Answer:
z = 46/13
Step-by-step explanation:
Step 1: Write equation
z + 6 ÷ 13 = 4
Step 2: Solve for <em>z</em>
- Rewrite: z + 6/13 = 4
- Subtract 6/13 on both sides; z = 46/13
Step 3: Check
<em>Plug in z to verify it's a solution.</em>
46/13 + 6/13 = 4
52/13 = 4
4 = 4
Answer:
1)Mean=920 $
2)Standard Error =S.E.=38
3)more likely to take place Event 25 studio apartments with a mean rent between $901 and $939
Step-by-step explanation:
Given:
True mean =920 $
S.D=190 $
No .of samples=25
To Find:
1)Mean of sample.
2)S.E
Solution:
Now , the mean for given sample distribution is given as 920 $
Hence Mean =920 $
Now calculating the Standard error
S.E.= S.D./Sqrt(n)
=190/Sqrt(25)
=190/5
=38
Therefore the Standard error is about 38 .
a) When n=1 then P(901≤X≤939)
So,
Z1=(901 -920)/190/Sqrt(1)]
Z1=-0.1
Z2=(939-920)/(190/Sqrt(1)]
Z2=0.1
So
Pr(-0.1≤Z≤0.1)=P(Z≤0.1)-P(Z≤-0.1)
=0.5398-0.4602
=0.0797 % chance of the sample distribution
b)n=25 then P(901≤X≤939)
Z1=(901-920)/S.E
Z1=-19/38=
Z1=-0.5
And Z2=0.5
So,
Pr(-0.5≤Z≤0.5)
=Pr(Z≤0.5)-Pr(Z≤-0.5)
=0.6915-0.3085
=0.3829
i.e 38.29 % chance of the sample distribution
Hence More likely to take place will be a sample of 25 studio apartments with a mean rent between $901 and $939.
0.3829>0.0797.
Because the probability of causing above event is more than the option A.
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: air pressures of properly inflated sports balls.
<em>Average recommended psi Tolerance
</em>
<em>(pounds per square inch)
</em>
<em>Soccer ball 12.05
±3.55
</em>
<em>Basketball 8.00
±0.5 </em>
<em>Volleyball 4.44
±0.18</em>
Each recommendation is expressed like the "average air pressure" ± "standard deviation of the recommended air pressure" so if you express it in inequality it will be:
X[bar]-S ≤ X ≤ X[bar]+S
So for each ball type, you can write it as:
<u>Soccer ball</u>
12.05-3.55 ≤ X ≤ 12.05+3.55
8.5 ≤ X ≤ 15.6
<u>Basketball</u>
8.00-0.5 ≤ X ≤ 8.00+0.5
7.5 ≤ X ≤ 8.5
<u>Volleyball</u>
4.44-0.18 ≤ X ≤ 4.44+0.18
4.26 ≤ X ≤ 4.62
I hope this helps!
If the line is parallel, the slope must also be 1/3.
Plug in the coordinates of (0,-9) into y=1/3x+b:
1) -9=(1/3)(0)+b
2) -9=0+b
3) b=-9
Answer:
38
Step-by-step explanation:
2(
+ab) + 3 - ab
= 
+ 2ab + 3 - ab
= + ab + 3
= 2x
+ 5x(-3) + 3
= 50 - 15 + 3
= 38
