Answer:
The mean is usual
Step-by-step explanation:
We have that the mean (m) is equal to 21, the standard deviation (sd) = 1.31 and the sample size (n) = 64
They ask us for P (x <20.5)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (20.5 - 21) / (1.31 / (64 ^ 1/2))
z = -3.05
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <-3.05) = 0.0002
The mean is usual because P (x> 20.5) = 1 - P (x <20.5) = 1 - 0.0002 = 0.9998 is a fairly high probability.
X = 7.............................
Answer:
JK≅MN, KL≅NO and ∠K≅∠N
Step-by-step explanation:
we know that
A Reflection is a transformation that doesn't change the size or shape of the figure
so
Triangle JKL and triangle MNO are congruent
The corresponding sides and the corresponding angles are congruent
therefore
JK≅MN, KL≅NO,JL≅MO
and
∠J≅∠M, ∠K≅∠N,∠L≅∠O
Step-by-step explanation:
short hand radius = 4
distance travellled in 1 day revolution = 2πr= 2 x 22/7 x 4= 25.1cm (approx)
distance travellled in 2 day revolution= 25.1+ 25.1 = 50.2
long hand radius= 6
each hour 1 revolution by long hand so in 24 hr 24 revolutions and 48 he 48 revolution
distance travelled in 1 hr = 2πr= 2 x 22/7 x 6= 37.7
distance in 48hr = 37.7 x 48= 1809.6 (approx)
so sum of both= 1809.6 + 50.2 = 1859.8
Answer:12p+36>480
Step-by-step explanation: I got the answer somewhere else but I’m not 100% sure if it’s right
