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gizmo_the_mogwai [7]
3 years ago
6

Find the nth term of

Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0

(a) n+3......................

seventh term is 19

eight term is 22

nine term is 25

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A nurse at a local hospital is interested in estimating the birth weight of infants. how large a sample must she select if she d
enyata [817]
For large sample confidence intervals about the mean you have: 

xBar ± z * sx / sqrt(n) 

where xBar is the sample mean z is the zscore for having α% of the data in the tails, i.e., P( |Z| > z) = α sx is the sample standard deviation n is the sample size
 
We need only to concern ourselves with the error term of the CI, In order to find the sample size needed for a confidence interval of a given size.

z * sx / sqrt(n) = width. 

so the z-score for the confidence interval of .98 is the value of z such that 0.01 is in each tail of the distribution. z = 2.326348 

The equation we need to solve is:
z * sx / sqrt(n) = width 
n = (z * sx / width) ^ 2. 
n = ( 2.326348 * 6 / 3 ) ^ 2 
n = 21.64758 

Since n must be integer valued we need to take the ceiling of this solution.
n = 22 
7 0
3 years ago
The probability distribution of the amount of memory X (GB) in a purchased flash drive is given below. x 1 2 4 8 16 p(x) .05 .10
Rama09 [41]

Answer:

a) E(X) = 6.45

b) E(X^{2} )= 57.25

c) V(X) = 15.648

d) E(3X + 2) = 21.35

e) E(3X^{2} +2) = 173.75

f) V(3X+2) = 140.832

g) E(X+1) = 7.45

h) V(X+1) = 15.648

Step-by-step explanation:

a) E(X) = \sum xP(x)

E(X) = (1*0.05) + (2*0.10) + (4*0.35) + (8*0.40) + (16*0.10)\\E(X) = 6.45

b)

E(X^{2} ) = (1^{2} *0.05) + (2^{2} *0.10) + (4^{2} *0.35) + (8^{2} *0.40) + (16^{2} *0.10)\\  E(X^{2} )= 57.25

c)

V(X) = E(X^{2} ) - (E(X))^{2} \\V(X) = 57.25 - 6.45^{2} \\V(X) = 15.648

d)

E(3X+2) = 3E(X) + 2\\E(3X+2) = (3*6.45) + 2 \\E(3X+2) = 21.35

e)

E(3X^{2} +2) = 3E(X^{2} ) + 2\\E(3X^{2} +2) = (3*57.25) + 2 \\E(3X^{2} +2) = 173.75

f)

V(3X+2) = 3^{2} V(X)\\V(3X+2) = 9*15.648\\V(3X+2) = 140.832

g)

E(X+1) = E(X) + 1\\E(X+1) = 6.45 + 1\\E(X+1) =7.45

h)

V(X+1) = 1^{2} V(X)\\V(X+1) = 15.648

6 0
3 years ago
Find the solution set of x+3>19-3x, where x is a real number ​
il63 [147K]

Answer:

x>4

Step-by-step explanation:

x+3>19-3x

x+3x>19-3

4x>16

x>4

7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=3%20%7Bx%7D%5E%7B2%7D%20%20-%205x%20%3D%202" id="TexFormula1" title="3 {x}^{2} - 5x = 2" alt=
Brut [27]

<h3><u>☁ Problem:</u></h3>

3x^2-5x=2

<h3 /><h3><u>☁ Answer:</u></h3><h3>x=2</h3><h3 /><h3><u>☁ Solution:</u></h3><h3>3x^2-5x=2</h3><h3>3x2-5x-2=2-2</h3><h3>(3x+1)(x-2)=0</h3><h3>3x+1=0</h3><h3>x=2</h3><h3 /><h3>☁ 좋은 하루 되세요!! ☁ </h3>

<h2>-HunnyPeachy</h2>

7 0
3 years ago
2) Which expression is equivalent to:<br> y•y3•y2
Nastasia [14]

Answer:

y^6

Step-by-step explanation:

When multiplying terms with exponents that have the same base, the rule is to add the exponents. y * y^3 * y^2 = y^(1 + 3 + 2). (remember that y has a hidden exponent of 1, we just don't write that because it is redundant and unnecessary). y^(1 + 3 + 2) = y^6

hope this helps! <3

3 0
1 year ago
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