Answer:
(5k+14)(3k+8)
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
The table shows the total number of students as 572 (bottom right cell in the table.)
The number of students who are 17 or older are the students in the two groups: 17-18 and 19-20.
There are 151 students with ages 17-18.
There are 34 students with ages 19-20.
The total of all students 17 or older is 151 + 34 = 185.
The probability of choosing a student age 17 or older is the number of students 17 or older (which is 185) divided by the total number of students (which is 572).
p(17 or older) = 185/572 = 0.3234 = 32.34%
We round 32.34% to the nearest integer to get 32%.
Answer:
0.61196
Step-by-step explanation:
When we are given a random number of samples , we solve using the z score formula
z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean = 34.6
σ is the population standard deviation = 13.6
n is the random number of samples = 37
For x = 32
z = 32 - 34.6/13.6/√37
z = -1.16288
Probability value from Z-Table:
P(x = 32) = 0.12244
For x = 36
z = 36 - 34.6/13.6/√37
z = 0.62617
Probability value from Z-Table:
P(x = 36) = 0.7344
The probability their mean hours worked per week is between 32 and 36 hours per week is calculated as:
P(x = 36) - P(x = 32)
= 0.7344 - 0.12244
= 0.61196
Answer:
0
Step-by-step explanation:
3*sqrt(128) - 2sqrt(6)*4sqrt(3)
3*sqrt(128) = 3*sqrt(64*2) But the square root of 64 = 8
3sqrt(128) = 3*8 * sqrt(2) = 24 sqrt(2)
==================
2* sqr(6)*4sqrt(3) Combine the 2 and 4 = 8. Break apart the 6.
8* sqrt(3*2)*sqrt(3) Break apart the sqrt(3*2)
8*sqrt(3*2)*sqrt(3) = 8 * sqrt(3)*sqrt(2)*sqrt(3) but sqrt(3)*sqrt(3) = 3
8*sqrt(3)*sqrt(2)*sqrt(3) = 8*3*sqrt(2) = 24sqrt(2)
===================
24sqrt(2) - 24*sqrt(2)
0
Answer:
- 1/12
Step-by-step explanation:
Let -0.0833333 = x --- (1)
Multiply both sides by 10.
-0.833333 = 10x --- (2)
Subtract (2) from (1),
0.75 = -9x
-9x = 
= 
