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miskamm [114]
3 years ago
8

Use front-end estimation to estimate the sum 56.7+23.44

Mathematics
1 answer:
kherson [118]3 years ago
6 0

Answer:

80.14

Step-by-step explanation:

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Simplify the expression 36+18x
quester [9]
The answer is 54x because 36+18=54, but then you have the x, so your answer is 54x
3 0
3 years ago
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Five cards are drawn from a standard 52-card playing deck. A gambler has been dealt five cards—two aces, one king, one 3, and on
Nookie1986 [14]

Answer:

The probability that he ends up with a full house is 0.0083.

Step-by-step explanation:

We are given that a gambler has been dealt five cards—two aces, one king, one 3, and one 6. He discards the 3 and the 6 and is dealt two more cards.

We have to find the probability that he ends up with a full house (3 cards of one kind, 2 cards of another kind).

We know that gambler will end up with a full house in two different ways (knowing that he has given two more cards);

  • If he is given with two kings.
  • If he is given one king and one ace.

Only in these two situations, he will end up with a full house.

Now, there are three kings and two aces left which means at the time of drawing cards from the deck, the available cards will be 47.

So, the ways in which we can draw two kings from available three kings is given by =  \frac{^{3}C_2 }{^{47}C_2}   {∵ one king is already there}

              =  \frac{3!}{2! \times 1!}\times \frac{2! \times 45!}{47!}           {∵ ^{n}C_r = \frac{n!}{r! \times (n-r)!} }

              =  \frac{3}{1081}  =  0.0028

Similarly, the ways in which one king and one ace can be drawn from available 3 kings and 2 aces is given by =  \frac{^{3}C_1 \times ^{2}C_1 }{^{47}C_2}

                                                                   =  \frac{3!}{1! \times 2!}\times \frac{2!}{1! \times 1!} \times \frac{2! \times 45!}{47!}

                                                                   =  \frac{6}{1081}  =  0.0055

Now, probability that he ends up with a full house = \frac{3}{1081} + \frac{6}{1081}

                                                                                    =  \frac{9}{1081} = <u>0.0083</u>.

3 0
3 years ago
Read 2 more answers
Line a and line b are parallel. Which is a true statement about the lines?
slamgirl [31]

Where is the answer choice????

5 0
3 years ago
Which is the most economic way to lessen electric consumption?
AysviL [449]

Answer:

1) c. Use only appliances to do the most important task in the house.

2) b. 112kwh

3) b. 111kwh

Step-by-step explanation:

Energy can be defined as the ability (capacity) to do work and it's measured in Joules. The various forms of energy are solar energy, chemical energy, thermal energy, wind energy, nuclear energy, electrical energy, etc.

Power can be defined as the energy required to do work per unit time.

Mathematically, it is given by the formula;

Power = \frac {Energy}{time}

Energy consumption is the total amount of power used by an electronic device per unit time and it's measured in Watt-hour or Kilowatt-hour.

Mathematically, it is given by the formula;

Energy = power * time

Generally, the most economic way to lessen electric consumption is by ensuring only the important electrical appliances are used at all times.

2. Given the following data;

Previous reading = 2156 KWh

Present reading = 2268 KWh

To find how many kilowatt-hour was consumed;

Energy consumption = present reading - previous reading

Energy consumption = 2268 - 2156

<em>Energy consumption = 112 KWh</em>

3. Given the following data;

Previous reading = 5512 KWh

Present reading = 5623 KWh

To find the electrical consumption of Falogme Family;

Electrical consumption = present reading - previous reading

Electrical consumption = 5623 - 5512

<em>Electrical consumption = 111 KWh</em>

6 0
3 years ago
Find the value of x in this equation. 25(4x − 3) − 2x = 45 − x
Charra [1.4K]

Answer:

x=40/33

Step-by-step explanation:

Let's solve your equation step-by-step.

25(4x−3)−2x=45−x

Step 1: Simplify both sides of the equation.

25(4x−3)−2x=45−x

(25)(4x)+(25)(−3)+−2x=45+−x(Distribute)

100x+−75+−2x=45+−x

(100x+−2x)+(−75)=−x+45(Combine Like Terms)

98x+−75=−x+45

98x−75=−x+45

Step 2: Add x to both sides.

98x−75+x=−x+45+x

99x−75=45

Step 3: Add 75 to both sides.

99x−75+75=45+75

99x=120

Step 4: Divide both sides by 99.

99x

99

=

120

99

x=

40

33

Answer:

x=40/33

7 0
3 years ago
Read 2 more answers
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