Answer:
the probability that the sample mean will be larger than 1224 is 0.0082
Step-by-step explanation:
Given that:
The SAT scores have an average of 1200
with a standard deviation of 60
also; a sample of 36 scores is selected
The objective is to determine the probability that the sample mean will be larger than 1224
Assuming X to be the random variable that represents the SAT score of each student.
This implies that ;
the probability that the sample mean will be larger than 1224 will now be:
From Excel Table ; Using the formula (=NORMDIST(2.4))
P(\overline X > 1224) = 1 - 0.9918
P(\overline X > 1224) = 0.0082
Hence; the probability that the sample mean will be larger than 1224 is 0.0082
A 9.5-inch-diameter spherical in the shape of a strange orb is present. 3591.36 m3 of volume and surface
<h3>Explain about the Radius?</h3>
The radius of a circle is the separation between any two points on its circumference. R or r is typically used to indicate it.
The diameter of a circle cuts through the centre whereas the radius extends from the centre to the edges of the circle. The diameter of a circle effectively divides the shape in two.
A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.
The radius of a circle is the distance from the center to any point on the edge. The radius is equal to the diameter in half, or 2r=d2 r=d.
V=4 \3πr³
= 4/3 π 9.5³
=3591.36
To learn more about Radius refer to:
brainly.com/question/390660
#SPJ1
I believe is C and D because
C. The original rectangle width is 2m and the length is 4m. And to make the other rectangle they are adding .5 m to both the width and length
D. The original rectangle has a width of 2m and length of 4m. To make the other rectangle they are substracting 1 m from the width and length
Answer:
<u>The sequence is</u>
- 1, 1 + 2, 1 + 2 + 3, 1 + 2 + 3 + 4, ...
Each term is the sum of the consecutive numbers from 1 to that number.
<u>The nth term is the sum of the first n numbers:</u>
- aₙ = 1 + 2 + 3 + ... + n
- aₙ = 1/2n(1 + n) (formula for sum of the n terms of arithmetic progression with the first term of 1 and common difference of 1)
- aₙ = n(n + 1)/2
1) The number of circles in the nth pile is n(n + 1)/2
2) When n tends to infinity the number of circles tends to infinity
The solution is 4x+2x=6x then 6x+10=solution
