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Iteru [2.4K]
3 years ago
7

I need a little help please

Mathematics
1 answer:
alexandr402 [8]3 years ago
7 0

Answer:

Answer is B I think? :)

Step-by-step explanation:

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A simple random sample of size n=14 is obtained from a population with μ=64 and σ=19.
madam [21]

Answer:

a) A. The population must be normally distributed

b) P(X < 68.2) = 0.7967

c) P(X  ≥  65.6) = 0.3745

Step-by-step explanation:

a) The population is normally distributed having a mean (\mu_x) = 64  and a standard deviation (\sigma_x) = \frac{19}{\sqrt{14} }

b) P(X < 68.2)

First me need to calculate the z score (z). This is given by the equation:

z=\frac{x-\mu_x}{\sigma_x} but μ=64 and σ=19 and n=14,  \mu_x=\mu=64 and \sigma_x=\frac{ \sigma}{\sqrt{n} }=\frac{19}{\sqrt{14} }

Therefore: z=\frac{68.2-64}{\frac{19}{\sqrt{14} } }=0.83

From z table, P(X < 68.2) = P(z < 0.83) = 0.7967

P(X < 68.2) = 0.7967

c) P(X  ≥  65.6)

First me need to calculate the z score (z). This is given by the equation:

z=\frac{x-\mu_x}{\sigma_x}

Therefore: z=\frac{65.6-64}{\frac{19}{\sqrt{14} } }=0.32

From z table,  P(X  ≥  65.6) =  P(z  ≥  0.32) = 1 -  P(z  <  0.32) = 1 - 0.6255 = 0.3745

P(X  ≥  65.6) = 0.3745

P(X < 68.2) = 0.7967

5 0
3 years ago
Option 1: Use Your Credit Card (15 pts)
Elza [17]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
You use 4 gallons of water on 30 plants. At that rate how much water will you need for 45 plants?
Alja [10]
You would use 6 gallons of water to water 45 plants 
4=30  
\frac{45}{30}=\frac{3}{2}
\frac{3}{2}of 4 gallons = 6 gallons
8 0
3 years ago
Read 2 more answers
How many solutions exist for the given equation? <br><br> 3(x-2) =22 -x
kenny6666 [7]

Answer:

one solution

Step-by-step explanation:

3(x-2) =22 -x

Distribute

3x - 6 = 22-x

Add x to each side

3x+x-6 = 22-x+x

4x+6 = 22

Subtract 6 from each side

4x+6-6 = 22-6

4x= 16

Divide by 4

4x/4 = 16/4

x=4

There is one solution

6 0
2 years ago
What's the 2-step rules input 5,9,7,10 output 16 28 22 31
snow_tiger [21]

To solve this problem, we have to figure out a rule for the function. We are told that it is a two-step rule, so it is most likely the input multiplied by a coefficient plus a constant. Let’s let the input be represented by the variable x and the output be represented by the variable y. Using our knowledge, we can see that the outputs are close to triple the input, so we set up the preliminary equation:

y = 3x + b,

where b is a constant. If we want to solve for b, we must plug in one of our input/output pairs. If we plug in (5,16), we get the following:

16 = 3(5) + b

16 = 15 + b

1 = b

Then, we should substitute in this value into our equation and check our work.

y = 3x + 1

If we plug in the other points, this equation yields a true statement, so we know it is correct.

Hope this helps!

6 0
3 years ago
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