Answer:
Taylor's conjecture is correct because the population of 2000 in the city was more compared to the population in 2010 in the same city. This is because the population in 2000 was 935,426 and it had 848 more people in that same city compared to in 2010. Therefore Taylor is right since 2000's population is 848 more than 2010's population...
The equation is already set up for you. All you need to do is solve for x, the number of hours.
23 + 3x = 5x + 7 original equation
23 - 7 = 5x - 3x combine like terms by subtracting 7 and 3x from both sides
16 = 2x simplify
16/2 = x divide both sides by 2 to isolate x
8 = x solve for x
Therefore, the answer is 8 hrs.
Answer:
3/8 π radians
Step-by-step explanation:
The Area of a sector when then central angle is in radians = 1/2r² θ
Where
θ = central angle = ?
r = 16 cm
Area of the sector = 48πcm²
Hence
Central angle = Area of a sector ÷ (1/2r²)
= 48πcm² ÷ (1/2 × 16²)
= 48πcm² ÷ 128
Central angle = 3/8π radians
Therefore, Central angle = 3/8π radians
Answer:
a) 2.0702
b) 2.07
Step-by-step explanation:
Given:
Sample, n = 840
standard deviation, σ = 60
a) The standard deviation of the sampling distribution, will be:
= 2.0702
Standard deviation of the sampling distribution is 2.0702
b) According to the 68 part of the 68-95-99.7 rule, 68% of all values of x fall within 1 standard deviation on either side of the unknown mean μ.
Therefore, missing number will be:
= 1 * 2.0702
= 2.0702 ≈ 2.07
Answer:
D
Step-by-step explanation:
The first and last sequence have a common difference in them. The first having d = 4 and the second having d = 7.
The second and third have a common ratio instead and are geometric sequences. The second has r = 2, and the third having r = (-3)