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Dmitry_Shevchenko [17]
1 year ago
7

PQ has endpoints P(-3,2) and Q(3,-2). Find the coordinates of the midpoint of PQ

Mathematics
1 answer:
hodyreva [135]1 year ago
6 0

Answer:

(0,0)

Step-by-step explanation:

For this, you need to use the midpoint formula.

(-3) + 3                      2 + (-2)

--------------      ,       ----------------

     2                               2

This leads to:

-3 + 3 = 0 -> 0/2

x = 0

3 + (-3) = 0 -> 0/2

The answer is:

(0, 0)

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1
Alona [7]

The speed of current will be "4.5 mph" and the rate Pratap can row in still water will be "8.5 mph".

What does "speed" mean in mathematics?

  • Speed is what it means. the speed of a change in an object's location in any direction.
  • Speed is defined as the ratio of distance to the amount of time it took to cover that distance.
  • Speed is a scalar quantity because it just has a direction and no magnitude.

Given:

Distance "26 miles" in time "2 hours".

Let,

Speed of water = y

Pratap speed when rowing in still water = x

As we know,

      Speed = distance/time

then,

  x + y = 26/2

  x + y = 13

 x = 13 - y

In return trip took him time "6.5 hours",

       x - y = 26/6.5

      x - y = 4

By substituting the value of "x", we get

 13 - y - y = 4

  13 - 2y = 4

     2y = 13 - 4

        2y = 9

          y = 9/4 = 4.5 mph (Rate of the current)

By substituting the value of "y", we get

    x = 13 - a

   x = 13 - 4. 5 = 8.5 mph (Pratap can row in still water)

Learn more about speed

brainly.com/question/28224010

#SPJ13

4 0
1 year ago
Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG ind
Gemiola [76]

Answer:

(a)

S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

(b)

i.

1\ girl = \{GBB, BBG, BGB\}

P(1\ girl) = 0.375

ii.

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

P(Atleast\ 2 \ girls) = 0.5

iii.

No\ girl = \{BBB\}

P(No\ girl) = 0.125

Step-by-step explanation:

Given

Children = 3

B = Boys

G = Girls

Solving (a): List all possible elements using set-roster notation.

The possible elements are:

S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

And the number of elements are:

n(S) = 8

Solving (bi) Exactly 1 girl

From the list of possible elements, we have:

1\ girl = \{GBB, BBG, BGB\}

And the number of the list is;

n(1\ girl) = 3

The probability is calculated as;

P(1\ girl) = \frac{n(1\ girl)}{n(S)}

P(1\ girl) = \frac{3}{8}

P(1\ girl) = 0.375

Solving (bi) At least 2 are girls

From the list of possible elements, we have:

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

And the number of the list is;

n(Atleast\ 2 \ girls) = 4

The probability is calculated as;

P(Atleast\ 2 \ girls) = \frac{n(Atleast\ 2 \ girls)}{n(S)}

P(Atleast\ 2 \ girls) = \frac{4}{8}

P(Atleast\ 2 \ girls) = 0.5

Solving (biii) No girl

From the list of possible elements, we have:

No\ girl = \{BBB\}

And the number of the list is;

n(No\ girl) = 1

The probability is calculated as;

P(No\ girl) = \frac{n(No\ girl)}{n(S)}

P(No\ girl) = \frac{1}{8}

P(No\ girl) = 0.125

7 0
3 years ago
Hgehergergherhgerhgergergergergerger
telo118 [61]
Hsiabwbshhdbevejsjsbsvs
4 0
3 years ago
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Joe Hernandez has inherited $25,000 and wishes to purchase an annuity that will provide him with a steady income over the next 1
mote1985 [20]

Answer:

p=2982

Step-by-step explanation:

Rate of interest = 6 % p.a

No of year = 12

P.V = $ 25000

Installments (p) = ?

We know the formula of P.V annuity

P.V = P[ 1-(1+r)-n/r]

25000 = P[1-(1+0.06)-12/0.06]

P = 2982 will withdraw annuity

8 0
3 years ago
Read 2 more answers
In a rectangle the ratio of the length to the width is 5/6. If the width is 30, find the length.
Over [174]

Answer:

the length of the rectangle is 25

4 0
2 years ago
Read 2 more answers
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