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3 years ago

How to solve (x-10)(x + 10)

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

6 0

Answer:

Multiplying/simplifying, it is x^2-100(found by the FOIL method)

Step-by-step explanation:

multiply the commons factors x times x is x squared

-10 times 10 is -100. Negative times positive is negative.

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A coin is tossed four times What is the probability of getting four heads? (1 mark) a) b) What is the probability of getting exa

BlackZzzverrR [31]

<h2>Answer:</h2>

1. A coin is tossed four times. What is the probability of getting four heads?

Each toss has a 1/2 chance of getting a head.

So the chance of getting all four heads can be calculated as :

$1/2\times1/2\times1/2\times1/2=1/16$

2. A coin is tossed four times. What is the probability of getting two heads?

Each toss can have 2 results, so 4 flips will have $2^{4}$ or 16 results.

Getting two heads means getting two tails also. So, we can get the number of times two heads come = $\frac{4!}{2!2!}$ = 6

We can write the groups like - {HHTT,HTHT,HTTH,THHT,THTH,TTHH}

So, the required probability is : 6/16 or 3/8.

3. Not getting two heads means getting 3 tails and 1 head or all tails.

Probability of having all tails = $1/2\times1/2\times1/2\times1/2=1/16$

Probability of one head(1st trial) and three tails = 1/16

Probability of one head (2nd trial) and three tails (the 1st, 3rd and 4th trials) = 1/16

Probability of one head (3rd trial) and three tails (the 1st, 2nd and 4th trials) = 1/16

Probability of one head (4th trial) and three tails (the 1st, 2nd and 3rd trials) = 1/16

So, the total probability showing only one or none head and at least three tails = $1/16+1/16+1/16+1/16+1/16=5/16$

6 0

3 years ago

This famous clock tower has a clock face with a diameter of 23 feet. What is the approximate area of this clock face

pashok25 [27]

Answer:

Therefore the approximate area of this clock face is 415.3 feet².

Step-by-step explanation:

Given:

Clock is of Circular Shape,

Diameter = 23 feet

$Radius =r =\dfrac{diameter}{2}=\dfrac{23}{2}=11.5\ feet$

To Find :

Area of Clock Face = ?

Solution:

Area of Circle having Radius 'r' is given as,

$\textrm{Area of Circle}=\pi r^{2}$

Substituting the values we get

$\textrm{Area of Clock Face}=3.14\times (11.5)^{2}=415.265=415.3\ feet^{2}$

Therefore the approximate area of this clock face is 415.3 feet².

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3 years ago

Which table could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsi

AURORKA [14]

Answer:

C -20 -15 -5

F(C) -4 5 23

Step-by-step explanation:

3 0

3 years ago

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Can someone help me find AB and BC

Bond [772]

3x + 2x + 5 + 5x + 15 = 180 [angles on a line add to 180 degrees]
10x + 20 = 180 [combine like terms]
10x = 160 [subtract 20 from both sides]
x = 16 [divide both sides by 10]

Arc AB measures 3(16) = 48 degrees.

Arc BC measures 2(16) + 5 = 41 degrees.

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2 years ago

Helppppppppppppppp meeee

vekshin1

1/2

If you spilt one shape in half you will have two halves. The whole shape represents 100% and when you split it in half, into two pieces, you will have two 50% pieces.
Therefore the correct answer will be 1/2.

6 0

2 years ago

Read 2 more answers