Answer:
440cm³
.45
1.49538 ft
43.6
Step-by-step explanation:
1.
Start by finding the area of the base
.5*(a+b)*h
.5*(8+14)*4= 44
Then just multiply this by distance between the ends
44*10=440
2.)
To get from 2.7 to 9 we muiltply by 9/2.7= 3.33333333
which means that
3.333333333x=1.5
x=.45
3.)
Height:shadow
6.5:1.8
5.4:x
To get from 6.5 to 5.4 we multiply it by (5.4/6.5) or .8307
which means to get from 1.8 to x we muiltply 1.8*.8307= 1.49538
4.)
Same kind of deal as the last one
to get from 13 to 27 we mulitply by (27/13) or 2.076923 which means to get from 21 to x we multuply 21*2.076923=43.6
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:69,420
Step-by-step explanation:
9+10=21
Answer:
x>4
Step-by-step explanation:
16+5x>x+32
5x>x+16
4x>16
x>4
