All categories

2 years ago

This question confuses me any help

Mathematics

1 answer:

topjm [15]2 years ago

3 0

Answer:

Step-by-step explanation:

Let's solve!

⇒ Take the radius of the lawn to be 'r'

===========================================================

Then, area of the path equals :

⇒ Area of (lawn + path) - Area of lawn

⇒ π (r + 2)² - πr² = 30π

⇒ πr² - πr² + 4πr + 4π = 30π

⇒ 4πr = 26π

⇒ r = 6.5 m

===========================================================

Area of the lawn :

⇒ Area = πr²

⇒ Area = π × (6.5)²

⇒ Area = <u>42.25π m²</u>

You might be interested in

Which is the area of triangle LMN? Group of answer choices 24 square units 27 square units 54 square units 48 square units

irina [24]

Answer:

√65/2 square units

Step-by-step explanation:

Find the diagram attached

Area of the triangle = 1/2 * base * height

To get the base and height, we will use the distance formula;

Area of the triangle LMN = 1/2 * LM * MN

For MN

Given the coordinate M(3, 2) and N(1, 3)

MN = √(3-2)²+(1-3)²

MN = √1²+(-2)²

MN = √1+4

MN = √5

For LM;

Given the coordinate L(1, -1) and M(3, 2)

LM = √(2-(-1))²+(3-1)²

LM = √(2+1)²+(2)²

LM = √3²+(2)²

LM = √9+4

LM = √13

Area of the triangle LMN = 1/2 * √13 * √5

Area of the triangle LMN = √65/2 square units

4 0

3 years ago

According to the U.S. Census Bureau, 42% of men who worked at home were college graduates. In a sample of 480 women who worked a

Likurg_2 [28]

Answer:

1) $0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315$

The point estimate for the proportion of college graduates among women who work at home is 0.327

2) $0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315$

$0.327 + 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.339$

The 80% confidence interval is given by (0.315; 0.339)

Step-by-step explanation:

For this case we have the following info given:

$X = 157$ represent the women who worked at home who were college graduates

$n = 480$ the sample size selected

Part 1

In order to find the proportion of college graduates among women who work at home and we can use the following formula:

$\hat p=\frac{X}{n} = \frac{157}{480}= 0.327$

The point estimate for the proportion of college graduates among women who work at home is 0.327

Part 2

Construct an 80% confidence interval for the proportion of women who work at home who are college graduates. Round the answer to three decimal places. An 80% confidence interval for the proportion of women who work at home Is < p <

The confidence interval for the true proportion would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 80% confidence interval the value for the significance is $\alpha=1-0.8=0.2$ and $\alpha/2=0.1$ , the critical value would be given by:

$z_{\alpha/2}=0.539$

And replacing we goot:

$0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315$

$0.327 + 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.339$

The 80% confidence interval is given by (0.315; 0.339)

6 0

3 years ago

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t

ehidna [41]

Answer:

The probability that more than a third of the buyers would prefer brown is 0.8491.

Step-by-step explanation:

This is binomial problem with n=15 and p=0.50.

The binomial formula of probaility is:

P(X=x)= $\frac{n!}{x!(n-x)!} p^{x} (1-p)^{n-x}$

More than a third of the buyers: 15÷3=5

We have to find P(x>5).

P(x>5) = 1 - P(x≤5) = 1 - P(x=0) - P(x=1) - P(x=2) - P(x=3) - P(x=4) - P(x=5)

P(x=0)= $\frac{15!}{0!15!} (0.5)^{0} (1-0.5)^{15}$ =0.00003

P(x=1)= $\frac{15!}{1!14!} (0.5)^{1} (1-0.5)^{14}$ =0.00046

P(x=2)= $\frac{15!}{2!13!} (0.5)^{2} (1-0.5)^{13}$ =0.00320

P(x=3)= $\frac{15!}{3!12!} (0.5)^{3} (1-0.5)^{12}$ =0.01389

P(x=4)= $\frac{15!}{4!11!} (0.5)^{4} (1-0.5)^{11}$ =0.04165

P(x=5)= $\frac{15!}{5!10!} (0.5)^{5} (1-0.5)^{10}$ =0.09164

P(x>5) = 1 - P(x≤5)= 1- 0.00003 - 0.00046 - 0.00320 - 0.01389 - 0.04165 - 0.09164 = 0.8491

4 0

3 years ago

Match each graph below with the correct solution or correct number of solutions to the system of equations. (0,-5) (-1,2) no rea

garik1379 [7]

1. infinitely many solutions

2. (-1,2)

3. No real solutions

<h3><u>Please mark brainly if I'm correct.</u></h3>

3 0

3 years ago

What is the volume of this object?<br> V = <br> ?ft3

puteri [66]

It is twenty-one feet cubed

5 0

3 years ago

This question confuses me any help​

This question confuses me any help