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3 years ago

What is the first step in finding the area of a composite figure?complete the description.

Mathematics

2 answers:

son4ous [18]3 years ago

4 0

Answer:

what is the compostie fig.??

Step-by-step explanation:

Jet001 [13]3 years ago

3 0

Answer:

To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.

Step-by-step explanation:

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Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle mai

Nina [5.8K]

Answer: 1692

Step-by-step explanation:

Formula to find the sample size :

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

Given : Confidence level : $(1-\alpha)=0.90$

⇒ significance level = $\alpha= 0.10$

z-value for 90% confidence interval (using z-table)= $z_{\alpha/2}=1.645$

Prior estimate of the population proportion (p) of customers who keep up with regular vehicle maintenance is unknown.

Let we take p= 0.5

Margin of error : E= 2%=0.02

Now, the required sample size will be :

$n=0.5(1-0.5)(\dfrac{1.645}{0.02})^2$

Simplify , we get

$n=(0.25)(6765.0625)=1691.265625\approx1692$

Hence, the required sample size = 1692

8 0

3 years ago

Read 2 more answers

A taxi driver had 27 fares to and from the airport last Monday. The price for a ride to the airport is $14, and the price for a

OLga [1]

Answer:

(15, 12)

Step-by-step explanation:

Let's generate two systems of equations that fit this scenario.

Number of trips to the airport = x

Number of trips from the airport = y

Total number of trips to and from the airport = 27

Thus:

$x + y = 27$ => equation 1.

Total price for trips to the Airport = 14*x = 14x

Total price of trips from the airport = 7*y = 7y

Total collected for the day = $294

Thus:

$14x + 7y = 294$ => equation 2.

Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.

7 × $x + y = 27$

1 × $14x + 7y = 294$

Thus:

$7x + 7y = 189$ => equation 3

$14x + 7y = 294$ => equation 4

Subtract equation 4 from equation 3

-7x = -105

Divide both sides by -7

x = 15

Substitute x = 15 in equation 1

$x + y = 27$

$15 + y = 27$

Subtract both sides by 15

$y = 27 - 15$

$y = 12$

The ordered pair would be (15, 12)

7 0

2 years ago

Tess plants flowers every year, and she noticed that her flowers tend to bloom earlier when the spring weather is warmer. She co

OlgaM077 [116]

Answer:

=17

Step-by-step explanation:

We need the slope and the y-intercept to find the equation of the linear model.

This line goes through (0,28) and (1,26), so the slope is

\frac{26 - 28}{1} = -2

26−28

=−2

The equation that best describes this model is

\widehat{y} = -2x + 28

=−2x+28

Plug in x = 5.5 in the above equation to get

\widehat{y}

=−2x+28

=(−2)(5.5)+28

=−11+28

=17

Based on this equation, the date in April her flowers will bloom if the average temperature in March is

5 0

2 years ago

Read 2 more answers

Please Elijah and Aubrey have summer jobs Elijah deposits the same amount of money in his account every week the equation is y =

Anika [276]

Answer:

Part a) $y=125x+23$

Part b) The graph of the equation for Aubrey's balance is parallel to the graph of Elijah's balance

Part c) Parallel graphs mean that their slopes are the same and that they deposited the same amount of $125 per week into their account balance during the summer.

Step-by-step explanation:

The correct question is

Elijah and Aubrey have summer jobs. Elijah deposits the same

amount of money in his account every week. The equation y = 125x + 72 represents his bank balance any given week of the summer. Aubrey also deposits the same amount into her account every week. At the end of the third week she has $398. At the end of the sixth week she has $773.

a. Write an equation to represent Aubrey's bank balance any given week of the summer.

b. Would the graph of the equation for Aubrey's balance be parallel to the graph of Elijah's balance? Explain.

c. What do the parallel graphs mean in terms of the situation?

Part a)

Let

x ----> the number of weeks

y ----> represent bank's balance

we know that

Elijah

$y=125x+72$ -----> equation A

Aubrey

we have the points

(3,398) and (6,773)

Find the slope m

$m=(773-398)/(6-3)$

$m=375/3$

$m=125$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=125$

$point\ (3,398)$

substitute

$y-398=125(x-3)$ ----> equation in point slope form

Convert to slope intercept form

$y=mx+b$

$y-398=125x-375$

$y=125x-375+398$

$y=125x+23$ ----> Aubrey's bank balance

Part b)

Compare the equations

$y=125x+72$ ----> Elija's bank balance

$y=125x+23$ ----> Aubrey's bank balance

Remember that

If two lines are parallel, then their slopes are equal

In this problem the slopes are equal

$m=125\frac{\$}{week}$

therefore

The graph of the equation for Aubrey's balance is parallel to the graph of Elijah's balance

Part c) Parallel graphs mean that their slopes are the same and that they deposited the same amount of $125 per week into their account balance during the summer.

5 0

2 years ago

PWEASE HELP ASAP my friends and I cant figure this out I'm hoping one of u guys can

Degger [83]

The number of viruses was 4000 times greater than number of protozoa.

Step-by-step explanation:

Given,

Number of protozoa = $5*10^5$