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3 years ago

Solve for 2. Round to the nearest tenth, if necessary.

Mathematics

1 answer:

Zepler [3.9K]3 years ago

4 0

Answer:

x = 46.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 54 = x / 58

58 sin 54 =x

x=46.92298

To the nearest tenth

x = 46.9

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You have a biased coin for which p(h)=pp(h)=p. you toss the coin 2020 times. what is the probability that you observe 88 heads a

Nat2105 [25]

The question describes a binomial probability with p(h) = p, then p(t) = 1 - p and number of trials (n) = 20

The probability of a binomial distribution is given by

$P(x)=\, ^nC_xp^x(1-p)^{n-x}$

Part A:

The probability of observing 8 heads and 12 tails is given by:

$P(8)=\, ^{20}C_8p^8(1-p)^{20-8}=\, ^{20}C_8p^8(1-p)^{12}$

Part B:

You observe more than 8 heads and more than 8 tails, when you observe 9 heads and 11 tails, 10 heads and 10 tails, and 11 heads and 9 tails.

Therefore, the probability of observing more than 8 heads and more than 8 tails is given by:

$P(9)+P(10)+P(11) \\ \\ =\, ^{20}C_9p^9(1-p)^{20-9}+\, ^{20}C_{10}p^{10}(1-p)^{20-10}+\, ^{20}C_{11}p^{11}(1-p)^{20-11} \\ \\ =\, ^{20}C_9p^9(1-p)^{11}+\, ^{20}C_{10}p^{10}(1-p)^{10}+\, ^{20}C_{11}p^{11}(1-p)^{9}$

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3 years ago

(3.2 * 10000000) -3

andreev551 [17]

The exponents distribute over factors:

$(ab)^c = a^c \times b^c$

so, you have

$(3.2 \times 10^6)^{-3} = 3.2^{-3} \times (10^6)^{-3}$

Let's focus on each factor: applying the definition of negative exponents, you have

$3.2^{-3} = \cfrac{1}{3.2^3} \approx 0.03$

While for the power of 10, you can use the following rule

$(a^b)^c = a^{bc}$ to write

$(10^6)^{-3} = 10^{6\cdot (-3)} = 10^{-18}$

So, the expression evaluates to

$0.03\times 10^{-18} = 3\times 10^{-20}$

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4 years ago

5. mr. and mrs. pinkerton have four boys. every time people notice this they comments to

Mars2501 [29]

The simulation that can best represent the chances of the Pinkertons having a boy or a girl is Flipping a coin.

<h3>What best shows the chances of having either a boy or girl?</h3>

The question asks for the simulation that can represent the likelihood of having a boy or a girl.

Because there are two outcomes, they each have a 50% probability.

A good simulation to show this would therefore be flipping a coin because this has two outcomes as well which are heads or tails.

Find out more on using a coin for probability at brainly.com/question/1334780.

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2 years ago

2. Find the area of the regular polygon.

frozen [14]

Answer:

a. 80 units

b. 482.843 units²

Step-by-step explanation:

First things first, we need to solve for the side of the octagon. We can do so by using Pythagorean Theorem: a² + b² = c² where c is the hypotenuse and a and b are the other two sides.

12² + b² = 13²

144 + b² = 169

b² = 25

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Now that we know half of the side of the octagon is 5, we know that one side of the octagon is 10.

a. To find perimeter we just add every side together (or since every side is the same size, we multiply by 8)

10 × 8 = 80

b. The formula for finding the area of an octagon is 2(1 + radical 2)a² where a is the length of a side. By plugging in to a calculator we get:

2(1 + radical 2)(10)² = 482.843

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3 years ago

How do you recognize a linear equation

weqwewe [10]

We look at the exponents. If the highest exponent on a single variable is one, then the equation is a linear equation.

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4 years ago

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