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forsale [732]
3 years ago
12

A baseball player has a batting average of 0.26. What is the probability that he has exactly 6 hits in his next 7 at bats

Mathematics
1 answer:
LenKa [72]3 years ago
8 0

Answer:

0.0016

Step-by-step explanation:

Batting average, p = 0.26

n = 7

x = 6

With p = 0.26 as success rate

1-p is equal to failure rate which is = 0.74

We have to solve this by using the binomial distribution formula.

P(X= x)

= nCx * p^x * (1-p)^(n-x)

P(X = 6)

=7C6 × 0.26^6 ×(1-0.26)^(7-6)

= 7 × 0.0003089 × 0..74¹

= 0.0016

So probability that he has exactly 6 hits in his next 7 bats is equal to 0.0016.

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Alex Ar [27]
Take derivitive

note
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so
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the derivitive of \frac{f(x)}{g(x)} = \frac{f'(x)g(x)-g'(x)f(x)}{(g(x))^2}
so

the derivitive of \frac{sec(t)}{t} = \frac{sec(t)tan(t)t-(1)(sec(t))}{t^2}
so now evaluate when t=pi
we get
sec(pi)=-1
tan(pi)=0
we get
\frac{(-1)(0)(pi)-(pi)(-1)}{pi^2}= \frac{pi}{pi^2}= \frac{1}{pi}
slope=1/pi

use slope point form
for
slope=m and point is (x1,y1)
equation is
y-y1=m(x-x1)
slope is 1/pi
point is (pi,1/pi)

y-1/π=1/π(x-π)
times both sides by π
πy-1=x-π
πy=x-π+1
y=(1/π)x-1+(1/π)
or, alternately
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7 0
3 years ago
Solve −x+5≤4 or 2x+3≥−1 and write the solution in interval notation.
serg [7]

Answer:

Step-by-step explanation:

\left \{ {{-x+5\leq 4} \atop {2x+3\geq -1}} \right.   ⇒ x\geq 1\\2x\geq 4\\x\geq -2

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x \geq -2\\(-2,+ { \infty} ) (Answer)

6 0
2 years ago
The awnser I’m really have trouble finding a awnser
svlad2 [7]
A = \pi r^2
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\pi r^2 = 50.24
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8 0
3 years ago
Johanna used tiles to build a rectangler array with an array with an areavof 54.list all the possible dimensions of the array
lyudmila [28]
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4 0
3 years ago
Th the mean of the data is set 15 what number is missing<br> 18,16_,9,12,23
Wittaler [7]

Answer:

The missing number on the given data set is 12.

Step-by-step explanation:

Here, the set of data = 18,16_,9,12,23

Let us assume the missing number in the data = m

The mean of the data = 15

Total number of observations   = 6

Now, Sum of the data  = 18 + 16 + m + 9+ 12+ 23  = 78 + m

Also, \textrm{ Mean of the given Data}  = \frac{\textrm{Sum of all observation in the data}}{\textrm{Total number of observations}}

\implies 15 = \frac{78+ m}{6} \\or, 15(6) = 78 + m\\\implies m = 90 -78 = 12

or, m  = 12

Hence, the missing number on the given data set is 12.

3 0
3 years ago
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