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Leni [432]
2 years ago
13

a shipping box will be filled with two different machine parts. one type of machine part weights 0.15 ponds and the other weight

s half that amount. which equation used to determine total weight
Mathematics
1 answer:
gulaghasi [49]2 years ago
8 0
\frac{x}{2} =0.15 hope so this helps

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Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your con
Ket [755]

Answer:

Step-by-step explanation:

Given that:

H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }

Z = \dfrac{-1}{\dfrac{5.3}{6} }

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

b

For x = 53 and s = 4.6

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }

Z = \dfrac{-2}{\dfrac{4.6}{6} }

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

Conclusion: \  There  \ is \  sufficient \  evidence  \  to \  conclude \  that \mu < 55

c)

For x = 56 and s = 5.0

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

6 0
3 years ago
Can the sides of a triangle have lengths 1, 7, and 11? Explain
Airida [17]

No

Given 3 sides of a triangle, the sum of any 2 sides must be greater than the third side.

Consider the 3 given sides 1, 7 and 11

7 + 11 = 18 > 1

1 + 11 = 12 > 7

1 + 7 < 11 ⇒ not valid

Hence these sides do not form a triangle


6 0
3 years ago
report mean explanation with an example please please someone answer me please i want someoone to help me please please i will p
andrey2020 [161]
The pic is not downloading
8 0
2 years ago
PLZ HELP 50 POINTS AND BRAINLIEST
Roman55 [17]

Answer:

adjacent and supplementary

Step-by-step explanation:

∠ 1 and ∠ 2 are next to each other, that is adjacent.

∠ 1 and ∠ 2 form a straight angle and are supplementary.

5 0
3 years ago
Read 2 more answers
How do i solve this?? lol
Nana76 [90]

Answer:

w = 5\pi

Step-by-step explanation:

Not sure if it wants an integer as an answer but:

Step 1 - Move the negative 3π to the right.

-3\pi + w = 2\pi \\w = 2\pi + 3\pi

Step 2 - Simplify by adding together

w = 5\pi

Hope this helps!

7 0
2 years ago
Read 2 more answers
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