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yuradex [85]
3 years ago
11

A spinner has 12 equal sectors with different letters for each sector Hamlet spins the spinner 5 times, and it stops at the lett

er "B" 4 times. If he spins the spinner a 10th time, what is the theoretical probability that this time it will stop at the letter 'B'?
Mathematics
1 answer:
rodikova [14]3 years ago
8 0
The spinner has no memory. The probability of a 'B' is 1/12 or 8-1/3%. The first time, the 10th time, and the millionth time. No matter what has happened before.
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a certain triangle has a perimeter of 3067 mi. the shortest side measures 71 mi less than the middle side and the longest side m
UkoKoshka [18]

Answer:

The measure of the shortest side is 851 miles

Step-by-step explanation:

Let

x ----> the measure of the shortest side

y ---> the measure of the middle side

z ---> the measure of the longest side

we know that

The perimeter of triangle is equal to

P=x+y+z

P=3,067\ mi

so

3,067=x+y+z ----> equation A

the shortest side measures 71 mi less than the middle side

so

x=y-71 ----> equation B

the longest side measures 372 mi more the the middle side

so

z=y+372 ----> equation C

substitute equation B and equation C in equation A

3,067=(y-71)+y+(y+372)

solve for y

3,067=3y+301\\3y=2,766\\y=922

Find the value of x

x=y-71\\x=922-71\\x=851

therefore

The measure of the shortest side is 851 miles

6 0
3 years ago
Solve each system of equations; nonlinear algebra 2<br><br> x2 + x + y - 26 = 0<br> x + y = 1
BigorU [14]

Answer:

(5,-4) and (-5,6)

Step-by-step explanation:

Given:

\left\{\begin{array}{l}x^2+x+y-26=0\\ \\x+y=1\end{array}\right.

Solve it. First, express y in terms of x from the second equation:

y=1-x

Substitute it into the first equation:

x^2+x+1-x-26=0\\ \\x^2-25=0\\ \\(x-5)(x+5)=0

Apply zero product property:

x-5=0\ \text{or}\ x+5=0

So,

x=5\ \text{or}\ x=-5

When x=5, then y=1-5=-4

When x=-5, then y=1-(-5)=6

We get two solutions: (5,-4) and (-5,6)

8 0
3 years ago
How would you simplify the expression represented by the diagram below? Four figures. The first consists of 4 squares each label
Sergeu [11.5K]

Answer:

6 x 3c

Step-by-step explanation:

6 0
3 years ago
Which of the following expressions is equivalent to -5.4 - (2.1 + 1.8)?
Leno4ka [110]
-5.4 - (2.1 + 1.8)=-9.3

So I would say A. Thanks for asking your question today and have a good day on Brainly.com! :)
4 0
3 years ago
FREEEEEEEEEEEEEEEEEEEEEEEE POINTS!!!!!!!!!!!!!
muminat
Bless ur kind soul :o
4 0
3 years ago
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