Answer:
We Do not have enough evidence
Step-by-step explanation:
H0 : σ² ≤ 1.1
H0 : σ² > 1.1
The test statistic (X²) :
χ² = [(n - 1) × s²] ÷ σ²
n = sample size, = 20
s² = 1.6
σ² = 1.1
α = 0.01
χ² = (19 * 1.6) / 1.1
χ² = 27.64
Pvalue :
Using the Pvalue from Chisquare score calculator ; χ² = 27.64 ; df = 19
Pvalue = 0.091
If Pvalue < α ; Reject H0
0.091 > 0.01
Hence, Pvalue > α ; Thus we fail to reject H0.
We thus conclude that, we do not have enough evidence to support the claim that her standard deviation is greater than the target.
Answer:
x=-3
Step-by-step explanation:
The quadratic function determines the parabola which has the vertex at point (-3,5). The axis of symmetry passes through the vertex and is parallel to the y-axis. Hence, its equation is x=-3 (see attached diagram).
The factors are
(m-6)(m+6)
Explanation:
Group the first two terms and factor out the common factor:
i.e m(m-6)
Repeat the procedure for terms 3 and 4.
6(m-6)
Regrouping:
m(m-6)+6(m-6)
On factoring out (m-6), we get:
(m-6)(m+6)
Answer and Step-by-step explanation:
a - b = 2
=
b = a - 2
a = b + 2
______________
b = b + 2 - 2
b = b
______________
______________
a = a - 2 + 2
a = a
______________
If a equals 0, then the expression is undefined.
If b = 0, then the expression is 0.
There are infinite number of solutions when a is not 0 and the numbers are positive.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Tn=n/2^(n+1)
<span><span>t<span>n+1</span></span>=(n+1)/<span>2<span>n+2</span></span>=n/<span>2<span>n+2</span></span>+1/<span>2<span>n+2</span></span></span>
<span><span>t<span>n+1</span></span>=<span>tn</span>/2+1/<span>2<span>n+2</span></span></span>
t2=t1/2+1/2^3
t3=t2/2+1/2^4
.
.
.
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adding Sn-t1=Sn/2 +(1/2^3+1/2^4+.........)
Sn/2=t1+(1/2^3+1/2^4....)
Sn/2=1/4+(1/2^3)(1/(1-1/2))
=1/4+1/4
Sn=1