Answer:
Step-by-step explanation:
The house blueprint shows the bedroom is 4 in wide and its actual length is 12 yards wide. This means that every 1 inch on the blue print represents 3 yards on the actual building. The scale is the ratio of the length of a side on the blueprint to the length of a corresponding side on the actual. Therefore, the scale for the blueprint is 3: 1
Therefore, the scale factor is 3
Answer:
23 degrees
Step-by-step explanation:
So basically you plug in -10x + 58 = 111 and then solve for x. You then plug x into 6x +41. Thats how you find the angle measure. Plz award brainliest
Answer:
Step-by-step explanation:
Number of cows increased=60
Old quality of milk consumed=12.8litres
New Increase in milk consumed=15litres
Therefore the number of cows in the farm if the quality of milk is 1340litres=y
Therefore, 1cow =15litres
y cows= 1340litres
Crossmultiply:
15litres×ycows=1340litres
Make y the subject of formula
y= 1340÷15
y=89.33cows
Therefore,the number of cows on the farm if farmer gets 1340litres of milk would be 89cows.
Answer:
1. 16/9
2. 33/2
3. 4/9
4. 3/2
5. 6/13
Step-by-step explanation:
1. 16 dogs and 9 cats
16/9
2. 99 miles to 6 gallons
99/6
Divide by 3 on the top and bottom
33/2
3. 4 frogs to 9 lily pads
4/9
4. 6 cups of milk to 4 cups of flour
6/4
Divide the top and bottom by 2
3/2
5. 6 girls to 13 boys
6/13
Explanation:
Lets interpret Z with M trials. First we have M trials, each trial can be a success or not. The number of success is called N. Each trial that is a success becomes a trial, and if it is a success it becomes a success for Z. Thus, in order for a trial to be successful, it needs first to be successful for the random variable N (and it is with probability q), and given that, it should be a success among the N trials of the original definition of Z (with probability p).
This gives us that each trial has probability pq of being successful. Note that this probability is pq independently of the results of the other trials, because the results of the trials of both N and the original definition of Z are independent. This shows us that Z is the total amount of success within M independent trials of an experiment with pq probability of success in each one. Therefore, Z has Binomial distribution with parameters pq and M.