Step-by-step explanation:
1. B is true
2 . I don't know
3.
Answer:
a) 229 and 305 days
b) 229 days or less
c) 305 days or more
Step-by-step explanation:
The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 267
Standard deviation = 19
(a) Between what values do the lengths of the middle 95% of all pregnancies fall?_____________and___________days
By the Empirical rule, 95% of all pregnancies fall within 2 standard deviations of the mean.
So
267 - 2*19 = 229 days
to
267 + 2*19 = 305 days
(b) How short are the shortest 2.5% of all pregnancies?______days or less
95% of all pregnancies fall within 2 standard deviations of the mean. The other 5% are more than 2 standard deviations from the mean. Since the distribution is symmetric, 2.5% is more than 2 standard deviations below the mean(shortest 2.5%) and 2.5% is more than 2 standard deviations above the mean(longest 2.5%). So
267 - 2*19 = 229 days
c) How long do the longest 2.5% of pregnancies last?________days or more
Explanation in b)
267 + 2*19 = 305 days
Answer:
n=12
Step-by-step explanation:
3.3(n-8)-n=1.2
Distribute
3.3n -26.4 -n = 1.2
Combine like terms
2.3n -26.4 = 1.2
Add 26.4 to each side
2.3n -26.4+26.4 = 1.2 +26.4
2.3n = 27.6
Divide each side by 2.3
2.3n/2.3 = 27.6/2.3
n=12
Complete Question
A random sample of 300 circuits generated 13 defectives. a. Use the data to test
Versus
Use α = 0.05. Find the P-value for the test
Answer:
The p-value is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 300
The number of defective circuits is k = 13
Generally the sample proportion of defective circuits is mathematically represented as
=> 
=> 
Generally the standard Error is mathematically represented as
=> 
=> 
Generally the test statistics is mathematically represented as
=> 
=> 
From the z table the area under the normal curve to the left corresponding to -0.5317 is
Generally the p-value is mathematically represented as
=> 
=>
Answer:
the correct answer is C. 45
Step-by-step explanation:
so 1/5 means there are 5 peice to make a whole...
so if you cut an apple into 5 parts, each slice of that apple is 1/5
so if you cut 9 apples into 5 slices its just multiplication...
5*9=45
**for my visual learners** in the parenthesis are groups of 5 sticks
( ///// ) **those are your apple slices** **now just do that exactly 9 times**
( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// )
5 10 15 20 25 30 35 40 45
i really hope this helps <3
