The answer is 4 packs of medium cups and 6 packs of large cups.
The answer is 10. Between 10 and 35, there are 7 prime numbers: 11, 13, 17, 19, 23, 29, and 31. Multiplying 11 by any of the others yields a product smaller than 350, resulting in 6 products. The product of 13 with anything below 26 will also be less than 350, adding 3 more products. Similarly, the product of 17 with anything below 20 yields 1 additional product. Therefore, the total count of different products under 350 amounts to 10.
Answer: the likelihood of a randomly selected tire lasting exactly 47,500 miles is 0.067
Step-by-step explanation:
Since the expected lifespan of this tire brand follows a normal distribution, we will use the normal distribution formula:
z = (x - µ)/σ
Where
x = lifespan of the tire in miles.
µ = mean
σ = standard deviation
The given figures include,
µ = 40000 miles
σ = 5000 miles
The probability that a tire will last precisely 47,500 miles
P(x = 47500)
For x = 47500,
z = (40000 - 47500) / 5000 = -1.5
According to the standard normal distribution table, the probability associated with this z score is 0.067
The formula to convert Fahrenheit to Celsius is:
Celsius = (Fahrenheit - 32) x 5/9
C(76.1) = (76.1 - 32) x 5/9
= (44.1) x 5/9
= 24.5
Hence, 76.1°F is equal to 24.5°C.
Given that,
Julia completes a 20-mile bike ride in 1.2 hours.
The distance Julia covers is 20 miles and her time taken is 1.2 hours.
Therefore, Julia's speed =
= 16.67 mph
Katie finishes the same 20-mile ride in 1.6 hours.
Katie’s distance is 20 miles and her time is 1.6 hours.
Hence, Katie's speed =
= 12.5 mph
To determine how much faster Julia rides compared to Katie, subtract Katie’s speed from Julia’s speed.
Thus, 16.67 mph minus 12.5 mph equals 4.17 mph, approximately 4.2 mph.
Consequently, Julia cycles 4.2 mph faster than Katie.