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Advocard [28]
2 years ago
5

A sheriff is interested in the average speed that people drive on Highway 50. Match the vocabulary word with its corresponding e

xample.

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
4 0

Answer:

1. Statistics

2. Sample

3. Population

4. Variable

5. Data

6. Parameter

Step-by-step explanation:

1. Statistics is the mean of the sample taken - The average speed that the 250 randomly selected drivers drove on Highway 50

2. Sample is the representative part of the population - The 250 randomly selected drivers who were on Highway 50

3. Population is the group of people from which the sample was taken - All people who drive on Highway 50

4. Variable is a quantity that has values which differ - The speed that a driver drives on Highway

5. Data is information obtained used for a specific purpose - The list of the 250 speeds that the drivers studied drove

6. Parameter is the mean of a population - The average speed that all drivers go on Highway 50

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Sean has 15,000 to invest she will put some of it into a fund that pays 4.5% annual interest in the rest in a certificate of dep
DENIUS [597]

Answer:$12500 was invested into the account that pays 4.5% annual interest..

$2500 was invested into the the certificate of deposit that pays 1.8% annual interest..

Step-by-step explanation:

Let x represent the amount invested into the account that pays 4.5% annual interest.

Let y represent the amount invested into the certificate of deposit that pays 1.8% annual interest.

Sean has 15,000 to invest. She will put some of it into a fund that pays 4.5% annual interest and the rest in a certificate of deposit that pays 1.8% annual interest. This means that

x = y + 15000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5% interest, the interest would be

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 11% interest, the interest would be

I = (x × 1.8 × 1)/100 = 0.018y

if she wants to earn 4.05% annual interest on the total amount, the amount would be

4.05/100 × 15000 = 607.5

Therefore,

0.045x + 0.018y = 607.5 - - - - - - - - - - -1

Substituting x = 15000 - y into equation 1, it becomes

0.045(15000 - y) + 0.018y = 607.5

675 - 0.045y + 0.018y = 607.5

- 0.045y + 0.018y = 607.5 - 675

- 0.027y = - 67.5

y = - 67.5/- 0.027

y = $2500

x = 15000 - y = 15000 - 2500

x = $12500

6 0
2 years ago
Use the chart to answer the following questions:)
Papessa [141]

it issssssss $295.47 thats just ut

8 0
2 years ago
An ice cream shop chose 25 customers at random and asked each to name a favorite flavor. The results are summarized in the pie c
Artemon [7]

Answer: 6 customers

Step-by-step explanation:

From the pie chart,

Given;

Cookies and creams = 24%

Mint chocolate chips = 28%

Straw berry = 20%

Vanilla = 12

Butterscotch = 16

No of customers = 25

Solution

How many of the 25 customers named cookies and cream

= 25 x 24/100

= 25 x 0.24

= 6 customers

6 customers named cookies and cream

3 0
2 years ago
Read 2 more answers
You have $50 to spend on cold cuts for a party. Ham costs $5.99/lbs, and turkey costs $4.99/lbs. Write an equation in standard f
Bumek [7]

Answer:

The answer here is 5.99x + 4.99y <= 50

Step-by-step explanation:

x represents the number of pounds of ham you buy, and y represents the number of pounds of turkey you buy. Since you only have 50 dollars, the amount of money you spend has to be less than or equal to 50.

8 0
2 years ago
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maxonik [38]

Answer:

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Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

The distribution is unknown, so the sampling distribution will only be approximately normal when n is at least 30.

So the correct answer should be:

Approximately normal for large sample sizes

7 0
2 years ago
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