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kiruha [24]
4 years ago
13

A lathe is set to cut bars of steel into lengths of 6 centimeters. the lathe is considered to be in perfect adjustment if the av

erage length of the bars it cuts is 6 centimeters. a sample of 121 bars is selected randomly and measured. it is determined that the average length of the bars in the sample is 6.08 centimeters. the population standard deviation is 0.44 centimeters. the correct null hypothesis for this problem is
Mathematics
1 answer:
Nitella [24]4 years ago
4 0
The hypothesis testing for this problem is:
a. The hypothesis for this problem are:
Null: H0: μ=6
Alternative: Ha: μ≠6
 
b. Test
T-statistics = (6.08 - 6) / 0.44* √(121) = 2
 
c. P value = 0.047759
 
Since our p-value is smaller than the significant level of 0.05, we can say that we reject the null hypothesis.

Conclusion: there is enough evidence to say lathe is not in perfect adjustment.
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What is the eighth term of the arithmetic sequence? An=<br> 10n – 14?
Alja [10]

Answer:

A8 = 66 [8th term]

Step-by-step explanation:

Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)

To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.

So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.

3 0
3 years ago
In how many ways can you park 4 different cars at a car park with 5 different parking spaces?
meriva
1. If you have 1 first then... 1,2,3,4 - 1,3,2,4 - 1,2,4,3 - 1,3,4,2 - 1,4,3,2 - 1,4,2,3
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3 years ago
Luna makes beaded bracelets. she uses 9 beads to make each bracelet. how many brackets can she make with 156 beads?
bixtya [17]
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5 0
3 years ago
Find a quadratic polynomial the sum and product of whose zeroes are -8 and 12 respectively. Hence find the zeroes.
Olenka [21]

Step-by-step explanation:

We khow the sum and the product of the zeroes of this quadratic polynomial

Here is a trick :

when we khow the sum S and the product P ofvtwo numbers we can find them by solving :

x²-Sx+p=0

here S= -8 and P=12

so:

x²+8x+12=0

Let Δ be the discrminant of this equation: a= 1 , b= 8 and c=12

Δ= 8²-4*12 =16

the zeros are:

(-8-4)/2= -6

(-8+4)/2 = -2

verify:

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now the polynomial quadratic is:

(x+6)(x+2)

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3 years ago
Find the value of x for the right triangle.
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Answer:

Step-by-step explanation:

8 0
3 years ago
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