Answer:
m=0.833333
Step-by-step explanation:
(1/16)−3m+1=64
log((1/16)−3m+1)=log(64)
(Take log of both sides)
(−3m+1)*(log(1/16))=log(64)
−3m+1=log(64)
log(1/16)
−3m+1=−1.5
−3m+1−1=−1.5−1
(Subtract 1 from both sides)
−3m=−2.5
−3m
−3
=
−2.5
−3
(Divide both sides by -3)
Answer:
see below
Step-by-step explanation:
9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank
We are replacing 9 with 10 minus something
9 = 10 -1
9 x 8 = (10 x 8) - ( 1 x 8)
80 - 8
72
Answer:
h=15
Step-by-step explanation:
subtract 16 from 31
P = 0.11
1-p = .89
n = 200
mean = n*p = 22
std dev = n*sqrt(p(1-p)/n) = 4.425
find z values for standard normal distribution
Z= (30-22)/4.425 = 1/808
look up table to find P(Z less than 1.808) which is same P(x less than 30)
for 2nd part, you need 2 Z values
Z1 = (25-22) / 4.425 = 0.678
Z2 = (15-22) / 4.425 = -1.58
P(-1.58 less than Z less than 0.678) = P(Z less than .678) - P(Z less than - 1.58)
Answer:
Equation for the problem
3x + 15 = 51 laps
Hence
She swims on
Monday: 12 laps
Wednesday : 12 laps
Friday = 12 laps
Step-by-step explanation:
Ella swims four times a week at her club's pool.
We are told that:
She swims the same number of laps on Monday, Wednesday, and Friday.
Hence, the number rod times that she swims on Monday, Wednesday and Friday is represented by x
Also, she swims 15 laps on Saturday. She swims a total of 51 laps each week. Equation for the problem
= x + x + x + 15 = 51 laps
3x + 15 = 51 laps
Hence
3x = 51 - 15
3x = 36
x = 36/3
x = 12 laps
Therefore, She swims on:
Monday: 12 laps
Wednesday : 12 laps
Friday = 12 laps
