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jeka94
3 years ago
6

Suppose a2 + 4a + 3 represents the area of a rectangle. What is the perimeter of that rectangle? A) 2a + 4 B) 4a + 8 C) 6a + 12

D) 8a + 16
Mathematics
1 answer:
allsm [11]3 years ago
5 0
A² + 4a + 3
(a+3)(a+1)         This is the length and the width of the rectangle.

Perimeter = length + length + width + width
P = (a+3) + (a+3) + (a+1) + (a+1)
P = a + a + a + a + 3 + 3 + 1 + 1
P = 4a + 6 + 2
P = 4a + 8

B) 4a + 8 
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3 years ago
sofia has to walk 1 2/25 miles to school. she has already walk 2/3 of a mile. how much farther dose she need to walk ? help me p
love history [14]

Answer:

She need to walk 31/75 miles to school.

Step-by-step explanation:

It is given that,

Sofia has walk 1\dfrac{2}{25} miles to school. She has already walk \dfrac{2}{3} of a mile.

We need to find how much farther does she need to walk.

Total distance =  1\dfrac{2}{25} =\dfrac{27}{25}

Let she has to walk x distance to school.

x=\dfrac{27}{25}-\dfrac{2}{3}\\\\=\dfrac{31}{75}

Hence, she need to walk 31/75 miles to school.

7 0
3 years ago
Six more than the quotient of a number b and 45 is grater than 4
Wewaii [24]

(b:45)+6>4\qquad\text{subtract 6 from both sides}\\\\\dfrac{b}{45}>-2\qquad\text{multiply both sides by 45}\\\\\boxed{b>-90}

6 0
3 years ago
A forester studying the effects of fertilization on certain pine forests in the Southeast is interested in estimating the averag
ahrayia [7]

Answer:

P(-2 \leq \bar X -\mu \leq 2)

If we divide both sides by \frac{\sigma}{\sqrt{n}} we got:

P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})

And we can use the normal distribution table or excel to find the probabilites and we got:

P(-1.5 \leq Z \leq 1.5)= P(ZStep-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the area of a population, and for this case we know the distribution for X is given by:

X \sim N(M,4)  

Where \mu=M and \sigma=4

We select a a sample of n =4 and since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

P(-2 \leq \bar X -\mu \leq 2)

If we divide both sides by \frac{\sigma}{\sqrt{n}} we got:

P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})

And we can use the normal distribution table or excel to find the probabilites and we got:

P(-1.5 \leq Z \leq 1.5)= P(Z

8 0
3 years ago
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