Answer:
81.8%
Step-by-step explanation:
Mean = 
Standard deviation = 
Now we are supposed to find out what percent of the numbers fall between 35 and 50
Substitute the values
Now for P(35<x<50)
Substitute x = 35
Substitute x = 50
So, P(-1<z<2)
P(z<2)-P(z<-1)
=0.9772-0.1587
=0.8185
= 
=81.8%
Hence 81.8% percent of the numbers fall between 35 and 50
5x+3y=58
5x-3y=22
(3y gets cancelled bc 3y-3y=0, then add 5x with 5x, so you're left with)
10x=80, (divide both sides by 10)
x=8
Now we look for y. So choose one formula from the two (let's say 5x + 3y=58)
Substitute x for 8 so it will look like---- 5(8)+3y=58
Multiply 5*8--- so you get -- 40+3y=58
Subtract 40 from both sides and you're left with 3y=18
divide both sides by 3
you get y=6
In conclusion, x=8 and y=6 hence, (8,6)
Answer:
x = -4 or x = 2
Step-by-step explanation:
Answer: 7
Step-by-step explanation:
As tangents drawn from a common external point to a circle are congruent,
- 8x - 7 = 6x + 7
- 2x - 7 = 7 [subtract 2x from both sides]
- 2x = 14 [add 7 to both sides]
- x = 7 [divide both sides by 2]
Answer:
Step-by-step explanation:
Well, the ratio of yellow beads to blue beads is 4:5. The best way I think is to guess and check multiplying the ratio by integers. You need between 15 and 20.
4 : 5 ( = 9 too little )
8 : 10 ( = 18 just right)
12 : 15 ( = 27 too much)
So per necklace, 8 yellow beads and 10 blue beads would be needed.
I hope this helps :-)
