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7 days ago

Which procedures are examples of Descartes’s rules for scientific reasoning? Check all that apply.

Mathematics

2 answers:

babunello [11.8K]7 days ago

7 0

a, b, e.

Inessa [12.5K]7 days ago

7 0

-keeping a thorough record of the steps and outcomes of a scientific experiment; -conducting an experiment to examine the impacts of gravity on Earth; -solving an expression in stages by adhering to the order of operations.

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While on vacation in Canada, you notice that temperatures are reported in degrees Celsius. You know there is a linear

zzz [12365]

Given that the relationship is linear.

The equation can be expressed as y = mx + c.

Substituting, when x = 0, we have y = 32.

Thus, 32 = c.......( 1 )

Then, when x = 100, y results in 212.

Which gives us:

212 = 100m + c.......( 2 )

By equating equations 1 and 2, we obtain:

100m = 212 - 32

Solving for x yields 1.8.

The final equation is therefore y = 1.8x + 32.

Hence, this represents the required solution.

7 0

1 month ago

Stanley is building a rectangular fence with 44 feet of fencing. If the width is two less than half the length, what is the widt

Zina [12379]

Response:

The fence's width is 6 feet.

Detailed explanation:

To start, let’s define some variables.

Let the width of the fence be denoted as w, and the length as l.

Next, determine the length: the width is 2 feet less than half of the length.

w = l/2 - 2

Alternatively, l/2 can be expressed as w + 2, leading to l = 2(w + 2).

The total perimeter of the fence is 44 feet. The perimeter for a rectangle can be calculated using the formula:

P = 2(l + w)

Inserting what we know:

P = 44 and l = 2(w + 2)

44 = 2(2(w+2) + w)

44 = 2(2w + 4 + w)

44 = 2(3w + 4)

44 = 6w + 8

6w = 36

w = 36/6

w = 6 feet

6 0

1 month ago

The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

zzz [12365]

Answer:

Based on the findings, we infer that the average cost of a wedding is lower than the $30,000 that was initially suggested.

Step-by-step explanation:

The following data set is provided: (in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ denotes data points, $\bar{x}$ represents the mean, and n indicates the number of samples.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{236100}{8} = 29512.5$

The sum of squares of the differences equals 3408750

$S.D = \sqrt{\frac{3408750}{7}} = 697.82$

The population mean, μ = $30,000

The sample mean, $\bar{x}$ = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $697.82

Initially, we formulate the null hypothesis and the alternative hypothesis.

$H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars}$ A one-tailed t-test will be conducted for this analysis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

$t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975$

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$t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894$

$t_{stat} < t_{critical}$

Thus, we conclude that the average wedding cost is indeed less than the advertised $30,000.

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8 0

1 month ago

Marks brothers is paying a dividend of 56.25 on each share. How much will PRH recieve in dividends

Leona [12618]

I'm uncertain if this is accurate.

The problem states the dividend per share is 56.25. To calculate the total dividend PRH receives, the total shares owned by PRH should be provided. In any case, the dividend can be found with this formula:

Dividend = 56.25 × (Number of Shares)

3 0

2 months ago

Len made 1 1/3 liters of punch. He added 2/5 liters of water to make the punch. How much water was used for each liter of punch?

babunello [11817]

Answer:

3/10 liter

Step-by-step explanation:

Assuming your statement indicates that in 4/3 liters of punch, there is 2/5 liters of water, then the proportion of water in the punch is calculated as:

(2/5)/(4/3) = (2/5)(3/4) = 3/10

So, 3/10 of a liter of water is included in each liter of punch.

5 0

1 month ago