(10x-20)=(6x+8)
We simplify the equation to the form, which is simple to understand
(10x-20)=(6x+8)
Remove unnecessary parentheses
10x-20=(6x+8)
Remove unnecessary parentheses
10x-20=6x+8
We move all terms containing x to the left and all other terms to the right.
+10x-6x=+8+20
We simplify left and right side of the equation.
+4x=+28
We divide both sides of the equation by 4 to get x.
x=7
Answer:
about 36.3 feet
Step-by-step explanation:
Let x represent the height of the kite in feet. Then (x-22) is the horizontal distance to the kite. The Pythagorean theorem tells you the string length is related to these distances by ...
... 39² = x² + (x-22)²
... 2x² -44x -1037 = 0 . . . . rearrange to standard form
Using the quadratic formula, the positive solution is ...
... x = (-b+√(b²-4ac))/(2a) . . . . for a=2, b=-44, c=-1037
... x = (44 + √((-44)² -4(2)(-1037)))/(2·2)
... x = 11 + √639.5 ≈ 36.288
The kite is about 36.3 feet above the ground.
Answer:
1 and 111 only
Step-by-step explanation:
The goodness of fit test is used to examine if there is significant evidence to say thatvthe observed and expected freqencies are from the desired distribution.
Condituis required for performing a goodness of fit test on a data include :
Randomness, sampled Data must have been chosen at random in other to be representative, here, randomness isn't exhibited as Pasquale used more of convenient sampling questioning the first 40 students.
Also, the expected value of the number of sample observation in each level of the variable should be atleast 5.
This is also violated, as the expected values for some of the levels are less than 5
Hence, conditions 1 and 111 are not met
Answer:
equation; P=A(1+r/n)^nt
P=principal amount
A=value of investment
r= interest rate in decimals
n=number of times compounded
t=time in years
P=1000(1+0.16/12)^12(5)= $2213.8 rounded
Step-by-step explanation:
