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BabaBlast [244]
3 years ago
13

A potato sorting machine produces 5 lb bags of potatoes on average, but the standard deviation is 1/2 lb. Assuming that the weig

ht of the bags is normally distributed, explain how you would find the weight range that 95% of the bags fall within.
Mathematics
2 answers:
antiseptic1488 [7]3 years ago
6 0

Basically we have to calculate P X < 0.95. By using the normal distribution formula for any random variable we can get our answer.

SO first from z table we will have to check the corresponding z value from the table. After we get that value we can do X - mean / the std dev = that particular value that i am naming A.

SO X - 5 / 0.5 = A. Now we can solve X for our answer.

lakkis [162]3 years ago
5 0

Answer:

The range that 95% of the bags fall within is (4.02,5.98)            

Step-by-step explanation:

Given : A potato sorting machine produces 5 lb bags of potatoes on average, but the standard deviation is 1/2 lb. Assuming that the weight of the bags is normally distributed

To find : How you would find the weight range that 95% of the bags fall within?

Solution :

We have given,

Mean is \mu=5

Standard deviation is \sigma=\farc{1}{2}=0.5

The critical value for a 95% confidence interval is 1.96.

Let x=1.96

The formula to find the range or confidence interval is

\mu-x\sigma\leq CI\leq \mu+x\sigma

Substitute the value in the formula,

5-1.96\times 0.5\leq CI\leq5+1.96\times 0.5

5-0.98\leq CI\leq5+0.98

4.02 \leq CI \leq 5.98

Therefore, The range that 95% of the bags fall within is (4.02,5.98)

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AC = <br> Round your answer to the nearest hundredth.
dusya [7]

Answer:

AC ≈ 5.03

Step-by-step explanation:

We can solve the problem above using the trigonometric ratio, they are;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cosФ= adjacent/ hypotenuse

tan Ф = opposite / adjacent

From the diagram above, in reference to angle B;

opposite =AC     and   adjacent =BC

Since we have opposite and adjacent, the best formula to use is

tanФ = opposite / adjacent

tan B = AC  / BC

tan 40 =  AC/ 6

Multiply both-side of the equation by 6

6× tan 40   =  AC/ 6  ×  6

At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC

6×tan 40 = AC

5.034598  = AC

AC ≈ 5.03   to the nearest hundredths

4 0
3 years ago
Can someone please help me with this I will also give brainliest.​
Sindrei [870]

Answer:

C) 3*10^6

Step-by-step explanation:

Divide the two numbers:

(6*10^-2)/(2*10^-8)=6/2*(10^-2/10^-8)=3*10^(-2-(-8))=3*10^(-2+8)=3*10^6

So C is correct

8 0
2 years ago
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A. 21

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Find the slope of the line passing through the points(-3, 7) and (2, -6).
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Answer:

-13/5

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

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Best of Luck!

4 0
3 years ago
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