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faltersainse [42]
3 years ago
5

A student ran out of time on a multiple choice exam and randomly guessed the answers for 2 problems. Each problem had 5 answer c

hoices -a,b,c,d,e and only one correct answer. What is the probability that she answered both of the problems correctly
Mathematics
1 answer:
frozen [14]3 years ago
3 0
So if there are 5 choices and only one is correct, there is a 1/5 chance of being correct. since there was 2 questions, you need to multiply 1/5 by 1/5 to get 2/25 of getting both questions correct.

i hope this helps!!
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Find the area of a plane figure bounded by lines
natulia [17]

Answer: 4.5

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

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6   ⇒   x² + x - 2 = 0   ⇒   (x + 2)(x - 1) = 0   ⇒   x = -2, x = 1

Now, integrate from x = -2 to x = 1

\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,    <em>the bottom of the integral is -2 </em>

= \int\limits^1_2 {x+6-x^{2}-2x-4 } \,

= \int\limits^1_2 {-x^{2}-x+2 } \,  

= \frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,

= (\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))

= (\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)

= \frac{-9}{3} + \frac{3}{2} +6

= -3 + 1.5 + 6

= 4.5


3 0
3 years ago
Please help it’s a test and I can’t get logged out
HACTEHA [7]

Answer:

the anwer is B ( i mean second option)

And you can try it

you will find ;

y =  \frac{x}{3}  - 1

HAVE A NİCE DAY

Step-by-step explanation:

GREETİNGS FROM TURKEY ツ

5 0
3 years ago
*50 POINTS -- FRESHMEN ~ ALGEBRA I *
aniked [119]

Step-by-step explanation:

so we know X= Numbers of Large boxes and Y= Numbers of Small boxes

And we know the large boxes weigh <em>7</em><em>5</em><em><u> </u></em><em><u>pounds</u></em> and the small boxes weigh <em>4</em><em>0</em><em> </em><em><u>pounds</u></em>

So I would have to say the the same except you have to flip the inequality sign like this:

75x + 40y

\geqslant  \\

200

And if that doesnt somehow work and the question is wording it wrong then

My guess for why its wrong us because its not in slope intercept form Although you still can solve for either varible ( x or y) using standard form also.

So to get from standard form to Slope intercept form (y=mx+b) these are the steps:

Ax+by=C

75x + 40y ≤ 200

Turn it into a linear equation.

75x+ 40y =200

In order to go from one form to another, all you have to do is change the order of the given numbers. First you want to move the Ax to the opposite side of the equation, by either adding or subtracting it. At this point your equation will be set up By = -Ax + C. Then you want to divide the B from the By and the rest of the equation. Therefore you will have y = - Ax/B + C/B. This is the same thing as the slope-intercept form, just a few of the letters are different.

40y=-75x+200 first subtract 75x

y=−1.875×+5 then dived every varible (everything) by 40. and you have your Linear eqaution.

And your second question would be <em><u>A</u></em><em><u>.</u></em><em><u> </u></em><em><u>>The number of boxes must be a whole number.</u></em><em><u> </u></em>

Because you cannot split boxes in half or in any quarter in a real life scenario.

4 0
3 years ago
Find the APY for an APR of 3.6% compounded (a) yearly. (b) semi-annually. (c) monthly. (d) continuously.
madam [21]

Answer:

Monthly

Step-by-step explanation:

APY is 0.0302 = 3.02 Percent - 3.00% - monthly

5 0
3 years ago
??????????????????????????????
marissa [1.9K]

Answer:

2 and 3

Step-by-step explanation:

7 0
2 years ago
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