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3 years ago

#2 and please provide explaination !

Mathematics

1 answer:

quester [9]3 years ago

4 0

Answer:

Total overripe fruit = 48

Step-by-step explanation:

Step 1: Assume the value of oranges

Let oranges be x

Oranges = x

Apples = 32 + x

Overripe oranges = 3/5 of oranges

= 3x/5

Overripe apples = 1/3 of apples

= 1/3 (32 + x)

Step 2: Find x (oranges)

Number of overripe apples and number or overripe oranges are equal.

3x/5 = 1/3 (32 + x)

3 (3x) = 5(32 + x)

9x = 160 + 5x

4x = 160

x = 40

Step 3: Find the total number of overripe fruit.

Total overripe fruit = Overripe apples + Overripe oranges

Total overripe fruit = 1/3 (32 + x) + 3x/5

Total overripe fruit = 1/3 (32 + 40) + 3(40)/5

Total overripe fruit = 24 + 24

Total overripe fruit = 48

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The z for $38.60 = (38.60 - 45)/16 = -0.4

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The z for $57.80 = (57.8 - 45)/16 = 0.8.

The percent of area associated with $57.80 = P(z < 0.8) = 0.78814 = 78.81%

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4 0

3 years ago

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A movie theater sells adults' tickets and children's tickets.

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Answer: $13.25 each ticket

Step-by-step explanation: 530 divided by 40

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3 years ago

Your parents gave you a gift card for your favorite coffee shop. The card was worth $50

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Answer:

y=-3x+50

Step-by-step explanation:

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3 years ago

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

8 0

3 years ago

Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles

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Answer:

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Step-by-step explanation:

Given:

Distance already covered = 3.5 miles

100 miles covered in 2 hour

FInd;

Equation of given scenario

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Assume;

Total miles covered = y

Total number of hours = x

Speed of car = 100 / 2

Speed of car = 50 miles per hour

Total miles covered = Distance already covered + [Speed of car][Total number of hours]

y = 3.5 + [50][x]

y = 50x + 3.5

3 0

3 years ago