Answer:
V = x(19-2x)(4-2x)
Step-by-step explanation:
We are given;
Length of flat piece of material =19 inches
Width of flat piece = 4 inches
We are told that the open box is to be made from a flat piece by cutting equal squares of length x from the corners and folding up the sides
Thus, we will now have;
length of open box = (19-2x) inches
Width of open box = (4-2x) inches
Height of box = x inches
We know that: Volume of box = length × width × height
So, plugging in the relevant values, we have;
Volume of box(V) = x(19-2x)(4-2x)
What's the actual question? That's the same as the radius of the circle if that's what you're asking
Answer: I'm not completly certain but, try 27% and see if it's right.
Step-by-step explanation:
Answer:
0.03 is the probability that for the sample mean IQ score is greater than 103.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100
Standard Deviation, σ = 16
Sample size, n = 100
We are given that the distribution of IQ score is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P( mean IQ score is greater than 103)
P(x > 103)
Calculation the value from standard normal z table, we have,
0.03 is the probability that for the sample mean IQ score is greater than 103.
Answer:
A: 14/65
Step-by-step explanation:
Let A be the event of pulling a blue marble first, there are 28 blue marbles
Let B be the event of pulling a red marble second, there are 12 red marbles
There are 40 total marbles in the bag.
So
P(A) = 28/40
Since he pulls two marbles with out replacement, there is one less marble in the bag when he pulls the second marble, so there are only 39 marbles left, so
P(B) = 12/39
When calculating the probability of multiple events, you multiply their probabilities together, so we have
P(A then B) = (28/40)(12/39) = 336/1560
Now reduce the fraction...
112/520
28/130
14/65
