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NISA [10]
3 years ago
8

A line has a slope of 3 and contains the point (-1, -8). Which equation represents the line?

Mathematics
1 answer:
jasenka [17]3 years ago
8 0
Your answer is C, <span>y+8=3(x+1)</span>
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Three identical fair coins are thrown simultaneously until all three show the same face. What is the probability that they are t
mixer [17]

Answer:

The probability that the coins are thrown more than three times to show the same face is 0.3164.

Step-by-step explanation:

The problem is related to Geometric distribution.

The Geometric distribution defines the probability distribution of <em>X</em> failures before the first success.

The probability distribution function is:

P(X=k)=(1-p)^{k}p;\    k = 0, 1, 2, ...

First compute the probability that in the i^{th} throw all the three coins will show the same face.

P (All the 3 coins shows the same face) = P (All the three coins shows Heads) + P (All the three coins shows Tails)

                      =(\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2} )+(\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2} )\\=\frac{1}{8}+\frac{1}{8}\\  =\frac{2}{8} \\=\frac{1}{4}

Now compute the probability that it takes more than 3 throws for the coins to show the same face.

P (<em>X</em> > 3) = 1 - P (<em>X</em> ≤ 3)

=1-[P(X=1)+P(X=2)+P(X=3)]\\=1-[[(1-\frac{1}{4} )^{0}\times\frac{1}{4}]+[(1-\frac{1}{4} )^{1}\times\frac{1}{4}]+ [(1-\frac{1}{4} )^{2}\times\frac{1}{4}]+[(1-\frac{1}{4} )^{3}\times\frac{1}{4}]]\\=1-[0.2500+0.1875+0.1406+0.1055]\\=1-0.6836\\=0.3164

Thus, the probability that it takes more than 3 throws for the coins to show the same face is 0.3164.

8 0
3 years ago
What value of n makes the equation true?
In-s [12.5K]

Answer:

-0.7

Step-by-step explanation:

First do 3.2-1.8= 1.4. So now we know that -2n=1.4. Next you solve for n to get the answer of -0.7 with your answer of the third option.

4 0
3 years ago
Which best describes the shape of this distribution?
tiny-mole [99]

Answer:

Step-by-step explanation:

unimodal skewed

7 0
4 years ago
7 − 9x − (x + 12) less than or equal to 25?
Nonamiya [84]

Answer:

x  ≥-3

Step-by-step explanation:

7 − 9x − (x + 12) less than or equal to 25

7 − 9x − (x + 12) ≤ 25

Distribute the minus sign

7 − 9x − x - 12 ≤ 25

Combine like terms

− 10x −5 ≤ 25

Add 5 to each side

− 10x −5+5 ≤ 25+5

− 10x ≤ 30

Divide by -10. Remember that this flips the inequality

− 10x/-10 ≥30/-10

x  ≥-3

6 0
3 years ago
PLEESE !!!!!!!!!!!!!!!!!!!!!!!!!
slavikrds [6]
1. 5 faces
2. 4 triangles
3. 6(4)1/2=12 in
4. 36in squared=91.44cm squared
5. 12(4)=48 in squared=121.92 cm sqaured
6. 82 in squared=208.28 cm squared
7 0
3 years ago
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