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3 years ago

Is the function f(x) = 10 linear or nonlinear?

Mathematics

1 answer:

Lina20 [59]3 years ago

3 0

Nonlinear
Linear function needs X for exponent 1
This is constant function.

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Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG ind

Gemiola [76]

Answer:

(a)

$S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}$

(b)

$1\ girl = \{GBB, BBG, BGB\}$

$P(1\ girl) = 0.375$

ii.

$Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}$

$P(Atleast\ 2 \ girls) = 0.5$

iii.

$No\ girl = \{BBB\}$

$P(No\ girl) = 0.125$

Step-by-step explanation:

Given

$Children = 3$

$B = Boys$

$G = Girls$

Solving (a): List all possible elements using set-roster notation.

The possible elements are:

$S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}$

And the number of elements are:

$n(S) = 8$

Solving (bi) Exactly 1 girl

From the list of possible elements, we have:

$1\ girl = \{GBB, BBG, BGB\}$

And the number of the list is;

$n(1\ girl) = 3$

The probability is calculated as;

$P(1\ girl) = \frac{n(1\ girl)}{n(S)}$

$P(1\ girl) = \frac{3}{8}$

$P(1\ girl) = 0.375$

Solving (bi) At least 2 are girls

From the list of possible elements, we have:

$Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}$

And the number of the list is;

$n(Atleast\ 2 \ girls) = 4$

The probability is calculated as;

$P(Atleast\ 2 \ girls) = \frac{n(Atleast\ 2 \ girls)}{n(S)}$

$P(Atleast\ 2 \ girls) = \frac{4}{8}$

$P(Atleast\ 2 \ girls) = 0.5$

Solving (biii) No girl

From the list of possible elements, we have:

$No\ girl = \{BBB\}$

And the number of the list is;

$n(No\ girl) = 1$

The probability is calculated as;

$P(No\ girl) = \frac{n(No\ girl)}{n(S)}$

$P(No\ girl) = \frac{1}{8}$

$P(No\ girl) = 0.125$

7 0

3 years ago

A car starts with a speed of 20km/ hr and accelerates at a rate of 3.4 m/s for 20 seconds. What is the final speed of the car in

Schach [20]

The relevant formula that we can use in this situation is:

v = v0 + at

where v is the final velocity, v0 is the initial velocity = 20 km/hr, a is acceleration at 3.4 m/s^2 and t is time at 20 seconds

First convert v0 to m/s, v0 = 5.56 m/s

v = 5.56 m/s + 3.4 m/s^2 * 20 s

v = 73.56 m/s

Then convert back to km/hr:

5 0

3 years ago

A sauna has an initial temperature of 80° If the opening to the sauna is left open, and the temperature therefore decreases by 3

ddd [48]

Answer:

71.6°

Step-by-step explanation:

=210s÷60s(1 minutes)

=3.5mins

=3.5mins×3%(=1min)

=10.5%

=100%-10.5%

=89.5%

=89.5%/100×80°

=71.6°

Hope this will help ya!

5 0

3 years ago

10.

Alinara [238K]

It is the first answer, loss of $701.80

5 0

3 years ago

What do you know to be true about the values of p and q.

Jobisdone [24]

Answer:

A. p = q

Step-by-step explanation:

For each triangle, add the angles together and then subtract the sum from 180°.

First triangle:

60° + 50° = 110°

180° - 110° = 70°

Missing angle = 70°

Second triangle:

80° + 30° = 110°

180° - 110° = 70°

Missing angle = 70°

Hope this helps :)

6 0

3 years ago