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olga55 [171]
3 years ago
12

2. What is the midpoint of (5,3) and (-3,-7)?

Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0

Answer: (1,-2)

Step-by-step explanation: 5+-3 equals 2. 2 divided by 2 is 1 (one of the midpoints) and 3+-7 equals -4. -4 divided by 2 is -2.

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How do I find the value of x?
UkoKoshka [18]
The angles ACD and Angle ABE are congruent so there measure is equal.
3x+14=50
3x= 50-14
3x= 36
X= 36/3=12
6 0
3 years ago
The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The cou
Scilla [17]

Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as\sigma^2 = mean = 6.2

hence, standard deviation is given as \sqrt{6.2} = 2.48998

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is

P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)

                 = \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}

                 = 0.002029 + 0.012582+ 0.039006

                 = 0.053617

                = 0.0536

7 0
3 years ago
Expand the following 2(x+3)
Maksim231197 [3]

Answer:

2x + 6

Step-by-step explanation:

2 will multiply everything inside the bracket.

2 x X =2x

2 X 3=6

6 0
3 years ago
Read 2 more answers
Karl is building a rectangular garden bed. The length is 6 feet. She has 20 feet of boards to make the sides. Write and solve an
natali 33 [55]

Answer:

The width of the garden bed must be less than or equal to 4 feet.

w\leq4

Explanation:

Given that;

She has 20 feet of boards to make the sides.

The perimeter of the garden bed must not be more than 20 feet

\begin{gathered} P=2l+2w\leq20 \\ 2l+2w\leq20 \end{gathered}

Given;

The length is 6 feet;

l=6

To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;

\begin{gathered} 2l+2w\leq20 \\ 2(6)+2w\leq20 \\ 12+2w\leq20 \\ 2w\leq20-12 \\ 2w\leq8 \\ \frac{2w}{2}\leq\frac{8}{2} \\ w\leq4 \end{gathered}

Therefore, the width of the garden bed must be less than or equal to 4 feet.

w\leq4

8 0
1 year ago
Which of the following is a fifth degree trinomial with a quadratic term and a negative leading
ExtremeBDS [4]
Please enter in a picture
7 0
3 years ago
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