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djyliett [7]
2 years ago
12

If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8,6).

Mathematics
1 answer:
NeTakaya2 years ago
7 0

Answer:

(2, -8)

Step-by-step explanation:

The coordinates of M are the average of the coordinates of X and Y.

-3 = (x + -8) / 2

-1 = (y + 6) / 2

Solving:

x = 2

y = -8

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Peyton was selected the most valuable player in the Super Bowl. In recognition of this, he was awarded an automobile with a valu
dlinn [17]

Answer:

$60,000 gross income will include.

Step-by-step explanation:

The recognition would not meet the correct form of achievement criteria to be considered for deduction from gross taxes. In addition, the clause requiring the winner to donate the award to an eligible national government or non - governmental organization entity is not met.

3 0
3 years ago
If A( 6, -1) , B( 1,3) and C( k, 8) are three points such that AB = BC, find the value of k
Drupady [299]

Answer:

De value of k is 9

Step-by-step explanation:

6,-1

b(1,3)

(k,8)

am using bodmas

a6-1×1=6a

b1×3=3b

abc=8

6a+3b+8=17-8

=9

7 0
3 years ago
The port of South Louisiana, located along 54 miles of the Mississippi River between New Orleans and Baton Rouge, is the largest
Ksenya-84 [330]

Answer:

a) 0.7287

b) 0.9663

c) 0.237

d) 3.65 tons of cargo per week or more that will require the port to extend its operating hours.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  4.5 million tons of cargo per week

Standard Deviation, σ = 0 .82 million tons

We are given that the distribution of number of tons of cargo handled per week is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P( port handles less than 5 million tons of cargo per week)

P(x < 5)

P( x < 5) = P( z < \displaystyle\frac{5 - 4.5}{0.82}) = P(z < 0.609)

Calculation the value from standard normal z table, we have,  

P(x < 5) =0.7287= 72.87\%

b) P( port handles 3 or more million tons of cargo per week)

P(x \geq 3) = P(z \geq \displaystyle\frac{3-4.5}{0.82}) = P(z \geq −1.82926)\\\\P( z \geq −1.82926) = 1 - P(z < -1.829)

Calculating the value from the standard normal table we have,

1 - 0.0337 = 0.9663 = 96.63\%\\P( x \geq 3) = 96.63\%

c)P( port handles between 3 million and 4 million tons of cargo per week)

P(3 \leq x \leq 4) = P(\displaystyle\frac{3 - 4.5}{0.82} \leq z \leq \displaystyle\frac{4-4.5}{0.82}) = P(-1.829 \leq z \leq -0.609)\\\\= P(z \leq -0.609) - P(z < -1.829)\\= 0.271-0.034 = 0.237= 23.7\%

P(3 \leq x \leq 4) = 23.7\%

d) P(X=x) = 0.85

We have to find the value of x such that the probability is 0.85.

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 4.5}{0.82})=0.85  

= 1 -P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.85  

=P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.15  

Calculation the value from standard normal z table, we have,  

P( z \leq -1.036) = 0.15

\displaystyle\frac{x - 4.5}{0.82} = -1.036\\x = 3.65

Thus, 3.65 tons of cargo per week or more that will require the port to extend its operating hours.

8 0
2 years ago
The image below shows the graph of a sound recorded on an oscilloscope. What are the period and the amplitude? (Each unit on the
Serhud [2]
Remember that the period of a sinusoidal function <span>is the vertical distance between the t-axis and one of the extreme points.</span> From the graph we can infer that the period of the function is 4.5.

Also, the amplitude is<span> the distance between two consecutive maximum or two consecutive minimum points. From the graph we can infer that the amplitude of the function is 0.05 seconds.

We can conclude that the correct answer is: 0.05 seconds; 4.5
</span>
7 0
2 years ago
Read 2 more answers
Erin is 8 years younger than twice Paula’s age. The sum of their ages is 40. How old is Erin
Lina20 [59]
You do the sum(40) subtracted by 8, the answer from that divided by 2 since Erin's two times younger.
40-8=32
32÷2=16
Then if you want to check it you do the opposite and get the same sum(40) so 16×2=32 and 32+8=40
6 0
3 years ago
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