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aalyn [17]
3 years ago
8

Alisa hopes to play beach volleyball in the Olympics someday. She has convinced her parents to allow her to set up a beach volle

yball court in their backyard. She goes to the hardware store to shop for sand and sees the following signs on pallets containing bags of sand.
Sand A- 1 bag is 60 lbs
3 bags are for $120
Sand B- 1 bag is 50 lbs
2 bags are for $150

1- What is the rate that Brand A is selling for? (Price for 1 pound) or (pounds per 1 dollar)
2- Which brand is offering the better value? (Explain)
Mathematics
2 answers:
VladimirAG [237]3 years ago
5 0
The unit rate of brand A is,
1 pound : $2
The unit rate of brand b is,
1 pound : $3
Given that information, along with the fact that brand A is selling the sand at a price of $120 for 3 bags compared to brand B with 2 bags for $150, brand A is the better buy.
Naily [24]3 years ago
4 0
60x3\120 = $1.50 per pound
100/150=.67
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Answer:

The probability that the maximum safe-weight will be exceeded is <u>0.0455 or 4.55%</u>.

Step-by-step explanation:

Given:

Maximum safe-weight of 37 cars = 82 tons

∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)

Mean weight of 1 car (μ) = 2 tons

Standard deviation of 37 cars = 0.8 tons

So, standard deviation of 1 car is given as:

\sigma=\frac{0.8}{\sqrt{37}}=0.13

Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?

The sample is normally distributed (Assume)

Now, let us determine the z-score of the mean weight.

The z-score is given as:

z=\frac{x-\mu}{\sigma}\\\\z=\frac{2.22-2}{0.13}\\\\z=\frac{0.22}{0.13}=1.69

Now, finding P(x > 2.22) is same as finding P(z > 1.69).

From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.

But we need the area under the curve for z > 1.69.

So, we subtract from the total area. Total area is 1 or 100%.

So, P(z > 1.69) = 1 - P(z < 1.69)

P(z>1.69)=1-0.9545=0.0455\ or\ 4.55\%

Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

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