Answer:
The price of pretzels in 1975 = $1.80
Step-by-step explanation:
To answer this question we are assuming the steady rate means linear.Let x be the year and y be the price.
We need to find the slope
m = (y2-y1)/(x2-x1)
= (4.80-4.05)/(2015-2005)
=.75/10
= .075
The slope is .075
We can use the point slope form of the equation
y-y1 = m(x-x1)
y-4.80 = .075(x-2015)
Distribute
y - 4.80 = .075x -151.125
Add 4.80 to each side
y - 4.80+4.80 = .075x -151.125+4.80
y = .075 x - 146.325
We want to find out how much pretzels were in 1975. Put in x=1975
y = .075(1975) -146.325
y = 148.125-146.325
y=1.80
Answer:
<h2>76904685 ways</h2>
Step-by-step explanation:
Given data
the number of students n=40
the number of groups r= 8
We are going to use the combination approach to solve the problem
nCr= n!/r!(n-r)!
substituting into the expression for the number of ways we have
40C8= 40!/8!(40-8)!
nCr= 40!/8!(32)!
nCr= 40!/8!(32)!
nCr= 40*39*38*37*36*35*34*33*32!/8!(32)!
nCr= 40*39*38*37*36*35*34*33*/8!
nCr= 40*39*38*37*36*35*34*33*/8*7*6*5*4*3*2
nCr= 3100796899200/40320
nCr=76904685 ways
Answer:
Z=2.36
P=0.0091
Step-by-step explanation:
The hypothesis is:
π > 0.55 which is the population proportion
The formula to get the test statistic is
Zstat = P-π/√π(1-π)/n
P =507.4/860 = 0.59 (sample proportion )
n =860 (sample size)
π =0.55(population porportion)
Zstat = 0.59-0.55/√0.55(1-0.55)/860
Zstat =2.36
From Z table the probability of Z score of 2.36 is 0.9909
To calculate for P- value will then be
P= 1 - 0.9909
P= 0.0091
Answer:
110%
Step-by-step explanation:
just divide by 2
20/2 = 10
22/2 = 11
so x% of 10 = 11
1.10 just like the last problem
110%
In this question, the volume of the cone is needed. The equation used to determine the volume of the cone is (1/3)π(r²)h
To solve for the volume,
V = (1/3)π(3²)(10)
= (1/3)(9)(10)π
= (3)(10)π
= 30π cm³
The correct answer is the first option which is 30π cm³.
