The average speed of the snowmobile can be obtained by using the formula: speed = distance/time which was also given in the problem statement. This means that the average speed refers to how far you have traveled in a period of time. In this case, the snowmobile traveled 32 miles in 213 hours. We then simply divide the distance, 32 miles, by the time it took for the snowmobile to travel such distance which is 213 hours. The average speed of the automobile is calculated to be 0.1502 miles per hour. When rounded off to the nearest tenth, the final answer is then 0.2 miles per hour.
Answer:
Multiply the decimal by 100, then just add the percent symbol right after.
Answers A and <span>D
</span><span>
</span><span>9x − 3(x+8) [distribute] = 9x − 3x − 24 = 6x − 24 [combine like terms]
</span>
<span>8(x−3)−2x = [distribute] 8x−24−2x = 6x−24 [combine like terms] </span>
Answer:
The 80% confidence interval would be given by (0.339;0.401)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
For this case the estimated proportion of interest would be
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by and . And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 80% confidence interval would be given by (0.339;0.401)
Answer:
x = 10
Step-by-step explanation:
2.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 10 as the denominator :
7x 7x • 10
7x = —— = ———————
1 10
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
7x • 10 + 1 70x + 1
——————————— = ———————
10 10
Final result :
70x + 1
———————
10
Processing ends successfully