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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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Help me please thanks
Brut [27]
Forget about the negative sign. First you have to find a least common denominator. This would be 63. Since we had to multiply 9 by 7 to get 63 we have to multiply the numerator (4) by 7. This gives us a new fraction of 36/63. Since we ha e to multiply 21 by 3 to get 63 we have to multiply 19 by 3. This gives us 57. So now we have 36/63 and 57/63. Then we add the negative sign back in making 57/63 -57/63. Now we add them together. Because one has a negative sign and one is positive the number has to be closer to zero. So the answer is -21/63.
3 0
3 years ago
Solve the following system of equations by substitution<br> 2x – 3y = -1<br> y = x - 1
Aliun [14]

Answer:

(4, 3)

Step-by-step explanation:

Plug in x - 1 where y is. The equation will turn in 2x - 3(x - 1) = -1. Distribute, and you'll have 2x -3x + 3 = -1. Combine like terms (2x and -3x) and you'll have -x + 3 = -1. Subtract 3 from both sides, and you'll have -x = -4. Divide by -x (or -1) on both sides, and you'll have x = 4. Since y = x - 1, y = 3, since 4 - 1 = 3. Sorry if this sounds repetitive btw. Good luck :D

7 0
3 years ago
Brooke is flying a kite while standing 50 m from the base of a tree at the park. Her Chi is directly above the 10 m tree in the
Gelneren [198K]

Answer:

104.127 m

Step-by-step explanation

In the question instead of chi, it would be kite.

Given: Distance of Brooke from the base of tree is 50 meters.

The kite is directly above the 10 m tree in the 125 m string is fully extended.

Lets assume the height of the kite be "x".

Its making the Right angle triangle with length of string as hypotenuse, height of kite above tree.

Using Pythagorean formula:

h²= a²+b²

⇒125^{2} = 50^{2} + (x)^{2}

⇒15625 = 2500+ (x)^{2}

⇒ 15625 = 2500+ x^{2}

Subtracting both side by 2500

⇒ 13025 = x^{2}

Square rooting both side, we know√a²=a

⇒ \sqrt{13025} =x

∴ x= 114.127 meter.

Next, we know the value of x include the height of tree.

∴ Height of kite flying above tree= x-10\ m

⇒ Height of kite flying above tree= 114.127-10= 104.127\ m

Hence, the height of kite above the tree is 104.127 meters.

3 0
3 years ago
Can you help me please. ​
SVEN [57.7K]

Answer:

can you take a better photo?

5 0
2 years ago
Read 2 more answers
Could someone help me with this please!
sertanlavr [38]
Angles 1, 3, and 4 make up a straight line.
Thus, 3x + 90 + 3x - 6 = 180 (angle sum of straight line)
6x - 6 = 90
6x = 96

x = 16
Now angle 1 becomes 3(16) = 48
Angle 1, 2, and 3 also make up a straight line.
Thus, angle 2 + 48 + 90 = 180
angle 2 + 138 = 180
angle 2, therefore, becomes 42. In essence, (A)
6 0
3 years ago
Read 2 more answers
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