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Valentin [98]
3 years ago
11

Find the rate of change for: bicycling 3 mi in 15 min and 7 mi in 55 min

Mathematics
1 answer:
NikAS [45]3 years ago
6 0
Rate of change = slope. (55-15)/(7-3) = answer
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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
Solve for B in the proportion below
iogann1982 [59]

Answer:

b=15

Step-by-step explanation:

7(b+1)=2*56 (we cross multiply)

7b+7=112

7b=105

b=15

7 0
2 years ago
Helpppp please i’m struggling
IrinaK [193]
C is the correct answer
6 0
2 years ago
Write an expression for "7 less than y."
lisov135 [29]

Answer:

(y - 7)

Step-by-step explanation:

"7 less than y" means just that.... that you have 7 fewer units then the value of y.

3 0
3 years ago
I need to know instantaneous rate of change at t=2
pashok25 [27]
g(t)=4-t^2\implies g'(t)=-2t\implies g'(2)=-2\times2=-4
3 0
3 years ago
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