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S_A_V [24]
3 years ago
15

Question 1(Multiple Choice Worth 2 points)

Mathematics
1 answer:
dusya [7]3 years ago
7 0

Answer:

6x +47

Step-by-step explanation:

f(x) = 6x + 11

g(x) = x + 6

now f[g(x)]=<em>by</em><em> </em><em>substituting</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>g</em><em> </em><em>(</em><em>x</em><em>)</em>

<em>to</em><em> </em><em>f</em><em> </em><em>(</em><em>x</em><em>)</em>

<em>f[g(x)]</em><em>=</em><em>6</em><em> </em><em>(</em><em>x</em><em>+</em><em>6</em><em>)</em><em>+</em><em>11</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>6x</em><em>+</em><em>36</em><em>+</em><em>11</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>6x</em><em> </em><em>+</em><em>47</em>

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Amar keeps picking playing cards out of a standard deck of 52 cards in the hopes that he will
lapo4ka [179]

Answer:

The required probability is, 0.78

Step-by-step explanation:

There are, (52 - 13) = 39 cards which are not spade

5 cards can be chosen from the deck of 52 cards in

^{52}{C}_{5}  ways

and out of these 5 choices, none of them will be spade in,

^{39}{C}_{5}  ways

So,

P(None of the chosen cards is spade)

= \frac {^{39}{C}_{5}}{^{52}{C}_{5}}

\simeq 0.22

Hence,

P(out of these 5 choices, at least one card is spade)

\simeq (1 - 0.22)

= 0.78

4 0
4 years ago
During winter, Detroit is colder than Boston but warmer than Minneapolis. Which inequality correctly compares the winter tempera
Nat2105 [25]
We will take one given at a time, the common place is "Detroit", so we will take it as a reference.

1- Detroit is colder than Boston, this means that:
Temperature in Detroit < Temperature in Boston .........> I

2- Detroit is warmer that <span>Minneapolis, this means that:
Temperature is </span><span>Minneapolis < Temperature in Detroit .........> II

From I and II, we can conclude that:
</span><span>Minneapolis has the lowest temperature, followed by Detroit and then Boston.

Comparing this to the choices, we will find that the correct choice is:
</span><span>2. Minneapolis's temperature < Detroit's temperature < Boston's temperature</span>
5 0
3 years ago
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She should have started with 44 boxes

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4 years ago
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C

Step-by-step explanation:

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Y=6x-11 -2x-3y=-7 solve each system of equation by substitution
Anit [1.1K]

Answer:

(2, 1 )

Step-by-step explanation:

Given the 2 equations

y = 6x - 11 → (1)

- 2x - 3y = - 7 → (2)

Substitute y = 6x - 11 into (2)

- 2x - 3(6x - 11) = - 7 ← distribute and simplify left side

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- 20x + 33 = - 7 ( subtract 33 from both sides )

- 20x = - 40 ( divide both sides by - 20 )

x = 2

Substitute x = 2 into (1) for corresponding value of y

y = 6(2) - 11 = 12 - 11 = 1

Solution is (2, 1 )

5 0
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