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2 years ago

Geometry quiz! not my strong suit. help please

Mathematics

1 answer:

Maksim231197 [3]2 years ago

8 0

Assuming PQRS is a parallelogram, we have PQ = RS, and angles S and R are supplementary so their measures sum to 180°.

5x = x + 12

4x = 12

x = 3

→ PQ = 5x = 15

and

12z ° + 6z ° = 180°

18z ° = 180°

z = 180/18 = 10

→ m∠S = 12•10° = 120°

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Find the answer for x that makes this number sentence true: 2x + 9 > 11

Nana76 [90]

Answer:

2 x 2 + 9 > 11

2 x 2 = 4

4 + 9 = 13

13 > 11

Therefore, x = 2.

Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is

Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

Step(i):-

Given the mean of the Population(μ) = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

S = √784 = 28

Step(ii):-

Null hypothesis: H₀: There is no sufficient evidence to support the claim that the bags are underfilled.

Alternative hypothesis: H₁:

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{412 -419}{\frac{28}{\sqrt{19} } }$

t = -1.09

|t| = |-1.09|

Degrees of freedom ν = n-1 = 19-1 =18

t₀.₀₂₅ = 3.19

Final answer:-

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

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3 years ago

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Profit = R - C = $4320 - $3600 = $720

Thus, the businessman's profit is $720.

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3 years ago

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An outlier for a data set is a number which stands out, meaning it is not close to the rest of the numbers. It can either be greater OR less than the rest of the numbers.

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A) 7.

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3 years ago

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