Answer: x=2
Step-by-step explanation:
Given
9(x+1)=25+x
Distributive property
9x+9=25+x
Subtract x on both sides
9x+9-x=25+x-x
8x+9=25
Subtract 9 on both sides
8x+9-9=25-9
8x=16
Divide 8 on both sides
8/8 x=16/8
x=2
Hope this helps!! :)
Please let me know if you have any question
Answer:
P ( 23 < X < 64.7 ) = P ( -1 < Z < 2 ) = 0.8186
Step-by-step explanation:
Solution:
- Let X be a random variable that denotes the age of people who use smartphones.
- The random variable X follows a normal distribution with parameters mean (u) and standard deviation (s).
-The normal distribution can be expressed as:
X~ N ( u , s^2 )
X~ N ( 36.9 , 13.9^2 )
- The probability that a random smartphone user in the age range 13 to 55+ is between 23 and 64.7 years old can be expressed as:
P ( 23 < X < 64.7 )
- We will compute the Z-score values for the interval:
P ( 23 < X < 64.7 ) = P ( (x1 - u) / s < Z < (x2 - u) / s )
P ( 23 < X < 64.7 ) = P ( (23 - 36.9) / 13.9 < Z < (64.7 - 36.9) / 13.9 )
P ( 23 < X < 64.7 ) = P ( -1 < Z < 2 )
- We will use Z-table to evaluate:
P ( 23 < X < 64.7 ) = P ( -1 < Z < 2 ) = 0.8186
Answer:
80
Step-by-step explanation:
Look at the figure below. The perimeter is the same as if the corners were moved out to form a square. Then you have 4 congruent sides of length 20.
P = 4 * 20 = 80
Answer:
1.A,B,C,D
2. AB, CD
3. AC, BD
4. Line AD (don't take my word for this one)
Step-by-step explanation:
To solve this problem we are going to use the simple interest formula:

where

is the sum of the <span>interest and the principal
</span>

is the principal

is the interest rate in decimal form

is the time in years
<span>
We know for our problem that </span>

,

, and

. Now, let

represents our interest rate. To express the interest rate in decimal form, we are going to divide the rate by 100%:


.
Now that we have all the values we need, lets replace them in our simple interest formula to find the interest rate:

![21000=15000[1+(0.01x)(5)]](https://tex.z-dn.net/?f=21000%3D15000%5B1%2B%280.01x%29%285%29%5D)




We can conclude that the interest rate of your cousin's loan was 8%.