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Maksim231197 [3]
3 years ago
12

Twenty percent of all undergraduates at a university are chemistry majors. In a random sample of six ​students, find the probabi

lity that exactly four are chemistry majors.
Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0
The probability that 4 are chem majors would be 5%
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Work out an expression for the nth term for this sequence:<br><br> 23,35,47,49
notsponge [240]
<h3>Answer:</h3>

a_n = 23 +12(n -1)

<h3>Explanation:</h3>

The nth term of an arithmetic sequence is explicitly defined as a_n = a_1 +d(n -1) where a_1 is the first term of the sequence and d is the the common difference.

From the given first five terms of the sequence we can see that the first term is 23 so a_1 = 23.

The common difference, d, can be calculated by a_n - a_{n -1} so we'll find the common difference of the given sequence by letting n = 2

d = a_2 - a_{2 -1} \\d = a_2 -a_{1} \\d = 35 -23 \\ d = 12.

Now let's plug everything we know.

a_1 = 23

d = 12

a_n = 23 + 12(n -1)

7 0
2 years ago
2y = x + 10<br> 3y = 3x + 15
ExtremeBDS [4]
<span>{2y = x + 10
{3y = 3x + 15  |:3

</span>{2y = x + 10
{y = x + 5

{2(x+5) = x + 10
{y = x + 5

{2x+10 = x + 10
{y = x + 5

{2x - x = 10 - 10
{y = x + 5

{x = 0
{y = x + 5

{x = 0
{y = 5
6 0
3 years ago
picture above
MAXImum [283]

Answer:

False :)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Help please!!!!<br> Simplify the following <br> Sqrt 100 x ^13
Ket [755]

Answer:

The answer is 10x^6 * sqrt x

Step-by-step explanation:

Hope it works

3 0
3 years ago
Which triangle is ​△MNO​ similar to and why? △MNO is similar to △GHK by ​ AA Similarity Postulate ​. ​△MNO​ is similar to △DEF b
andrew11 [14]
<span>MNO is similar to GHK by AA Similarity Postulate

   Let's start by listing each triangle and the measurements of all three angles. For each triangle, we've been given the measurements of 2 of the angles and the 3 angle will simply be 180 minus the other 2 angles. I assume you can do the subtraction, so I'll simply list each triangle with all three angle measurements.
 NMO: 79, 22, 79
 GHK: 79, 79, 22
 PQR: 20, 79, 81
 DEF: 82, 22, 76
   And the triangles NMO and GHK are similar to each other since they have the same angles. The order really doesn't matter since it's OK for similar triangles to be rotated or reflected. The key thing to remember in a triangle is that if you've been told what 2 of the angles are, you also know what the 3rd angle is since the sum of the angles of a triangle will always be 180.
So the answer is:
 MNO is similar to GHK by AA Similarity Postulate"</span>
7 0
3 years ago
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