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sergij07 [2.7K]
2 years ago
5

A. Decide whether the given examples illustrate a constant or a variable.

Mathematics
1 answer:
notka56 [123]2 years ago
5 0

Answer:

a constant is a data item whose value cannot change during the program execution just as its name implies that the value is constant a variable is a data item whose value can change during the program's execution . Thus as its name implies the the value can vary

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Please help! click to see the picture of the question !
Pie
69 square feet is the answer
4 0
3 years ago
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Decide whether or not each equation represents a proportional relationship. A.The remaining length (L) of 120-inch rope after x
bulgar [2K]

Answer and Step-by-step explanation: An equation represents proportional relationship when dividing the quantities of the equation results in a quotient that is always the same. For example, in general:

Equation: y = mx

\frac{y}{x} = m

m is a constant value, which means is the same.

A. Equation: 120 - x = L

Equation from alternative A is NOT proportional since the division of the quantities doesn't result in a constant.

B. Equation: 1.08p = t

Dividing total cost per item's price, will always give the sales tax, which is constant. So, this equation IS proportional.

\frac{t}{p}=1.08

C. Equation: x=\frac{m}{4}

This equation is proportional because dividing marbles per how much each sister gets, always gives the number of sisters:

\frac{m}{x}=4

D. Equation: V=12s^{2}

This equation is NOT proportional because side length is squared, so it is not constant linearly.

8 0
3 years ago
A city has a population of 250,000. The population is expected to decrease 1.5% annually for the next decade. Write a function t
notka56 [123]

Answer:

Population after t\ years=250000\times (0.985)^t

Step-by-step explanation:

If P is the initial amount, r is the annual rate of decrease then after t years the remaining amount(A) will be given by

A=P(1-\frac{r}{100})^t

Here P=250000, r=1.5\%\\\\A=250000(1-\frac{1.5}{100})^t\\\\A=250000(1-0.015)^t\\\\A=250000\times (0.985)^t

5 0
3 years ago
The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili
Mariana [72]

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

\lambda= 4.5

Formula:

P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}

a) No accidents occur in one week.

P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111

b) 5 or more accidents occur in a week.

P( x \geq 5) = 1-\displaystyle \sum P(x

c) One accident occurs today.

The mean number of accidents per day is given by

\lambda = \dfrac{4.5}{7} = 0.64

P(x =1)\\\\= \displaystyle\frac{0.64^1 e^{-0.64}}{1!}= 0.33747

5 0
3 years ago
If ab = 10 and a2 + b2 = 30, what is the value of<br> (a + b)^2?
Bogdan [553]
Ab=10
a^2+b^2=30
((a+b)^2=a^2+2ab+b^2=a^2+b^2+2*10=30+20=50

6 0
3 years ago
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