In which quadrant is the point (4, -5)?

2. The parameter "b": Compare the graphs of several different exponential growth functions in

BaLLatris [955]

Answer:

See explanation

Step-by-step explanation:

Required

The significance of "b" in exponential function

An exponential function is represented as:

$y = ab^x$

In the above equation, parameter "b" is the rate of the function

In other words, the constant multiplier of the function.

Take for instance;

$y = 2*4^x$

By comparison:

$b = 4$

Another instance is:

$y = 2(-4)^x$

By comparison

$b = -4$

<u>Other significance of parameter b are:</u>

If $b > 0$ then b represents a growth factor

If $b < 0$ the b represents the factor of decay

$b \ne 0$ i.e. b is never 0

3 0

3 years ago

A driver's education course compared 1,500 students who had not taken the course with 1,850 students who had. Of those students

aivan3 [116]

Answer:

P-value is less than 0.999995 .

Step-by-step explanation:

We are given that a driver's education course compared 1,500 students who had not taken the course with 1,850 students who had.

Null Hypothesis, $H_0$ : $p_1 = p_2$ {means students who took the driver's education course and those who didn't took have same chances to pass the written driver's exam the first time}

Alternate Hypothesis, $H_1$ : $p_1 > p_2$ {means students who took the driver's education course were more likely to pass the written driver's exam the first time}

The test statistics used here will be two sample Binomial statistics i.e.;

$\frac{(\hat p_1 - \hat p_2)-(p_1 - p_2)}{\sqrt{\frac{\hat p_1(1- \hat p_1)}{n_1} + \frac{\hat p_2(1- \hat p_2)}{n_2} } }$ ~ N(0,1)

Here, $\hat p_1$ = No. of students passed the exam ÷ No.of Students that had taken the course

$\hat p_1$ = $\frac{1150}{1850}$ Similarly, $\hat p_2$ = $\frac{1440}{1500}$ $n_1$ = 1,850 $n_2$ = 1,500

Test Statistics = $\frac{(\frac{1150}{1850} -\frac{1440}{1500})-0}{\sqrt{\frac{\frac{1150}{1850}(1- \frac{1150}{1850})}{1850} + \frac{\frac{1440}{1500}(1- \frac{1440}{1500})}{1500} } }$ = -27.38

P-value is given by, P(Z > -27.38) = 1 - P(Z > 27.38)

Now, in z table the highest critical value given is 4.4172 which corresponds to the probability value of 0.0005%. Since our test statistics is way higher than this so we can only say that the p-value for an appropriate hypothesis test is less than 0.999995 .

6 0

3 years ago

Your company gives you a cell phone plan that allows you 600 minutes to talk per month. So far This month, you have used 330 min

Mars2501 [29]

33 per day . divide 330 and 10

8 0

3 years ago

Maria tests the effectiveness of an anti-depression drug by recruiting 500 participants and randomly assigning half e participan

Nady [450]

Answer:

D. The small p value and the small effect size suggest that the observed difference between the drug placebo groups are likely to be due to sampling error. This study should be replicated with a larger sample size.

Step-by-step explanation:

The p value is determined for any test before making a conclusion. If the p-value is smaller than critical value then we reject the null hypothesis which means that drug is not effective for the reducing depression. A very small p-value usually lesser than 0.05 indicates strong evidence against the null hypothesis.

6 0

3 years ago

What are the parallel sides of a trapezoid

saul85 [17]

Answer:

Parallel means that the lines will never cross. If we look at a traditional trapezoid, the top side and the bottom side are straight lines that will never cross one another. The left and right sides are slanted towards one another, to they are not parallel.

Hope this helped. : )

3 0

3 years ago