Answer:
true
Step-by-step explanation:
Triangle Proportionality Theorem - 'If a line is parallel to one side of a triangle and intersects the other two sides, then it divides the other two sides proportionally'. Hence, the given statement is true
Answer:
$297.41
Step-by-step explanation:
Given that:
Amount = 9270
Derferred period = 6 months = 0.5 yr
Rate = 17.95% = 0.1795
Amount = 9270(1 + 0.1795)^0.5
Amount = 9270(1.1795)^0.5
Amount = 10067.663
PV = 10067.663
Number of months, n = 48
Monthly amount to be paid :
rp = rate per period = 0.1795/12 = 0.0149583
(rp * PV) / 1 - (1 + rp)^-n
(0.0149583 * 10067.663) / 1 - (1 + 0.0149583)^-48
150.5951234529 / 0.5096723
= 295.47441
Closest option is $297.41
Answer:
78.383%
Step-by-step explanation:
The pH of randomly selected swimming pools follows a normal distribution with mean 7.4 and standard deviation 0.22. A pool should have a pH between 7.2 and 7.8 so that chlorine treatment is effective.
Using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = 7.2
z = 7.2 - 7.4/0.22
z = -0.90909
Probability value from Z-Table:
P(x = 7.2) = 0.18165
For x = 7.8
z = 7.8 - 7.4/0.22
z = 1.81818
Probability alue from Z-Table:
P(x = 7.8) = 0.96548
The probability of pools having an acceptable pH level(7.2 and 7.8)
= P(x = 7.8) - P(x = 7.2)
= 0.96548 - 0.18165
= 0.78383
Converting to percentage
0.78383 × 100
= 78.383%
The percentage of pools having an acceptable pH level is 78.383%
Answer:
b
Step-by-step explanation:
Answer:
15.70
Step-by-step explanation:
2×3.14×10(90÷360)=15.70
