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Alinara [238K]
3 years ago
15

A person drives north 6 blocks, then drives west 6 blocks. the displacement is a straight line from the starting point to the fi

nish in a _____ direction.
Mathematics
1 answer:
Ostrovityanka [42]3 years ago
8 0
A^2+B^2=C^2

6*6+6*6 = sqrt(72) so... 8.49 blocks in a Northwest Direction
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A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true
kvv77 [185]

Answer:

99.74% probability that the sample proportion will be less than 0.1

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

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 = 276, p = 0.06

So

\mu = E(X) = np = 276*0.06 = 16.56

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{276*0.06*0.94} = 3.9454

What is the probability that the sample proportion will be less than 0.1

This is the pvalue of Z when X = 0.1*276 = 27.6. So

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

Z = \frac{27.6 - 16.56}{3.9454}

Z = 2.8

Z = 2.8 has a pvalue of 0.9974

99.74% probability that the sample proportion will be less than 0.1

5 0
3 years ago
In parallelogram ABCD, what is BDC?
zavuch27 [327]

Answer:

25

Step-by-step explanation:

<ABD=<BDC

Check it out

5 0
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URGENT!! Need help can someone explain please!!!
forsale [732]

Answer:

The answer to your question is 1 = 69°

Step-by-step explanation:

To solve this problem remember that the sum of the internal angles in a triangle equals 180°.

Let the third angle of the triangle be x.

             39° + 30° + x = 180

Solve for x

             x = 180 - 39 - 30

             x = 111°

Angle x and angle 1 are supplementary so their sum equals 180°.

            111° + 1 = 180

                      1 = 180 - 111

                       1 = 69°      

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14girls to 35boys how does this go into a fraction
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Answer:

14/35

Step-by-step explanation:

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