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mr_godi [17]
3 years ago
7

How far from the base of the house do you need to place a 15ft ladder so that it exactly reaches the top of a 12ft tall wall

Mathematics
1 answer:
Anettt [7]3 years ago
4 0

It's a right triangle problem, and pretty obviously a multiple of the only Pythagorean Triple most folks know, 3²+4²=5².  In this case we multiply the lengths by three getting

9²+12²=15²

If we place the 15 foot ladder 9 feet from the house it will hit the house at height 12 feet.

Answer: 9 feet


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Step-by-step explanation:

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What is the value of y for the line that has a slope of 1 and goes through the points (-4, y) and (-2, 8)?
Pavel [41]

Answer:

y = 6

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (-4,y) and (-2,8). Substitute m = 1 and solve for y.

m = \frac{y_2-y_1}{x_2-x_1}\\\\ 1 = \frac{y-8}{-4--2}\\\\ 1 =\frac{y-8}{-2}\\\\-2=y-8\\\\6=y

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3 years ago
Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. De
Gala2k [10]

Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable <em>X</em> represent the time a child spends waiting at for the bus as a school bus stop.

The random variable <em>X</em> is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is,\lambda=\frac{1}{\mu}=\frac{1}{7}.

The probability density function of <em>X</em> is:

f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0

Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:

P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx

                      =\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148

Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

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3 years ago
I feel like being nice, first two answers will get 50 points, the first one to answer gets the brainliest.. (You can put any ans
garik1379 [7]

Answer:

you are so so nice, to give away such big points...may God bless you and stay home and be safe :)

Step-by-step explanation:

1 x 1 is obviously 1

any number multiplied by one that answers that number is the same number.

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nexus9112 [7]

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Step-by-step explanation: hope it helps u

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