Answer:
d. Yes. All conditions for inference have been met.
Step-by-step explanation:
A study was conducted to investigate the effectiveness of a new drug whether it could significantly reduce pan in people with arthritis.
From a group of 500 people with arthritis 250 were randomly assigned to receive the drug (group 1) and the remaining people were assigned a placebo (group 2).
It is given that the people in the study were selected randomly.
The pooled proportion is given by
Pe = no. of people who reported pain relief in both groups/total number of people
Pe = (225 + 150)/500
Pe = 375/500
Pe = 0.75
Now let us check the condition np ≥ 10
250*0.75
187.5 ≥ 10
Satisfied
Now let us check the condition n(1 - p) ≥ 10
250(1 - 0.75)
250*0.25
62.5 > 10
Satisfied
Therefore, all conditions for inference have been met option d is the correct option.
Answer:
26000000
Step-by-step explanation:
10+14/-7×-8=26
26×1000000=26000000
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First, find the z-score:
z = (value - mean) / sdev
= (275 - 280) / 15
= - 0.33
In order to use a standard normal table, we need a positive z-score:
P(z < -0.33) = 1 - P(z < 0.33)
Looking at the table, we find P(z < 0.33) = 0.6293
Therefore:
P(z < -0.33) = 1 - 0.6293 = 0.3707
Hence, you have a probability of about 37% <span>that a randomly selected pregnancy lasts less than 275 days.</span>
Ok so put the a factors together first
4a + 19 - 3a - 7 = a + 19 + 7
a + 19 + 7 = a + 26
Answer:
Mid-point: 
Equation: 
Step-by-step explanation:
To find the mid-point of AB, simply add up their x and y coordinates and divide by 2 respectively to find their middle point.
To find the perpendicular slope that passes through the mid-point, we need to know the slope between AB first.
Slope of AB: 
= 
= 
= 
Multiplying slopes that are perpendicular with each other always results in -1.
By the point slope form:
Plug in the coordinates of the mid-point:
Equation:
