<u>Part</u><u> </u><u>(</u><u>a</u><u>)</u>
Using the quotient rule, the blank is 11/5.
<u>Part</u><u> </u><u>(</u><u>b</u><u>)</u>
Using the product rule, the blank is 9.
<u>Part</u><u> </u><u>(</u><u>c</u><u>)</u>
Using the power rule, the blank is 5.
<h2>
Answer:</h2>
a)
The probability that both televisions work is: 0.42
b)
The probability at least one of the two televisions does not work is:
0.5833
<h2>
Step-by-step explanation:</h2>
There are a total of 9 televisions.
It is given that:
Three of the televisions are defective.
This means that the number of televisions which are non-defective are:
9-3=6
a)
The probability that both televisions work is calculated by:
( Since 6 televisions are in working conditions and out of these 6 2 are to be selected.
and the total outcome is the selection of 2 televisions from a total of 9 televisions)
Hence, we get:
b)
The probability at least one of the two televisions does not work:
Is equal to the probability that one does not work+probability both do not work.
Probability one does not work is calculated by:
and the probability both do not work is:
Hence, Probability that atleast does not work is:
0.5+0.0833=0.5833
Answer & Step-by-step explanation:
4(t + 2) = 10
4t + 8 = 10
4t = 2
t = 1/2
Hope this helps
Answer (the system of equations input doesn't work, so there is no brace):
x = 1.5y
x + y =800
Step-by-step explanation:
First, identify the vital information:
- 800 total students
- 1.5 times as many boys as girls
So, if x = number of boys and y = number of girls, we can agree that:
x = 1.5y
And because there are 800 kids in total, we can agree that:
x + y = 800
There are 320 girls and 480 boys. (see below)
Since you have the value of x, 1.5y, you can plug-in the value:
x + y = 800
1.5 + y = 800
2.5y = 800
y = 320 girls
Plug-in the y-value into the equation for the number of boys:
x = 1.5y
x = 1.5(320)
x = 480 boys
To double-check:
320 + 480 = 800 ☺