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REY [17]
3 years ago
12

A regular hexagon has sides of 3 feet. What is the area of the hexagon?

Mathematics
1 answer:
Dominik [7]3 years ago
7 0

Answer:

13.5√(3) ft^2

Step-by-step explanation:

In this, question, we are to calculate the area of the hexagon

Mathematically, we can calculate the area of a hexagon using the formula;

A = {3√(3)/2}a^2

where a is the length of the side which is 3 feet

substituting the value of 3 into the formula, we have;

A = 3√3/2 * 3^2 = 27 √(3)/2 = 13.5√(3) ft^2

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The table gives the relative frequencies of recipes that contains sugar and salt, contain at least one of those ingredients, or
tigry1 [53]

<u>Answer-</u>

<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>

<u>Solution-</u>

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}


P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67

Putting these values,

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%

5 0
3 years ago
mb- The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (2,100) and
Evgesh-ka [11]

Answer:

1200

Step-by-step explanation:

We can gather from what's given that y=20xy represents the total number of bottles produced in the given time in seconds, which is x. When x=1, y=20, This means that each second the machine can make 20 soda bottles. Each minute is 60 seconds, so when x=60, y=20*60 =1200 soda bottles.

5 0
3 years ago
Find a function for the graph below
Zinaida [17]

Answer:

d

Step-by-step explanation:

gfstikuhbbcwdjonngbb1519360

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3 years ago
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A major airline company is concerned that its proportion of late arrivals has substantially increased in the past month. Histori
lutik1710 [3]

Answer:

The correct statement is  

The  null hypothesis is  H_o  :  p =  0.18

The alternative hypothesis is  H_a :  p >  0.18

Step-by-step explanation:

From the question we are told that

    The population proportion is  p  =  0.18  

    The  sample size is  n  =  1240 airplane

     The  number of airplane is  k  =  310

 

Generally the sample proportion is  

      \^ p = \frac{k}{n}

=>   \^ p = \frac{310}{1240}

=>   \^ p =0.25

The  null hypothesis is  H_o  :  p =  0.18

The alternative hypothesis is  H_a :  p >  0.18

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Does this graph represent a function? Why or why not?
skelet666 [1.2K]
B it is not because it fails the vertical line test
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3 years ago
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