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Georgia [21]
2 years ago
14

Jinnifer is saving money to buy a bike the bike cost $252

Mathematics
2 answers:
Leviafan [203]2 years ago
8 0

Answer:

Then she needs to save $252.

klemol [59]2 years ago
6 0

Answer:

If this is your question -

Jennifer is saving money to buy a bike. The bike cost $252. She has $199 saved, each week she adds $19 to her savings. How long will it take her to save enough money to buy the bike?

The answer will be 7 weeks.

Step-by-Step Explanation:

You first of all take the $252 and subtract it by $199.

Why? Because $199 is the amount of money she currently has in her savings for her bike, and $252 is the cost of the bike. By subtracting them, she'll figure out the amount of money she still needs.

252 - 199 = 133

That means, she still needs $133.

We also know that she adds $19 to her savings each week.

So what we can do is multiply 19 by a number and see what equals 133.

19 × 6 = 114 (not working)

19 × 7 = 133

19 × 8 = 152 (not working)

Now we found out that 19 × 7 = 133.

Remember, 133 is amount she still needs.

What each number means -

19 is the amount of money she adds per week.

7 is the amount of weeks she'll take to reach her goal

133 is the amount of money she needs until she can buy her bike

So, in conclusion, in 7 weeks, she'll have enough money to buy her bike.

I don't know if it was clear enough's but I hope it helps!

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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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