Answer: a) 0.6141
b) 0.9772
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
The formula for z -score :
a) Sample size = 1
For x= 63 in. ,
The p-value = 
Thus, the probability is approximately = 0.6141
b) Sample size = 47
For x= 63 ,
The p-value = 
Thus , the probability that they have a mean height less than 63 in =0.9772.
One inch equals 25 miles
Two inches equals fifty miles
Three inches equals seventy five miles
Four inches equals one hundred miles
.1 inches equals 2.5 miles
.4 inches equals 10 miles
Seventy five miles plus ten miles equals eighty five miles.
Answer:
x = 9
y = 9√3 = 15.6
Step-by-step explanation:
The triangle given is a right triangle, therefore:
✔️apply trigonometric ratio formula to find x:
Reference angle = 60°
Hypotenuse = 18
Adjacent = x
Thus:
Cos (60) = x/18
Multiply both sides by 18
18×cos(60) = x
9 = x
x = 9
✔️find y by applying pythagorean theorem:
y² = 18² - x² (pythagorean theorem)
y² = 18² - 9² (substitution)
y² = 243
y = √243
y = √(81*3)
y = 9√3 = 15.6
<span>Two geometic shapes are congruent if one can be mapped to the other only by using rigid motions: translations and rigid rotations. The third statement is the only one that is true for any triangles â–łPQR and â–łXYZ, in whichever position they are.</span>
Answer:
D, B
Step-by-step explanation:
D is 4 units above B
