Answer:
n=65th term
Step-by-step explanation:
AP:3,15,27,39......
From the AP
a=3
a+d=15
a+2d=27
3+d=15 (1)
3+2d=27 (2)
Subtract (1) from (2)
We have,
2d-d=27-15
d=12
54th term=a+(n-1)d
=3+(54-1)12
=3+(53)12
=3+636
=639
The term is 132 more than the 54th term
132+54th term
=132+639
=771
Find the term
771=a+(n-1)d
771=3+(n-1)12
771-3=12n-12
768=12n-12
768+12=12n
780=12n
n=780/12
=65
n=12
The term which is 132 more than the 54th term is the 65th term
Answer:
The point estimate of the standard deviation for the population of NFL games is
Step-by-step explanation:
a) Develop a point estimate of mean fan rating for the population of NFL games
The point estimate is the mean of the sample.
The mean is the sum of the values divided by the number of values. There are 12 values, so:
The point estimate of mean fan rating for the population of NFL games is 60.08.
b. Develop a point estimate of the standard deviation for the population of NFL games (to 4 decimals).
This point estimate is the standard deviation of the sample.
The standrd deviation of a N-cardinality set is given by the following formula:
where is the element at the position k of the set and M is the mean of the set.
For this sample, we have that the standard deviation(using a calculator) is:
The point estimate of the standard deviation for the population of NFL games is
Answer:
a. What is the probability that the cost will be more than $450?
We are supposed to find P(x > 450)
Formula :
Refer the z table :
P(z<0.9431)=0.8264
P(z> 0.9431)=1-P(z<0.9431)=1- 0.8264= 0.1736
Hence the probability that the cost will be more than $450 is 0.1736
b)What is the probability that the cost will be less than $250?
We are supposed to find P(x<250)
Formula :
Refer the z table :
P(z<-1.3295)=0.0934
Hence the probability that the cost will be less than $250 is 0.0934
c)What is the probability that the cost will be between $250 and $450?
P(250<z<450)=P(z<450)-P(z<250) = 0.8264 - 0.0934 =0.733
Hence the probability that the cost will be between $250 and $450 is 0.733
d) If the cost for your car repair is in the lower 5% of automobile repair charges, what is your cost?
p = 0.05
refer the z table
z = -1.65
Formula :
Hence If the cost for your car repair is in the lower 5% of automobile repair charges, so, cost is $221.8
The image of the given polygon under a dilation with a scale factor of 1/3 about the center of dilation (0, 0) is A'(0, 0), B'(1, 2) and C'(-1, 1)
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are<em> reflection, translation, rotation and dilation.</em>
Rigid transformation is a transformation that preserves the shape and size of a figure such as<em> translation, reflection and rotation.</em>
Let us assume that the polygon has vertex at A(0, 0), B(3, 6) and C(-3, 3)
The image of the given polygon under a dilation with a scale factor of 1/3 about the center of dilation (0, 0) is A'(0, 0), B'(1, 2) and C'(-1, 1)
Find out more on transformation at: brainly.com/question/4289712
#SPJ1
Annual interest if someone deposits the money at the local savings account:
I 1 = 5,400 * 0.0149 = $80.46
Annual interest if someone deposits the money in an online savings account:
I 2 = 5,400 * 0.0444 = $239.76
I 2 - I 1 = $159.3
159.3 : 5 = 31.86
Answer:
You can make an ATM withdrawal 32 times in order for the local savings account to be better deal than the online savings account.