Answer:
A, n = (8 - 7p)/m.
Step-by-step explanation:
mn + 7p = 8
mn = 8 - 7p
n = (8 - 7p)/m.
Answer:
Step-by-step explanation:
Given that:
The sample mean
The standard deviation = 9
Population mean = 20
Null hypothesis:
Alternative hypothesis:
(a)
When Sample size = 10
t = 1.0541
Degree of freedom df:
df = n -1
df = 10 - 1
df = 9
P(value) for t = 1.0541 at df = 9:
P(value) = P(Z > 1.0541)
P(value) = 1 - P(< 1.0541)
P(value) = 1 - 0.8403
P(value) = 0.1597
There is no enough evidence to infer at the 5% significance since p-value is greater than the level of significance.
(b) When sample size = 30
t = 1.8257
Degree of freedom df:
df = n -1
df = 30 - 1
df = 29
P(value) for t = 1.8257 at df = 29:
P(value) = P(Z > 0.9609)
P(value) = 1 - P(< 0.9609)
P(value) = 1 - 0.9609
P(value) = 0.0391
There is enough evidence to infer that the mean is greater than 20 at the 5% significance level as the p-value is less than the significance level.
(c) When sample size = 50
t = 2.3570
Degree of freedom df:
df = n -1
df = 50 - 1
df = 49
P(value) for t = 2.3570 at df = 49:
P(value) = P(Z > 0.9888)
P(value) = 1 - P(< 0.9888)
P(value) = 1 - 0.9888
P(value) = 0.0112
There is enough evidence to infer that the mean is greater than 20 at the 5% significance level as the p-value is less than the significance level.
Answer:
x = -1/2, 7
Step-by-step explanation:
2x^2 = 13x + 7
bring everything to one side: 2x^2 - 13x - 7 = 0
factor it out: 2x1 = 2 and -7x1 = -7.
-7x2 = -14 and 1x1 = 1
-14 + 1 = -13, so these numbers work
you end up with (2x + 1)(x - 7) = 0
<u>solve each section:</u>
2x + 1 = 0 x - 7 = 0
2x = -1 x = 7
x = -1/2
Answer:
207 cm
Step-by-step explanation:
Because ΔPQR ≅ΔSTU and the longest side in the ΔPQR is RP then the longest side in ΔSTU must be SU = 92 cm
Perimeter of triangle PQR is
P(ΔPQR) = 36+48+24 = 108 cm
Because the triangles are are similar their sides are in proportion.
But how much bigger did the second triangle get?...is (92/48) times bigger
P(ΔSTU) = 180*(92/48) = 207 cm
...you can also use proportions to find each side and then find the perimeter
TU = 24*92 /48 = 46
TS = 36*92/48 = 69
SU = 92
P(ΔSTU) = 92+69+46 =207 cm
*the triangles are not drawn to scale