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DaniilM [7]
3 years ago
6

Suppose you can climb to the top of the pyramid arena in Memphis Tennessee which path would be shorter climbing a lateral Edge o

r the slant height justify your response
Mathematics
1 answer:
Andrews [41]3 years ago
4 0

Answer:

Slant height

Step-by-step explanation:

We need to 'climb to the top of the pyramid'.

Now, it is known that,

Lateral edge is the intersection of two lateral faces i.e. the line where two faces connect.

Slant height is the distance from the top point to the midpoint of one side of the base.

In general, a slant height is in the middle of two lateral edges.

Thus, the shortest path would be after climbing the slant height.

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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
Kami has 7 liters of water to fill water bottles that each hold 2.8 liters. How many bottles can she fill?
Pani-rosa [81]
Kami can fill 2.5 bottles.
6 0
3 years ago
Read 2 more answers
A new vaccine claims to reduce the risk of contracting chickenpox from 80% to 20%. Which of the following statements is true reg
dlinn [17]

Answer:

  • The vaccine decreases the risk of contracting chickenpox by 75 percentage

Step-by-step explanation:

Risk of contracting chickenpox is reduced from 80% to 20%.

<u>This reduction in percentage is:</u>

  • (80 - 20)/80*100% = 75%

<u>Correct choice is:</u>

  • The vaccine decreases the risk of contracting chickenpox by 75 percentage
6 0
3 years ago
The ratio of three angles of a triangle is 1:2:3. Find the measurement of the angles
Snezhnost [94]

Answer:

all the angles add up to 180 degrees

So 180÷6=30

(i got 6 cuz 1+2+3)

so 1=30

2=30*2=60

3=30*3=90

     

8 0
3 years ago
The long jump record, in feet, at a particular school can be modeled by f(x) = 19.6 + 2.5ln(x + 1) where x is the number of year
Sedbober [7]

Answer:

25.8

Step-by-step explanation:

6 0
3 years ago
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