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3 years ago

Pls help will give brainliest and pls give explanation

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

8 0

Answer:

-4, 2, 8, 14, 20

Step-by-step explanation:

The rule is called a "position to term" rule. That means the word "position" is being used to identify the location of a term in the sequence. The first term is in position 1, for example. Using the rule that the position is multiplied by 6, then 10 is subtracted, we find the terms to be as follows.

In position 1, the term is ...

1×6 -10 = -4

In position 2, the term is ...

2×6 -10 = 2

In position 3, the term is ...

3×6 -10 = 8

In position 4, the term is ...

4×6 -10 = 14

In position 5, the term is ...

5×6 -10 = 20

The first 5 terms are -4, 2, 8, 14, 20.

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Three relationships are described below: I. The amount of fuel used on a trip increases as the size of the car increases and as

jekas [21]

Variation are of 2 types: Direct variation that states 'if x increases, y increases'. And inverse variation which states ' if x increases, y decreases and y increases x increases'.

1. The amount of fuel used on a trip increases as the size of the car increases and as the distance traveled increases. = Direct variation

2. As the number of people helping mow a lawn increases, the time it takes to mow the lawn decreases = Inverse variation

3. The cost of having a house painted increases as the size of the house increases. = Direct variation

5 0

3 years ago

There are two types of farming tractors on the market, the FT250 and the FT500. The only difference between the two is that the

irina [24]

Answer:

The statistical value farmers place on avoiding a tractor accident is $200,000.

The statistical value farmers place on avoiding a tractor fatal accident is $15,000,000.

Step-by-step explanation:

We have two tractors, with different probabilities of non-fatal and fatal accidents, and also different prices.

We will use this price difference to estimate how it is valued a non-fatal and fatal accident.

The difference in prices is:

$\Delta P=125,000-137,000=-12,000$

The expected non-fatal accidents for each tractor is

$FT500\rightarrow 1/10=0.1\\\\FT250 \rightarrow 1/25=0.04$

The difference in expected non-fatal accidents is:

$\Delta NFA = 0.10-0.04=0.06$

For a 6% more chance of having an accident, the farmers discounts 12,000 for the price of the less safe of the tractors.

Then, we can calculate the statistical value farmes place on avoiding a tractor accident as:

$V_{NFA}=\frac{-\Delta P}{\Delta NFA} =\frac{12,000}{0.06} =200,000$

The expected fatal accidents for each tractor is

$FT500\rightarrow 1/1,000=0.0010\\\\FT250 \rightarrow 1/5,000=0.0002$

The difference in expected fatal accidents is:

$\Delta NFA = 0.0010-0.0002=0.0008$

For a 0.08% more chance of having an fatal accident, the farmers discounts 12,000 for the price of the less safe of the tractors.

Then, we can calculate the statistical value farmes place on avoiding a tractor accident as:

$V_{FA}=\frac{-\Delta P}{\Delta FA} =\frac{12,000}{0.0008} =15,000,000$

8 0

3 years ago

What measure of center best represents the data set? Drag and drop the correct answer into the box. Data Set Best Measure of Cen

ella [17]

The measure of center best represents the data set is Mean or Median.

Given

Data Set Best Measure of Center {27, 29, 26, 28, 25}.

The mean is the average of a set of data.

The mean is found by finding the sum of the data and then dividing the sum by the number of data.

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The mean of the given data set is;

$\rm Mean = \dfrac{27+29+26+28+25}{5}\\\\Mean =\dfrac{135}{5}\\\\Mean =27$

Arranging the data set in the ascending order

{25, 26, 27, 28, 29}

The median is defined as the middle value of the given data set.

The median of the data set is 27.

Hence, the measure of center best represents the data set is Mean or Median.

To know more about mean and median click the link is given below.

brainly.com/question/1363341

8 0

2 years ago

Which of the following fractions is equivalent to 0.45?<br> 45/1000<br> 3/10<br> 9/20<br> 5/9

-Dominant- [34]

In Order To Find The Answer To this quetsion,you have to divide each set of fractions by them selfs and there for 9/20 and 45/1000 are the closest ones.
Divide 45/1000=0.045 but Divide 9/20=0.45 and that is your answer.

8 0

3 years ago

Read 2 more answers

Jonathan has a bag that co rains exactly one red marble (r), one yellow marble (y) and one green marble (g). He chooses a marble

liraira [26]

Answer: The first outcome shall be 0.33 or 33%.

The second outcome would be 0.5 or 50%

Step-by-step explanation: The bag contains exactly one yellow, one red and one green marble. So when he draws the first marble the sample space shall be the total possible outcomes, which is three, since he has three (3) marbles altogether. When he draws the first time without looking, all three marbles have an equal probability of being picked which can be derived thus;

P(Red) = Number of required possibilities/Number of all possibilities

P(Red) = 1/3

P(Red) = 0.33

Note that there is only one marble of each color which means P(Yellow) and P(Green) is also 0.33 respectively.

After choosing the first marble, without replacing the first one he now chooses another marble. The sample size would have reduced to 2 (since one marble has been drawn). Hence, the outcome when he draw a second marble can be calculated as follows;

P(Red) = Number of required outcomes/Number of possible outcomes

P(Red) = 1/2

P(Red) = 0.5

6 0

3 years ago