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1 year ago

Which is the rate of change for the interval between 3 and 6 on the x-axis? 0-2

Mathematics

1 answer:

Hunter-Best [27]1 year ago

8 0

Image is missing, so i have attached it.

Answer:

Rate of change = 2

Step-by-step explanation:

From the image attached, we are given a parabola which opens upwards with many points marked on the curve.

We are asked to find the rate of change for the interval between 3 and 6 on the x axis.

Now, rate of change of any function f(x) from a to b is given by the formula ;

Rate of change = [f(b) - f(a)]/(b - a)

For this question, a = 3 and b = 6

f(3) is simply the y-value when x is 3. On the graph, f(3) = -2

Similarly,f(6) = 4

Thus;

Rate of change = [4 - (-2)]/(6 - 3)

Rate of change = 6/3

Rate of change = 2

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A sample of 1714 cultures from individuals in Florida diagnosed with a strep infection was tested for resistance to the antibiot

Damm [24]

Answer:

a) $p$ represent the real population proportion of people who showed partial or complete resistance to the antibiotic

b) $\hat p=\frac{973}{1714}=0.568$ represent the estimated proportion of people who showed partial or complete resistance to the antibiotic

c) We are confident (95%) that the true proportion of individuals in Florida diagnosed with a strep infection was tested for resistance to the antibiotic penicillin present partial or complete resistance to the antibiotic is between 54.5% to 59.1%.

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

Part a

Description in words of the parameter p

$p$ represent the real population proportion of people who showed partial or complete resistance to the antibiotic

$\hat p$ represent the estimated proportion of people who showed partial or complete resistance to the antibiotic

n=1714 is the sample size required

$z_{\alpha/2}$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Part b

Numerical estimate for p

In order to estimate a proportion we use this formula:

$\hat p =\frac{X}{n}$ where X represent the number of people with a characteristic and n the total sample size selected.

$\hat p=\frac{973}{1714}=0.568$ represent the estimated proportion of people who showed partial or complete resistance to the antibiotic

Part c

The confidence interval for a proportion is given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.568 - 1.96 \sqrt{\frac{0.568(1-0.568)}{1714}}=0.545$

$0.568 + 1.96 \sqrt{\frac{0.56(1-0.56)}{1714}}=0.591$

And the 95% confidence interval would be given (0.545;0.591).

We are confident that about 54.5% to 59.1% of individuals in Florida diagnosed with a strep infection was tested for resistance to the antibiotic penicillin present partial or complete resistance to the antibiotic.

5 0

2 years ago

A species of horned beetle has a (starting) population size of 4000 individuals. Every month, 170 individuals are born. However,

erma4kov [3.2K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Starting population = 4000

Addition per month = 170

decline on population per month = 70

Increase rate in population per month (dt) :

Starting population = 4000

Number of births per month = 170

However, the population declines by 70 individuals each month

Hence,

Number of births - number of deaths(d) = 70

170 - d = - 70 ( decline?

170 + 70 = d

240 = d

d = number of deaths

Per capita death :

Total number of deaths per. Month / starting population

= 240 / 4000

= 0.06

8 0

1 year ago

This table represents a proportional relationship. Use the table to identify the constant of proportionality between the ratio o

VARVARA [1.3K]

Answer:

It would be 12...

Step-by-step explanation:

6 0

2 years ago

According to New Jersey Transit, the 8:00 a.M. Weekday train from Princeton to New York City has a 90% chance of arriving on tim

ser-zykov [4K]

Digit numbers.

Let the numbers 00 to 89 represent that the train is on time.

Let the numbers between 90 and 99 represent that the train is late.

Randomly select 6 numbers, with repetition allowed.

Count the number of times the train is late.

Repeat this simulation multiple times.

You will most likely obtain a result of between 0 and 2 times that the train is late.

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1 year ago

What is the true solution to In 20+In 5= 2 In x?<br><br>#31<br>

Neko [114]

Answer:

ln20+ln5=2lnx

ln(20x5)=lnx^2

ln100=1nx^2

100=x^2

square root

x=10

Hope This Helps!

5 0

2 years ago