Step-by-step explanation:
hahahahahaha I finished math I don't want to see that
Answer:
The probability that the proportion of freshmen in the sample of 150 who plan to major in a STEM discipline is between 0.29 and 0.37 is 0.3855
Step-by-step explanation:
The probability that the proportion of freshmen in the sample of 150 who plan to major in a STEM discipline is between 0.29 and 0.37 can be calculated by finding <em>z-scores</em> and subtracting P(z<z(0.29)) from P(z<z(0.37))
z-score in the binomial distribution of 28% of freshmen entering college in a recent year planned to major in a STEM discipline can be calculated using the equation:
where
- p(s) is proportion of freshmen we are interested (0.37, 0.29)
- p is the proportion found in recent year found by research group (28% or 0.28)
- N is the sample size (150)
Then z(0.37)=
≈ 2.4550 and P(z<2.4550)=0.993
z(0.29)=
≈ 0.2728 and P(z<0.2728)=0.6075
Then P(z(0.29)<z<z(0.37))=0.993-0.6075=0.3855
The height of the all after 2 secs is 86 feet
<h3>Functions and vales</h3>
Given the height in feet above the ground was given by the following function h(t) = -16t^2 + 75t
where:
t is the number of seconds since the ball was punted.
If the value of t = 2s, hence;
h(t) = -16t^2 + 75t
h(2) = -16(2)^2 + 75(2)
h(2) = -64 + 150
h(2) = 86
Hence the height of the all after 2 secs is 86 feet
Learn more about linear equation here: brainly.com/question/14323743
Answer:
96 square tiles are needed
Step-by-step explanation:
To calculate this, the first thing we need to do is calculate the total area covered by the rectangular wall.
Mathematically, the area of the rectangle = 16 * 24 = 384 ft^2
The next thing we need to do is calculate the area of the square tiles = L^2 = 2^2 = 4 ft^2
the number of square tiles needed = Area of rectangular wall/Area of square tiles = 384/4 = 96
F(5) = 1/4(2)^5
f(5) = 1/4 (32)
f(5) = 8
answer
A. 8