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Nataliya [291]
3 years ago
13

Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expect

ed value of the number of points for one roll?
Mathematics
2 answers:
Amanda [17]3 years ago
5 0
P(8 or 12) = 1/6
P(not 8 or 12 = 5/6
Let the expected points fro one roll be X.
E(X)=9\times\frac{1}{6}-2\times\frac{5}{6}=-\frac{1}{6}\ points
The answer is -(1/6) points.
kirill115 [55]3 years ago
3 0

Answer:

-(1/6)

Step-by-step explanation:

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If AM = x + 8 and MB= 6x – 2, find MB.
IrinaK [193]

Answer:

10

Step-by-step explanation:

Firstly, AM=x+8

or, A=x+8-M......eqn (i)

MB=6x-2

or, B=6x-2-M......eqn (ii)

Now,

from eqn (i) and (ii)

x+8-M=6x-2-M

or, 8+2=6x-x-M+M

or, 10=5x

or, 10÷5=x

therefore, x=2

Again,

MB=6x-2

=6×2-2

=12-2

=10

is it correct

please mark me as BRAINLIEST

8 0
2 years ago
Jane is saving to buy a cell phone. She is given a $100 gift to start and saves $35 a month from her allowance. So after 1 month
Slav-nsk [51]

Yes, it makes sense to represent the relationship between the amount saved and the number of months with one constant rate. The relationship is 35x+ 100.

<h3>Relationship between the amount saved and the number of months</h3>

After 1 month, Jane will  saved=$35+$100

After 1 month, Jane has saved=$135

Hence,

Let x represent  the number of months

Since every month she saved $35 which inturn means that in x number of months she can save 35x. Based on this the relationship between the amount saved and the number of months  is 35x +100.

Therefore it makes sense to represent the relationship between the amount saved and the number of months with one constant rate. The relationship is 35x+ 100.

Learn more about  Relationship between the amount saved and the number of months here:brainly.com/question/13199011

#SPJ1

4 0
1 year ago
Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 6 0 % 60%60, percent
Molodets [167]
If there are 12 items adding up to 60%, we want to know how many items more it will take to equal 100% So set up this equation 12/x = .6 then solve for x. x=12/.6 x = 20 now that we know the total you can subtract 12 from 20 and get 8, that is the number of items left on the list.
8 0
3 years ago
Read 2 more answers
Describe how (2 cubed) (2 superscript negative 4) can be simplified. Multiply the bases and add the exponents. Then find the rec
charle [14.2K]

Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

<h3>What is an exponent?</h3>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

2³ × 2⁻⁴  = 2⁽³⁻⁴⁾

2³ × 2⁻⁴  = 2⁻¹

Then find the reciprocal and change the sign of the exponent.

2^3* 2^{-4} = 2^{-1}\\\\2^3* 2^{-4} = \dfrac{1}{2}\\\\2^3* 2^{-4} = 0.5

The value is 0.5.

More about the exponent link is given below.

brainly.com/question/5497425

7 0
2 years ago
A particle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). If the velocity of the par
sasho [114]

The velocity of the particle is given by

v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du

Since a(t)=-4\sin2t and v(0)=7, we get

\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2

\implies v(t)=2\cos2t+5

Similarly, the position function is obtained via

x(t)=x(0)+\displaystyle\int_0^tv(u)\,\mathrm du

We know v(t) and we're told that x(0)=0, so

\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t

\implies x(t)=\sin2t+5t

making the answer A.

3 0
3 years ago
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