Answer:
a) P=0.6881
b) P=0.4292
c) P=0.9474
d) P=0.0051
e) P=0.9950
f) P=0.1048
Step-by-step explanation:
a) What is P(-1.5 < Z < 0.69)?
![P(-1.5 < z < 0.69)=P(z](https://tex.z-dn.net/?f=P%28-1.5%20%3C%20z%20%3C%200.69%29%3DP%28z%3C0.69%29-P%28z%3C-1.5%29%5C%5C%5C%5CP%28-1.5%20%3C%20z%20%3C%200.69%29%3D0.7549-0.0668%3D0.6881)
b) What is P(0 < Z < 1.47)?
![P(0 < z < 1.47)=P(z](https://tex.z-dn.net/?f=P%280%20%3C%20z%20%3C%201.47%29%3DP%28z%3C1.47%29-P%28z%3C0%29%5C%5C%5C%5CP%280%20%3C%20z%20%3C%201.47%29%3D0.9292-0.5%3D0.4292)
c) What is P(Z > -1.62)?
![P(z>-1.62)=0.9474](https://tex.z-dn.net/?f=P%28z%3E-1.62%29%3D0.9474)
d) What is P(Z < -2.57)?
![P(z](https://tex.z-dn.net/?f=P%28z%3C-2.57%29%3D0.0051)
e) What is P(Z < 2.57)?
![P(z](https://tex.z-dn.net/?f=P%28z%3C2.57%29%3D0.9950)
f) What is P(-2.49 < Z < -1.22)?
![P(-2.49 < Z < -1.22)=P(z](https://tex.z-dn.net/?f=P%28-2.49%20%3C%20Z%20%3C%20-1.22%29%3DP%28z%3C-1.22%29-P%28z%3C-2.49%29%5C%5C%5C%5CP%28-2.49%20%3C%20Z%20%3C%20-1.22%29%3D0.1112-0.0064%3D0.1048)
Answer:
C.)
Step-by-step explanation:
There are multiple technical ways to explain this but the best one that works for me is the "vertical line test" can be used to find a function or non function. All you have to do is position your pencil vertically, place it to the far left of the graph drag it horizontally across to the right side of the graph. If your pencil is making contact with two lines at one time, it is NOT a function. Hopefully this makes sense.
1) You have four tiles that say M, A, T, and H. How many words can you form from these tiles? For example, you can form "AMH" and "TH". (The words do not have to be valid English words.)
2)How many numbers among 1, 2, 3, 1000 are not divisible by 9?
3)Andrew chooses a number from 1 to 100, and Mary also chooses a number from 1 to 100. (They may choose the same number.) It turns out that the product of their numbers is even. In how many ways could Andrew and Mary have chosen their numbers?
4)How many numbers between 50 and 250 (inclusive) are not perfect squares?
5)Dmitri has a pair of standard dice; one die is blue, and the other die is yellow. He rolls both of his dice. How many ways could the number on the blue die be larger than the number on the yellow die?
6) Bob flips a penny, a nickel, and a dime. How many ways can she get at least two heads?
Answer:
(a)4.17 metres
(b)6.9999 seconds
(c)f⁻¹, t= 2ᶠ⁽ᵗ⁾
Step-by-step explanation:
f(t)=log₂t
(a) If t=18 seconds
f(18)=log₂18= log ₂(2X9)
=log ₂2 + log ₂9
=1+(log9/log2)
=1 + 3.1699 =4.17 metres
f(18)=4.17 metres.
(b)If f(t)=2.80735, we want to determine the value of t.
f(t)=log₂t
2.80735=log₂t
Changing from logarithm form to index form
t= 2^(2.80735)
=6.9999 seconds
(c)f(t)=log₂t
Next, We want to determine f⁻¹
If y=log₂t
Changing to exponential form
t=2ʸ
f⁻¹, t= 2ᶠ⁽ᵗ⁾.