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kvv77 [185]
3 years ago
15

Pippa owns a snack bar.

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0

Answer:

£43.05 (I believe, refer to step-by-step explanation.)

Step-by-step explanation:

Let's compare both of these tubs if we were to buy either of them for 14 days.

Starting with the 1 kilogram tub we need to do the calculation:

£3.20 × 14 = £44.80

(Type 3.2×14 into your calculator or write on paper this way to calculate.)

Now let's do the 2 kilogram tub.

£6.15 × 7 = £43.05

(Type 6.15×7 into your calculator or write on paper this way to calculate.)

The reason why I have put 7 instead of 14 is because it is 2 kilograms. Since Pippa uses 1 kilogram per day, you only need to buy 7. 2 × 7 = 14

So comparing either of these prices, buying 7 2-kilogram tubs is much cheaper compared to the 14 1-kilogram tubs.

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Answer:

Jennifer's height is 63.7 inches.

Step-by-step explanation:

Let <em>X</em> = heights of adult women in the United States.

The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 65 inches and standard deviation <em>σ</em> = 2.4 inches.

To compute the probability of a normal random variable we first need to convert the raw score to a standardized score or <em>z</em>-score.

The standardized score of a raw score <em>X</em> is:

z=\frac{X-\mu}{\sigma}

These standardized scores follows a normal distribution with mean 0 and variance 1.

It is provided that Jennifer is taller than 70% of the population of U.S. women.

Let Jennifer's height be denoted by <em>x</em>.

Then according to the information given:

    P (X > x) = 0.70

1 - P (X < x) = 0.70

    P (X < x) = 0.30

⇒  P (Z < z) = 0.30

The <em>z</em>-score related to the probability above is:

<em>z</em> = -0.5244

*Use a <em>z</em>-table.

Compute the value of <em>x</em> as follows:

          z=\frac{X-\mu}{\sigma}

-0.5244=\frac{x-65}{2.4}

          x=65-(0.5244\times 2.4)

             =63.7414\\\approx63.7

Thus, Jennifer's height is 63.7 inches.

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