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inna [77]
3 years ago
7

Factorise fully p^3 + p^2

Mathematics
1 answer:
nikklg [1K]3 years ago
3 0

Answer:

\huge\boxed{p^3+p^2=p^2(p+1)}

Step-by-step explanation:

p^3+p^2\\\\p^3=p^{2+1}=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)

Used:

a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac

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A bacterial growth starts with 234 bacteria and doubles in population every 30 minutes.
Elina [12.6K]

Answer:

The rate of exponential growth of a bacterial culture is expressed as generation time, also the doubling time of the bacterial population. Generation time (G) is defined as the time (t) per generation (n = number of generations). Hence, G=t/n is the equation from which calculations of generation time (below) derive

Step-by-step explanation:

5 0
3 years ago
Find the slope of a line that passes through the given points:<br> (5.1) and (8,3)
baherus [9]

Answer:

2/3

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

3-1/8-5

2/3

Best of Luck!

7 0
3 years ago
Can you guys plz help me
lesya [120]
It should be B. 15.
I think ..
7 0
3 years ago
A random sample of 5 homes in Newberry, Florida had a mean of $169,900 and a standard deviation of $21,756. Construct a 95% conf
stiv31 [10]

Answer:

D. (142886, 196914).

Step-by-step explanation:

To solve for this question, we would use t score instead of z score. The reason is because, our sample size is small.

The formula for Confidence Interval =

C.I = Mean ± t score × standard deviation/√n

n = 5 samples

Degrees of freedom = n - 1 = 5 - 1 = 4

The t score for a 95% confidence interval with degrees of freedom 5 is : 2.776

Hence,

Confidence Interval =

169,900 ± 2.776 × 21,756/√5

169,900 ± 2.776 × 9.7295789837

169, 900 ± 27009.311259

Confidence Interval

169,900 - 27009

= 142886

169, 900 + 27009.311259

= 196914

Hence, the confidence interval = (142886, 196914)

Option D is the correct answer

7 0
3 years ago
the sum of independent normally distributed random variables is normally distributed with mean equal to the sum of the individua
vazorg [7]

The probability that x is between 420 and 460 is 0.25778

The sum of independent normally distributed random variables is normally distributed with mean equal to the sum of the individual means and variance equal to the sum of the individual variances.

so, the mean would be,

μ = 100 + 150 + 200

μ = 450

and standard deviation would be,

σ = 15+ 20 + 25

σ = 60

We need to find the probability that x is between 420 and 460.

P(420 < x < 460)

= P( 420 -  μ < x -  μ < 460 -  μ)

= P((420 -  μ)/σ < (x - μ)/σ < (460 -  μ)/σ)

= P((420 -  450)/60 < Z < (460 -  450)/60)

= P (-1/2 < Z < 1/6)

= P(-0.5<x<0.167)

= 0.25778

Therefore, the probability is P(420 < x < 460) = 0.25778

Learn more about the probability here:

brainly.com/question/11234923

#SPJ4

8 0
1 year ago
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