Answer:
18 times
Step-by-step explanation:
Sample space ; roll of 2 number cubes = 6^2 = 36
Sum of 4 in 2 cube rolls = 3
Probability = required outcome / Total possible outcomes
P(sum of 4) = 3 / 36 = 1 / 12
If number cube is rolled 216 times :
Probability on 1 roll * Number of rolls
(1 / 12) * 216
0.0833333 * 216
= 18
Answer: The retail price of the boots = $232.05
Step-by-step explanation:
Given: The cost price of boots for shoe store= $119
Also if the stores manager decides on markup of 35%.
Then the retail price of the boots is given by:-
Hence, the retail price of the boots = $232.05
Distance between coordinates = √(y2-y1)² + (x2-x1)²
d = √(9-2)² + (1-7)²
d = √7² + 6²
d = √85
d = 9.22 units
In short, Your Answer would be: 9.22 units
Hope this helps!
Answer:
2685
Step-by-step explanation:
The nth term of an arithmetic sequence is:
aₙ = a₁ + d (n − 1)
where a₁ is the first term and d is the common difference.
Here, a₁ = -12 and d = 7:
aₙ = -12 + 7 (n − 1)
aₙ = -12 + 7n − 7
aₙ = -19 + 7n
The sum of the first n terms of an arithmetic sequence is:
S = (n/2) (a₁ + aₙ)
First, we find the 30th term:
a₃₀ = -19 + 7(30)
a₃₀ = 191
Now we find the sum:
S = (30/2) (-12 + 191)
S = 2685
Answer:
Step-by-step explanation:
1.5 quarts of grape juice should be mixed with 3/4 quarts of water.
1.5 is the same as 3/2. Our ratio is 3/2 : 3/4
If we multiply everything by 4, things will get even easier to understand.
This gives us a ratio of (4 x 3/2) : (4 x 3/4)...
...or more simply put as 6 : 3
Which is even more simply put as 2:1
so for 15/4 we want
15/4 x 2 = 15/2
or 7.5 quarts if you want to express it once again as a decimal.
(We can also attack the problem by simply considering is all in decimals at the outset; 1.5 quarts grape mixed with 0.75 quarts of water. The 2: 1 relationship is quite obvious looking at this. Once again 15/4 x 2 = 15/2 or seven and a half quarts).