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3 years ago

Please help i will mark you brainiest

Mathematics

1 answer:

Ugo [173]3 years ago

4 0

Answer:

1,2,4

Step-by-step explanation:

1: The temperature should be decreasing in an exponential rate as the coffee is hot

2: radioactive element should keep decreasing over years

3: should be increasing rate

4: 'popularity is declining' indicates it's a decay

5: 'growing community' indicated it's increasing

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Factorize a)a²x+2ax-3x+5a²+10a-15 b)(a+b)(a-b)-a+b c)x³-x²+x+x²y-xy+y

alexandr1967 [171]

Answer:

(a)x(a^2+2a-3)+5(a^2+2a-3)

3 0

3 years ago

Of the 32 students in a class, 18 play the violin, 16 play the piano, and 7 play neither.

german

Answer:

(a)9

(b)I. 0.28125

II. 0.46875

III. 0.25

Step-by-step explanation:

There are a total of 32 students, therefore the number of elements in the Universal set, n(U)=32

$1$8 play the violin, n(V)=18\\16 play the piano, n(P)=16\\ 7 play neither, n(P \cup V)' =7$

(a)The Venn diagram is attached below.

$n(U)=n(V)+n(P)-n(V \cap P)+ n(P \cup V)'\\32=18+16+7-n(V \cap P)\\32=41-n(V \cap P)\\n(V \cap P)=41-32\\n(V \cap P)=9\\$

Therefore, 9 students play both the violin and piano.

(b)

I. Probability that the student plays the violin but not the piano

Number of Students who play violin only =18-x=18-9=9

$P(V \cap P') = \dfrac{n(V \cap P')}{n(U)}\\= \dfrac{9}{32}\\=0.28125$

ii.Probability that the student does not play the violin

Number of Students who does not play violin only =17-x+7=17-9+7=15

P(does not play violin only)

$= \dfrac{15}{32}\\=0.46875$

iii.Probability that the student plays the piano but not the violin

Number of Students who play piano only =17-x=17-9=8

$P(V' \cap P) = \dfrac{n(V' \cap P)}{n(U)}\\= \dfrac{8}{32}\\\\=0.25$

3 0

3 years ago

For every apple Lisa buys at the store, she buys three bananas, If Lisa buys 7 apples at the store, How many Bananas will she bu

Eduardwww [97]

Answer:

Step-by-step explanation:

1:3

7:21

5 0

3 years ago

Factor 10b-25b^3 please answer asap

fredd [130]

Answer:

5b(2 - 5b²)

Step-by-step explanation:

Simply take out GCFs to factor out the expression:

Step 1: Factor out GCF of 5

5(2b - 5b³)

Step 2: Factor out GCF of b

5b(2 - 5b²)

We can't factor the quadratic any further so that is our final answer.

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3 years ago

One hour is equal to how many seconds

KIM [24]

Answer:

3,600

Step-by-step explanation:

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