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madreJ [45]
3 years ago
12

A fair coin is flipped 20 times. Your friend proposes a bet where if it lands on heads exactly 10 times, you win $4, but if it l

ands on heads 11 or more times or 9 or less times, you lose $1. Should you take the bet? In other words, find the expected value of the bet and if it is positive you should take it.
Mathematics
1 answer:
Rudiy273 years ago
3 0

E[y]=∑yp(y)=4(0.176)+(−1)(0.824)  =−.12  dollar, so In one play the player is expected to lose 12% of a dollar.

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What is the slope between (-4,4) and (-6,6)
nalin [4]

\textsf{Let's calculate the slope of the line passing thought the points (-4, 4) and (-6, 6) } \\ \textsf{using the following formula: }\mathsf{m = \frac{\Delta y}{\Delta x}} \textsf{ where m is the slope of the line.}\textsf{So:}

\mathsf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{4 - 6}{-4 - (-6)} = \dfrac{-2}{2} = -1}

\textsf{Hence the slope is -1.}

5 0
4 years ago
4th grade math help & explain please
ohaa [14]

Nothing on the rectangle is shaded, unless the camera quality is poor.

0/12

7 0
3 years ago
Find 7512−(−334) . Write your answer as a mixed number in simplest form.
Savatey [412]

Answer:

7846

Step-by-step explanation:

two 'minus' signs cancel each other out and become an 'plus' sign

therefore

7512-(-334) = 7512 + 334

= 7846

I don't know why you wrote ' write your answer as a 'mixed number ' in 'simplest form'. A mixed number can only be formed when you have a fraction, an improper fraction no less, the answer is a whole number, and therefore cannot be written as a mixed number in simplest form. If I am wrong pls let me know and elaborate by what you mean by 'mixed number' in the comments.

I believe it may be a trick question, but who knows.

Examples of fractions expressed as a mixed number.

19/8 = 2 3/8

17/5 = 3 2/5

7 0
2 years ago
Find the slope intercept form of slope-2 which passes through (-5,1)
dusya [7]

Answer:

y=2x+11

Step-by-step explanation:

So we know that the slope is 2 and the lines passes through the point (-5,1).

We can use the point-slope form. The point-slope form is:

y-y_1=m(x-x_1)

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute 2 for m and (-5,1) for (x₁, y₁), respectively. Therefore:

y-(1)=2(x-(-5))

Simplify:

y-1=2(x+5)

Distribute the 2:

y-1=2x+10

Add 1 to both sides:

y=2x+11

So, the equation of our line is:

y=2x+11

6 0
3 years ago
The following table lists the masses, in grams, of the nine planets (including dwarf planet Pluto). Use the data to choose the c
Marrrta [24]

The ratio between the masses of Jupiter and Venus is

\dfrac{1.989\cdot 10^{30}}{4.869\cdot 10^{27}}

We can separate the coefficient and the powers of ten:

\dfrac{1.989\cdot 10^{30}}{4.869\cdot 10^{27}}=\dfrac{1.989}{4.869}\cdot \dfrac{10^{30}}{10^{27}}

Use the exponent rule

\dfrac{a^b}{a^c}=a^{b-c}

to simplify the powers of 10:

\dfrac{10^{30}}{10^{27}}=10^3

So, the ratio is

\dfrac{1.989}{4.869}\cdot 10^3\approx 0.4\cdot 10^3=400

So, Jupiter has a mass that is approximately 400 times greater than Venus's.

4 0
3 years ago
Read 2 more answers
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