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hoa [83]
3 years ago
9

The density of gold is 19.3 grams per cubic centimeter. Rachel determines that the density of a coin is 18.7 grams per cubic cen

timeter. Based on this evidence, she concludes that the coin is not gold or at least not entirely gold. Is this an example of inductive or deductive reasoning?​
Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0

Answer:

The reasoning is  a deductive.

  The reason is because the pattern of  thought is logical, here, scientific methods ( i.e mathematically obtaining and comparing the density of the coin and the  gold ) are used to support the conclusion.

Step-by-step explanation:

Gnerally the reasoning is  a deductive.

  The reason is because the pattern of  thought is logical and scientific methods (eg mathematical equation (formula for density)) are applied to arrive at the  conclusion.

You might be interested in
the ratio of men to women working for a company is 4 to 7. If there are 286 employees total, how many men work for the company?
patriot [66]

Answer:  104 men work for the company

Step-by-step explanation:

    man = 4            x

woman = 7--------- you don't need these so i cross it out.

------------------------

    total = 11         286  

so you get 1144 - 11x

then divide 1144 by 11 and you get x = 104          

3 0
3 years ago
Write the following in the ratio form a) 0.5 b) 0.6 c) 1.25 d) 3.4​
alex41 [277]

Answer:

A) 1:2

B) 3:5

C) 5:4

D) 17:5

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction

Step 2) Multiply the numerator and denominator by 10 to eliminate the decimal point.

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF)

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon

Heres an example. I'll do the last one.

3.4 = 3.4/1

(3.4 x10) /(1 x 10)= 34/10

34 /2 = 17

10/2  = 5

17/5 = 17:5

5 0
2 years ago
How many pairs of whole numbers have a sum of 99?
Dmitry_Shevchenko [17]
There are 50 pairs of whole numbers
5 0
3 years ago
Solve sin x - (3sin x-1) = 0
soldi70 [24.7K]

Answer:

\large\boxed{x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}}

Step-by-step explanation:

\sin x-(3\sin x-1)=0\\\\\sin x-3\sin x+1=0\qquad\text{subtract 1 from both sides}\\\\-2\sin x=-1\qquad\text{divide both sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}

\text{Equation:}\\\\\sin x=a\\\\\text{has solutions}\\\\x=\theta+2k\pi\ \vee\ x=(\pi-\theta)+2k\pi\\\\\text{Why}\ 2k\pi?\\\text{Because the sine function has a period of}\ 2\pi.

\text{look at the table}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}\ \vee\ x=\pi-\dfrac{\pi}{6}=\dfrac{5\pi}{6}

\text{Other solution:}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\sin^{-1}\dfrac{1}{2}\\\\x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi

3 0
3 years ago
Given that a=4, b=3 and c=-4 work out b(squared) -2ac
Lesechka [4]

Answer:

41

Step-by-step explanation:

b^2 -2ac

Let  a=4  b=3  c=-4

( 3)^2 -2 (4) (-4)

Exponents first

9 - 2 (4) (-4)

Multiply

9 + 32

41

4 0
2 years ago
Read 2 more answers
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