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4 years ago

Write the equation in standard form where A, B, and C are integers whose greatest common factor is 1.

Mathematics

1 answer:

snow_tiger [21]4 years ago

5 0

$y=7x+15\ \ \ \ |subtract\ 7x\ from\ both\ sides\\\\-7x+y=15\\\\A=-7;\ B=1;\ C=15$

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commander wished to arrange his 8,000 soldiers in the form of a square how many more will be required to complete the square

Temka [501]

Answer:

100

Step-by-step explanation:

Hello,

We are looking for the surrounding perfect squares.

$\sqrt{8000}=89.44272...$

$7921=89^2< 8000$

So we need 100 more soldiers to form a perfect square.

Hope this helps.

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4 years ago

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Zigmanuir [339]

Answer:

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Step-by-step explanation:

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3 years ago

Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they f

ikadub [295]

Answer:

The probability that in a one-game playoff, her score is more than 227 is 0.4404.

Step-by-step explanation:

We are given that Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they follow a normal distribution. Her average score is 225, with a standard deviation of 13.

<em>Let, X = scores over that period of time</em>

X ~ N( $\mu = 225, \sigma = 13^{2}$ )

The z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = average score

$\sigma$ = standard deviation

So, probability that in a one-game playoff, her score is more than 227 is given by = P(X > 227)

P(X > 227) = P( $\frac{X-\mu}{\sigma}$ < $\frac{227-225}{13}$ ) = P(Z > 0.15) = 1 - P(Z $\leq$ 0.15)

= 1 - 0.55962 = 0.4404

Therefore, probability that in a one-game playoff, her score is more than 227 is 0.4404.

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3 years ago

Juan is determining the volume of a box using the expression 7.2*8.4*12.8 how many digits will be shown to the right of the deci

beks73 [17]

Answer:

Juan will have 3 digits after decimal.

Step-by-step explanation:

A number having one digit after decimal when multiplied by another number having single digit after decimal, we get a number having two digits after decimal.

Example:

0.2 × 0.6 = 0.12

0.3 × 0.3 = 0.09

Now we have to find the volume of a box having dimensions 7.2 units by 8.4 units by 12.8 units.

Volume = 7.2×8.4×12.8 [Each number having one digit after decimal]

= 774.144 unit³ [Number with 3 digits after decimal]

Therefore, Juan will have 3 digits after decimal in the final answer.

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3 years ago

Can someone help me please

babunello [35]

If the functions are inverses, then f(g(x)) = x.

$\displaystyle f(g(x))=f\left(\frac{3x+1}{3}\right)=\frac{1}{\frac{3x+1}{x}-3}\\\\=\frac{1}{\left(\frac{3x+1-3x}{x}\right)}=\frac{1}{\left(\frac{1}{x}\right)}=x$

The functions are inverses of each other.

B. The domain of f(x) = x≠3. The domain of g(x) is x≠0.

The domain of f(g(x)) is (-∞, 0) ∪ (0, ∞).

The domain of g(f(x)) is (-∞, 3) ∪ (3, ∞).

4 0

3 years ago