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4 years ago

Which is colder -12 or -20

Mathematics

2 answers:

taurus [48]4 years ago

8 0

Answer:

-20 is the coldest.

Step-by-step explanation:

-20 is the coldest because the larger the negative number, the lower/colder the temperature is.

densk [106]4 years ago

4 0

Answer: -20 is colder

Step-by-step explanation: 4; 3; 2; 1; 0; -1; -2; -3 therefore -12 is a bigger number than -20

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3 years ago

Expressions that simplify to the same expression are called _ _ _ _ _ _ _ _ _ _.

AveGali [126]

Answer:

Step-by-step explanation: Expressions that simplify to the same equations are called Linear equations.It can simplify the same equation.

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4 years ago

Find the GCF of 4y and 12y

love history [14]

Answer:

Step-by-step explanation:

The factors of 4 are: 1, 2, 4

The factors of 12 are: 1, 2, 3, 4, 6, 12

Then the greatest common factor is 4.

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3 years ago

21% of adults would pay more for environmentally friendly products. You randomly select 10 adults. Find the probability that th

ElenaW [278]

Answer: a) 0.3011

b) 0.3526

c) 0.6455

Step-by-step explanation:

Given : The proportion of adults would pay more for environmentally friendly products : p= 0.21

Sample size : n= 10

Let x be a binomial variable that denotes the number of adults would pay more for environmentally friendly products.

Using binomial distribution, $P(x)=^nC_xp^x(1-p)^{n-x}$

a) The probability that the number of adults who would pay more for environmentally friendly products is exactly 2 will be :-

$P(x=2)=^{10}C_2(0.21)^2(1-0.21)^{10-2}\\\\=\dfrac{10!}{2!(10-2)!}(0.21)^2(0.79)^8\approx0.3011$

The probability that the number of adults who would pay more for environmentally friendly products is exactly 2=0.3011

b) The probability that the number of adults who would pay more for environmentally friendly products is more than two will be :-

$P(x>2)=1-P(x\leq2)=1-(P(x=0)+P(x=1)+P(x=2))\\\\=1-(^{10}C_0(0.21)^0(1-0.21)^{10}+^{10}C_1(0.21)^1(1-0.21)^{9}+0.3011)\\\\=1-((0.79)^{10}+(10)(0.21)(0.79)^9+0.3011)\\\\=1-(0.0946+0.2517+0.3011)\\\\=1-0.6474=0.3526$

The probability that the number of adults who would pay more for environmentally friendly products is more than two =0.3526

c) The probability that the number of adults who would pay more for environmentally friendly products is between two and five, inclusive will be :-

$P(2\leq x\leq5)=P(x=2)+P(x=3)+P(x=4)+P(x=5)\\\\=0.3011+^{10}C_3(0.21)^3(1-0.21)^7}+^{10}C_4(0.21)^4(1-0.21)^{6}+^{10}C_5(0.21)^5(1-0.21)^{5})\\\\=0.3011+\dfrac{10!}{3!7!}(0.21)^3(0.79)^7+\dfrac{10!}{4!6!}(0.21)^4(0.79)^6+\dfrac{10!}{5!5!}(0.21)^5(0.79)^5\\\\=0.3011+0.2134+0.0993+0.0317=0.6455$

The probability that the number of adults who would pay more for environmentally friendly products is between two and five, inclusive =0.6455

4 0

3 years ago

Solve for x and y in the given the 45° - 45° - 90° triangle shown above. When applicable, simplify all radicals and show your wo

pochemuha

Answer:

x = 5.6 i guess

Step-by-step explanation:

use cos 45 = x/8

maybe

3 0

3 years ago