Answer:
First, convert the hour to minutes.
1 hr = 60 mins
15 mins: 60 mins
1:4
Answer:
If Carley ran the 400 meter run in a total of 55.7 seconds and she beat the record by 1.3 seconds, you would add 55.7 and 1.3
55.7+1.3= 57 seconds
The past school record for the girls 400 meter run was 57 seconds
Hope this helps ;)
Answer: he would receive a rebate of $1677.5
Step-by-step explanation:
A General Motors buyer-incentive program offered a 5.5% rebate on the selling price of a new car. This means that if the selling price of the new car is $x, the rebate (in dollars) that a customer would receive is
5.5/100 × x = 0.055 × x = 0.055x
Therefore, for a customer who purchased a $30,500 car under this program, the rebate that he would receive is
0.055 × 30500 = $1677.5
The opposite angles of a parallelogram are congruent, so you have to set the values of each angle equal to each other and solve for x.
(10x-19)° = (7x+23)°
-7x -7x
3x-19 = 23
+19 +19
3x = 43
÷3 ÷3
x = 43
Then, substitute the value of x back into the equations.
(10x-19)°
(10(14)-19)°
(140-19)°
121°
(7x+23)°
(7(14)+23)°
(98+23)°
121°
The value of K for which f(x) is a valid probability density function is 1/4.
<h3>How to solve for the value of K</h3>
![K[\frac{2^2}{2} -0]+[K[4(4-2)-(\frac{4^2}{2} -\frac{2^2}{2} )]=1](https://tex.z-dn.net/?f=K%5B%5Cfrac%7B2%5E2%7D%7B2%7D%20-0%5D%2B%5BK%5B4%284-2%29-%28%5Cfrac%7B4%5E2%7D%7B2%7D%20-%5Cfrac%7B2%5E2%7D%7B2%7D%20%29%5D%3D1)
open the equation
![K\frac{4}{2}+K[8 - (\frac{16}{2} -\frac{4}{2} )] = 1\\](https://tex.z-dn.net/?f=K%5Cfrac%7B4%7D%7B2%7D%2BK%5B8%20-%20%28%5Cfrac%7B16%7D%7B2%7D%20%20-%5Cfrac%7B4%7D%7B2%7D%20%29%5D%20%3D%201%5C%5C)
![2K+K[\frac{4}{2} ]=1](https://tex.z-dn.net/?f=2K%2BK%5B%5Cfrac%7B4%7D%7B2%7D%20%5D%3D1)
2K + 2K = 1
4K = 1
divide through by 4
K = 1/4
Read more on probability density function here
brainly.com/question/15714810
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