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2 years ago

(0) a^2+За + За +9 Factorise

Mathematics

1 answer:

VashaNatasha [74]2 years ago

6 0

Answer:

a^2+6a+9

Step-by-step explanation:

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For about $1 billion in new space shuttle expenditures, NASA has proposed to install new heat pumps, power heads, heat exchanger

11111nata11111 [884]

Answer:

The probability of one or more catastrophes in:

(1) Two mission is 0.0166.

(2) Five mission is 0.0410.

(3) Ten mission is 0.0803.

(4) Fifty mission is 0.3419.

Step-by-step explanation:

Let X = number of catastrophes in the missions.

The probability of a catastrophe in a mission is, P (X) = $p=\frac{1}{120}$ .

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

$P(X=x)={n\choose x}\frac{1}{120}^{x}(1-\frac{1}{120})^{n-x};\x=0,1,2,3...$

In this case we need to compute the probability of 1 or more than 1 catastrophes in n missions.

Then the value of P (X ≥ 1) is:

P (X ≥ 1) = 1 - P (X < 1)

= 1 - P (X = 0)

$=1-{n\choose 0}\frac{1}{120}^{0}(1-\frac{1}{120})^{n-0}\\=1-(1\times1\times(1-\frac{1}{120})^{n-0})\\=1-(1-\frac{1}{120})^{n-0}$

(1)

Compute the compute the probability of 1 or more than 1 catastrophes in 2 missions as follows:

$P(X\geq 1)=1-(1-\frac{1}{120})^{2-0}=1-0.9834=0.0166$

(2)

Compute the compute the probability of 1 or more than 1 catastrophes in 5 missions as follows:

$P(X\geq 1)=1-(1-\frac{1}{120})^{5-0}=1-0.9590=0.0410$

(3)

Compute the compute the probability of 1 or more than 1 catastrophes in 10 missions as follows:

$P(X\geq 1)=1-(1-\frac{1}{120})^{10-0}=1-0.9197=0.0803$

(4)

Compute the compute the probability of 1 or more than 1 catastrophes in 50 missions as follows:

$P(X\geq 1)=1-(1-\frac{1}{120})^{50-0}=1-0.6581=0.3419$

6 0

3 years ago

The sum of five consecutive numbers is 700, what is the first number?

Feliz [49]

Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be x.

Then since they are consecutive numbers, the second number will be (x + 1), the third (x + 2), the fourth (x + 3) and the fifth being (x + 4).

We are given that their sum is 700. Therefore:

$x+(x+1)+(x+2)+(x+3)+(x+4)=700$

Solve for x. Combine like terms:

$5x+10=700$

Subtract 10 from both sides:

$5x=690$

Divide both sides by five. Therefore:

$x=138$

The first number is 138.

5 0

3 years ago

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6. Active is an energy drink that claims to provide physical strength. To test this claim, the

katen-ka-za [31]

Answer:

D) The standard deviation of the residuals

Step-by-step explanation:

5 0

3 years ago

Fins the least number which should be added to 4100 to get a perfect square. also find the square root of the perfect square.

nadezda [96]

First do prime fraction of 273584. Then make pair of 2 ( same number ) . Then add the number which did not come in pair to the original number.

992

273584+992=274576

root 274576 = 524

524^2= 274576 = Answer

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3 years ago

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If i travel 568 miles in 8 hours how many miles did i travel in one hour

Harrizon [31]

568 ÷ 8 = 71 miles in one hour

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3 years ago

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