Answer:
Step-by-step explanation:
Given that the Acme Company manufactures widgets, which have a mean of 60 ounces and a standard deviation of 7 ounces
We know that 95% of the area lie between -2 and 2 std deviations from the mean.
i.e. Probability for lying in the middle of 95%
Z score 
Between 46 and 74 oz.
b) Between 12 and 57
convert into Z score
P(-6.86<z<-0.43)
=0.5-0.1664=0.3336
c) X<30 gives Z<-4.83
i.e. P(X<30) =0.00
Answer: There will be 20 motorcycles and 26 cars
let me know if you want me to explain:)
Step-by-step explanation:
If you want to check multiply 26 by the amount of wheels on each car (4) to get 104 total car wheels, then multiply the 20 motorcycles by the wheels of each motorcycle (2) to get 40. Lastly add the 104 and 40 together to get 144 the total amount of wheels in the parking lot.
Hope this helps :)
Answer:
254 cm² (to 3 s.f.)
Step-by-step explanation:
Area of shaded region
= area of large circle -area of smaller circle
Radius of large circle= 15cm
Radius of smaller circle= 12cm
Area of shaded region
= π(15²) -π(12²)
= 225π -144π
= 81π
= 81(3.14)
= 254.34
= 254 cm² (3 s.f.)
Answer: x=12
Step-by-step explanation:
we know that sum of a triangle is 180 degrees
one angle is 90 degree
the sum will be 90+(2x+1)+(5x+5)=180
substract 90 from both sides
2x+1+5x+5=180-90
7x+6=90
7x=90-6
divide by 7
x=12
Answer:
x = 4.
Step-by-step explanation:
These are exterior alternate angles which are congruent.
So 21x + 6 = 90
21x = 84
x = 4.
