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leva [86]
3 years ago
7

Turn into a decimal 10/10 5/10​

Mathematics
1 answer:
belka [17]3 years ago
3 0
1. And .500000000000000
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Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Ro
puteri [66]

Answer:

(a) P(0 ≤ Z ≤ 2.87)=0.498

(b) P(0 ≤ Z ≤ 2)=0.477

(c) P(−2.20 ≤ Z ≤ 0)=0.486

(d) P(−2.20 ≤ Z ≤ 2.20)=0.972

(e) P(Z ≤ 1.01)=0.844

(f) P(−1.95 ≤ Z)=0.974

(g) P(−1.20 ≤ Z ≤ 2.00)=0.862

(h) P(1.01 ≤ Z ≤ 2.50)=0.150

(i) P(1.20 ≤ Z)=0.115

(j) P(|Z| ≤ 2.50)=0.988

Step-by-step explanation:

(a) P(0 ≤ Z ≤ 2.87)

In this case, this is equal to the difference between P(z<2.87) and P(z<0). The last term is substracting because is the area under the curve that is included in P(z<2.87) but does not correspond because the other condition is that z>0.

P(0 \leq z \leq 2.87)= P(z

(b) P(0 ≤ Z ≤ 2)

This is the same case as point a.

P(0 \leq z \leq 2)= P(z

(c) P(−2.20 ≤ Z ≤ 0)

This is the same case as point a.

P(-2.2 \leq z \leq 0)= P(z

(d) P(−2.20 ≤ Z ≤ 2.20)

This is the same case as point a.

P(-2.2 \leq z \leq 2.2)= P(z

(e) P(Z ≤ 1.01)

This can be calculated simply as the area under the curve for z from -infinity to z=1.01.

P(z\leq1.01)=0.844

(f) P(−1.95 ≤ Z)

This is best expressed as P(z≥-1.95), and is calculated as the area under the curve that goes from z=-1.95 to infininity.

It also can be calculated, thanks to the symmetry in z=0 of the standard normal distribution, as P(z≥-1.95)=P(z≤1.95).

P(z\geq -1.95)=0.974

(g) P(−1.20 ≤ Z ≤ 2.00)

This is the same case as point a.

P(-1.20 \leq z \leq 2.00)= P(z

(h) P(1.01 ≤ Z ≤ 2.50)

This is the same case as point a.

P(1.01 \leq z \leq 2.50)= P(z

(i) P(1.20 ≤ Z)

This is the same case as point f.

P(z\geq 1.20)=0.115

(j) P(|Z| ≤ 2.50)

In this case, the z is expressed in absolute value. If z is positive, it has to be under 2.5. If z is negative, it means it has to be over -2.5. So this probability is translated to P|Z| < 2.50)=P(-2.5<z<2.5) and then solved from there like in point a.

P(|z|

7 0
3 years ago
Read 2 more answers
HELP!!!!!!!!!!!!!
GarryVolchara [31]

we have that

f(x)=3x-2

g(x)=4x-1

 

3x-2=4x-1-------------> 4x-3x=-2+1--- > x=-1

find the value of f(x) or g(x) for x=-1

f(x)=3x-2 ------->  f(-1)=3*(-1)-2 ------> f(-1)=-5

the solution is the point (-1,-5)

 

using a graph tool

see the attached figure

 

the answer is 

<span>case (A) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.</span>

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3 years ago
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Which property of addition is used in the expression?<br> 0.5+ (0.4+0.8) = (0.5 +0.4) + 0.8
AfilCa [17]
Commutative property i think
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Remember reality is an illusion the universe is a hologram buy gold bye
Irina18 [472]

Answer: Say what is this

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Ryan wants to use the Fermi process to estimate the number of basketballs that would fill a gymnasium. As part of the process, h
Westkost [7]
A basketball is the shape of a sphere.

The volume of a sphere is given by

V= \frac{4}{3} \pi r^3

Given that the diameter of the basketball is 10 in., thus the radius is 10 / 2 = 5 in.

Thus, the volume of the basketball is given by

V= \frac{4}{3} \pi(5)^3 \\  \\ = \frac{4\times125}{3} \pi=523.6\ in^3

Therefore, The best approximate of the volume of the basketball is 5\times10^2\ in^3
3 0
3 years ago
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