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Grace [21]
3 years ago
11

Please help and I will give brainliest ( no trolling )

Mathematics
1 answer:
Shtirlitz [24]3 years ago
3 0

Answer:

B) restaurant to the skating rink

C) (3,2)

Step-by-step explanation:

B) restaurant to the skating rink

C) (3,2)

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What is the answer to this division equation?
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Answer:

The answer is B; 5 r. 3

Step-by-step explanation:

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Write the equation of the line given the point (3,7) and m=5/3
adoni [48]

Answer:

y= \frac{5}{3}x+2

<h2><u><em>PLEASE MARK BRAINLIEST</em></u></h2>

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2 years ago
Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can repre
swat32

Equal expressions can be taken equal to an another variable. The system of equations representing the equation is  y = x + 3\\y = 4x + 8

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

Some properties of logarithm are:

log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1\\\\ log_a(b) + log_b(c) = log_a(c)

Log with base e = 2.71828... is written as \ln(x) simply.

Log with base 10 is written as \log(x) simply.

The given equation is:

\log_4(x+3) = \log_2(2 +x)

Adding \log_2(4) on both the sides, we get:

\log_2(4) + \log_4(x+3) =\log_2(4) +  \log_2(2 +x) \\\\log_2(x + 3) = log_2(4(2+x))\text{\: \: \: (using first and  last property listed)}\\\\x+3 = 8+4x = y(say)

The, we get two equations as:

y = x + 3\\y = 4x + 8

This is the needed system of equations.

Learn more about logarithms here:

brainly.com/question/20835449

6 0
2 years ago
a submersible traveling at a depth of 250 feet dives at an angle of 15 degrees with respect to a line parallel to the water's su
Serga [27]
The ratio of depth to horizontal distance is the tangent of the angle of depression.

250 +tan(15°)*1500 = 651.9 . . . . . feet
8 0
2 years ago
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One strange phenomenon that sometimes occurs at U.S. airport security gates is that an otherwise law-abiding passenger is caught
valentinak56 [21]

Answer:

c. 0.16

Step-by-step explanation:

For each passenger there are only two possible outcomes. Either they are caught with a gun, or they are not. The probability of a passenger being caught with a gun is independent from other passengers. So we use the binomial probability distribution to solve this question.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 3000000, p = 0.00001

So

\mu = E(X) = np = 3000000*0.00001 = 30

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{3000000*0.00001*(1-0.00001)} = 5.48

What is the probability that tomorrow more than 35 domestic passengers will accidentally get caught with a gun at the airport?

This probability is 1 subtracted by the pvalue of Z when X = 35. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{35 - 30}{5.48}

Z = 0.91

Z = 0.91 has a pvalue of 0.8186

1 - 0.8186 = 0.1814.

The closest answer is:

c. 0.16

8 0
3 years ago
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