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Korolek [52]
3 years ago
10

It has been determined that 60% of the people in a certain midwest city who are responsible for preparing the evening meal have

no idea what they are going to prepare as late as 4PM in the afternoon. A recent survey was conducted from 1000 of these individuals. For the sampling distribution of the sample proportion to be reasonably Normal, the sample must have been obtained in the right way (ideally, a simple random sample) and the sample size must be large (so that at least 10 or more successes and failures). Are these conditions met
Mathematics
1 answer:
natali 33 [55]3 years ago
4 0

Answer:

Random sample, np \geq 10 and n(1-p) \geq 10, so yes, both conditions were satisfied.

Step-by-step explanation:

60% of the people in a certain midwest city who are responsible for preparing the evening meal have no idea what they are going to prepare as late as 4PM in the afternoon.

This means that p = 0.6

A recent survey was conducted from 1000 of these individuals.

This means that n = 1000

Also, a random sample, so the first condition was satisfied.

The sample size must be large (so that at least 10 or more successes and failures).

np = 1000*0.6 = 600 \geq 10

n(1-p) = 1000*0.4 = 400 \geq 10

So yes, both conditions were met.

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Marina CMI [18]

Answer:

They must meet at least three requirements like those in the explanation.

Step-by-step explanation:

-The other angles are also corresponding for example: B is congruent to E and C to F.

- Its sides are proportional to each other

-These two triangles can have the same shape no matter what size each one is

4 0
3 years ago
If f(x)=6-2x, Find the value for f(-1)
Katarina [22]

Answer:

f(-1)=8

Step-by-step explanation:

Just plug in x=-1 into the function:

f(x)=6-2x

y=6-2(-1)

y=6+2

y=8

So f(-1)=8

7 0
3 years ago
The population of a town increases by 4 % every year . In the last year the population of the town was 110000.
TEA [102]

Answer:

114,400 and 118,976.

Step-by-step explanation:

Let's represent this using a function. Let's let:

P(y) represent the total population, and y represent the total number of years since last year.

We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:

P(y)=110000(1.04)^y

Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.

Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)

P(1)=110000(1.04)^1=114400

The present population is 114,400 people.

For next year, set y equal to 2 (2 years after last year is next year)>

P(2)=110000(1.04)^2=118976

The population next year will be 118,976 people.

3 0
3 years ago
If you multiply two integers together and then add 4, the result is 40. Which of the following could NOT be the sum of the two n
marta [7]

Answer:

18

Step-by-step explanation:

xy + 4 = 40

xy = 40 - 4

xy = 36

What two numbers can b multiplied to give 36? Then add them.

9 + 4 = 13

18 + 2 = 20

6 + 6 = 12

12 + 3 = 15

The odd option is 18

6 0
3 years ago
What are the solutions to the equation 3(x – 4)(x + 5) = 0
Ne4ueva [31]

Answer:

x=4

x=-5

Step-by-step explanation:

in order for this to be equal to 0, 1 or both of the factors has to be 0, because anything multiplied by 0 is 0.

123 * 29382 * 8139* 0 = 0

x-4 = 0

x = 4

x+5 = 0

x=-5

7 0
3 years ago
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