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Tomtit [17]
3 years ago
12

2. Mrs. Adams wants to buy bags of candy to pass

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
5 0

Answer:

Each child will be get 3 pieces of candy.

4 bags of candy for 80 children.

Step-by-step explanation:

Given:

Mrs. Adams gave each child about 1/20 of a bag.

And each has 60 pieces of candy.

Find how many pieces of candy will each child get?

Solution:

Child's would be get 1/20 of a bag.

So, \frac{1}{20}\ of\ a\ bag = \frac{1}{20}\times number\ of\ pieces\ in\ bag

=\frac{1}{20}\times 60

=\frac{60}{20}

=3

Therefore, Each child will be get 3 pieces of candy.

Find How many bags for 80 children.

Solution:

Each child will be get 3 pieces of candy

So 80 children will be get 80\times 3 pieces of candy.

Therefore, 80 children will be get 240 pieces of candy. and each bag has  60 pieces of candy.

Number of bags equal to Number of pieces of candy divided by 60. so the equation is.

Number\ of\ bag=\frac{piece\ of\ candy}{60}

Number\ of\ bag=\frac{240}{60}

Number of bag = 4

Therefore, 4 bags required for 80 children.

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KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5

We have to find the value of x such that the probability is 0.05

P(X > x)  = 0.05

P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05  

= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05  

=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83  

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

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Step-by-step explanation:

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