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
Answer:
2*(5x - 2) + 2*(3x+1) ; Perimeter = 62 centimeters
Step-by-step explanation:
2*(5x - 2) + 2*(3x+1) = 10x - 4 + 6x + 2
= 16x -2
If x = 4 , then Perimeter = 16*4 - 2 = 64 - 2 = 62 cm
Answer:
The area of the sector (shaded section) is 29.51
.
Step-by-step explanation:
Area of a sector = (θ ÷ 360) 

where θ is the central angle of the sector, and r is the radius of the circle.
From the diagram give, diameter of the circle is 26 m. So that;
r = 
=
= 13 m
θ = 360 - (180 + 160)
= 360 - 340
= 
Thus,
area of the given sector =
x
x 
=
x x
x 169
= 29.5079
The area of the sector (shaded section) is 29.51
.
<h2>
Answer:</h2>
The equation that is used to model the length of ladder in terms of x is:

<h2>
Step-by-step explanation:</h2>
We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.
where x is the distance between the top of the ladder and the ground.
and (x-7) is the distance between the foot of the ladder and the wall.
Hence, using Pythagorean Theorem we have:

Hence, the answer is:

Suppose U= {1, 2, 3, 4, 5, 6, 7, 8} is the universal set and P= {1, 2, 3, 4}. What is P?
Digiron [165]
Did you mean P' ? The letter P with a tick mark after it. If so, then start with set U and erase any number you find in set P
We start with
{1,2,3,4,5,6,7,8}
and we erase the following: 1,2,3,4
since those numbers are in set P
P = {1,2,3,4}
P ' = {5, 6, 7, 8}
<span>The set P' is the complement of set P. It is, in a sense, the opposite of set P. It contains everything that P doesn't have.</span>