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abruzzese [7]
3 years ago
14

Roopa and Noor try to simplify the expression 18 x 4 the power of 2 + (9-3) the power of 2. Roopa simplifies the expression and

gets 360. Noor simplifies the expression and gets 324. Which student is correct? What error did the other student make?
Mathematics
2 answers:
zlopas [31]3 years ago
8 0

Answer:

Noor was correct while roopa was wrong. Roopa mistakenly squared both the value of 9 and 3 before taking the difference instead of subtracting 3 from 9 first and then squaring the result according to Noor.

Step-by-step explanation:

Noor simplifies the expression as thus;

Looking at the expression,

18×4²+(9-3)²

Using BODMAS, we will solve the one in the bracket first to have;

= 18×4² +6²

Afterward, we simplify the product (multiplication)

(18×4²)+6²

= 288+6²

= 288+36

Then finally we will add to have 324.

This gives the correct answer because the BODMAS rule was followed.

Roopa mistakenly simplify the expression as thus by squaring both values of 9 and 3 to give;

18×4²+(9²-3²)

18×4²+(81-9)

= 18×4²+(72)

= 288+72

= 360

pentagon [3]3 years ago
3 0

Answer:

Noor was right because the answer is 324

Step-by-step explanation:

the BODMA rule of solving the expression the bracket first before applying the index or before multiplying.

The correct way of solving the expression is

18 x 4x 4 + (9-3)(9-3)

= 18×16 + 6×6

= 288 + 36

= 324

But

Roopa solved it this way instead

18 x 4x 4 + (9×9-3×3)

= 18×16 + (81-9)

= 288 + 72

= 360

So, Noor was right while Roopa was wrong

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3 years ago
Two supplementary angles are in the ratio 3 1 : 5 find both angles​
Zielflug [23.3K]

The two angles are 155 degrees and 25 degrees

<h3><u>Solution:</u></h3>

Given that two supplementary angles are in ratio 31 : 5

Let the first angle be 31a

Let the second angle be 5a

Two Angles are Supplementary when they add up to 180 degrees.

Therefore,

first angle + second angle = 180 degrees

31a + 5a = 180\\\\36a = 180\\\\a = \frac{180}{36}\\\\a = 5

<em><u>Therefore the angles are:</u></em>

first angle = 31a = 31(5) = 155 degrees

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Thus the two angles are 155 degrees and 25 degrees

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3 years ago
Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randoml
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Answer:

probability at least one zero is 0.3439

Step-by-step explanation:

given data

last four digits = randomly selected​

to find out

probability that for one such phone​ number the last four digits include at least one 0.

solution

we know there are total 10 digit

so we first find probability of non zero digit i.e.

Probability  ( non zero ) = 9 /10 = 0.9

and now we find probability of none of digit zero  only event happen n= 4 time in a row by multiplication rules i.e

Probability ( none zero in 4 digit ) = 0.9^{n}

Probability ( none zero in 4 digit ) = 0.9^{4}

Probability ( none zero in 4 digit ) = 0.6561

so we can say probability at least one zero = 1 - Probability ( none zero in 4 digit )  

probability at least one zero = 1 - 0.6561

probability at least one zero is 0.3439

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Step-by-step explanation:

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Step-by-step explanation:

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