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natita [175]
3 years ago
9

HELP PLEASE!! EXTRA POINTS AND BRAINLIEST WILL BE GIVEN!!

Mathematics
1 answer:
mezya [45]3 years ago
3 0

Answer:

0.02651

Step-by-step explanation:

P(all 5 are boys) =

\frac{7}{12}  \times  \frac{6}{11} \times  \frac{5}{10}   \times  \frac{4}{9}  \times  \frac{3}{8}

= 0.02651 ( wow low)

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Show work please.<br><br> solve system of equations using matrices.
nadya68 [22]

Answer:

(t, t -1, t)

Step-by-step explanation:

You have three unknowns but only 2 equations, so you can't really SOLVE this...you can get a solution with a variable still in it (I forget what this is called.  I think it refers to infinite many solutions).  Here's how it works:

Set up your matrix:

\left[\begin{array}{ccc}1&-2&1\\2&-1&-1\\\end{array}\right] \left[\begin{array}{ccc}2\\1\\\end{array}\right]

You want to change the number in position 21 (the 2 in the scond row) to a 0 so you have y and z left.  Do this by multiplying the top row by -2 then adding it to the second row to get that 2 to become a 0.  Multiplying in a -2 to the top row gives you:

\left[\begin{array}{ccc}-2&4&-2\\2&-1&-1\\\end{array}\right]\left[\begin{array}{ccc}-4\\1\\\end{array}\right]

Then add, keeping the first row the same and changing the second to reflect the addition:

\left[\begin{array}{ccc}-2&4&-2\\0&3&-3\\\end{array}\right] \left[\begin{array}{ccc}-4\\-3\\\end{array}\right]

The second equation is this now:

3y - 3z = -3.  Solving for y gives you y = z - 1.  Let's let z = t (some random real number that will make the system true.  Any number will work.  I'll show you at the end.  Just bear with me...)

lf z = t, and if y = z - 1, then y = t - 1.  So far we have that y = t - 1 and z = t.  Now we solve for x:

From the first equation in the original system,

x - 2y + z = 2.  Subbing in t - 1 for y and t for z:

x - 2(t - 1) + t = 2.  Simplify to get

x - 2t + 2 + t = 2  and  x - t = 0, and x = t.  So the solution set is (t, t - 1, t).  Picking a random value for t of, let's say 2, sub that in and make sure it works.  If:

x - 2y + z = 2, then t - 2(t - 1) + t = 2 becomes t - 2t + 2 + t = 2, and with t = 2, 2 - 2(2) + 2 + 2 = 2.    Check it:  2 - 4 + 4 = 2 and 2 = 2.  You could pick any value for t and it will work.

6 0
3 years ago
Gyaltsho's mass would be 32kg​
adoni [48]

Answer:

What type of question is this?

Step-by-step explanation:

4 0
3 years ago
What are 3 input and output values for the equation y=-x^2+4?
pogonyaev
Here, The function:  y = -x² + 4
Input values would be x coordinates & output values would be y.

When, x = 1, y = (-1)² + 4 = 1 + 4 = 5
x = 2, y = (-2)² + 4 = 4 + 4 = 8
x = 3, y = (-3)² + 4 = 9 + 4 = 13

In short, Your Three input values are: 1, 2, 3
Three Output values are: 5, 8, 13

Hope this helps!
4 0
3 years ago
Twelve less than twice a number is 32. What is the number?
Kisachek [45]

Answer:

22

Step-by-step explanation:

22*2= 44

44-12=32

6 0
3 years ago
Two cyclists leave a city at the same time, one going east and the other going west. The westbound cyclist bikes at 3 mph faster
NikAS [45]
We will say that the eastbound cyclist is going x mph. This means that the westbound cyclist is going x+3 mph.
They are both cycling for 6 hours and end up 162 miles apart.
Distance=rate*time
6x+6(x+3)=162
6x+6x+18+162
12x=144
x=12
So, the eastbound cyclist is going 12 mph.
Remember the westbound cyclist is going 3 mph faster, so s/he is going 15 mph.
Hope this helps!!
7 0
3 years ago
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