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Iteru [2.4K]
2 years ago
10

Plss help!Question: Find a,b and c​

Mathematics
1 answer:
Roman55 [17]2 years ago
6 0

Answer:

See below, please

Step-by-step explanation:

The right:

{(y + c)}^{2}  - b \times (x + a) \\  = ( {y}^{2}  + 2yc +  {c}^{2} ) - bx - ba  =

= {y}^{2}  - bx + 2cy +  {c}^{2}  - ab

The left:

=  {y}^{2}  - 7x - 18y + 109

So, after comparing the right side and the left side of this equation, we know

1)

b = 7

2)

2c =  - 18 \\ so \\ c =  - 9

3)

{c}^{2}  - ab = 109

So,

a =  \frac{ {c}^{2}  - 109}{b}  =  \frac{ { (- 9)}^{2}  - 109}{7}  =  \frac{ - 28}{7}  =  - 4

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A public health organization reports that 40%of baby boys 6-8 months old in the United
Sveta_85 [38]

Using the binomial distribution, the probabilities are given as follows:

  • 0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
  • 0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
  • Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

The values of the parameters for this problem are:

n = 10, p = 0.4.

The probability that more than 4 weigh more than 20 pounds is:

P(X > 4) = 1 - P(X \leq 4)

In which:

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.4)^{0}.(0.6)^{10} = 0.0061

P(X = 1) = C_{10,1}.(0.4)^{1}.(0.6)^{9} = 0.0403

P(X = 2) = C_{10,2}.(0.4)^{2}.(0.6)^{8} = 0.1209

P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.2150

P(X = 4) = C_{10,4}.(0.4)^{4}.(0.6)^{6} = 0.2502

Hence:

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0061 + 0.0403 + 0.1209 + 0.2150 + 0.2502 = 0.6325

P(X > 4) = 1 - P(X \leq 4) = 1 - 0.6325 = 0.3675

0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.

The probability that fewer than 3 weigh more than 20 pounds is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0061 + 0.0403 + 0.1209 = 0.1673

0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.

For more than 7, the probability is:

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{10,8}.(0.4)^{8}.(0.6)^{2} = 0.0106

P(X = 9) = C_{10,9}.(0.4)^{9}.(0.6)^{1} = 0.0016

P(X = 10) = C_{10,10}.(0.4)^{10}.(0.6)^{0} = 0.0001

Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
1 year ago
Need help please very confuzzled
SVEN [57.7K]
I'm not too sure either.

5(5) + 3(5) = 40 and

5(2) + 3 (10) = 40

If you can't think of anything maybe that'll help
7 0
3 years ago
Read 2 more answers
In simplified form, V18 is
yulyashka [42]

Answer: 4.24264069

Step-by-step explanation: I think you mean the square root?

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3 years ago
A triangle has one Angle that measures 31° one angle that measures 45° and one angle that measures 140° what kind a triangle is
qaws [65]

unequal Triangle

If two sides of a triangle are unequal, The angle opposite to the greater side is greater than the angle opposite to less.That is,

In a triangle ΔABC,

if AC > AB then ∠B > ∠C

6 0
2 years ago
In a sample of 53 walking canes, the average length was found to be 34.3in. with a variance of 1.9. Give a point estimate for th
Anna11 [10]

Answer:

1.38

Step-by-step explanation:

The point estimate for the population standard deviation of the length of the walking canes is given as the squareroot of variance. Since variance is provided as 1.9 then the standard deviation will be

\sqrt 1.9=1.37840487520902\approx 1.38

Therefore, rounded off to two decimal places, the standard deviation is approximately 1.38

6 0
2 years ago
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