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Alex
1 year ago
7

Answer to {[(8 - 3) x 2] + [(5 x 6) - 5]} divided by 5

Mathematics
1 answer:
maksim [4K]1 year ago
8 0

Answer: 8x - 1

Step-by-step explanation:

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The weight of oranges growing in an orchard is normally distributed with a mean weight of 6.5 oz. and a standard deviation of 1.
sergey [27]
Add 3 standard deviations above and below the mean to get the range in which 99.7% of the data in a normal distribution will fall
6.5 + 4.5 = 11
6.5 - 4.5 = 2
So 2 to 11 ounces would be the interval
6 0
2 years ago
Tanya finds 22 leaves Maurice finds 5 more leaves than Tanya finds how many leaves do the two children find
Mila [183]

Answer:

22 + 27 = <u><em>49</em></u>

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:) :)

8 0
3 years ago
Read 2 more answers
please help me, Prove a quadrilateral with vertices G(1,-1), H(5,1), I(4,3) and J(0,1) is a rectangle using the parallelogram me
mestny [16]

Answer:

Step-by-step explanation:

We are given the coordinates of a quadrilateral that is G(1,-1), H(5,1), I(4,3) and J(0,1).

Now, before proving that this quadrilateral is a rectangle, we will prove that it is a parallelogram. For this, we will prove that the mid points of the diagonals of the quadrilateral are  equal, thus

Join JH and GI such that they form the diagonals of the quadrilateral.Now,

JH=\sqrt{(5-0)^{2}+(1-1)^{2}}=5 and

GI=\sqrt{(4-1)^{2}+(3+1)^{2}}=5

Now, mid point of JH=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

=(\frac{5+0}{2},\frac{1+1}{2})=(\frac{5}{2},1)

Mid point of GI=(\frac{5}{2},1)

Since, mid point point of JH and GI are equal, thus GHIJ is a parallelogram.

Now, to prove that it is a rectangle, it is sufficient to prove that it has a right angle by using the Pythagoras theorem.

Thus, From ΔGIJ, we have

(GI)^{2}=(IJ)^{2}+(JG)^{2}                             (1)

Now, JI=\sqrt{(4-0)^{2}+(3-1)^{2}}=\sqrt{20} and GJ=\sqrt{(0-1)^{2}+(1+1)^{2}}=\sqrt{5}

Substituting these values in (1), we get

5^{2}=(\sqrt{20})^{2}+(\sqrt{5})^{2} }

25=20+5

25=25

Thus, GIJ is a right angles triangle.

Hence, GHIJ is a rectangle.

Also, The diagonals GI=\sqrt{(4-1)^{2}+(3+1)^{2}}=5  and HJ=\sqrt{(0-5)^2+(1-1)^2}=5 are equal, thus, GHIJ is a rectangle.

6 0
2 years ago
The sets of numbers 3, 4, 5 and 5, 12, 13 are examples
Wewaii [24]

Answer:

  • 8, 15, 17 — yes
  • 15, 20, 25 — yes
  • 20, 48, 52 — yes
  • 2, 9, 11 — no
  • 39, 80, 89​ — yes

Step-by-step explanation:

The squares of the three numbers in each of the given triples are listed. When the sum of the first two numbers is equal to the third, the set of numbers in the triple is a Pythagorean triple.

  {64, 225, 289}, yes

  {225, 400, 625}, yes — a 3,4,5 triple multiplied by 5

  {400, 2304, 2704}, yes — a 5,12,13 triple multiplied by 4

  {4, 81, 121}, no*

  {1521, 6400, 7921}, yes.

___

* the smallest set of integers that is a Pythagorean triple is {3, 4, 5}. The number 2 in this group tells you this cannot be a PT.

8 0
3 years ago
Read 2 more answers
Estimate the mean number of games the boys attended.
Olin [163]

Answer:

the mean is 8

Step-by-step explanation:

5 +7+8+8+9+11= 48  

48/6= 8

6 0
2 years ago
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