Answer:
36 apples and 18 oranges
Step-by-step explanation:
4x+2x=54
6x=54
x=54/6
x=9
Apples=4x=36
Oranges=2x=18
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.
- 3x + 2x + 5 + 5x + 15 = 180 [angles on a line add to 180 degrees]
- 10x + 20 = 180 [combine like terms]
- 10x = 160 [subtract 20 from both sides]
- x = 16 [divide both sides by 10]
Arc AB measures 3(16) = 48 degrees.
Arc BC measures 2(16) + 5 = 41 degrees.
Answer:
v=3
u=6
x=2√2
y=2√2
Step-by-step explanation:
First triangle :
tanΦ=v/3√3
tan30=v/3√3
(√3)/3=v/(3√3)
Cross multiply
(√3)/3 x 3√3=v
(√3 x 3√3)/3=v
(3√9)/3=v
(3x3)/3=v
9/3=v
3=v
v=3
Sin30=v/u
0.5=3/u
Cross multiply
0.5xu=3
0.5u=3
Divide both sides by 0.5
0.5u/0.5=3/0.5
u=6
Second triangle :
sin45=x/4
Cross multiply
x=4 x sin45
x=4 x (√2)/2
x=2√2
Cos45=y/4
Cross multiply
4 x Cos45=y
4 x (√2)/2=y
(4√2)/2=y
2√2=y
y=2√2
Answer:
The actress has the more extreme age because
Step-by-step explanation:
Given
Male Athletes:
Female Athletes
Required
Determine which athlete had more extreme age
To do this, we simply calculate the standard z score using
For the actor:
For the actress:
Comparing both z values;
The actress has the more extreme age because
- <em>It has a positive z value</em>
- <em>Its z value is greater than that of the actor</em>
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