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Korolek [52]
3 years ago
14

Find the probability that the hitter makes 10 outs in 10 consecutive​ at-bats, assuming​ at-bats are independent events.​ Hint:

The hitter makes an out
72
72​% of the time.

​P(hitter makes 10 consecutive ​outs)
equals
Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0

Answer:

0.037

Step-by-step explanation:

If the hitter makes an out 72​% of the time, then the probabilty that he makes hit in 1 at-bat is p=0.72 and the probabilty that he doesn't make hit in 1 at-bat is q=1-p=1-0.72=0.28.

The probability that the hitter makes 10 outs in 10 consecutive​ at-bats, assuming​ at-bats are independent events is

P=p^{10}=(0.72)^{10}\approx 0.037.

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3 years ago
A candy company has 150 kg of chocolate-covered nuts and 90 kg of chocolate-covered raisins to be sold as two different mixes. O
Westkost [7]

Answer:

1. 7x + 9.5y

2. 1980

Step-by-step explanation:

In Mix A, there is an equal amount of nuts and raisins.

Let x = kg of nuts = kg of raisins.

In Mix B, there is 3 times as much nuts as raisins.

Let y = kg of raisins, then 3y = kg of nuts.

We have this information:

           Nuts    Raisins   Price  

mix A    x   +   x     =  $ 7.00

mix B    3y  +  y     =  $  9.50

Total:   150   90

Hence, the number of kilograms of each mix should company prepare for the maximum revenue is = 7x + 9.5y

We have these inequalties:

{x≥0y≥0x+3y≤150x+y≤90} (equation 1)

There will be

x+x=2x kg of Mix A at $7.00 per kg.

The revenue from Mix A is:

7(2x)=14x dollars.

There will be

3y+y=4y kg of Mix B at $9.50 per kg.

The revnue from Mix B is:

9.5(4y)=38y dollars.

Hence, the total revenue is:

R=14x+38y (equation 2).

Graph the region determined by [1] and locate its vertices.

You should get:

(0,0),(90,0),(0,50),(60,30)

Test the vertices into [2] and see which vertex produces maximum revenue

(0,0): R=14(0)+38(0)=0 Minimum revenue

(90,0):R=14(90)+38(0)=1260

(0,50): R=14(0)+38(50)=1900

(60,30):R=14(60)+38(30)=1980 Maximum revenue.

3 0
3 years ago
Find the slope on the line
Alla [95]

Answer:

-1

Step-by-step explanation:

Use Rise/Run and since the line is negative the slope will be negative

8 0
2 years ago
5k-7=-7<br> solve the equation to what is k
LenKa [72]
So 5k-7=-7
You need to do the opposite of addition,which is subtraction so...
5k-7=-7
+7
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K=0
and to double check it,replace the (or variable) with our answer (0)...
so
5×0-7=-7
solve the problem...and
-7=-7√
5 0
3 years ago
Read 2 more answers
Kenzie finds purple, blue, and silver space rocks while exploring, 2/3 of the rocks are purple and 3/4 of the remainder are blue
Nadya [2.5K]

Answer:

There were 36 space rocks in total.

Step-by-step explanation:

First, you need to find what fraction of the original rocks are silver.

If 2/3 are purple, then 1/3 of them are not.

If 3/4 of the remaining 1/3 are blue, then 3/4 x 1/3 = 3/12 rocks are blue.

2/3 of the rock are purple, 3/12 of them are blue, and the remaining is silver.

So, you need to do 2/3 - 3/12, then find common denominators so, 8/12 - 3/12 which = 1/12.

This means 1/12 of the rocks are silver. If there are silver rocks, you need to find a suitable equation that needs to be solved.

So:

1/12r = 3

r = 36 silver rocks

There were 36 space rocks in total.

hope this helps :)

3 0
3 years ago
Read 2 more answers
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