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Solnce55 [7]
3 years ago
10

Which of the following is most likely to be a relative maximum for this graph?

Mathematics
1 answer:
Bad White [126]3 years ago
6 0

Answer:

C

Step-by-step explanation:

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Two points are selected randomly on a line of length 32 so as to be on opposite sides of the midpoint of the line. In other word
Paladinen [302]

Solution :

Let us consider the squares be $[1, 16] \times [16, 32]$

If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region$y-x \geq 9 \text{\ is}\ y - x = 9$  which goes from the $(7, 16  ) \text{ to}\ (16, 25) $.

And so it is easier to find the area of region where $ y-x \leq 9$. This is the triangle with points $(7,16),(16,25) \text{ and}\ (16,16)$ as its vertices.

The area if the triangle is =  $\frac{1}{2} \times 9 \times 9$

                                         = $\frac{81}{2}$

Now the entire area is $(16)^2$  = 256

Then, $P(y-x \leq 9) = \frac{81/2}{256} =\frac{81}{512}$

or $P(y-x \geq 9) = 1 - \frac{81}{512}=\frac{431}{512}$

Thus the answer is $\frac{431}{512}$

4 0
3 years ago
A sample of 100 cans of peas showed an average weight of 14 ounces with a standard deviation of 0.7 ounces. If the distribution
Roman55 [17]
This is an example of a normal distribution. An average weight is 14 ounces and a standard deviation is 0.7 ounces.
14.7 = 14 + 0.7 = Average + 1 Standard Deviation.
It means that the percent of cans that will weigh over 14.7 ounces is:
100% - ( 50 % + 34 % ) = 100% - 84% = 16%
16% of 100 cans:  16/100 * 100 = 16.
Answer: 16 cans. 
8 0
3 years ago
Read 2 more answers
A plane flew a total of 2,220 miles. Its average
mojhsa [17]

Answer:

4 Hours

Step-by-step explanation:

1). Since Speed (V) = Distance (D)/Time (t)

2). Then t=D/V ( transpose)

3). So t= 2220/555

t= 4 hours

The plane flew for four hours

8 0
4 years ago
Whats the inequality of R-2<7
VashaNatasha [74]

Answer:

R=9

Step-by-step explanation:

Change the sign of -2 to 2

Add 2 to 7

5 0
3 years ago
A company makes 3 types of cable. cable a requires 3 black, 3 white, and 2 red wires. b requires 1 black, 2 white, and 1 red. c
gavmur [86]
Check the attached file for the answer.

6 0
3 years ago
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