Answer:
p = -4 or p = 4
300 sq. ft.
Step-by-step explanation:
In the first question since it is only the first turn for the player in the game he could only have won or lost 4 points. Therefore the equation would be the following.
p = -4 or p = 4
in the second question we need to calculate the area of the living room, which can be calculated using the following equation by implementing the values given to us in the question.
... add 25 to both sides
... divide 1/5 by both sides
finally, we can see that the area of the living room is 300 sq. ft.
Answer:
a) the probability of A students study for more than 10 hours per week
P(X>10) = 0.117
b) The probability that an student spends between 7 and 9 hour
P(7<x< 9) = 0.9522
Step-by-step explanation:
Step(I):-
Let 'X' be random variable of the normal distributed with a mean of 7.5 hours and standard deviation of 2.1 hours
mean of the Population is = 7.5 hours
standard deviation of the Population = 2.1 hours
Z = 1.1904
The probability of A students study for more than 10 hours per week
P(X>10) = 0.5-A(Z₁) = 0.5 -A(1.1904) = 0.5 - 0.3830 = 0.117
Step(ii):-
Put x=7
put x=9
The probability that an A student spends between 7 and 9 hour
P(7 < x< 9) = A(9) - A(7)
= 0.7142 +0.238
= 0.9522
The answer is A. (42)
WORKINGS
Since Q is equidistant from the sides of ∠TSR,
∠TSQ = ∠QSR
m∠TSQ = 4x + 5
m∠QSR = 8x – 11
Therefore, 4x + 5 = 8x – 11
Solving for x
4x + 5 = 8x – 11
Add 11 to both sides of the equation
4x + 5 + 11 = 8x – 11
+ 11
4x + 16 = 8x
Subtract 4x from both sides of the equation
4x + 16 – 4x = 8x – 4x
16 = 4x
4x = 16
x = 16/4
x = 4
∠RST is the same as ∠TSR
m∠RST = ∠TSQ + ∠QSR
m∠RST = 4x + 5 + 8x – 11
m∠RST = 12x – 6
m∠RST = (12 x 4) – 6
m∠RST = 48 – 6
m∠RST = 42 degrees
Answer:
slope of 9
Step-by-step explanation:
parallel means never touching, so it would have the same slope.
Hope this helps!
Answer:
(8, 8200)
Step-by-step explanation:
It looks like you got it right, the point (8, 8200) is that of a collectors item car, that has not changed much its original price of about £10,000 (at year zero), having a value of £8,200 8 years later.