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Natalka [10]
3 years ago
13

Devin and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. One trip will be

Mathematics
1 answer:
bonufazy [111]3 years ago
4 0

Answer:210

Step-by-step explanation:

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A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the mi
Alchen [17]
        It also means that a rhombus is formed from 2 identical equilateral triangles ( 2 identical 30 - 60 - 90 triangles forms one equilateral ) and a side of that triangle measures : 30 feet. 
      Answer:
      The perimeter of the garden :  4 * 30 = 120 feet
4 0
3 years ago
Read 2 more answers
What is a segment, ray, line, or plane that intersects a segment at its midpoint
Maru [420]
Point- an exact loction in space with indefinite shape and size.
line- an object with no thickness that extends infinitely in 2 directions.
line segment- a portion of a line consisting of 2 end points and all point in between.
ray- a portion of a line consisting of 1 end point and all point in between.
opposite ray- 2 ray sharing the same end point and continuing infinitely in 2 direction.
plane- a flat surface that extends infinitely in all direction.
collinear- point that lie on the same line.
non collinear- point that do not lie on the same plane.
5 0
3 years ago
Based on a sample of 100 employees a 95% confidence interval is calculated for the mean age of all employees at a large firm. Th
babymother [125]

Answer:

a

\= x  =  40.85

b

E = 5.85

Ca  

   t_c =  2.08

Cb

   t_c  =   1.282

Explanation:

From the question we are told that

     The sample size is n  =  100

     The upper limit of the 95% confidence interval is  b =  47.2 years

     The lower limit of the 95% confidence interval is   a =  34.5 years

Generally the sample mean is mathematically represented as

         \= x  =  \frac{a + b }{2}

=>    \= x = \frac{47.2 + 34.5 }{2}

=>    \= x  =  40.85

Generally the margin of error is mathematically represented as

         E =  \frac{b- a }{ 2}

=>      E =  \frac{47.2- 34.5 }{ 2}

=>      E = 5.85

Considering question C a  

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.10

The  sample size is  n =  22

Given that the sample size is not sufficient enough i.e n < 30 we will make use of the student t distribution table  

Generally the degree of freedom is mathematically represented as

           df =  n- 1

=>        df =  22 - 1

=>        df =  21

Generally from the student  t  distribution table the critical value  of  \frac{\alpha }{2} at a degree of freedom  of  21 is  

   t_c =t_{\frac{\alpha }{2} ,  21  } =  2.08

Considering question C b

From the question we are told the confidence level is  80% , hence the level of significance is    

      \alpha = (100 - 80 ) \%

=>   \alpha = 0.20

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   t_c  =Z_{\frac{\alpha }{2} } =  1.282

4 0
3 years ago
As an accountant, you have calculated income taxes for a customer for the last 3 years. During those three years, the customer m
lianna [129]

Answer:

The total amount customer paid during those 3 years  is $1685

Step-by-step explanation:

We are supposed to find the total amount customer paid during those 3 years

Customer made a tax payment = $1250

He received a refund of amount = 550

So, amount paid by him = 1250-550

Amount paid by him ==700

Now again He made a tax payment = $925

Processing fee = $60

So, Total Amount paid by him =700+925+60

Total Amount paid by him =1685

Hence the total amount customer paid during those 3 years  is $1685

7 0
3 years ago
8. In the figure, ADC is a straight line.
dlinn [17]

Answer:

a). ΔABC ~ ΔBDC

b). m(BD) = 6 units

Step-by-step explanation:

If ΔABC ~ ΔBDC,

a). Ratio of the corresponding sides of both the triangles will be equal.

\frac{AB}{BD}=\frac{BC}{DC}=\frac{AC}{BC}

\frac{BC}{DC}=\frac{AC}{BC}

\frac{12}{9}=\frac{7+9}{12}

\frac{4}{3}=\frac{4}{3}

Since Ratio of the corresponding sides are same, therefore, both the triangles are similar.

b). \frac{AB}{BD}=\frac{BC}{DC}

\frac{8}{BD}=\frac{12}{9}

BD = \frac{9\times 8}{12}

BD = 6

4 0
3 years ago
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