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3 years ago

8

Rational or Irrational? -√16

2 answers:

Nadya [2.5K]3 years ago

6 0

Answer:

Step-by-step explanation:

-√16= -√4*4= -4

Rational number

kolezko [41]3 years ago

6 0

Answer:

irrational

Step-by-step explanation:

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Solve for m <br> m+7=3+m+4

-BARSIC- [3]

The answer is no solution

6 0

3 years ago

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In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family t

sleet_krkn [62]

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

0.5 probability of a children being a girl:

This means that $p = 0.5$

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that $n = 4$ . So

$P(X < 2) = P(X = 0) + P(X = 1)$

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

$P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625$

$P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125$

0.3125 = 31.25% probability that it is not ideal.

7 0

2 years ago

Mice21 [21]

Answer:

Option A:

y = 3*(x - 5)^2 - 4

Step-by-step explanation:

For a quadratic equation:

y = a*x^2 + b*x + c

with the vertex (h, k), we can rewrite the function as:

such that:

h = -b/2*a

y = a*(x - h)^2 + k

Here we have the function:

y = 3*x^2 - 30*x + 71

the x-value of the vertex will be:

h = -(-30)/(2*3) = 30/6 = 5

And k is given by:

k = y(5) = 3*(5)^2 - 30*5 + 71 = -4

Then the vertex is:

(5, - 4)

And we can rewrite the equation in the vertex form as:

y = 3*(x - 5)^2 + (-4)

y = 3*(x - 5)^2 - 4

Then the correct option is A.

7 0

3 years ago

El valor de las variables

Leno4ka [110]

Answer:

<em>25 / 2</em>

Step-by-step explanation:

Find ( D × $\frac{E}{F}$ ) if D = 5, E = 10, F = 4

5 × $\frac{10}{4}$ = <em>25 / 2</em>

8 0

2 years ago

8g+10=35 + 3g math 1

lilavasa [31]

Answer:

g= 5

Step-by-step explanation:

8g+10 = 35 + 3g

-3g -3g

5g+10=35

-10 -10

5g= 25

now divide 5 from both sides

5g/5= 25/5

g= 5

5 0

3 years ago

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