Answer:
4
7
w
=
16
Multiply both sides of the equation by
7
4
.
7
4
⋅
4
7
⋅
w
=
7
4
⋅
16
Simplify
7
4
⋅
4
7
⋅
w
.
Step-by-step explanation:
Oof this one is hard I think it’s 20 mm but I’m not sure
Metallic ribbon: 16$ for 4ft
Dividing both sides by four, we get:
1 feet -- 4 dollars
White ribbon 3$ for 1 feet
1 feet -- 3 dollars
<h2><u><em>
Therefore, the Metallic ribbon costs more per feet.</em></u></h2>
Answer:
a.0.8664
b. 0.23753
c. 0.15866
Step-by-step explanation:
The comptroller takes a random sample of 36 of the account balances and calculates the standard deviation to be N42.00. If the actual mean (1) of the account balances is N175.00, what is the probability that the sample mean would be between
a. N164.50 and N185.50?
b. greater than N180.00?
c. less than N168.00?
We solve the above question using z score formula
z = (x-μ)/σ/√n where
x is the raw score,
μ is the population mean = N175
σ is the population standard deviation = N42
n is random number of sample = 36
a. Between N164.50 and N185.50?
For x = N 164.50
z = 164.50 - 175/42 /√36
z = -1.5
Probability value from Z-Table:
P(x = 164.50) = 0.066807
For x = N185.50
z = 185.50 - 175/42 /√36
z =1.5
Probability value from Z-Table:
P(x=185.50) = 0.93319
Hence:
P(x = 185.50) - P(x =164.50)
= 0.93319 - 0.066807
= 0.866383
Approximately = 0.8664
b. greater than N180.00?
x > N 180
Hence:
z = 180 - 175/42 /√36
z = 5/42/6
z = 5/7
= 0.71429
Probability value from Z-Table:
P(x<180) = 0.76247
P(x>180) = 1 - P(x<180) = 0.23753
c. less than N168.00?
x < N168.
z = 168 - 175/42 /√36
z = -7/42/6
z = -7/7
z = -1
Probability value from Z-Table:
P(x<168) = 0.15866
Answer:
2 miles and 88 yards.
Step-by-step explanation:
4 has 2*2 as prime factors
5 is prime
10 has 2 and 5 as prime factors
Thus, the lowest common denominator will be 2*2*5
3/4=15/20
3/5=12/20
7/10=14/20
Now that we have three fractions with the same denominator, we can add the numerators
15+12+14=41
So 41/20ths
That’s 2 and 1/20th
So the final answer is 2 miles and 88 yards! :)
