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3 years ago

Please look at the image

Mathematics

1 answer:

KatRina [158]3 years ago

5 0

A 124
B 34
C 34
D 90
E 124

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If you roll one die and flip one coin, what is the probability of rolling a 2 and flipping a head? Why?

Nezavi [6.7K]

Answer:

Probability of rolling a 2 and flipping a head will be $\frac{1}{12}$

Step-by-step explanation:

If we roll one die then probability to get any one side is $\frac{1}{6}$

Therefore, probability to get 2 by rolling the die will be P(A) = $\frac{1}{6}$

Now we flip a coin then getting head or tale probability is $\frac{1}{2}$

Or probability to get head by flipping the coin P(B) = $\frac{1}{2}$

Probability of happening both the events (rolling a 2 and flipping a head) will be denoted by

P(A∩B) = P(A)×P(B)

= $\frac{1}{6}\times \frac{1}{2}$

= $\frac{1}{12}$

Therefore, probability of rolling a 2 and flipping a head will be $\frac{1}{12}$

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3 years ago

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Lisa got a student loan of $59000 for school at a 4.66%

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I think the answer is 59.000 B

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3 years ago

When doing polynomial long division, what is the first step to starting the problem?

Bond [772]

Answer:

Step 1: Make sure the polynomial is written in descending order. If any terms are missing, use a zero to fill in the missing term

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3w+4w-2=12 solve equation

Scilla [17]

Answer:

W= 2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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3 years ago

On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).

Vlad1618 [11]

Answer:

Area of parallelogram ABCD=13.05=13 Sq.Units

Step-by-step explanation:

Given;

A(3,6) B(6,5) C(5,1) and D(2,2)

are points for parallelogram

To Find:

Area of Parallelogram ABCD

Solution:

By using distance formula we can calculate for each length of parallelogram

But by property of parallelogram

Opposite side are parallel and equal in length

So AB|| DC i.e AB=DC

And AC|| BD i.e BD=AC

Hence I.e Dist(AB)=Dist(DC)

Now construct the ABCD parallelogram ,on graph so as to find angle made by parallelogram with plane .

(Refer the attachment)

Now

Distance of AD=Sqrt[(2-3)^2+(2-6)^2]

=Sqrt[1+16]

=4.123

Similarly for AB=Sqrt[(6-3)^2+(5-6)^2]

=Sqrt[9+1]

=3.16

ABOVE VALUES ARE SAME AS GRAPH (REFER THE ATTACHMENT)

Now ,angle made by parallelogram with plane and it is 90 degree i.e the

Now Area of parallelogram(ABCD)=a*b*sinФ

here a=4.123 units and b=3.16 units and Ф=90

Area of parallelogram=3.167*4.123*sin90

=3.167*4.123

=13.05 sq. units

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