Answer:
11. D. May 20
12. C. Every 70 bags
Step-by-step explanation:
11.
Mark on the calendar what days she has swimming and what days she has diving. (See picture below) Red is Swimming and blue is diving. For swimming, count by 5s. For diving, count by 3s. Find the next square that has both red and blue on it.
Therefore, she has both swimming and diving lessons on May 20th.
12.
Use least common multiples.
Count by 7s and 10s until there is a number that's the same.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22....... You do not need to count by 2s. This is because you need to have a number that can also be counted to by 10s (a number with 10 as its factor), and 2 reaches all the multiples of 10. It is like 10 already includes 2.
7, 14, 21, 28, 35, 42, 49, 56, 63, 70
10, 20, 30, 40, 50, 60, 70
Therefore, every 70 bags will have all three items.
Answer: 0.0170
Step-by-step explanation:
Given : The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00.
i.e.
We assume the distribution of amounts purchased follows the normal distribution.
Sample size : n=50
Let be the sample mean.
Formula :
Then, the probability that the sample mean is at least $25.00 will be :-
Hence, the likelihood the sample mean is at least $25.00= 0.0170
Answer:
d) 0.798
Step-by-step explanation:
Since we know that an exponential function is in form: , where,
a= Initial value,
b = For growth b is in form (1+r), where r is rate in decimal form.
b = For decay or regression b is less than 1 and in form (1-r), where r is rate in decimal form.
Upon looking at our given choices we can see that options a, b and c are in form 1+r, while choice provided in option d is less than 1 and in form 1-r, therefore, option d is the correct choice.