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2 years ago

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a dragonfly can beat its wings 30 times per seconed.write an equation in slope intercept from that shows the relationship betwee

n flying time in secons and the number of times the dragonfly beats its wings

1 answer:

Andreas93 [3]2 years ago

4 0

Answer:

$s=30f$

Step-by-step explanation:

S = second; F = flying time.

Since it can flap its wings 30 times, each second, we have already found our answer. The relationship between flying time (Wing flaps) and seconds is 30. In other words, it beats it's wings 30 times each second. Which is what the question asks.

Now we just have to write the equation:

$s=30f$

This is because the seconds are <u>dependent</u> on the flap of wings, so s would be the y value.

Hope it Helps!

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Answer:

1) Isosceles

2) Scalene

3) Scalene

Step-by-step explanation:

The 1st choice is isosceles because 2 side lengths are equal.

The 2nd and 3rd choice are scalene because none of the sides equal the other sides.

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2 years ago

Is 16/25 bigger than 65

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No because 16 divided by 25 will be a decimal and would not be bigger than 65

Step-by-step explanation:

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3 years ago

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In my wallet I have six notes in total, four are $50 notes and the rest are $20 notes. Write the ratio of $50 notes to $20 notes

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2 years ago

Use this information for Items 5–7. There is a 60% probability of rain each of the next 5 days. Find each probability. Round to

ra1l [238]

Answer:

0.6808 = 68.08% probability that it will rain on at least 3 of the next 5 days.

0.9898 = 98.98% probability it will rain on at least 1 of the next 5 days.

0.84 = 84% probability it will rain on at least 1 of the next 2 days.

Step-by-step explanation:

For each day, there are only two possible outcomes. Either it rains, or it does not. The probability of raining on a day is independent of any other day. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

There is a 60% probability of rain each of the next 5 days.

This means that $p = 0.6, n = 5$

Probability it will rain on at least 3 of the next 5 days:

This is:

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.6)^{0}.(0.4)^{5} = 0.0102$

$P(X = 1) = C_{5,1}.(0.6)^{1}.(0.4)^{4} = 0.0768$

$P(X = 2) = C_{5,2}.(0.6)^{2}.(0.4)^{3} = 0.2304$

So

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0120 + 0.0768 + 0.2304 = 0.3192$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.3192 = 0.6808$

0.6808 = 68.08% probability that it will rain on at least 3 of the next 5 days.

Probability it will rain on at least 1 of the next 5 days:

This is:

$P(X \geq 1) = 1 - P(X = 0)$

From the above item, we have that $P(X = 0) = 0.0102$ . So

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0102 = 0.9898$

0.9898 = 98.98% probability it will rain on at least 1 of the next 5 days.

Probability it will rain on at least 1 of the next 2 days:

Two days means that $n = 2$ .

The probability is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.6)^{0}.(0.4)^{2} = 0.16$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.16 = 0.84$

0.84 = 84% probability it will rain on at least 1 of the next 2 days.

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2 years ago

Rules for multiplying exponents

nalin [4]

Answer and Step-by-step explanation:

<u>When multiplying exponents:</u>

- Product of Powers: When the base of the exponents are the same, and the bases are being multiplied to each other, the exponents are added together.

Example: $a^x + a^y = a^{x+y}$

- Different bases Same Exponents: When the bases of the exponents are different, but the exponents are the same, the bases multiply together (within a parenthesis) with the exponent on the parenthesis.

Example: $a^x*b^x = (a*b)^x$

- Quotient of Powers: When the base of the exponents are the same, and they are being divided by each other, the exponents will subtract from each other.

Example: $\frac{a^x}{a^y}= a^{x-y}$

- Power of a Power: When a base has an exponent, and that entire term has and exponent, the exponents multiply together.

Example: $(a^x)^y = a^{x*y}$

- Power of a Product: The opposite of <em>Different bases Same Exponents.</em> Distribute the exponent onto the different bases.

Example: $(ab)^x = a^x*b^x$

- Power of a Quotient: The opposite of <em>Quotient of Powers.</em> Distribute the exponent to the dividing bases.

Example: $(\frac{a}{b} )^x = \frac{a^x}{b^x}$

- Zero Power: Any number raised to the 0 power equals 1.

Example: $a^0 = 1\\999999^0=1$

- Negative Exponent: Any number raised by a negative number goes to the denominator of a fraction (if not already in the denominator), and vise versa (goes to the numerator if not already in the numerator).

Example: $a^-2 = \frac{1}{a^2} \\\\\frac{1}{b^-3} = b^3$

- Power of One: Any number raised to the power of 1 is the same number.

Example: $a^1 = a\\\\999^1 = 999$

<em><u>I hope this helps!</u></em>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

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2 years ago