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WITCHER [35]
3 years ago
13

Jerry had an average score of 85 on his first 8 quizzes. He had an average score of 81 on his first nine quizzes. What score did

he earn on his ninth quiz?
side note: I got 49 the first time i tried it but when i checked it, it was wronfg
Mathematics
1 answer:
Leviafan [203]3 years ago
8 0
Well, let's calculate how many points in total he got so far!

He did 8 quizzes, on average 85 points: 85*8=680 points.

He scored a number of points in his ninth quiz, let's call this number "x".

If we want to calculate the average after the ninth quiz, we take the sum of points then (which is 680+x) and we divide it by 9:

(680+x)/9

we also know that this is equal to 81:

(680+x)/9=81

\frac{(680+x)}{9}=81

multiply both sides by 9:

(680+x)}=729

substracting 680 from both sides:

x=49

well, i got 49 too.

I really can't see where the mistake could be?

where did you check it? my best guess is that the place where you checked it had a typo...?
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The shape below is a composite figure made up of two rectangular prisms, what is the volume of the figure?
gregori [183]

Answer:

<u>11098 cm³</u>

Step-by-step explanation:

<u>Volume of top prism</u>

  • V = 62 x 3 x (13 - 7)
  • V = 186 x 6
  • V = 1116 cm³

<u>Volume of bottom prism</u>

  • V = 62 x 23 x 7
  • V = 1426 x 7
  • V = 9982 cm³

⇒ Total volume = Volume (top) + Volume (bottom)

⇒ Total volume = 1116 + 9982

⇒ Total volume = <u>11098 cm³</u>

5 0
2 years ago
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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:

<u><em>Step(i)</em></u>:-

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

<u><em>Step(ii)</em></u>:-

<u><em>Null hypothesis: H₀</em></u>: There is no sufficient evidence to support the claim that the bags are underfilled.

<u><em>Alternative hypothesis: H₁:</em></u>

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|

<em>Degrees of freedom   ν = n-1 = 19-1 =18</em>

<em>t₀.₀₂₅ =  3.19</em>

<u><em>Final answer:</em></u><em>-</em>

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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