Answer:
P = 0.0215 = 2.15%
Step-by-step explanation:
First we need to convert the values of 900 and 975 to standard scores using the equation:
Where z is the standard value, x is the original value, 
is the mean and 
is the standard deviation. So we have that:
standard value of 900: 
standard value of 975: 
Now, we just need to look at the standard distribution table (z-table) for the values of z = 2 and z = 3:
z = 2 -> p_2 = 0.9772
z = 3 -> p_3 = 0.9987
We want the interval between 900 and 975 hours, so we need the interval between z = 2 and z = 3, so we just need to subtract their p-values:
P = p_3 - p_2 = 0.9987 - 0.9772 = 0.0215
So the probability is 0.0215 = 2.15%
Answer:
A. The vector goes from (4, 0) to (3, -2).
Step-by-step explanation:
The tail of the vector is on the point (4, 0). The head of the vector is on the point (3, -2). Only answer choice A correctly identifies both of the points associated with the vector.
Answer:
0.4 l of purple sand
Step-by-step explanation:
<u>Volume to be filled in:</u>
<u>Red sand</u>
<u>Blue sand</u>
- 35 centiliters = 35*10 ml = 350 ml
<u>Yellow sand</u>
- 2.5 deciliters = 2.5*100 ml = 250 ml
<u>Total volume filled:</u>
- 1000 + 350 + 250 = 1600 ml
<u>Purple sand needed:</u>
- 2000 - 1600 = 400 ml = 0.4 l
<u>Answer is</u> 0.4 l of purple sand required
Answer:
34.8%
Step-by-step explanation:
$600+15%
=600+15/100*600
=600+90
=$690
You have $450 and you want to purchase a product of $690(regular price+sales tax)
$690-$450
=$240
Percentage of $240 discount
=240/690*100
=34.78%
Approximately 34.8%
2.4 ÷ 0.3 = 8
Scale factor = 8
8 = positive integer
Therefore, it is an enlargement
