Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
Answer:
$6.25 marked up 25% is $7.81
Step-by-step explanation:
First, you have to find what 25% is of 6.25.
Step 1: Our output value is 25.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 25=100%.
Step 4: Similarly, x=6.25%.
Step 5: This results in a pair of simple equations:
25=100%(1)
x=6.25%(2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
<u>25 </u> = <u>100</u>
x 6.25
Step 7: Again, the reciprocal of both sides gives
<u> x </u> = <u>6.25</u>
25 100
x= 1.5625
x≈ 1.56
Once you've known what 25% is, you add it to 6.25.
1.56+6.25= 7.81
Answer:
1.
4/8/9
4*9/8
9/2
2.
2/5/6
2*6/5
12/5
3.
4/1/4
4*4
16
4.
2/1/4
2*4
8
5.
3/1/7
3*7
21
Answer: a) 0.99917 b) 0.7054 c) 0.9820
Step-by-step explanation:
Let X denotes the number of people are in favor of a proposed rise in school taxes.
Era re given that p(probability that a person is in favor of a proposed rise )= 0.65
Sample size : n= 100
Mean= np = 100(0.65)=65
Standard deviation: 
a) Now, the probability that a random sample of 100 people will contain at least 50 who are in favor of the proposition :
b) between 60 and 70 inclusive who are in favor;
c) fewer than 75 in favor.
