The ratio of Blue to red in the purple shade that Patrick wants is:
Blue:red=4:3
The mixtures that will create the same shade of purple is:
<span>a] 8ounces of blue paint mixed with 6ounces of red paint
because the ratio of blue to red is 4:3
and
b] </span><span>20 ounces of blue paint mixed with 15 ounces of red paint
because the ratio of blue to red is 4:3</span>
Answer:
John need to get 293 in his next game to bring his average up to 183.
Step-by-step explanation:
John starts with N games played and averaging 177 points per game.
In game N+1, John scored 199 points.
So, John has now played (N+1) = 22 games.
We need to know what score John needs in game 23 to bring his average to 183.
Answer:
x<6
Step-by-step explanation:
x+1 < 7
Subtract 1 from each side
x+1-1<7-1
x <6
Answer:
7 1/12
Step-by-step explanation:
i took the test 1.13 Quiz: Distance on a Number Line
Answer:
a) 615
b) 715
c) 344
Step-by-step explanation:
According to the Question,
- Given that, A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 732 babies born in New York. The mean weight was 3311 grams with a standard deviation of 860 grams
- Since the distribution is approximately bell-shaped, we can use the normal distribution and calculate the Z scores for each scenario.
Z = (x - mean)/standard deviation
Now,
For x = 4171, Z = (4171 - 3311)/860 = 1
- P(Z < 1) using Z table for areas for the standard normal distribution, you will get 0.8413.
Next, multiply that by the sample size of 732.
- Therefore 732(0.8413) = 615.8316, so approximately 615 will weigh less than 4171
- For part b, use the same method except x is now 1591.
Z = (1581 - 3311)/860 = -2
- P(Z > -2) , using the Z table is 1 - 0.0228 = 0.9772 . Now 732(0.9772) = 715.3104, so approximately 715 will weigh more than 1591.
- For part c, we now need to get two Z scores, one for 3311 and another for 5031.
Z1 = (3311 - 3311)/860 = 0
Z2 = (5031 - 3311)/860= 2
P(0 ≤ Z ≤ 2) = 0.9772 - 0.5000 = 0.4772
approximately 47% fall between 0 and 1 standard deviation, so take 0.47 times 732 ⇒ 732×0.47 = 344.
