Answer:
b. 1.129 inch
Step-by-step explanation:
If the pan were completely filled, it would hold ...
(7 in)(11 in)(2 in) = 154 in^3
of batter, or ...
(154 in^3)(0.069 cups/in^3) = 10.626 cups
Since it is filled with only 6 cups, and the depth is proportional to the volume, the depth is ...
depth/(2 in) = (6 cups)/(10.626 cups)
Multiplying by 2 in, we get ...
depth = (2 in)(6/10.626) = 12/10.626 in
depth ≈ 1.129 in
Answer:
y = -9
Step-by-step explanation:
Complete question;
Which equation represents the line y = 1/4 that is perpendicular to and passes through (-6,-9)?
The equation of the line in point slope form is y-y0 = m(x-x0)
Given the equation y = 1/4, the slope of the line is zero
Substitute the slope and the point into the formula;
y -(-9) = 0(x-(-6)
y + 9 = 0
y = -9
Hence the required equation is y = -9
You're basically adding five because 10 - 5 = 5. Start from zero.
5, 10, 15, 20, 25
Answer:
Priya
Step-by-step explanation:
Mai= 5:3 Priya=7:5
Mai= 15:15 Priya=21:15
The ratios above are blue:yellow so Priya's shade has more of a blue tint because it is 21:15 and Mai's is 15:15 so it is evenly spread.
<h3>
Answer: 17/24</h3>
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Explanation:
We have these four cases or possible outcomes
- Case 1) We select 0 black marbles and 3 red marbles.
- Case 2) We select 1 black marble and 2 red marbles.
- Case 3) We select 2 black marbles and 1 red marble.
- Case 4) We select 3 black marbles and 0 red marbles.
Let's calculate the probability for case 4.
There are 7 black marbles out of 10 total. The probability of picking black is 7/10. If no replacement is made, then 6/9 is the probability of picking black again (subtract 1 from the numerator and denominator separately). Finally, 5/8 is the probability of getting black a third time.
The probability of getting 3 black marbles in a row is
(7/10)*(6/9)*(5/8) = (7*6*5)/(10*9*8) = 210/720 = 7/24.
That fraction 7/24 means that if you had 24 chances, then you expect about 7 of them will lead to getting three black marbles in a row (aka case 4). Therefore, 24-7 = 17 occurrences are expected where we get cases 1 through 3 occur in some fashion (pick one case only).
Notice how cases 1 through 3 encapsulate the phrasing "at most 2 black marbles" which is another way of saying "2 black marbles is the highest we can go".
So that's why the answer is 17/24.
