Since we are looking for the Greatest Common Factor of the numbers given, we begin by factoring the numbers. It is usually easiest to start with the smallest number. Also, if there is a number that has obvious factors. In our case, satisfies both of these:

8=2⋅2⋅2 In fact,

8 only has one unique factor! If there is to be a common factor (other than

1 ) it must be

2. We now need to check that both

18 and 70 have 2 as a factor:

18=2⋅9

70=2⋅35 Therefore, 2 is the GCF of 8, 18 and 70.

5 0

3 years ago

A new method for timing traffic signals in heavily traveled intersections is introduced. The effectiveness of the new method was

Charra [1.4K]

Answer:

The sample size must be approximately 211.

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = 654.1

Alpha, α = 0.02

Population standard deviation, σ = 311.7

Margin of error = 50

Formula:

$z_{critical}\frac{\sigma}{\sqrt{n}}$

$z_{critical}\text{ at}~\alpha_{0.02} = \pm 2.33$

Putting all the values, we get,

$\pm 50 = \pm 2.33 (\dfrac{311.7}{\sqrt{n}} ) \\\\\sqrt{n} = \dfrac{2.33\times 311.7}{50}\\\\n = 210.98\\n \approx 211$

Thus, the sample size must be approximately 211.

6 0

3 years ago

Suppose you have an empty jar with a mass of 196.0 g. After filling the jar with jelly beans the mass of the jar + jelly beans i

garik1379 [7]

Answer: About 104 jelly beans were added to the jar.

Step by Step Explanation: If you subtract the mass of the jar from the mass before you added jelly beans you will get 127.8. Once you divide that number by 1.23 you will get about 104.

4 0

2 years ago