6a. y=-8(x-10)²
6b. y=(.15)(x+6)²
Answer:
Step-by-step explanation:
Have a nice day
Answer:
a) The mean is 0.15 and the standard error is 0.056.
b) 1. Yes
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For proportions p, in samples of size n, the mean is and the standard error is . The Central Limit Theorem applies is np > 5 and np(1-p)>5.
In this question:
So
(a) Find the mean and the standard error of the distribution of sample proportions.
So the mean is 0.15 and the standard error is 0.056.
(b) Is the sample size large enough for the Central Limit Theorem to apply?
np = 40*0.15 = 6 > 5
np(1-p) = 40*0.15*0.85 = 5.1>5
So yes
J is the answer because 1/8 of the houses is 5 2/5 of 40 is 16 and 16 +5 =21 40-21 =19
Answer:
∠MEJ=25°
Step-by-step explanation:
step 1
Find the value of x
we know that
arc LJ+arc KM+arc KL+arc MJ=360° ----> complete circle
substitute the values
(4x+50)°+6x°+(x+10)°+4x°=360°
solve for x
(15x+60)°=360°
x=300°/15=20°
step 2
Find the measure of angle MEJ
we know that
The measurement of the external angle is the semi-difference of the arcs which comprises
∠MEJ=(1/2)[arc MJ-arc KL]
arc MJ=4(20°)=80°
arc KL=20°+10°=30°
substitute the values
∠MEJ=(1/2)[80°-30°]=25°