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3 years ago

The elves have made 40% of the 200 presents needed for the town of maples. How many more gifts do they need to make

Mathematics

1 answer:

larisa [96]3 years ago

6 0

Answer:

The elves need to make 120 more gifts.

Step-by-step explanation:

First you need to multiply 200 by .40 which gives you 80. 80 is the number of gifts the elves have made so far, so next you need subtract 80 from 200 (200-80) which gives you the answer of 120 gifts the elves have left to make.

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Which equation represents the relationship shown in the table?

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Y=4x because 20/5 equals 4

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3 years ago

I'm not sure how to simplify this expression with the exponents rules of multiplication

Vedmedyk [2.9K]

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3 years ago

What is the slope of the line through the points (4, 2) and (-16, -6)?

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3 years ago

A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than

Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let $\hat p$ = sample proportion of people who prefer to start their own business

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( $\hat p$ $\leq$ 70%)

P( $\hat p$ $\leq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }$ ) = P(Z $\leq$ -1.07) = 1 - P(Z < 1.07)

= 1 - 0.8577 = 0.1423

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

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3 years ago