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gtnhenbr [62]
3 years ago
7

Need help with this question

Mathematics
1 answer:
sergey [27]3 years ago
6 0

Step-by-step explanation:

After a red 3, the highest possible sum is 3 + 6 = 9.

So P(sum ≥ 10) = 0 after a red 3 has occurred.

There are 5 ways the sum can be greater than or equal to 10 (4 and 6, 6 and 4, 5 and 5, 5 and 6, 6 and 5).  There are a total of 36 possible permutations.  Therefore:

P(sum ≥ 10) = 5/36

The conditional probability is:

P(sum ≥ 10 | red 3) = P(sum ≥ 10 AND red 3) / P(red 3)

P(sum ≥ 10 | red 3) = 0 / (1/6)

P(sum ≥ 10 | red 3) = 0

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Quadrilateral ABCD is a rectangle. If AG = -7j + 7 and DG = 5j + 43, find BD
Kaylis [27]

<em>BD</em> = 56

Step-by-step explanation:

Step 1: In rectangle, the diagonals are congruent and bisect each other.

So, <em>AC</em> = <em>BD</em>

⇒<em>AG</em> + <em>GC</em> = <em>BG</em> + <em>GD</em>

⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>

⇒ 2<em>AG</em> = 2<em>GD</em>

⇒<em>AG</em> = <em>GD</em>

⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43

⇒–7<em>j</em> – 5<em>j</em> = 43 – 7

⇒–12<em>j</em> = 36

⇒<em>j</em> = –3

Step 2: <em>BD</em> = 2<em>DG</em>

<em>BD</em> = 2(5<em>j</em> + 43)

     = 2(5 (–3) + 43)

     = 2(–15 + 43)

     = 2 × 28

     = 56

Hence, <em>BD</em> = 56.

4 0
3 years ago
Eight friends are sharing 3 pizzas. The pizzas are the same size, and each person will eat the same amount. What fraction tells
Stolb23 [73]

\frac{8}{3}
3 0
3 years ago
Given the data below:
Leno4ka [110]

Answer:

5.16

Step-by-step explanation:

Since after x=3, value of y starts decreasing for increasing values of x, let's choose. Also we need to find f(x) for x=3.4

x=3,4,5 and f(x)=7,3,1 to find lagrange polynomial

P(x)= ((x-x2)(x-x3)y1)/((x1-x2)(x1-x3) + ((x-x1)(x-x3)y2)/((x2-x1)(x2-x3) + ((x-x1)(x-x2)y3)/((x3-x1)(x3-x2)

P(x)= ((x-4)(x-5)7)/((3-4)(3-5)) + ((x-3)(x-5)3)/((4-3)(4-5)) + ((x-3)(x-4)1)/((5-3)(5-4))

P(x)= x² -11x+31

P(3.4)= 5.16

7 0
3 years ago
The number 0.8 can be written as 8/10 is it an irrational number
Artemon [7]
Hello there!

0.8 is not irrational

If a number can be written with a perfect fraction, it is rational

Hope I helped!

Let me know if you need anything else!

~ Zoe               <span />
5 0
3 years ago
Read 2 more answers
Determine whether (18+35)x4=18 +35x4 is true or false. explain
Marizza181 [45]
False, because it would no longer be 18 alone because of the disturbutive property.
8 0
3 years ago
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