A = L * W
280 = 14 * A
A = 280 / 14
A = 20
A = 2 tens
Big rectangle: A = 280 + (14 * B)
378 =280 + 14B
14B = 378 - 280
14B = 98
B = 7
So length = 2 tens + 7 = 27
Answer
C. 2 tens + 7 = 27
Answer:
There is significant evidence to conclude that the replacement time for streetlights under the new contractor is longer than the replacement time under the previous contractor.
Step-by-step explanation:
Given the data :
6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
The hypothesis:
H0: μ = 3.2
H1 : μ > 3.2
n = sample size = 12
The sample mean, xbar = ΣX / n
xbar = 53.2 / 12
xbar = 4.43
Using calculator;
Sample standard deviation, s = 2.147
The test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(4.43 - 3.2) ÷ (2.147/sqrt(12)
1.23 / 0.6197855
Test statistic = 1.985
The Pvalue using the Pvalue from Tscore calculator :
Tscore = 1.985 ; df = 12 - 1 = 11
Pvalue = 0.036
Since Pvalue < α ; We reject the Null
Hence, we conclude that the replacement time for streetlights under the new contractor is longer than the replacement time under the previous contractor.
Answer:
351.9 ft³
Step-by-step explanation:
- <em>Volume of cylinder: V= πr²h</em>
<u>Given:</u>
- d= 8 ft ⇒ r= 8/2= 4 ft
- h= 7 ft
<u>Solution:</u>
- V= π*4²*7 ≈ 351.9 ft³ rounded to the nearest tenths
Answer: The correct option is C
Step-by-step explanation:
You begin a job with an annual salary of $32,900
Each year you are assured of a 5.5%. If you get the same amount each year, that is a 100% payment. It is neither reducing nor increasing. But with an increase of 5.5% each year, it means you are getting (100+5.5)% each year. This equals 105.5%. So for each year, you get 105.5% of the previous year.
This is a geometric progression. To determine the total amount that you can earn in 15 years, we will find the sum of 15 terms, S15 of the series. The formula for sum of the nth term of a geometric progression is expressed as
Sn = [a(r^n - 1)] / r - 1
Where
Sn = sum of the nth terms of the series
a = the first term(salary of the first year
r = common ratio
n = number of years.
From the question,
a = 32900
n = 15
r = 105.5/100 = 1.055
S15 = [32900(1.055^15 - 1)] / 1.055 - 1
S15 = [32900(2.23247649224 - 1)] / 0.055
S15 = [32900 × 1.23247649224] / 0.055
S15 = $737245
Answer:
5
Step-by-step explanation:
First the question said that two equal sides of the isosceles triangles is thrice the third side. This means that the two equal sides is 3x while the third side should be represented as x
Secondly, add the three parts together which = 3x+3x+x =7x
Thirdly, then divide both sides by 7= 7x/7 *35/7
Making x=5
