Mrs seabrooks is buying two types of gifts cards to gives as prizes to employees at a company picnic.She will buy department sto
1 answer:
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Answer:
The standard deviation of the new data will be increased as compared to the previous standard deviation of the data.
Step-by-step explanation:
The prices are given to be : 59, 60, 65, 99, 175
Standard deviation = $49
Now, if we add or subtract any constant value to each of the terms then the standard deviation remains unchanged.
But, we add a new price in the given data that is $450
Hence, Standard deviation is calculated to be 139.5
Therefore, the standard deviation of the new data will be increased as compared to the previous standard deviation of the data.
Answer:
0.0588 = 5.88% probability that a middle-aged man with diabetes is very active
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has diabetes.
Event B: Is very active.
Probability of having diabetes:
To find this probability, we take in consideration that:
It also found that men who were very active (burning about 3,500 calories daily) were a fourth as likely to develop diabetes compared with men who were sedentary. Assume that one-fifth of all middle-aged men are very active, and the rest are classified as sedentary.
So the probability of developing diabetes is:
x of 4/5 = x of 0.8(not active)
x/4 = 0.25x of 1/5 = 0.2(very active). So
Probability of developing diabetes while being very active:
0.25x of 0.2. So
What is the probability that a middle-aged man with diabetes is very active?
0.0588 = 5.88% probability that a middle-aged man with diabetes is very active
Answer:
65°
Step-by-step explanation:
Sum of interior angles of a triangle = 180°
⇒ m∠EAB = 180 - 90 - 70 = 20°
⇒ m∠DAG = 90 - 45 - 20 = 25°
⇒ m∠AGD = 180 - 90 - 25 = 65°
ΔADG ≅ ΔAFG
⇒ m∠AGD = m∠AGF = 65°
ΔABE ≅ ΔAFE
⇒ m∠AEB = m∠AEF = 70°
