Answer:
Step-by-step explanation:
Hypotheses:
(Left tailed test)
p = sample proportion
n = sample size = 200
Sample proportion = p = 73/200 = 0.365
Std error = 0.03404
p difference = 0.365-0.39 = 0.025
t = 0.025/se = 0.7344
df = 199
p value = 0.2317
Since p >0.05 accept null hypothesis
No,the veterinarian does not have a right to be skeptical because there is no statistical evidence to support his claim.
<span>–(2n + 4) + 6 = –9 + 4(2n + 1)
-2n - 4 + 6 = - 9 + 4*2n + 4*1
</span>
<span>-2n - 4 + 6 = - 9 + 8n + 4
Take all the n's to one side and numbers to the other side. Sign changes to + or - when equality sign is crossed to other side of equation.
</span>
<span>-2n - 8n = - 9 + 4 + 4 -6
-10n = -7
n = -7/-10
n = 7/10 or 0.7
</span>
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
The polynomial <span>3x2y2 − 5xy2 − 3x2y2 + 2x2 can be simplified by combining like terms.
The result is:
-5xy2 + 2x2
The polynomial is
a binomial (2 terms),
the degrees is 3
the highest order in x is 2 and the highest order in y is 2.</span>
The additive inverse of a complex z is a complex number
so that
Finding
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Tags: <em>complex number additive inverse opposite algebra</em>
