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2 years ago

A fair coin is tossed 5 times in a row. The exact probability of the coin landing heads exactly 2 times is?

Mathematics

2 answers:

makkiz [27]2 years ago

8 0

We can do this using the binomial probability distribution:

5C2 * (1/2)^2 * (1/2)^3 = 10 * 1/32

= 5/16

SpyIntel [72]2 years ago

8 0

The coin has to sides, so there are 2 possible choices given each of the 5 times. 2(5)=10. then, you divide 2 by that number (2/10), which is equal to 1/5

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The graph shows the average shoe size for a baby or toddler as a function of age in months. What shoe size would be recommended

mojhsa [17]

Answer: The shoe size would be recommended for a four-month-old baby is equal to 1

Step-by-step explanation:

Since, according to the given figure,

Here, x represents age of baby (in month) while y represents shoe size.

And for babies , $0$ the shoe size = 0

$3$ the shoe size = 1

$6$ the shoe size = 2

$9$ the shoe size = 3

$12$ the shoe size = 4

thus, from the above we can say that, the shoe size of the baby who is 4 month old is 1.

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2 years ago

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A grocery store sells an 18 ounce container of peanut butter for $3.28. What is the cost per ounce (unit price)?

AnnyKZ [126]

Here,
cost of 18 ounce container of peanut butter = $3.28
cost of 1 ounce container of peanut butter = $3.28/18
=$0.182

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2 years ago

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Thrice of product of five and b is reduced by 2

Diano4ka-milaya [45]

3 times the product of 5 and b is reduced by 2
3*(5*b)-2
15b-2

5 0

2 years ago

How long will it take before twenty percent of our 1,000-gram sample of uranium-235 has decayed? [See Section 6.6 Example 13] Th

horsena [70]

Answer:

From what I can see of the problem, you CANNOT solve for the half-life of U 235 AND then solve for the length of time to determine the 20% decay.

U-235 half-life is 704,000,000 years. (Wikipedia)

The elapsed time formula = half-life * [log (Beginning Amount / ending amount) / log 2]

elapsed time = 7.04 x 10^8 * [log (100 % / 80%) / log 2]

elapsed time =7.04 x 10^8 * [log (1.25) / .30103]

elapsed time =7.04 x 10^8 * [0.096910 / .30103]

elapsed time = 7.04 x 10^8 * 0.321928047

elapsed time = 226,637,000 years

Step-by-step explanation:

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2 years ago

On a coordinate plane, a cube root function goes through (negative 2.5, negative 3.5), crosses the y-axis at (0, negative 3), ha

mart [117]

Answer:

$g(x) = \sqrt[3]{x-1} - 2$

Step-by-step explanation:

We want to find h and k in:

$g(x) = \sqrt[3]{x-h} + k$

At the inflection point, the second derivative is equal to zero, so:

$g'(x) = \frac{1}{3} (x-h)^{\frac{-2}{3}}$

$g''(x) = \frac{1}{3} \frac{-2}{3}(x-h)^{\frac{-5}{3}} = 0$

Then x - h = 0.

Inflection point is located at (1, -2), replacing this x value we get:

1 - h = 0

h = 1

We know that the point (-2.5, -3.5) belongs to the function, so:

$-3.5 = \sqrt[3]{-2.5-1} + k$

k ≈ -2

All data, used or not, are shown in the picture attached.

4 0

2 years ago