Answer:
Centimeters Mapped: 8.4 cm
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. If we want to determine the cm of the route on the map, let us first convert 2.1 kilometers ⇒ centimeters: 2.1 km = 210,000
2. Given such, let us create a proportionality as such:
1 = 25,000 ⇒ x - route in cm mapped out
x 210,000
3. Now let us cross multiply, and solve through simple algebra:
210,000 = 25,000 * x,
x = <em>8.4 centimeters marked by a route on the map</em>
The answer to this question is D
To find the simplest form of a fraction, you have to find the greatest common factor (GCF). To do so, list out the factors of the numerator (4) and the denominator (8) and find the biggest common number between the two numbers.
Factors of 4: 1, 2, 4
Factors of 8: 1, 2, 4 ,8
Out of those factors, we can see that 1, 2, and 4 are the common factors, but 4 is the greatest which makes it our GCF.
Now we can divide the numerator and the denominator by the GCF to receive our simplest form.
4 ÷ 4 = 1
8 ÷ 4 = 2
Rewrite the fraction with the new numerator (1) and the new denominator (2).
The simplest form of 4/8 is: 1/2 or 0.5.
Answer: 554
Step-by-step explanation:
Formula we use to find the sample size :
Given : Standard deviation :
Margin of error : E=one quarter hour = 0.25 hour
Two-tailed , Critical value use for 0.95 degree of confidence:
i.e.
Hence, the required sample size = 554
i.e. 554 executives should be surveyed.