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fgiga [73]
3 years ago
14

A high school baseball player has a 0.215 batting average. In one game, he gets 7 at bats. What is the probability he will get a

t least 5 hits in the game?
Mathematics
1 answer:
masya89 [10]3 years ago
7 0

Answer:

0.651%

Step-by-step explanation:

using Binomial expansion: nCr*p^n*(1-p)^(n-r)

probability he will get at least 5 hits in the game = probability he will get  5 hits in the game + probability he will get 6 hits in the game + probability he will get  7 hits in the game = 7C5*0.215^5*(1-0.215)^2 + 7C6*0.215^6*(1-0.215)^1 +7C7*0.215^7*(1-0.215)^0 = 21* 0.0004594*0.616225  +  7*0.00009877*0.785  +  1*0.000021235  = 0.00651 = 0.651%

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Vasudevan invested rupees 60000 at an interest rate of 12% per annum compounded half yearly what amount would he get after 1 yea
Ganezh [65]

Answer:

Given that, Vasudevan invested ₹ 60,000

For Compound Interest (C.I.)

A = P[1 + (r/100)]n

P = ₹ 60,000

n = 6 months and 1 year

R = 12% p.a. compounded half-yearly

where , A = Amount, P = Principal, n = Time period and R = Rate percent

(i) For easy calculation of compound interest, we will put Interest Rate as 6% half-yearly and n = 1.

Compound Interest to be paid for 6 months

A = P[1 + (r/100)]n

A = 60000[1 + (6/100)]1

A = 60000[(100/100) + (6/100)]

A = 60000 × (106/100)

A = 60000 × 1.06

A = ₹ 63600

(ii) Compound Interest to be paid for 12 months (1 year) compounded half yearly.

So, assume n = 2, r = 6%

A = P[1 + (r/100)]n

A = 60000[1 + (6/100)]2

A = 60000[(100/100) + (6/100)]2

A = 60000 × (106/100) × (106/100)

A = 60000 × (11236/10000)

A = 60000 × 1.1236

A = ₹ 67416

4 0
3 years ago
What is the missing numerator in the equivalent fraction? The mixed number 3 one-half is equivalent to a fraction with a denomin
Alex

7 is the missing numerator in the equivalent fraction with a denominator of 2.

<u>Step-by-step explanation</u>:

The mixed fraction is 3 1/2.

  • Convert it into a proper fraction to get a equivalent fraction.
  • Multiply the denominator 2 with 3 and then add 1 to the answer.

⇒ 3 1/2 = ((3\times2) + 1)/2

⇒ 3 1/2 =7/2

∴ The numerator of the equivalent fraction is 7.

3 0
3 years ago
Thanks who ever helped ​
NeTakaya

Answer:

60 × 50 = 3000

7 × 50 = 350

60 × 4 = 240

7 × 4 = 28

3000 + 350 + 240 + 28 =3618

54 × 67 = 3618

3 0
3 years ago
Based on the polynomial remainder theorem, what is the value of the function when x = 4?
ipn [44]

Answer:

124

Step-by-step explanation:

When x=4, substitute 4 into the function to give f(4).

f(4) = (4)^4 - 2(4)^3 + 5(4)^2 -20(4) -4\\f(4) = 256 - 2(64) + 5(16) - 80 -4\\f(4) = 256 -128 + 80 - 80 -4\\f(4) = 128+80-80-4\\f(4) = 208-80-4\\f(4) = 128-4\\f(4) = 124

4 0
3 years ago
Write an equation in slope-intercept form for the graph of<br> the line shown.<br> (y=mx+b)
Tamiku [17]
The answer for 25 is y=3x+1
The answer for 24 is y=3x+5
4 0
3 years ago
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