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Sauron [17]
2 years ago
10

Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro

bability that he will hit it. One day, Samir decides to attempt to hit 101010 such targets in a row.
Mathematics
2 answers:
bearhunter [10]2 years ago
6 0

The question is incomplete. Here is the complete question:

Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.95 probability that he will hit it. One day, Samir decides to attempt to hit  10 such targets in a row.

Assuming that Samir is equally likely to hit each of the 10 targets, what is the probability that he will miss at least one of them?

Answer:

40.13%

Step-by-step explanation:

Let 'A' be the event of not missing a target in 10 attempts.

Therefore, the complement of event 'A' is \overline A=\textrm{Missing a target at least once}

Now, Samir is equally likely to hit each of the 10 targets. Therefore, probability of hitting each target each time is same and equal to 0.95.

Now, P(A)=0.95^{10}=0.5987

We know that the sum of probability of an event and its complement is 1.

So, P(A)+P(\overline A)=1\\\\P(\overline A)=1-P(A)\\\\P(\overline A)=1-0.5987\\\\P(\overline A)=0.4013=40.13\%

Therefore, the probability of missing a target at least once in 10 attempts is 40.13%.

Alika [10]2 years ago
4 0

Answer:

.401

Step-by-step explanation:

However if it states to round to the nearest tenth then its .4

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jeka57 [31]

-115

Using the arithmetic formula, your equation appears as so:

an = 15 + (27 - 1) - 5

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This will give you the answer of -115.

Hope this helps!

8 0
2 years ago
A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than
aleksandrvk [35]

Answer:

The alternative hypothesis being tested in this example is that the tire life is of more than 60,000 miles, that is:

H_1: \mu > 60,000

Step-by-step explanation:

A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than 60,000 miles.

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4 0
2 years ago
The number of nails in the bucket is 50 less than twice a number of screws. Together, there are 400 fasteners in the bucket. How
kati45 [8]

Answer:

There are 250 nails and 150 screws in the bucket.

Step-by-step explanation:

Let Number of nails in bucket be x.

Also Let number of screws in the bucket be y.

Together, there are 400 fasteners in the bucket.

Hence the equation can be framed as;

x+y = 400 \ \ \ \ equation \ 1

Also Given:

The number of nails in the bucket is 50 less than twice a number of screws.

Hence the equation can be framed as;

x= 2y -50

Substituting the value of x in equation 1 we get;

x+y=400\\2y-50+y=400\\3y=400+50\\3y=450\\y= \frac{450}{3}=150

Now we have value of y we will substitute in equation 1 we get;

x+y =400\\x+150 =400\\x =400-150\\x=250

Hence there are 250 nails and 150 screws in the bucket.

3 0
2 years ago
Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π)
neonofarm [45]

Answer:

hello attached below is the sketch of the missing diagram

a) h = 2

b) cos^-1 ( 2 ) = ∞

c ) θ ≈ 215°

Step-by-step explanation:

a) The length ( h ) to the right of the circles center

= h^2 = ( -1.15)^2 + ( -1.64)^2

∴ h = 2

b) cos^-1 ( 2 ) = ∞

c) The value gotten from b does not give us the value of θ

AB = - 1.64

BC = -1.15

AC = 2

sin^-1 ( - 1.64 / -1.15 )

cos^1 ( -1.15 / 2 ) gives us the value of θ

tan^-1 ( -1.64 / -1.15 )

∴ θ ≈ 215°

6 0
2 years ago
Rewrite in simplest radical form 1/x^-3/6. Please show each step of your process.
antiseptic1488 [7]
To simplify the given radical form, we must recall some properties of exponents as shown below. 1. 1/x⁻ⁿ = xⁿ 2. x¹/² = √x Now, going back to 1/x⁻³/⁶, we have 1/x⁻³/⁶ = x³/⁶ x³/⁶ = x¹/² x¹/² = √x Using the properties provided, we have a simplified form of √x. <span>Answer: √x</span>
7 0
2 years ago
Read 2 more answers
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