Answer:
a) 0.0801
b) 0.1910
Step-by-step explanation:
a) probability of the event that numbers start with the digit 1 =P(1.5<X<2) =(2-1.5)/(4.8-1.5)=0.1515
Here mean =np =500*0.1515 =75.76
std deviation =(np(1-p))1/2 =8.02)
probability of the event that less than 65 of the numbers start with the digit 1=P(X<65)=P(Z<(64.5-75.76)/8.02)
=P(Z<-1.4041)=0.0801
b) probability of the event of the numbers start with the digit 3 =P(3<X<4) =(4-3)/(4.8-1.5)=0.3030
Here mean =np =500*0.3030 =151.52
std deviation =(np(1-p))1/2 =10.28
probability of the event that more than 160 of the numbers start with the digit 3=P(X>160)
=1-P(Z<(160.5-151.52)/10.28)=1-P(Z<0.8743)=1-0.8090 =0.1910
Answer: the answer is: 60π in²
Step-by-step explanation:
Lateral surface area for a circular cone is given by the formula in the attached picture.
Lateral Surface Area,
=πr √( r² + h²)
=π (6) √( 6² + 8²)
= π6 √( 36 + 64)
= 6π √(100)
= 6π (10)
= 60π in²
Slope = (5+8)/(8-4) = 13/4
y = mx + b
b= y - mx
b = -8 - (13/4) (4)
b = -8 -13
b = -21
equation
y = 13/4x - 21
9514 1404 393
Answer:
- partial products: 0.25, 1.5, 0.50, 3
- Zoe spent $5.25 on apples
Step-by-step explanation:
The partial products are apparently derived by multiplying parts of each value on either side of the decimal point:
1.5 × 3.50 = (1 + 0.5)(3 + 0.50) = 1×3 + 0.5×3 +1×0.50 +0.5×0.50
= 3 + 1.5 + 0.50 + 0.25 . . . . . partial products
Their sum is ...
3 + 1.5 + 0.50 + 0.25 = 5.25
Zoe spent $5.25 on apples.
