Refer to the diagram illustrated below.
The specified constraints are
(a) y ≥ 24 ft
(b) x ≤ 10 ft
(c) y ≥ 3x
(d) y ≤ 33 ft
The shaded area represents the permissible region.
A (0, 33) meets all criteria
B (4, 36) does not satisfy condition (d)
C (4.8, 30.5) meets all criteria
D (9, 26) does not meet condition (c)
E (2, 22) does not satisfy condition (a)
Response:
The valid points are A and C.
= 0.1165 Step-by-step explanation: In statistics, the binomial distribution involves two possible outcomes. With ''n'' representing the number of trials in an experiment, these tables can be utilized to find the probability of achieving a specific number of successes within the experiment. P=14% = 0.14, n=30. Here, binomial distribution cumulative tables are applied. Thus, P(More than 7) = P(x > 7) = 1 - P(x < 7) = 1 - P(x ≤ 6) = 1 - 0.8835 = 0.1165.
Answer:
A
Step-by-step explanation:
To construct the perpendicular bisector, follow these steps:
Step 1:
Set the compass to a distance greater than half the length of segment AB, place it on point A, and draw an arc across AB.
Step 2:
Keeping the same width, place the compass on point B and create another arc across AB.
Step 3:
With the ruler, connect the two intersection points of the arcs by drawing a line.
Step 4:
This line will be the perpendicular bisector of the segment AB.
Thus, option A is the correct choice.
Honestly, I find Mrs. Garcia's method easier to perform mentally. It hinges on how familiar you are with your multiples of 5. (5*15 = 75 is a multiplication I often use)
Melissa's approach involves calculating 5*20 = 100 and 5*9 = 45, then combines the 3-digit result 100 with the 2-digit result 45, yielding 145. Adding 45 to 00 is simple and doesn’t require carrying digits, thus the arithmetic is fairly straightforward.
Mrs. Garcia's technique involves computing 5*14 = 70 and 5*15 = 75, then summing these two-digit results. Many people may not readily recall that 5*15=75, which complicates forming that product. The addition of 70 and 75 requires a carrying operation, making the math somewhat more complex. The resulting total is 145.
(The rationale behind my preference for Mrs. Garcia's method is that I can achieve the final sum by simply doubling 7 tens, followed by adding 5. The only 3-digit number to remember mentally is the ultimate total.)
_____Subtraction introduces a slight complication, yet reshaping it as $5(30 -1) = $150 - 5 = $145 is possible.
Or, you may reframe it as $5(28 +1) = $140 +5 = $145.
Dividing an even number by 2 to find the product of 5 is straightforward when you append a zero.
5*14 = 10*7 = 70
5*28 = 10*14 = 140.
