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rjkz [21]
3 years ago
12

A student is flipping a fair coin. His first 2 flips landed on heads while his next 3 flips landed on tails. What is the probabi

lity that the student's next flip will be tails?
Mathematics
1 answer:
Vikentia [17]3 years ago
8 0

Answer:

50 %

Step-by-step explanation:

the probability doesn't change based on previous flips. It will always be 50 50

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Solve for x: -1/2(-4+2x) = -6 - 4x
antiseptic1488 [7]
-\dfrac{1}{2}(-4+2x)=-6-4x\ \ \ \ \ |multiply\ both\ sides\ by\ (-2)\\\\-4+2x=12+8x\ \ \ \ |add\ 4\ to\ both\ sides\\\\2x=16+8x\ \ \ \ \ |subtract\ 8x\ from\ both\ sides\\\\-6x=16\ \ \ \ \ |divide\ both\ sides\ by\ (-6)\\\\x=-\dfrac{16}{6}\\\\x=-\dfrac{8}{3}\\\\\boxed{x=-2\frac{2}{3}}
5 0
3 years ago
Equation of a straight line (see attached)
Viefleur [7K]

Answer:

y = 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2,3)

m = \frac{3-7}{2-4} = \frac{-4}{-2} = 2 , thus

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 3), then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 2x - 1 ← equation of line

8 0
3 years ago
Read 2 more answers
Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 u
RoseWind [281]

Transformation involves changing the form of a function.

The absolute value function is f(x)=0.3|x -2|

The parent function of the absolute value function is:

f(x)=|x|

When the function is translated 2 units to the right, the new function is:

f(x)=|x -2|

From the function to be wider than the absolute function, the function must be stretched by a factor less than 1.

The possible function from the list of given options is f(x)=0.3|x -2|

Read more about function transformation at:

brainly.com/question/1548871

6 0
3 years ago
Graph (-4, 5), (2, 3), (-3.0), (-4. -5). (-5. 2), and (-5,3) and connect the points to form a polygon. How many sides does the p
kykrilka [37]

Answer:

I think the sides of polygon are 6

Step-by-step explanation:

Because to form a polygon we need to the first to form a horizontal and vertical line,to find the number in that line,and join the line based on the numbers given, then you will get a polygon with 6 side

7 0
3 years ago
Travis has decided to budget his spending money. He can spend no more
Oxana [17]

x + 4.3x \leq 125.75 is the inequality that describes this problem

<h3><u>Solution:</u></h3>

Given that Travis can spend no more  than $125.75 every month

To find: linear inequality that describes the problem

Let the amount spent on movies = x dollars

Given that Travis decided to spend 4.3 times as much  money on video games as he spends on movies

Amount spent on video games = 4.3 (amount spent on movies)

Amount spent on video games = 4.3x

Travis can spend no more than $125.75.  That is, he can spend less than or equal to $125.75

<em><u>Thus, the inequality representing the situation is:</u></em>

\text{ Amount spent on movies + Amount spent on video games } \leq 125.75

x + 4.3x \leq 125.75

Thus the required inequality is found

6 0
3 years ago
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