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nexus9112 [7]
3 years ago
6

Suppose that a sample of size 100 is to be drawn from a population with standard deviation L0. a. What is the probability that t

he sample mean will be within 2 of the value of p?
Mathematics
1 answer:
NARA [144]3 years ago
5 0

Answer:

The probability that the sample mean will lie within 2 values of μ is 0.9544.

Step-by-step explanation:

Here

  • the sample size is given as 100
  • the standard deviation is 10

The probability that the sample mean lies with 2 of the value of μ is given as

                                            P(| \bar{X}-\mu|

Here converting the values in z form gives

P(-2

Substituting values

P(-2

From z table

P(z\leq 2)=0.9772\\P(z\leq -2)=0.0228\\P(-2\leq z\leq 2)=P(z\leq 2)-P(z\leq -2)\\P(-2\leq z\leq 2)=0.9772-0.0228\\P(-2\leq z\leq 2)=0.9544\\

So the probability that the sample mean  will lie within 2 values of μ is 0.9544.

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The given expression is \frac{-4}{5} \times \frac{3}{7}  \times \frac{15}{16}  \times (\frac{-14}{9}).

We need to simplify the given expression.

<h3>What is a rational number?</h3>

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Now group the rational numbers (\frac{-4}{5}\times \frac{15}{16} ) \times (\frac{3}{7}\times (\frac{-14}{9}))

=(\frac{-4}{16}\times \frac{15}{5} ) \times (\frac{3}{9}\times (\frac{-14}{7}))

=(\frac{-1}{4}\times \frac{3}{1} ) \times (\frac{1}{3}\times (\frac{-2}{1}))

=(\frac{-3}{4} ) \times (\frac{-2}{3})=\frac{1}{2}

Therefore, the simplified value of the given expression is \frac{1}{2}.

To learn more about the rational numbers visit:

brainly.com/question/17450097.

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8 0
2 years ago
Solve each inequality of -4x -2&lt;8
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<span>-4x -2<8
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-4x<10
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6 0
3 years ago
one side of rectangle is 3 inches shorter than the other side, the perimeter is 54 inches. what are the dimensions of the rectan
dimaraw [331]

Answer:

2x + 2(x - 3) = 54

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5 0
3 years ago
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The formula for the cost of buying a car is:
Mice21 [21]

Answer:

a) The cost of buying this car is of £6200.

b) The monthly payment is of £450.

Step-by-step explanation:

The cost of buying a car is given by:

cost = 12 X monthly payment + deposit

a) Find the cost of a car when the monthly payment is £350 and the deposit is £2000.

So

cost = 12*350 + 2000 = 4200 + 2000 = 6200

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Again, the formula is applied. So

cost = 12 X monthly payment + deposit

8000 = 12x + 2600

12x = 5400

x = 5400/12

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The monthly payment is of £450.

7 0
3 years ago
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