Answer:
$1226.78<x<$1301.22
Step-by-step explanation:
The formula for calculating confidence interval is expressed as;
CI = xbar ± z×(s/√n)
Given
Mean (xbar) = $1264
z is the z score at 90% CI = 1.645
s is the standard deviation = $150
n is the sample size = 44
Substitute
CI = 1264±1.645(150/√44)
CI = 1264±1.645(150/6.63)
CI = 1264±1.645(22.624)
CI = 1264±37.22
CI = (1264-37.22, 1264+37.22)
CI = (1226.78, 1301.22)
Hence the confidence interval of the mean is $1226.78<x<$1301.22
we have the number
![6-\sqrt[]{-40}](https://tex.z-dn.net/?f=6-%5Csqrt%5B%5D%7B-40%7D)
Remember that
i^2=-1
so
substitute
![6-\sqrt[]{(i^2)40}](https://tex.z-dn.net/?f=6-%5Csqrt%5B%5D%7B%28i%5E2%2940%7D)
![6-2i\sqrt[]{10}](https://tex.z-dn.net/?f=6-2i%5Csqrt%5B%5D%7B10%7D)
therefore
the real part is 6
the imaginary part is -2√10
<h2>
1:</h2>
- A mile unit is equal to 1760 yards. inches =mile * 63360 2*63360=126720
2 Miles = 126720 Inches
- There are 36 inches in a yard
3600/36= 100
3600 inches = 100 yards
6800/1000 = 6.8
6800 m = 6.8 km
15000/100=150
15000 cm=150 m
2:
a) Johnson ran yard in second= 9
1 minute = 60 second
Johnson ran yard in one minute= 9 *60= 540 yards
b) Johnson ran yard in second= 9
1 hour = 60 minutes *60 second= 1200 seconds
Johnson ran yard in one hour= 9 *1200= 10,800 yards
c) Johnson ran yard in one hour= 9 *1200= 10,800 yards
1 mile = 1760 yards
miles did he run in one hour= 10,800 / 1760 =6
Johnson ran 6 mile in one hour
Answer: 50% increase
Step-by-step explanation:
Think of 20 as 100%
Half of 20 is 10 which is 50% in this scenario.
30-20=10
This means that the price of the item increased by 50% or 10.
This is a difference of perfect squares which is of the form:
(a^2-b^2)
And which always factors to:
(a-b)(a+b)
In this case:
(5x-8)(5x+8)
