1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kipiarov [429]
3 years ago
7

In a city, 60% of the residents live in houses and 40% of the residents live in apartments. Of the people who live in houses, 20

% own their own business. Of the people who live in apartments, 10% own their own business. If a person owns his or her own business, find the probability that he or she lives in a house.
Mathematics
1 answer:
Step2247 [10]3 years ago
6 0
75%; so if we say there are 100 people in this city that means 60 of them live in houses and 40 of them live in apartments. Of the 60 living in houses 20% of them (12% of total population; 60 x .20) own their own business and those in apartments (40) 10% of them (4% of total pop.; 40 x .10) have their own business. In total 16 of the 100 people have businesses and 12 of those people live in houses so 12/16 equals .75. We multiply this by 100 to get the percent so there’s 75% that a person who owns a business in this city will also live in a house.
You might be interested in
USIU
topjm [15]

Answer:

Test Cross , 50% to 50%

Step-by-step explanation:

just took the test yw

8 0
3 years ago
Read 2 more answers
A rectangular prism is 4.1 feet long, 4.3 feet wide and 14 feet high. what is the volume of the rectangular prism
Marizza181 [45]

Answer:

246.82 cubic feet.

Step-by-step explanation:

The volume of a rectangular prism is length*width*height. Solving, 4.1*4.3*14=246.82 cubic feet.

8 0
3 years ago
Use the fundamental identities and appropriate algebraic operations to simplify the following expression. (18 +tan x) (18-tan x)
andrezito [222]

Answer:

a) \left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)=325

b) The lowest point of y=\cos \left(x\right), 0\leq x\leq 2\pi is when x = \pi

Step-by-step explanation:

a) To simplify the expression \left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right) you must:

Apply Difference of Two Squares Formula: \left(a+b\right)\left(a-b\right)=a^2-b^2

a=18,\:b=\tan \left(x\right)

\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)=18^2-\tan ^2\left(x\right)=324-\tan ^2\left(x\right)

324-\tan ^2\left(x\right)+\sec ^2\left(x\right)

Apply the Pythagorean Identity 1+\tan ^2\left(x\right)=\sec ^2\left(x\right)

From the Pythagorean Identity, we know that 1=-\tan ^2\left(x\right)+\sec ^2\left(x\right)

Therefore,

324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325

b) According with the below graph, the lowest point of y=\cos \left(x\right), 0\leq x\leq 2\pi is when x = \pi

3 0
3 years ago
Which expression is equivalent sqrt10/4sqrt8
N76 [4]

Answer:

The correct option is A

Step-by-step explanation:

The given expression is:

√10/4√8

We have to eliminate the √ from the denominator

4√8 = (2^3)^1/4

Multiply the whole expression by (2)^1/4

=(2)^1/4 * √10/ 2^(1/4)*(2^3)^(1/4)

= 2^(1/4) · 10^(2/4)  / 2^1/4+3/4

=2^(1/4) · 10^(2/4) / 2^1+3/4

=2^(1/4) · 10^(2/4) / 2^4/4

=2^(1/4) · 10^(2/4) /2

=2^(1/4) · 100^(1/4) /2

=200^1/4 /2

= 4√200 /2

Thus the correct option is A....

3 0
4 years ago
15 points- fill in the blank. One question. Please hurry!
geniusboy [140]

Answer:

(3-2h)^3 + (3-2h)^4 = (3-2h^2)^3 (1 + (3-2h^2))

6 0
3 years ago
Read 2 more answers
Other questions:
  • If the value of x increases by 5, how does the value of m(x + 3) change?
    6·2 answers
  • What is the value of n in the inequality in the box n+4<12
    9·2 answers
  • Last year, the tree in Pedro's front yard was 5 feet tall. This year, the tree is 2 feet less than the height of Pedro's house.
    15·1 answer
  • Solve for x. Round to the nearest tenth. Help
    15·2 answers
  • A researcher observes the level of aggression of six 5-year-old boys over the course of a school day. The number of incidents fo
    8·1 answer
  • Which side lengths represent the sides of a right triangle?
    8·1 answer
  • Need help now please please
    9·1 answer
  • I am greater than 320. You say my number if you start at 324 and count from 10 to 10. I have the same number of tens and ones.
    15·1 answer
  • PLS HELP!! GIVING OUT BRAINLIEST!
    12·1 answer
  • Rewrite the polynomial in the form ax^2+bx+c and then identify the values of a, b, and c
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!