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DIA [1.3K]
3 years ago
7

Evaluate using suitable identity:e). 102 × 98​

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
8 0

Step-by-step explanation:

<h3><u>★ Solution :-</u></h3>

\sf \longmapsto 102 \times 98

\sf \longmapsto (a + b)(a - b) = a^2 - b^2

Here,

  • a = 100
  • b = 2

\sf \longmapsto (100 + 2)(100 - 2) = 100^2 - 2^2

\sf \longmapsto 100^2 - 2^2

\sf \longmapsto 10000 - 4

\sf \longmapsto 9996

marysya [2.9K]3 years ago
6 0

Answer:

9996

Step-by-step explanation:

Algebraic Identity: (a-b)(a+b)=a²-b²

102×98=(100+2)(100-2)

=100²-2²

=10000-4

=9996

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The score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.
Artemon [7]

Answer:

P(X \geq 74) = 0.3707

Step-by-step explanation:

We are given that the score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

Let X = Score of golfers

So, X ~ N(\mu=73,\sigma^{2}=3^{2})

The z score probability distribution is given by;

           Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 73

           \sigma = standard deviation = 3

So, the probability that the score of golfer is at least 74 is given by = P(X \geq 74)

 P(X \geq 74) = P( \frac{X-\mu}{\sigma} \geq \frac{74-73}{3} ) = P(Z \geq 0.33) = 1 - P(Z < 0.33)

                                               =  1 - 0.62930 = 0.3707                  

Therefore, the probability that the score of golfer is at least 74 is 0.3707 .

3 0
3 years ago
If f(x) = -x^3 + 2x^2 - 3, find f(2).<br><br> A) -19<br> B) -3<br> C) -1<br> D) 5
AfilCa [17]

Answer:

B

Step-by-step explanation:

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7 0
3 years ago
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