Answer:
Michelle is closer to the treasure chest.
Step-by-step explanation:
If you didn't know, the smallest angle is opposite the smallest line, and it goes the same way for larger angles.
65 degrees is opposite Michelle's line, making her line shorter.
192 miles is how far it travels
Answer:
0.0635,0.1093
Step-by-step explanation:
Given that according to some study, the height for Northern European adult males is normally distributed with an average of 181 centimeter and a standard deviation of 7.3 centimeter.
Suppose such an adult male is randomly chosen.
Let X be height of that person.
X is N*(171,7.3)
a) The probability that the person is between 160 and 170 centimeters is
=
Take any std normal table where prob are given from 0 to 3
Since symmetrical we take the prob for 1.51 and 2.88 and find the difference
= 0.4980-0.4345
=0.0635
b) The probability that the person is higher than 190 centimeter is
=
= 0.5-value corresponding to 1.23
= 0.5-0.3907
=0.1093
Answer:
First Picture Answer:
x=0, x=2/3 are extraneous Solutions
Second Picture Answer:
(-infinity, -3)(-3, infinity)
Third Picture Answer:
x=3
Fourth Picture Answer:
x=0, x=2 is extraneous solution
Fifth Picture Answer:
x=3/2 is the vertical asymptote
Step-by-step explanation:
First Picture Answer:
x/4=x^2/x+2
Multiply each side with 4(x+2)
x(x+2)=4x^2
x^2+2x-4x^2=0
-3x^2+2x=0
Taking x Common
x(-3x+2)=0
x=0, -3x+2=0
x=0, x=2/3
Second Picture Answer:
f(x)=x-1/x+3
A rational function is simply a fraction and in a fraction the denominator cannot be equal zero because it would be undefined. To find which numbers make the fraction undefined, create an equation where the denominator is not equal to zero.
x+3 is not equal to 0
x is not equal to -3
so our domain is (-infinity, -3)(-3, infinity)
Third Picture Answer:
3x-5/7=4/7
Multiply with 7 on both sides
3x-5=4
3x-=9
x=9/3
x=3
Fourth Picture Answer:
4x^2=(3x^2+2)x
4x^2=3x^2+2x
4x^2-3x^2-2x=0
x^2-2x=0
x(x-2)=0
x=0, x-2=0
x=0, x=2
Fifth Picture Answer:
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. Set the denominator of the above fraction equal to zero and solve, this will tell the values that x can not be:
2x-3=0
x=3/2
so x cannot be 3/2 which is the vertical asymptote
15 x 5 = 75
35/75 + 30/75 = 65/75
(65/75) / 5 = 13/15