Answer:
8) 21 milliliters
i am not completly sure but it is NOT the whole
9) .4 & 40%
7) 9670 feet
10) a) $7200 b)350,000
Step-by-step explanation:
cuz 35% of 60 is 21
cuz 120/300 is .4 and if you take 300 * .4 it equals 120
Answer:
Reduced fraction: 14/25
Step-by-step explanation:
To write 0.56 in terms of fractions we need to multiply and divide the number by 100:
(0.56 * 100)/100 = 56/100. Then we simplify the fraction by dividing the numerator and denominator by the common factor 2 as many times as possible:
56/100 = 28/50 = 14/25
The fraction 14/25 cannot be more simplified
Answer:
Option B. 7.6
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
where
k is the constant of proportionality
The slope of the linear equation is the same that the constant of proportionality
In this problem we have
so
the slope is 
therefore
The constant of proportionality k is 
Answer:
a) the probability that the minimum of the three is between 75 and 90 is 0.00072
b) the probability that the second smallest of the three is between 75 and 90 is 0.396
Step-by-step explanation:
Given that;
fx(x) = { 1/5 ; 50 < x < 100
0, otherwise}
Fx(x) = { x-50 / 50 ; 50 < x < 100
1 ; x > 100
a)
n = 3
F(1) (x) = nf(x) ( 1-F(x)^n-1
= 3 × 1/50 ( 1 - ((x-50)/50)²
= 3/50 (( 100 - x)/50)²
=3/50³ ( 100 - x)²
Therefore P ( 75 < (x) < 90) = ⁹⁰∫₇₅ 3/50³ ( 100 - x)² dx
= 3/50³ [ -2 (100 - x ]₇₅⁹⁰
= (3 ( -20 + 50)) / 50₃
= 9 / 12500 = 0.00072
b)
f(k) (x) = nf(x) ( ⁿ⁻¹_k₋ ₁) ( F(x) )^k-1 ; ( 1 - F(x) )^n-k
Now for n = 3, k = 2
f(2) (x) = 3f(x) × 2 × (x-50 / 50) ( 1 - (x-50 / 50))
= 6 × 1/50 × ( x-50 / 50) ( 100-x / 50)
= 6/50³ ( 150x - x² - 5000 )
therefore
P( 75 < x2 < 90 ) = 6/50³ ⁹⁰∫₇₅ ( 150x - x² - 5000 ) dx
= 99 / 250 = 0.396
P=x+38
add all individual sides together (is also the perimeter):
p=(x+3)+(x-5)+x+(x-2)+(x-4)+(x-1)+(x-1)
=7x-10
set both p equal:
x+38=7x-10
38=6x-10
48=6x
8=x
then insert x=8 in all the side/perimeter equations:
p=x+38=8+38=46
sides:
x=8
x-2=8-2=6
x-1=8-1=7
x-4=8-4=4
x-5=8-5=3
x+3=8+3=11
