Answer:
17
Step-by-step explanation:
angle one and angle three are equal to each other
so if you set the equations equal to each other
(4x+2)=( 5x-15)
move the 4x the right by subtracting it giving you 1x
then add 15 to 2 giving you 17
17=1x
3x^2+11x-4=10x-1
3x^2+11x-10x-4+1=0
3x^2+x-3=0
Δ=1^1-4*3*(-3)=1+36=37
x1=(-1+V37)/6
x2=( -1-V37)/6
Answer:
<em>The large sample n = 117.07</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the estimate error (M.E) = 0.08
The proportion (p) = 0.75
q =1-p = 1- 0.75 =0.25
Level of significance = 0.05
Z₀.₀₅ = 1.96≅ 2
<u><em>Step(ii):-</em></u>
The Marginal error is determined by
M.E = 

Cross multiplication , we get

√n = 
squaring on both sides , we get
n = 117.07
<u><em>Final answer:-</em></u>
<em>The large sample n = 117.07</em>
Answer:
c. The Mean of Normal Distribution is related to the average of the data set. The Standard deviation is related to data variation.
Step-by-step explanation:
(a) No, mean don't tell us how much the data deviate from the average, Standard deviation tells us. So, Option (a) is incorrect.
(b) No, mean is greatly affected by extreme values. But Median is good to measure central tendency when there is outlier present in data. So, Option (b) is also incorrect.
(c) Here Mean and Standard deviation are correctly defined. Hence, this is only the correct answer.
(d) No, It is the definition of mean not of Standard Deviation. So, this option is also incorrect.
Further, Mean is used to measure the central tendency of data which represents the whole data in the best way. It can be found as the ratio of the sum of all the observations to the total number of observations.
22.5 miles
You would create a proportion based on the given information, then cross multiply and solve for the number of miles 1 gallon of gas can go.