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Olegator [25]
3 years ago
9

Problem 1:

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0

Answer:

A = 2

D = 1

B = 4

C = 3

Step-by-step explanation:

Height of water in bathtub is a function of water in bathtub.

P(t) = w ; t = time ; w = height of water.

A: P (0)=0 ; At time, t = 0 ; height of water = 0, there is no water on bathtub

2: The bathtub starts out with no water.

D: P (20) = 0 ; At time, t = 20 ; w = 0 ;the tub is empty.

1: After 20 minutes, the bathtub is empty.

B:P (4)= 10 `; At t = 4, w = 10 ; height of water in bath tub is 10

4: The height of the water is 10 inches after 4 minutes

C:P (10) = 4 ; At t = 10, w =4, height of water in bathtub = 4 inches

3: After 10 minutes, the height of the water is 4 inches.

.

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A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he
UkoKoshka [18]

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

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

For this problem, we have that:

We dont know the true proportion, so we use \pi = 0.5, which is when we are are going to need the largest sample size.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

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

0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.04\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.04}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2

n = 600.25

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

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

0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.02\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.02}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2

n = 2401

The minimum sample size is 2401.

4 0
3 years ago
Determine whether each mapping represents a function. Explain your reasoning.
FinnZ [79.3K]

Answer:

The first picture is a function and the second picture is not.

Step-by-step explanation:

Reason - In the first picture, there is no repeating value of x. In other words, every x value has a y value. However, in the second picture, the x value, 2 goes to 2 and -3.

4 0
2 years ago
Describe the relationship between base 4 and exponent 3
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Is there any options?
4 0
3 years ago
The graph of this system of equations is used to solve 4x2-3+6=2x4-9x3+2x What represents the solution set?
Vilka [71]

ANSWER

x coordinates of the intersection points

EXPLANATION

The given system of equations is:

y = 4 {x}^{2}  - 3x + 6

y = 2 {x}^{4}  - 9 {x}^{3}  + 2x

We want to use the graph of these functions to solve

4 {x}^{2}  - 3x + 6 =  2 {x}^{4}  - 9 {x}^{3}  + 2x

The point of the intersection of the graph gives the solution to the simultaneous equation above.

Hence the x-coordinates of the intersection points gives the solution set of

4 {x}^{2}  - 3x + 6 =  2 {x}^{4}  - 9 {x}^{3}  + 2x

The last choice is correct.

3 0
2 years ago
Read 2 more answers
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jek_recluse [69]

Answer:

5.98

Step-by-step explanation:

6 0
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