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Effectus [21]
3 years ago
13

Write down a fraction that is more than 41% less than 42% brainiest awarded!

Mathematics
1 answer:
liberstina [14]3 years ago
3 0

Answer:

83/200

Step-by-step explanation:

41%=41/100=0.410

42%=21/50=0.420

41.5%=83/200=0.415

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There are 5 questions on a multiple choice exam, each with five possible answers. If a student guesses on all five questions, wh
Mrac [35]

Answer:

20.5\%

Step-by-step explanation:

Let's write out a case for two specific questions being correct and the rest being incorrect:

\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5},

The \frac{1}{5} represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.

The \frac{4}{5} represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.

The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.

We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter): \binom{5}{2}=10.

Therefore, the probability the student gets two questions correct is:

\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \binom{5}{2}=\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot 10=0.2048\approx \boxed{20.5\%}

6 0
3 years ago
Given f(x)=3x-1 and g(x)=2-3, for which value of g(x)=f(2)?
djverab [1.8K]
We have, by function notation, that

f(2)=3(2)=5

now we have 
2x-3=5
2x=8
x=4

So the answer to this is 4
Hope this helped :)
Have a great day 
6 0
3 years ago
Find the area of the parallelogram shown below
pantera1 [17]
A=bh \\ b=7, \ \ h=5 \\  \\ A=7*5=35 \ \text{units}^2
5 0
3 years ago
Read 2 more answers
Write an inequality that represents the given graph
Ugo [173]

Answer:

I believe the answer is C.

Step-by-step explanation:

:)

Hope this helps!

<3

3 0
3 years ago
Find the angle between the given vectors to the nearest tenth of a degree. u = &lt;-5, -4&gt;, v = &lt;-4, -3&gt; (1 point)
sesenic [268]

Angle between u = -5i-4j , v=-4i-3j is x =0° .

<u>Step-by-step explanation:</u>

We have , two vectors u = <-5, -4>, v = <-4, -3>  or , u = -5i-4j , v=-4i-3j

We need to find angle between these two vectors . Let's find out:

We know that dot product of two vectors is defined as :

u.v =|u|(|v|)cosx , where x is angle between u & v !

⇒ u.v =|u|(|v|)cosx

⇒ cosx =\frac{u.v}{|u|(|v|)}

Now , u.v = (-5i-4j)(-4i-3j)

⇒ u.v = (-5i-4j)(-4i)-(-5i-4j)(3j)

⇒ u.v = 20+12            { i(j) = j(i) =0  }

⇒ u.v = 32

Now , Modulus of any vector  r = xi+yj is |r| = \sqrt{x^{2}+y^{2}} So ,

|u| = \sqrt{(-5)^{2}+(-4)^{2}} = \sqrt{25+16} = \sqrt{41} \\\\|v| = \sqrt{(-4)^{2}+(-3)^{2}} = \sqrt{16+9} = \sqrt{25} = 5

Putting all these values in equation cosx =\frac{u.v}{|u|(|v|)} we get:

⇒ cosx =\frac{32}{5(\sqrt{41})}

⇒ cos^{-1}(cosx) =cos^{-1}(\frac{32}{5(6.4)})

⇒ x =cos^{-1}(1)                 { cos0 = 1  }

⇒ x =0°

Therefore , Angle between u = -5i-4j , v=-4i-3j is x =0° .

8 0
3 years ago
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