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2 years ago

Which statement describes best the life of René Descartes ?!!!!!

Mathematics

2 answers:

abruzzese [7]2 years ago

8 0

Answer: He always love mathematics, but started his career studying law and joining the army.

Step-by-step explanation:

Rene Descartes is a famous person known for his great contribution in Mathematics and Philosophy.

He is also called the "Father of Modern Philosophy".

Since his childhood , he always loved mathematics but he started his career in studying law and achieved degree a license and a degree in civil and canon law from the University of Poiters.

After that he joined the army. But after leaving army he realised his affection with mathematics , so he started his study and research in mathematics and philosophy.

Therefore the life of Rene Descartes is best described as "He always loved mathematics, but started his career studying law and joining the army."

larisa [96]2 years ago

6 0

I think its the 2nd one

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The owner of an art supply store buys tubes of magenta oil paint for $10.80 and marks up the cost by 10% to determine the retail

Tanzania [10]

Answer:

10.80 - 20 percent equals 8.64

Step-by-step explanation:

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2 years ago

Hard times In June 2010, a random poll of 800 working men found that 9% had taken on a second job to help pay the bills. (www.ca

Phoenix [80]

Answer:

a) The 95% confidence interval would be given (0.0702;0.1098).

We can conclude that the true population proportion at 95% of confidence is between (0.0702;0.1098)

b) Since the confidence interval NOT contains the value 0.06 we have anough evidence to reject the claim at 5% of significance.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p$ represent the real population proportion of interest

$\hat p =0.09$ represent the estimated proportion for the sample

n=800 is the sample size required

$z$ represent the critical value for the margin of error

Confidence =0.95 or 95%

Part a

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

The margin of error is given by :

$Me=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

$Me=1.96 \sqrt{\frac{0.09(1-0.09)}{800}}=0.0198$

And replacing into the confidence interval formula we got:

$0.09 - 1.96 \sqrt{\frac{0.09(1-0.09)}{800}}=0.0702$

$0.09 + 1.96 \sqrt{\frac{0.108(1-0.09)}{800}}=0.1098$

And the 95% confidence interval would be given (0.0702;0.1098).

We can conclude that the true population proportion at 95% of confidence is between (0.0702;0.1098)

Part b

Since the confidence interval NOT contains the value 0.06 we have anough evidence to reject the claim at 5% of significance.

6 0

2 years ago

Points a, b, and c are midpoints of the sides of right triangle def. Which statements are true select three options. A B C D E

bagirrra123 [75]

Answer : The correct statements are,

AC = 5 cm

BA = 4 cm

The perimeter of triangle ABC is 12 cm.

Step-by-step explanation :

As we know that a, b, and c are midpoints of the sides of right triangle that means midpoint divide the side in equal parts.

Now we have to calculate the sides of triangle ABC by using Pythagoras theorem.

Using Pythagoras theorem in ΔACF :

$(AC)^2=(FA)^2+(CF)^2$

Now put all the values in the above expression, we get the value of side AC.

$(AC)^2=(3)^2+(4)^2$

$AC=\sqrt{(9)^2+(16)^2}$

$AC=5cm$

Using Pythagoras theorem in ΔDAB :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(BD)^2=(AD)^2+(BA)^2$

Now put all the values in the above expression, we get the value of side BA.

$(5)^2=(3)^2+(BA)^2$

$BA=\sqrt{(5)^2-(3)^2}$

$BA=4cm$

Using Pythagoras theorem in ΔBEC :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(BE)^2=(CE)^2+(CB)^2$

Now put all the values in the above expression, we get the value of side CB.

$(5)^2=(4)^2+(CB)^2$

$CB=\sqrt{(5)^2-(4)^2}$

$CB=3cm$

Now we have to calculate the perimeter of ΔABC.

Perimeter of ΔABC = Side AB + Side CB+ Side AC

Perimeter of ΔABC = 4 + 3 + 5

Perimeter of ΔABC = 12 cm

Now we have to calculate the area of ΔABC.

Area of ΔABC = $\frac{1}{2}\times 4\times 3=6cm^2$

Now we have to calculate the area of ΔDEF.

Area of ΔDEF = $\frac{1}{2}\times 8\times 6=24cm^2$

Area of ΔABC = $\frac{6}{24}\times$ Area of ΔDEF

Area of ΔABC = $\frac{1}{4}$ Area of ΔDEF

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2 years ago

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nata0808 [166]

Answer: B

Step-by-step explanation:

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2 years ago

mike and mandy bought the same item mike aid 15,000 mandy got a discount and paid 3,00 less how much of a discount did she get??

Arada [10]

She got a 20% discount (or 80% discount). (Work shown for 80%).
First you have to find out how much Mandy paid. So from 15000 you will subtract 3000. 15000-3000=12000.
Next you need to set up your equation. $\frac{1200}{15000}= \frac{x}{100}$ . You then have to cross multiply. So 100 times 12000, 100*12000=1200000. And 15000 times x is 15000x. Finally you divide both sides by 15000. And 1200000 divided by 15000 is 80. X=80

5 0

2 years ago

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