12 x 10 = 120
12 + 12 + 10 + 10 = 44
12 by 10
Hope this helps!
Answer:
G. 7(200)+7(10)
Step-by-step explanation:
First, you would multiply 200 by 7
Once you do that you should get 1400
After that you mulitply 7 by 10
You should get 70
Add 1400 by 70 and there you go your answer 1,470
Answer:
0.25x + y = 12
Step-by-step explanation:
I am hoping that these steps will be self-explanatory, as I am not quite sure how to explain writing an equation:
0.25x + y = 12
Hope this helps :)
Answer:
Mean is 12.13 months
Standard deviation is 1.29
Step-by-step explanation:
We need to use z-score here
Let the mean of the distribution be a while the standard deviation be b
Mathematically;
z-score = (x-mean)/SD
We can obtain the probability from the z-score
Now, for the 10th month
The z-score for a probability of P = 0.05(5%)
Can be obtained from the standard normal distribution table and that is;
-1.645
Hence;
-1.645 = (10 - a)/b
-1.645 b = 10 - a
a = 10 + 1.645b ••••••(i)
For the 13 month, we have a proportion of 75%
The z-score corresponding to P(0.75) is = 0.674 from standard normal distribution table
Hence;
0.674 = (13-a)/b
0.674b = 13 - a
a = 13 - 0.674b. •••••(ii)
Now equate both a;
10 + 1.645b = 13 - 0.674b
13-10 = 1.645 b+ 0.674b
3 = 2.319b
b = 3/2.319
b = 1.294
So the mean a will be
10 + 1.645b = 10 + 1.645(1.294) = 10 + 2.13
So mean is 12.13
Answer:
4 ml of the 63% milk drink
Step-by-step explanation:
Multiplying 15 ml by 0.15 results in 2.25 ml, the amount of whole milk in the drink. Let m represent the number of ml of a drink that is 63% milk.
The final amount of milk drink that is to be 45% milk will be 15 ml + m, and the amount of whole milk contained in this drink will be 0.45(15 + m).
Then:
0.15(15 ml) + 0.63(m) = 0.45(15 + m), where m is to be in milliliters.
2.25 + 0.63m = 6.75 + 0.45m
First: consolidate the m terms on the left. 0.63m less 0.45m yields 18 m; then we have:
2.25 + 18m = 6.75, or
18 m = 4.50, or m = 4 ml.
In conclusion: adding 4 ml of that 63% milk drink to the initial 15 ml of 15% milk will result in (15 ml + 4 ml) of a 45% milk drink.
