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3 years ago

What is the independent and dependent variable

Mathematics

2 answers:

Orlov [11]3 years ago

3 0

S is independent variable and T is the dependent variable

Furkat [3]3 years ago

3 0

T is the dependent variable and s is the independent variable.

Since the number of books depends on the number of students, the books depends on the number of students.

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For her 1st birthday, Ruth's grandparents invested $1000 in an 18-year certificate for her that pays 10% compounded annually. Ho

Lyrx [107]

Answer:

The certificate will be worth $5,559.92 on Ruth's 19th birthday.

Step-by-step explanation:

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

$P = 1000, n = 1, r = 0.1, t = 18$

$A = 1000(1 + \frac{0.1}{1})^{1*18}$

$A = 5559.92$

The certificate will be worth $5,559.92 on Ruth's 19th birthday.

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3 years ago

What is the best estimate for 34 times 57

daser333 [38]

It would be 1,800 because when you round 34 it becomes 30 and when you round 57 becomes 60 and 30 x 60 = 1,800. This helps me round remember "4 or less let it rest, 5 or more raise the score" hope that makes rounding easier!!

3 0

3 years ago

How do you solve and simplify

DedPeter [7]

F(x) = 1/(x+2) & g(x) = x/(x-3)

(f(x) + g(x) = 1/(x+2) + x/(x-3). Reduce to same denominator:

1/(x+2) + x/(x-3) =(x-3) + x(x-3)/(x+2).(x-3) ==> (x²+3x-3)/(x+2).(x-3)

7 0

2 years ago

How do I do this my hwk id due tomoorw

nexus9112 [7]

The perimeter of the given circle is 25.1 square cm.

Step-by-step explanation:

From the given diagram, the radius of the given circle is 4 cm.

The perimeter of any given circle is calculated by multiplying 2π with the radius. The radius of this circle is 4 cm and it says π = 3.142

The Perimeter for the given circle = 2π × r = 2 × 3.142 × 4 cm = 6.284 × 4 cm = 25.136 cm. Rounding this off to one decimal 25.136 square cm, the perimeter equals 25.1 square cm.

6 0

3 years ago

At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.5 per day on a typical Wednesday. Let

Kamila [148]

Answer:

a) Cancellations are independent and similar to arrivals.

b) 22.31% probability that no cancellations will occur on a particular Wednesday

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

Mean rate of 1.5 per day on a typical Wednesday.

This means that $\mu = 1.5$

(a) Justify the use of the Poisson model.

Each wednesday is independent of each other, and each wednesday has the same mean number of cancellations.

So the answer is:

Cancellations are independent and similar to arrivals.

(b) What is the probability that no cancellations will occur on a particular Wednesday

This is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-1.5}*(1.5)^{0}}{(0)!} = 0.2231$

22.31% probability that no cancellations will occur on a particular Wednesday

5 0

3 years ago