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Aleksandr [31]
2 years ago
10

The shape shown in the diagram below is made up from a hemisphere on top of a cylinder.

Mathematics
1 answer:
Sedbober [7]2 years ago
6 0
Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d Lal,sos;a;d
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Calculate the value of the sample variance. Round your answer to one decimal place. 9_5,9_5,2,9_5
Ugo [173]

Answer:

s^2 = 0.01

Step-by-step explanation:

Given

Values: 9/5, 9/5, 2, 9/5

Required

Calculate the sample variance

Sample variance is calculated using:

s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}

First, we calculate the mean

\overline x = \frac{\sum x}{n}

\overline x = \frac{9/5 + 9/5 + 2 + 9/5}{4}

\overline x = \frac{7.4}{4}

\overline x = 1.85

s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1} becomes

s^2 = \frac{(9/5 - 1.85)^2+(9/5 - 1.85)^2+(2 - 1.85)^2+(9/5 - 1.85)^2}{4 - 1}

s^2 = \frac{(-0.05)^2+(-0.05)^2+(0.15)^2+(-0.05)^2}{4 - 1}

s^2 = \frac{0.0025+0.0025+0.0225+0.0025}{3}

s^2 = \frac{0.03}{3}

s^2 = 0.01

<em>Hence, the variance is 0.01</em>

5 0
2 years ago
PLEASE HELP!!!! i REALLY NEED TO GET THIS DONE AND AM HAVING TROUBLE WITH THIS ONE!!!!
zubka84 [21]

Answer:

a[n] = a[n-1]×(4/3)

a[1] = 1/2

Step-by-step explanation:

The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.

The general explicit term of a geometric sequence is ...

  a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio

Comparing this to the expression you are given, you see that ...

  a[1] = 1/2

  r = 4/3

(You also see that parenthses are missing around the exponent expression, n-1.)

A recursive rule is defined by two things:

  1. the starting value(s) for the recursive relation
  2. the recursive relation relating the next term to previous terms

The definition of a geometric sequence tells you the recursive relation is:

  <em>the next term is the previous one multiplied by the common ratio</em>.

In math terms, this looks like

  a[n] = a[n-1]×r

Using the value of r from above, this becomes ...

  a[n] = a[n-1]×(4/3)

Of course, the starting values are the same for the explicit rule and the recursive rule:

  a[1] = 1/2

7 0
2 years ago
Which point lies on both y = 5x – 3 and y=-4x+6?
dmitriy555 [2]
Its A (1,2) yo you should look for a graphing calculator it helps alot all you need is to put that exact equation in and it graphs for you
8 0
3 years ago
What is the ratio of seats to wheels in a group of tricycles?
Morgarella [4.7K]
Each tricycle has 3 wheels and one seat, so the ratio of seats to wheels is 1:3
4 0
3 years ago
Find the lateral surface area of this
Allushta [10]

Answer:226.2

Step-by-step explanation

Lateral= 2πrh

H=12

R=3

2*π*3*12=226.19

Round to nearest 10th is 226.2

6 0
2 years ago
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