vovangra [49]

Answer:

A) Both events are not independent.

B) Both events are not mutually exclusive

C) 8.33%

D) 80%

Step-by-step explanation:

A) Both events are not independent. This is because, If B occurs it means that it is very likely that J will occur as well.

B) Both events are not mutually exclusive. This is because it is possible for both events J and B to occur at the same time.

C) we want to find the probability that Joe who is not a business student will receive the job offer.

This is;

P(J|Not B) = P(J & Not B)/P(Not B)

Now,

P(J & Not B) = P(J) – (P(B) × P(J | B))

25% of the students who attended received job offers. Thus; P(J) = 0.25

40% were from the College of Business. Thus;

P(B) = 0.4

Among the business students, 50% received job offers. Thus;

P(J|B) = 0.5

Thus;

P(J & Not B) = 0.25 - (0.4 × 0.5)

P(J & Not B) = 0.25 - 0.2

P(J & Not B) = 0.05

Since P(B) = 0.4

Then, P(Not B) = 1 - 0.4 = 0.6

Thus;

P(J|Not B) = 0.05/0.6

P(J|Not B) = 0.0833 = 8.33%

D) This probability is represented by;

P(B | J) = P(B & J)/P(J)

P(B & J) = (P(B) × P(J | B)) = (0.4 × 0.5) = 0.2

P(B | J) = 0.2/0.25

P(B | J) = 0.8 = 80%

5 0

3 years ago

Please help! Solve for x.

sergij07 [2.7K]

Hello

Good Luck

Goodbye ♥

6 0

3 years ago

George has 36 cupcakes he has eight friends coming over to the party if he shares the cupcakes evenly with himself and all the g

Bogdan [553]

Answer:

Each person would get 4 cup cakes if all 8 friends attend the party.

Each person would get 12 cup cakes when 6 friends not attended the party.

Step-by-step explanation:

Given:

Total Number of cup cakes = 36

Number of friends coming to party = 8

Total number of people cakes need to distributed including George = 9

We need to find the number of cup cakes each person would get;

Solution:

Now we can say that;

number of cup cakes each person would get is equal to Total Number of cup cakes divided by Total number of people cakes need to distributed including George.

framing in equation form we get;

number of cup cakes each person would get = $\frac{36}{9}=4$

Hence Each person would get 4 cup cakes if all 8 friends attend the party.

Now Given:

Number of friends not attended the party = 6

So we can say that;

Total number of people cakes need to distributed including George = 9 - 6 = 3

So we can say that;

number of cup cakes each person would get = $\frac{36}{3} =12$

Hence Each person would get 12 cup cakes when 6 friends not attended the party.

3 0

3 years ago