Answer:
20
Step-by-step explanation:
The rectangle is 2 x 8.
2 + 2 + 8 + 8
P(<em>X</em> ≤ 65) = P((<em>X</em> - 79)/7 ≤ (65 - 79)/7) = P(<em>Z</em> ≤ -2)
where <em>Z</em> follows the standard normal distribution with mean 0 and standard deviation 1.
Recall that for any normal distribution with mean <em>µ</em> and s.d. <em>σ</em>, we have
P(|<em>X</em> - <em>µ</em>| ≤ 2<em>σ</em>) ≈ 0.95
which in the case of <em>Z</em> translates to
P(-2 ≤ <em>Z</em> ≤ 2) ≈ 0.95
Now,
P(-2 ≤ <em>Z</em>) + P(-2 ≤ <em>Z</em> ≤ 2) + P(<em>Z</em> ≥ 2) = 1
==> P(-2 ≤ <em>Z</em>) + P(<em>Z</em> ≥ 2) ≈ 0.05
Any normal distribution is symmetric about its mean, so P(-2 ≤ <em>Z</em>) = P(<em>Z</em> ≥ 2), and this gives us
==> 2 P(-2 ≤ <em>Z</em>) ≈ 0.05
==> P(-2 ≤ <em>Z</em>) ≈ 0.025
Answer:
C) 7 ft 4 in
Step-by-step explanation:
Shadows are assumed to be proportional to the height of the object casting them. Hence the brother's shadow will satisfy ...
shadow/(6 ft) = (5.5 ft)/(4.5 ft) = 11/9 . . . . . reduce the fraction
shadow = (6 ft) · (11/9) . . . . . . . . . . . . . . . . . multiply by 6 ft
shadow = 7 1/3 ft = 7 ft 4 in
Answer:
13.05 l
Step-by-step explanation:
For 12 liter of water 12/4 times 0.35 l concentrate has to be added.
The total liquid volume is then
12 + 12/4 * 0.35 = 13.05
(1 cl = 0.01 l)
All we need to do is find 65% of 75
we need to know that 65% = 0.65
and we multiply 0.65 and 75
soooo
75 x 0.65 = 48.75
so she sould expect to make about 48 shots into the hoop
hope this helps:)
and dont forget 2
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