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Gala2k [10]
3 years ago
11

Molly uses 192 beads to make a bracelet and a necklace. It takes 5 times as many beads to make a necklace than t does to make a

bracelet. How many beads are used to make the necklace?
Mathematics
1 answer:
neonofarm [45]3 years ago
7 0
Solve for the bracelet first. x represents number of beads for bracelet So it would be number of beads for the bracelet + number of beads for necklace (5x) and they both equal 192 x + 5x = 192 Then you would add the x and 5x.<br />6x = 192 Now all you have to do is divide by 6 on both sides. 6× ÷ 6 = 192 ÷ 6 You know have the number of beads it takes for a bracelet. x = 32 to get the necklace all you need to do is multiply it by 5 because you need 5 times more for the necklace. 32 × 5 total beads needed is 160. 160 x+5x=192 6×=192 6x÷6=192÷6 x=32 necklace needs 32x5 beads per necklace is 160
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Answer:

p value = 0.0174

Conclusion : we reject the null hypothesis

Step-by-step explanation:

Thinking step:

We need to perform a test to determine if the proportion of the good parts is the same for all three shifts at a significance level of \alpha = 0.05

Assumption : all the population for each or the three shifts is not equal.

Calculation:

Let p₁ be the sample of the first shift

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According to the null hypothesis

H₀ = p₁ = p₂ = p₃

In other words, all the population sample proportions are equal.

Alternatively, we can assume that the three shift are not equal p₁ ≠ p₂ ≠ p₃

Tabulating and performing the \chi² test gives 8.10

degrees of freedom:

df = k - 1

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Thus the degree of freedom is 2

Solving using the MINITAB software gives: p = 0.174

The solution shows that the p value < level of significance, then p-value lies in the range 0.0174≤\alpha≤0.05

Therefore, we reject the null hypothesis based on the fact that the three shifts are not equal.

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3 years ago
What times 2 equels -108
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