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katrin [286]
3 years ago
5

Eli has 7 black pens and 6 blue pens in his desk drawer. he also has 4 yellow highlighters, 2 green highlighters, and 3 pink hig

hlighters in his pencil case. if he chooses one pen and one highlighter without looking, what is the probability that he will get a blue pen and he will not get a pink highlighter?
Mathematics
1 answer:
topjm [15]3 years ago
7 0
Probability that Eli will get a blue pen: 6 / 13 ( there are 6 blue pens and 13 pens together ).
Probability that Eli will not get the pink highlighter: 6 / 9 ( yellow + green = 4 + 2 = 6 and there are 9 together ).
P = 6/13 · 6/9 = 6/13 · 2/3 = 2/13 · 2 = 4/13 = 0.3077 = 30.77%.
Answer:
The probability is 4/13 or 30.77%.
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A bandleader randomly select's two students out of 100 bandmembers if you and your brother are both bandmembers what is the prob
kherson [118]
<span>There are 100 * 99 = 9900 different ways to choose two students out of 100 bandmembers. You and our brother are 2 of that ways: you being selected first and you being selected second. Therefore the probability that you two are selected is 2 / 9900 = 0,000202. You can also think as the probability of you being selected among 100 bandmembers, which is 1/100, times the probability of your brother being selected among 99 members, which is 1/99 => (1/100) * (1/99) = 1/ (100*99) = 1 / 9900; plus the same for your brother being selected first and you second => [1/9900] * 2 = 2/9900, which is the same calculated above.</span>
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3 years ago
The sales tax for a certain state is 7%. Which of the following situations apply the correct amount of sales tax for the given a
riadik2000 [5.3K]

Answer:

I think its c but I'm not sure. You need to ask a professional.

Step-by-step explanation:

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3 years ago
A student dropped a textbook from the top floor of his dorm and it fell according to the formula s(t) = −16t 2 + 8√t , where t i
Sidana [21]

Answer:

<h2>-29.61m/s</h2>

Step-by-step explanation:

Given the distance of fall of the student in term of the time t expressed by the equation s(t) = −16t² + 8√t, to get the average speed of fall of the pencil after 2.8 secs, we will need to differentiate the given function first since Velocity is the change in distance of a body with respect to time i.e

V = d(s(t))/dt

s(t) = −16t² + 8t^1/2

V = -32t+1/2(8)t^(1/2 - 1)

V = -32t+4t^-1/2

The average speed of the fall Using the fact that the pencil hit the ground in exactly 2.8 seconds, will be gotten by substituting t = 2.8 into the resulting equation.

V = -32t+4(2.8)^-1/2

V = -32t+4/√2.8

V = -32+4/1.6733

V = -32+2.391

v = -29.61m/s

<em>Hence the average speed of the fall is -29.61m/s</em>

3 0
3 years ago
In triangle abc, m of acb = 90, cd is perpendicular to ab , m of acd is 60. and bd is 5 cm. find ad
weeeeeb [17]

Let us draw a picture to make the things more clear.

Attached is the image.

We have been given that

\angle acd = 60 ^{\circ}

Therefore, we have

\angle dcb =90- 60= 30 ^{\circ}

Now, in triangle bcd, we have

\tan30 = \frac{5}{cd}\\&#10;\\&#10;\frac{1}{\sqrt 3}=\frac{5}{cd}\\&#10;\\&#10;cd=5\sqrt 3

Now, in triangle acb, we have

tan 60 = \frac{ad}{5\sqrt3} \\&#10;\\&#10;\sqrt 3=  \frac{ad}{5\sqrt3}\\&#10;\\&#10;ad= 5\sqrt3 \times \sqrt 3\\&#10;\\&#10;ad= 5\times 3\\&#10;\\&#10;ad=15

Thus, ad is 15 cm.


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