Answer:
Step-by-step explanation:
Given that Advandia is a drug used to treat diabetes, but it may cause an increase in heart attacks among a population already susceptible.
Sample size n =1`456
Sample proportion of persons having heart attack p1= 27/1456 = 0.0186
II sample
Size = 2895
p2 = sample proportion = 41/2895 = 0.0142
a) Not matched pair data but independent proportions
b)
Step 1: 
(right tailed test at 5% significance level)
Step 2: Test statistic z = 1.0995
Step 3: p value = 0.13567
Step 4: Since p >0.05 accept null hypothesis.
There is no evidence to suggest that there is a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.
Step 5:
Answer:
y-intercept of the line MN = 2
Standard form of the equation ⇒ x + y = 2
Step-by-step explanation:
Coordinates of the ends of a line MN → M(-3, 5) and N(2, 0)
Slope of a line = 
= 
= -1
Equation of the line MN passing through (-3, 5) and slope = -1,
y - 5 = (-1)(x + 3)
y - 5 = -x - 3
y = -x + 2
This equation is in the y-intercept form,
y = mx + b
where m = slope of the line
b = y-intercept
Therefore, y-intercept of the line MN = 2
Equation in the standard form,
x + y = 2
Answer:
- rate of the boat in still water = 6.5 miles / hour
- rate of the current = 2.5 miles / hour.
Explanation:
<u>1) Name the two variables:</u>
- b: rate of the boat in still water:
With that, the net rates of the boat down the river and upstrean are:
<u>2) Now set the equations for the distance as a function of the times and the rates:</u>
- downstream: 18 miles = (b + c) × 2 hours
- upstream: 18 miles = (b - c) × 4.5 hours
<u>3) Set the system of equations:</u>
- 18 = 2(b + c) ⇒ 9 = b + c . . . Equation (1)
- 18 = 4.5 (b - c) ⇒ 4 = b - c . . . Equation (2)
<u>4) Solve the system by </u><u>elimination</u><u>:</u>
- Add equations (1) and (2): 9 + 4 = 2b
- Divide both sides by 2: 13/2 = b
- Replace b with 6.5 in equation (2) and solve:
4 = 6.5 - c ⇒ c = 6.5 - 4 = 2.5
<u>5) Results:</u>
- b = rate of the boat in still water = 6.5 miles / hour
- c = rate of the current = 2.5 miles / hour.
Answer:
Money Market Instruments
Step-by-step explanation:
Money market instruments can be defined as a form of securities that help to provide businesses, banks as well as the government with large sum of amounts of low-cost capital for a short period of time because the financial markets tend to meet longer-term cash needs while Businesses tend to need short-term cash due to the fact that payments for goods and services sold might take months which is ‘Money Market’ are often been used to help to define a market where short-term financial assets are traded because they aim to increase the financial liquidity of a businesses company's or organization's.
The best recommendation to the customer is to invest the $100,000 in: MONEY MARKET INSTRUMENTS
The side opposite to angle B is the side that does not contact with angle B.
In this attached image, you can see better that sides AB and BC is in contact with angle B. So, the opposite side to angle B is AC.
Therefore, the lenght of the side opposite to angle B is 4 units.
