P ( A ) = 0.45 - probability that the land has oil,
P ( B ) = 0.8 - probability that the test predicts it
P ( A ∩ B ) = P ( A ) · P ( B ) = 0.45 · 0.8 = 0.36
Answer: The probability that the land has oil and the test predicts it is 36 %.
Answer:
2
Step-by-step explanation:
Use rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(6 + 6) / (2 + 4)
12/6
= 2
So, the rate of change is 2
<span>arccos (cos pi/2)=?
</span>cos pi/2=0, arccos (0)=?, we know that cos pi/2=0, so cos^-1 (o)= Pi/2, but cos^-1 (o)=arccos (0), so arccos (cos pi/2)=Pi/2
Answer:
37 polio vaccinations and 23 measles vaccination.
Step-by-step explanation:
Let the number of polio vaccination given=x
Let the number of measles vaccination given=y
Dr. Potter gave a total of 60 vaccinations
x+y=60
Since each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. A total of 184 doses was given out.
4x+2y=184
To find the values of x and y, we solve the two equations simultaneously.
x+y=60 (1)
4x+2y=184 (2)
From (1), x=60-y
Substitute x=60-y into equation 2.
4x+2y=184
4(60-y)+2y=184
240-4y+2y=184
240-184=4y-2y
56=2y
Divode both sides by 2
y=23
Recall earlier that x=60-y
x=60-23=37
Dr Potter gave 37 polio vaccinations and 23 measles vaccination.
Answer:
(5.216) mean = 61.71
(5.217) standard deviation = 8.88
(5.218) P(X>=60) = 0.9238
(5.129) L = 79, U = 69
(5.130) P(X> or = U) = 0.7058
Step-by-step explanation:
The table of the statistic is set up as shown in attachment.
(5.216) mean = summation of all X ÷ no of data.
mean = 432/7 = 61.71 birds
(5.217)Standard deviation = √ sum of the absolute value of difference of X from mean ÷ number of data
S = √ /X - mean/ ÷ 7
= √551.428/7
S = 8.88
(5.218) P (X> or = 60)
= P(Z> or =60 - 61.71/8.8 )
= P(Z>or= - 0.192)
= 1 - P(Z< or = 0.192)
= 1- 0.0762
= 0.9238
(5.219)the 15th percentile=15/100 × 7
15th percentile = 1.05
The value is the number in the first position and that is 79,
L= 79
85th percentile = 85/100 × 7 = 5.95
The value is the number in the 6th position, and that is 69
U = 69
5.130) P(X>or = 60)
= P(Z>or= 69 - 61.71/8.8)
= P(Z> or = 0.8208)
= 1 - P(Z< or = 0.8209)
= 1 - 0.2942
= 0.7058
