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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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Can you help please?
harkovskaia [24]

Step-by-step explanation:

Mechanical advantage can be defined using distances:

Mechanical advantage = input distance / output distance

Or it can be defined using forces:

Mechanical advantage = output force / input force

Solving for the output force:

Output force = mechanical advantage × input force

Plugging in values:

Output force = 2.2 × 202 N

Output force = 444.4 N

3 0
3 years ago
What factors multiply to -80 and add to 6
forsale [732]

80 = -1(80), -2(40), -4(20), -5(4),

Total answers include: -81, 79, -42, 16, -9, and 1.

None of them add up to 6!

Are you doing polynomial equations?

If so, you can solve it the hard way.

x^2 + 6x -80 = 0

(x^2 + 6x + 9) - 80 = 9

(x+3)^2 = 89

(x+3) = 9.43

x = 6.43

If you're not doing those then I'm afraid your question has no answer.

Hope that helps!



7 0
3 years ago
town A has 95364 children out of which 43336 are girls. Town b has 100005 children out of which 53495 are boys find the number o
Zepler [3.9K]

Answer:

1. Number of boys in A is 52028.

2. Number of girls in B is 46510.

3. Town B has more number of girls.

Step-by-step explanation:

1. 95364 - 43336 = 52028

2. 100005-53495=46510

3. 43336 (A < B)

5 0
3 years ago
Help show work step,<br> By step how to get the awnser
Archy [21]

Step-by-step explanation:

8 \frac{1}{3}  - 5 \frac{1}{2}  =  \frac{25}{3}  -  \frac{11}{2}  =  \frac{50}{6}  -  \frac{33}{6}  =  \frac{17}{6}  = 2 \frac{5}{6}

3 0
3 years ago
Caitlin buys some apples and some oranges. She buys twice as many apples as oranges. Each apple costs £0.25 Each orange costs £0
Vitek1552 [10]

Answer:

14

Step-by-step explanation:

Caitlin buys twice as many apples as oranges.

2a=o

Apples cost 0.25 and Oranges cost 0.30, we have a maximum of 5 to spend.

5-2a(0.30)-0.25a=0

5=2a(0.30)-0.25a\\5=0.6a-0.25a\\5=0.35a\\a=14

3 0
3 years ago
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