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

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