The range would be the difference between the lowest age and the highest age.
The highest age is 76, the lowest age is 30
The range is 76 - 30 = 46
Answer:
(22, - 24)
Step-by-step explanation:
Multiply the first equation by -5 to make the y's so you can add the up to zero.
-5(2x + y = 20)
-10x - 5y = -100 Add the second equation thn solve for x
<u> 6x + 5y = 12 </u>
-4x = -88
x = 22
Plug 22 in for x in either equation
2x + y = 20
2 (22) + y = 20
44 + y = 20
y = -24
Answer:
95% of monthly food expenditures are between $110 and $190.
Step-by-step explanation:
Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.
To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?
Solution :
At 95% of the data is between two standard deviation to left and right of the mean is given by,
To the left side, ![\bar{x}-2\sigma](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D-2%5Csigma)
To the right side, ![\bar{x}+2\sigma](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%2B2%5Csigma)
We have given,
The sample mean ![\bar{x}=\$150](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%3D%5C%24150)
The standard deviation ![\sigma=\$20](https://tex.z-dn.net/?f=%5Csigma%3D%5C%2420)
Substitute in the formula,
![\bar{x}-2\sigma](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D-2%5Csigma)
![=150-2(20)](https://tex.z-dn.net/?f=%3D150-2%2820%29)
![=150-40](https://tex.z-dn.net/?f=%3D150-40)
![=110](https://tex.z-dn.net/?f=%3D110)
![\bar{x}+2\sigma](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%2B2%5Csigma)
![=150+2(20)](https://tex.z-dn.net/?f=%3D150%2B2%2820%29)
![=150+40](https://tex.z-dn.net/?f=%3D150%2B40)
![=190](https://tex.z-dn.net/?f=%3D190)
Therefore, 95% of monthly food expenditures are between $110 and $190.
Answer:
$40.00
Step-by-step explanation:
to find the cost multiply the cost per unit by the number of units: 10/6 x 24 = 40
Answer: $10
Step-by-step explanation:
Assume the price of the phone case is x.
Assume the price of the charging cord is y.
Discounted price for phone case : 15% * x
= 0.15x
Discounted price for charging cord = 0.15y
Expression is therefore:
0.15x + 0.15y = 4.20
0.15 * 18 + 0.15y = 4.20
2.7 + 0.15y = 4.20
0.15y = 4.2 - 2.7
y = 1.5/0.15
y = $10