Answer:
The probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
Step-by-step explanation:
Mean of Sat =
Standard deviation = 
We will use z score over here
What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
P(X>675)
Z=1.75
P(X>675)=1-P(X<675)=1-0.9599=0.0401
b)between 450 and 675?
P(450<X<675)
At x = 675
Z=1.75
At x = 450
Z=-0.5
P(450<X<675)=0.9599-0.3085=0.6514
Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
The square root of 144x^2 = 12 x
and square root of + 81 = 9 or -9
if this polynomial were a perfect square then its factors would be
(12x - 9)(12x - 9)
but its not a perfect squre because (12x - 9)(12x - 9) = 144x^2 - 216x + 81.
Answer:
(-10, 2)
Step-by-step explanation:
Compare:
g(x) = (x+10)^2+2
f(x) = (x - h)^2 + k
Matching these up, term by term, we see that h = -10 and k = 2. (h, k) represents the vertex of the parabola f(x) = (x - h)^2 + k.
We conclude that the vertex of this parabola is (-10, 2).
Answer:
The correct answer is third option
1/√3
Step-by-step explanation:
From the figure we can see a right angled triangle ABC.
Right angled at C.
AB = 10
AC = 5
BC = 5√3
<u>Points to remember</u>
Tan θ = Opposite side/Adjacent side
<u>To find the value of tan(B)</u>
Tan B = Opposite side/Adjacent side
= AC/BC
= 5/5√3
= 1/√3
Therefore the value of tan(B) = 1/√3
Answer:
-32/4
Step-by-step explanation:
-8 times 4= -32 put -32 over 4
