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3 years ago

The sample space, s, for flipping a a coin three times is shown below. What is the probability of obtaining heads at least once?

Mathematics

1 answer:

babunello [35]3 years ago

3 0

What is the sample space do you have a picture?

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Why is it important to develop and maintain a balance budget

kap26 [50]

Answer:

Maintaining a balanced budget ensures monthly obligations are met, with room for savings.With stable cash flow,monthly surpluses can be reserved in an emergency,xontingency fund, standing ready to bail you out of times of financial distress

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3 years ago

Can you explain how to solve this

Wewaii [24]

I believe it’s 180 or something to do with that

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2 years ago

Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1 = x2 + 2x + 3 y2 = 2x + 12F

Svet_ta [14]

Answer:

$A = \int\limits^3__-3}{9}-{x^{2}} \, dx = 36$

Step-by-step explanation:

The equations are:

$y = x^{2} + 2x + 3$

$y = 2x + 12$

The two graphs intersect when:

$x^{2} + 2x + 3 = 2x + 12$

$x^{2} = 0$

$x_{1} = 3\\x_{2} = -3$

To find the area under the curve for the first equation:

$A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

To find the area under the curve for the second equation:

$A_{2} = \int\limits^3__-3}{2x + 12} \, dx$

To find the total area:

$A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

Simplifying the equation:

$A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx$

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).

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3 years ago

How do I solve this problem?

snow_tiger [21]

Answer:a

Step-by-step explanation:

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2 years ago

What are the elements in this set? D={16,19,21} , E={16,18,19,20}

dimaraw [331]

D = {16, 19, 21}
E = {16, 18, 19, 20}
D ∩ E = {16, 19}

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3 years ago