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3 years ago

5.

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

4 0

Answer:

integers, rational numbers

Explanation:

Integers are any whole number (positive or negative). -5 is a whole number, not a fraction or decimal.

Rational numbers can be written in the fraction form a/b where a and b are both integers and b does not equal 0. -5 can be written as -5/1.

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Given circle O with chords CD = 12 and

LuckyWell [14K]

Answer:

FB=6 Units
OE= 8 Units

Step-by-step explanation:

Theorem: A line drawn from the center perpendicular to the chord bisects the chord.

By the Theorem above, Point E and F bisects CD and AB into 6 Units each as seen in the diagram.

Therefore:

|FB|=6 Units

In Right Triangle OED, applying Pythagoras Theorem

$10^2=6^2+|OE|^2\\|OE|^2=100-36\\|OE|^2=64\\|OE|^2=8^2\\|OE|=8 \:Units$

Therefore:

FB=6 Units
OE= 8 Units

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3 years ago

2. In a certain year, solar and wind energy generation totaled 1037 Trillion Btu’s. Wind generated 56 Trillion Btu's more than e

GaryK [48]

The sum of solar energy can assumed as 'x', so it is easy to conclude that the sum of wind energy is '8x+56'. From the above assumption, we can easily get that 'x+8x+56=1037', to solve thi<span>s equation and get tha</span>

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3 years ago

6. Suppose that a fair coin is tossed 2 times, and the result of each toss (H or T) is recorded.

nekit [7.7K]

Answer:

a) $S= {HH, HT, TH, TT}$

b) $P(X=0) = (2C0) (0.5)^0 (1-0.5)^{2-0}= 0.25$

$P(X=1) = (2C1) (0.5)^1 (1-0.5)^{2-1}= 0.5$

$P(X=2) = (2C2) (0.5)^2 (1-0.5)^{2-2}= 0.25$

And we have the following table:

X | 0 | 1 | 2

P(X) | 0.25 | 0.5 | 0.25

Step-by-step explanation:

Let's define first some notation

H= represent a head for the coin tossed

T= represent tails for the coin tossed

We are going to toss a coin 2 times so then the size of the sample size is $2^2 = 4$

a. What is the sample space for this chance experiment?

The sampling space on this case is given by:

$S= {HH, HT, TH, TT}$

b. For this chance experiment, give the probability distribution for the random variable of the total number of heads observed.

The possible values for the number of heads are X=0,1,2. If we assume a fair coin then the probability of obtain heads is the same probability of obtain tails and we can find the distribution like this:

$P(X=0) = (2C0) (0.5)^0 (1-0.5)^{2-0}= 0.25$

$P(X=1) = (2C1) (0.5)^1 (1-0.5)^{2-1}= 0.5$

$P(X=2) = (2C2) (0.5)^2 (1-0.5)^{2-2}= 0.25$

And we have the following table:

X | 0 | 1 | 2

P(X) | 0.25 | 0.5 | 0.25

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3 years ago

How many solutions does the following system have? 3x+2y=1 -9x-6y=3

guajiro [1.7K]

Divide second equation by -3
3x+2y=1
other equatin is
3x+2y=1
since same equation, they are same line and lines are infinite so infinite solutions is answe

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3 years ago

Read 2 more answers

3 & 4, And tell explanation<br><br> (P.S: Sorry for my sloppy handwriting)

Kazeer [188]

3) Altitude / Time = y2 - y1 / x2 - x1 = 30 - 60 / 6 - 3
m = -30 / 3
m = -10

In short, constant rate of change is y = -10x

b) Constant proportionality exists between two quantities, as the amount of changing in Altitude over fixed period of time is same (constant) for every instance.

4) Sales / Day = y2-y1 / x2-x1 = 2,000 - 1,000 / 6 - 3
m = 1000 / 3
m = 333.3

a) In short, Constant relationship is y = 333.3x

b) Constant proportionality exists between two quantities, as the amount of changing in Sales over fixed days is same (constant) for every instance.

Hope this helps!

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3 years ago