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3 years ago

The midpoint of JK is M(5, 6). One endpoint is J(7, 7). Find the coordinates of the other

Mathematics

1 answer:

iris [78.8K]3 years ago

6 0

Answer:

K(3, 5)

Step-by-step explanation:

let K(x, y)

then x + 7 = 5*2 and y + 7 = 6*2 by the midpoint theorem.

solving, x = 3, y = 5

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Solve the problem. A variable x has the possible observations shown below. Possible observations of x: -3 -1 0 1 1 2 4 4 5 Find

svp [43]

Answer:

The z-score corresponding to an observed value of x of 2 is 0.215.

Step-by-step explanation:

We are given that a variable x has the possible observations shown below;

Possible observations of X: -3, -1, 0, 1, 1, 2, 4, 4, 5.

Firstly, we will find the mean and the standard deviation of X, i.e;

Mean of X, ( $\mu$ ) = $\frac{\sum X}{n}$

= $\frac{(-3)+ (-1)+ 0+ 1+ 1+ 2+ 4+ 4+ 5}{9}$

= $\frac{13}{9}$ = 1.44

Standard deviation of X, ( $\sigma$ ) = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{(-3-1.44)^{2}+(-1-1.44)^{2}+......+(4-1.44)^{2}+(5-1.44)^{2} }{9-1} }$

= 2.603

Now, the z-score corresponding to an observed value of x of 2 is given by;

z-score = $\frac{X-\mu}{\sigma}$

= $\frac{2-1.44}{2.603}$ = 0.215.

4 0

3 years ago

I have to finish dis math assignment can yall help meh im stuck

valentinak56 [21]

Answer:

Step-by-step explanation:

Is there more to this?

3 0

3 years ago

What is 8% of 40 as a decimal

vladimir2022 [97]

Answer:

The answer is 3.2

Step-by-step explanation:

8 x 40
________
100
= 3.2

4 0

2 years ago

A salesman travelled 2/5 of his journey before lunch and 3/8 of his journey after lunch.

AysviL [449]

2/5+3/8= 31/40 therefore he still has 9/40 to go.
to get this you multiply the two denominators together
5x8=40 which is your denominator
then you cross multiply the two numerators
2x8=16
3x5=15
to get the final
15/40+16/40=31/40
and you are left with 9/40

7 0

3 years ago

What is the area of this composite figure?

Zarrin [17]

Answer:

35 ft^2

Step-by-step explanation:

Area of the first rectangle

A = 8 x 2 = 16 ft^2

area of the second rectangle

A = 5 x 2 = 10 ft^2

area of the square

A = 3^2 = 9 ft^2

total area

A = 16 + 10 + 9 = 35 ft^2

5 0

3 years ago