Answer:
= 0.714 (in decimal fraction)
The probability that the death in 2014 was not caused by heart diseases or Unintentional Injuries = 0.714
= 0.714
Step-by-step explanation:
Let's interpret the question our way ti solve it .
Total deaths in 2014:
2626418
Death caused by Heart Diseases:
614348
Death caused by Unintentional Injuries:
750401
Therefore, we can deduced that, the number of death not caused by Heart Diseases or Unintentional Injuries = Total deaths in 2014 minus sum of the recorded death.
= 2626418 - ( 614348 + 136053)
= 2626418 - 750401
= 1876017.
Now, the probability that there were death in 2014 is 1 (one)
To find the probability that death we're not caused by heart diseases or Unintentional Injuries:
= 1 - Pr (Death Caused by heart diseases) + Pr (Death causes by Unintentional Injuries)
= 1 - (0.234 + 0.052)
= 1 - 0.286
= 0.714
To Check:
= 1876017 / 2626418
Divide to the lowest term
=0.714
Answer:
(3 oz ; 4oz)
Step-by-step explanation:
Given that :
Mean = 3.5 oz
Standard deviation = 0.5 oz
According to the empirical rule ; 68% is 1 standard deviation from the mean.
Hence, the interval that would represent the middle 68% will be:
(3.5 oz - 0.5 oz) ; (3.5 oz + 0.5oz)
(3 oz ; 4oz)
Answer: 0.935
Explanation:
Let S = z-score that has a probability of 0.175 to the right.
In terms of normal distribution, the expression "probability to the right" means the probability of having a z-score of more than a particular z-score, which is Z in our definition of variable Z. In terms of equation:
P(z ≥ S) = 0.175 (1)
Equation (1) is solvable using a normal distribution calculator (like the online calculator in this link: http://stattrek.com/online-calculator/normal.aspx). However, the calculator of this type most likely provides the value of P(z ≤ Z), the probability to the left of S.
Nevertheless, we can use the following equation:
P(z ≤ S) + P(z ≥ S) = 1
⇔ P(z ≤ S) = 1 - P(z ≥ S) (2)
Now using equations (1) and (2):
P(z ≤ S) = 1 - P(z ≥ S)
P(z ≤ S) = 1 - 0.175
P(z ≤ S) = 0.825
Using a normal distribution calculator (like in this link: http://stattrek.com/online-calculator/normal.aspx),
P(z ≤ S) = 0.825
⇔ S = 0.935
Hence, the z-score of 0.935 has a probability 0.175 to the right.
Answer: The length of AB = 8 units
Step-by-step explanation:
Given: In parallelogram ABCD, Sides A B and D C are parallel.
The length of AB is 4q minus 8 and the length of DC is q + 4.
Since opposite sides of parallelogram is parallel and equal.
So 
Length of AB = 4q-8=4(4)-8=16-8=8 units
Hnece, the length of AB = 8 units
