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hichkok12 [17]
3 years ago
12

Leo placed a ladder against the back of his store building to paint a sign. The top of the ladder was 9 feet above the ground an

d the bottom of the ladder was 3 feet from the base of the building. What is the length, to the nearest tenth of a foot, of the ladder?
Mathematics
2 answers:
Setler79 [48]3 years ago
6 0
You’ll want to draw a triangle if you imagine the ladder leaning against the building it forms a right triangle with height “a” being the distance from the ground to the window, and the hypotenuse “c” being the length of the ladder. We want to solve for base “b” and the distance between the foot of the ladder and the building
Recall the Pythagorean theory
a^2 + b^2 = c^2
IgorC [24]3 years ago
3 0
9.5 feet is the length of the ladder.
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Arlecino [84]

Answer:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146

P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389

And replacing we got:

P(X \geq 2) = 1-P(X

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=30, p=0.05)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Solution to the problem

For this case we want this probability:

P(X \geq 2)

And we can use the complement rule and we got:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146

P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389

And replacing we got:

P(X \geq 2) = 1-P(X

3 0
3 years ago
Evaluate. Write your answer as a whole number or as a simplified fraction.<br> 12-².4³ =<br> Submit
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12^{-2} \times 4^3\\\\=(4 \times 3)^{-2} \times 4^3\\\\=4^{-2} \times 4^3 \times 3^{-2}\\\\=4^{-2+3} \times 3^{-2}\\\\=4^1 \times \dfrac1{3^2}\\\\=\dfrac 49

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Evgesh-ka [11]
I would consider the number 2
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3 years ago
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iris [78.8K]

Answer:

177

Step-by-step explanation:

just answered this for someone else but the number of sit-ups is going up in 4s so just add four to 33 7 times since thats how many days she has left til 12th day

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