All categories

2 years ago

Find the perimeter or circumference and area of each figure if each unit on the graph measures

Mathematics

2 answers:

djverab [1.8K]2 years ago

8 0

Answer:

Step-by-step explanation:

It's 20 because you round

lesya692 [45]2 years ago

5 0

Answer:

Below

Step-by-step explanation:

First we can find the length of the two sides that are NOT the hypotenuse :

Counting side AC we can see that AC = 8cm

Counting side BA we can see that BA = 4cm

Now to find the angular side aka the hypotenuse we have to use Pythagorean theorem :

a^2 + b^2 = c^2

Plugging in our values :

(8)^2 + (4)^2 = c^2

64 + 16 = c^2

80 = c^2

Now we have to square this number to get the value of c

√ 80 = c

8.9 = c

Adding all the values up to get the perimeter :

8.9 + 8 + 4 = 20.9 cm

Hope this helps! Best of luck <3

You might be interested in

Mariana's swimming pool holds 22,000 gallons of water. If there are approximately 7.5 gallons per cubic foot, what size swimming

Nuetrik [128]

Do 22000/7.5
2933.33333 cubic feet

6 0

3 years ago

According to Thomson Financial, last year the majority of companies reporting profits had beaten estimates. A sample of 162 comp

vova2212 [387]

Answer:

0.1790

0.0738 , 0.5800, 0.7040

354

Step-by-step explanation:

a. Given:

n = 162

x = 29

c = 95%

The point estimate of the population proportion is the sample proportion. The sample proportion is the number of successes divided by the sample size:

p = x/n

= 29/162

= 0.1790

b. Given:

n=162

x = 110

c = 95%

The point estimate of the population proportion is the sample proportion. The sample proportion is the number of successes divided by the sample size:

p = x/n

=110/162

=0.6790

For confidence level 1 – $\alpha$ = 0.95, determine z_ $\alpha$ /2 = z_0.025 using table 1 (look up 0.025 in the table, the z-score is then the found z-score with opposite sign):

z_ $\alpha$ /2 = 1.96

The margin of error is then:

E = z_ $\alpha$ /2*√p(1-p)/n =1.96* √0.6790(1-0.6790)/162 =0.0738

The boundaries of the confidence interval are then:

p-z_ $\alpha$ /2*√p(1-p)/n = 0.6790-1.645√ 0.6790(1- 0.6790)/162 = 0.5800

p+z_ $\alpha$ /2*√p(1-p)/n = 0.6790+1.645√ 0.6790(1- 0.6790)/162 = 0.7040

c. Given:

n = 162

x = 110

c = 95%

The point estimate of the population proportion is the sample proportion. The sample proportion is the number of successes divided by the sample size:

p =x/n

=0.6790

Formula sample size:

p known: n = [z_ $\alpha$ /2 ]^2*pq/E^2

= [z_ $\alpha$ /2 ]^2*p(1-p)/E^2

n = [z_ $\alpha$ /2 ]^2*0.25/E^2

For confidence level 1 – $\alpha$ = 0.95, determine z_ $\alpha$ /2 = z_o.025 using table 1 (look up 0.025 in the table, the z-score is then the found z-score with opposite sign):

z_ $\alpha$ /2 = 1.96

p is known, then the sample size is (round up!):

n =[z_ $\alpha$ /2 ]^2*p(1-p)/E^2

= 354

8 0

2 years ago

A health statistics agency in a certain country tracks the number of adults who have health insurance. Suppose according to the

Nana76 [90]

Answer:

a) There is a 15.3% probability that a randomly selected person in this country is 65 or older.

b) Given that a person in this country is uninsured, there is a 2.2% probability that the person is 65 or older.

Step-by-step explanation:

We have these following percentages:

5.3% of those under the age of 18, 12.6% of those ages 18–64, and 1.3% of those 65 and older do not have health insurance.

22.6% of people in the county are under age 18, and 62.1% are ages 18–64.

(a) What is the probability that a randomly selected person in this country is 65 or older?

22.6% are under 18

62.10% are 18-64

The rest are above 65

100% - (22.6% + 62.10%) = 15.3%

There is a 15.3% probability that a randomly selected person in this country is 65 or older.

b) Given that a person in this country is uninsured, what is the probability that the person is 65 or older?

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

So, what is the probability that a person is 65 and older, given that the person is uninsured.

P(B) is the probability that a person is 65 and older. From a), we have that $P(B) = 0.153$