Answer:
311.6 cm
Step-by-step explanation:
To solve this problem, let's call:
k = Keith's height
n = nephew's height
Since the ratio is 15:7, we have
(1)
Then, Keith's height is increased by 16%, so the new height of Keith is
(2)
While the nephew's height is doubled:
(3)
We also know that Keith is now 34 cm taller than his nephew, so
(4)
Substituting (2) and (3) into (4), we get
And substituting (1),
Solving for n,
So the current height of the nephew is:
While Keith's current height is
So their total current height is
Answer:
x = 7
Step-by-step explanation:
-3 (x - 1) + 8 (x - 3) = 6x + 7 - 5x
-3 (x - 1) + 8 (x - 3) = 6x - 5x + 7
-3 (x - 1) + 8 (x - 3) = x + 7
-3x + 3 + 8x - 24 = x + 7
-3x + 8x + 3 - 24 = x + 7
5x - 21 = x + 7
+21 +21
--------------------------------------------------
5x = x + 28
-x -x
---------------------------------------------------
4x = 28
/2 /2
----------------------------------------------------
x = 7
To find area
R*R*3.14
D=8
R=4
4*4*3.14= 50.24in
The changing rate of the amount of water in the watering can is a constant rate of 0.15 gallon per minute.
The initial volume of water in the can at time = 0 is 5 gallons
The function will be a linear function in the form of
where
is the volume of water in the can after
minutes
is the changing rate
is the initial volume when time is 0
Substitute all the values into the form we have
Answer:
a) z = -0.358
b) z = 0.358
Step-by-step explanation:
We are given a standard normal distribution.
a) We have to find the value of z such that the proportion of observations that are less than z in a standard normal distribution is 0.36.
That is,
This value will be calculated with the help of a standard normal table.
From standard normal table we have,
Thus, for z equal to -0.358 the proportion of observations that are less than z in a standard normal distribution is 0.36
b) We have to find the value of z such that 36% of all observations from a standard normal distribution are greater than z.
This value will be calculated with the help of a standard normal table.
Calculation the value from standard normal z table, we have,
Thus, 36% of all observations from a standard normal distribution are greater than z equal to 0.358
