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2 years ago

What of the following exponential functions is represented by the data in the table?

Mathematics

1 answer:

patriot [66]2 years ago

7 0

Answer:

f(x) = ( 1/3) ^ (x)

Step-by-step explanation:

The function is

f(x) = (1/3) ^ (x)

When x = 1 f(x) = 1/3

when x=2 f(x) = 1/9

When x = -1 f(x) = ( 1/3) ^ -1 = 3/1 =3

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Which of the following coordinates are not correctly named based on the image?

timama [110]

Answer:

Hi, there the answer is (4,2)

Step-by-step explanation:

The reason is that 4 is the y-axis and 2 is the x-axis and

the rule is x is first then y

The correct format for writing this it is supposed to be (2,4).

Therefore, your answer will (4,2)

3 0

3 years ago

Ashley took out a $1500 loan and promises to pay it back with 5% interest after 18 months. How much interest would she have to p

babymother [125]

Answer:

75.00

Step-by-step explanation:

1500*0.05

because 5% is her interest you convert 5% into a decimal = 0.05

then you multiply 1500 by 0.05 and you get 75.00

5 0

3 years ago

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p

Alekssandra [29.7K]

Using the z-distribution and the formula for the margin of error, it is found that:

a) A sample size of 54 is needed.

b) A sample size of 752 is needed.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so $z = 1.645$ .

Item a:

The estimate is $\pi = 0.213 - 0.195 = 0.018$ .

The sample size is <u>n for which M = 0.03</u>, hence:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}$

$0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}$

$\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2$

$n = 53.1$

Rounding up, a sample size of 54 is needed.

Item b:

No prior estimate, hence $\pi = 0.05$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}$

$0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}$

$\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2$

$n = 751.7$

Rounding up, a sample of 752 should be taken.

A similar problem is given at brainly.com/question/25694087

5 0

2 years ago

Insulin is used to regulate sugar in the bloodstream. A dose of 10 units breaks down by about 5% each minute after injection. Ho

s344n2d4d5 [400]

Answer:

Explanation:

• The initial dose of the Insulin = 10 Units

The insulin breaks down by about 5% each minute, therefore:

• The decay rate, r= 5%

We want to determine the time it will take for the remaining dosage to be half (5 units) of the original dose.

We use the exponential decay function:

$N(t)=N_o(1-r)^t$

Substituting the given values, we have:

$\begin{gathered} 5=10(1-0.05)^t \\ \frac{5}{10}=0.95^t \\ 0.5=0.95^t \end{gathered}$

To solve for t, we change to logarithm form.

8 0

1 year ago

What is the gcf of the numerator and denominator of the rational expression

Roman55 [17]

$\frac{3x-15}{x^2-x-20} = \frac{3(x-5)}{(x+4)(x-5)}$

The only common factor is (x -5).

Selection A is appropriate.

5 0

3 years ago