Answer:
The probability that the person is between 65 and 69 inches is 0.5403
Step-by-step explanation:
Mean height = 
Standard deviation = 
We are supposed to find What is the probability that the person is between 65 and 69 inches i.e.P(65<x<69)
At x = 65
Z=-0.4
Refer the z table for p value
P(x<65)=0.3446
At x = 69
Z=1.2
P(x<69)=0.8849
So,P(65<x<69)=P(x<69)-P(x<65)=0.8849-0.3446=0.5403
Hence the probability that the person is between 65 and 69 inches is 0.5403
Answer:
Step-by-step explanation:
Flip the equation.
Add -9 to both sides
Divide both sides by 7/8
hope this helps
Answer:
25. If you look at angle B from the first figure you see a square that indicates a 90 degrees angle, thus the figure shown is a right triangle. You can also see that angle C is said to have 60 degrees. a right triangle has a total angle of 180 degrees. so, 180 - 90 - 60 = 30 degrees. Therefore, angle A is 30 degrees.
27. Now you want the measure of the hypotenuse, and you know this a right triangle. so, simply use the law of sines to find the measure of AC :
4cm/sin(60) = AC/Sin90
AC = 4.62 cm
29. angle z is in the other figure and same stuff, just substract the angles, you have 90 degrees and 30 degrees... 180 - 90 - 30 = 60 degrees
31. Angle Y = 90 degrees
this value is already given, it's the little square that indicates a 90 degrees angle.
26. 5 cm
28. 90 degrees
30. You already found AC, use the pythagorean theorem. sqrt((4.62)^2 - 4^2) = 2.31 cm
32. use pythagoras again, square root(5^2 - 3^2) = 4
So as you can see all the measurements are the same because if you see at the very top of your figures it says ABC = XYZ which means pretty much that they have the same values (notice that there is a little something added to the = sign, watch out for that because that's what indicates that two figures are equal in terms of angles and measures.
Answer:
The circumference of a circle is calculated by multiplying the diameter of a circle by π (π × d) . The formula to calculate the circumference of a circle is usually written c = πd .
Step-by-step explanation:
Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter.
I hope this helps.
