Answer:
Step-by-step explanation:
Given
Intersecting lines
Required
Find x
To do this, we make use of:
--- angle on a straight line
Collect like terms
Divide both sides by 3
1/10 of 800 = 80
1/10 of 50 = 5
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Answer:
The larger angle is 54°
Step-by-step explanation:
Given
Let the angles be: θ and α where
θ > α
Sum = 72
α : θ = 1 : 3
Required
Determine the larger angle
First, we get the proportion of the larger angle (from the ratio)
The sum of the ratio is 1 + 3 = 4
So, the proportion of the larger angle is ¾.
Its value is then calculated as:.
θ = Proportion * Sum
θ = ¾ * 72°
θ = 3 * 18°
θ = 54°
Answer:
The probability is 0.9938
Step-by-step explanation:
In this question, we are asked to calculate the probability that the mean blood pressure readings of a group of people is less than a certain reading.
To calculate this, we use the z score.
Mathematically;
z = (mean - value)/(standard deviation/√N)
From the question, we can identify that the mean is 125, the value is 123 , the standard deviation is 9.6 and N ( total population is 144)
Let’s plug these values;
z = (125-123)/(9.6/√144) = 2.5
Now we proceed to calculate the probability with a s score less than 2.5 using statistical tables
P(z<2.5) = 0.9938
