Answer: 1692
Step-by-step explanation:
Formula to find the sample size :

Given : Confidence level : 
⇒ significance level =
z-value for 90% confidence interval (using z-table)=
Prior estimate of the population proportion (p) of customers who keep up with regular vehicle maintenance is unknown.
Let we take p= 0.5
Margin of error : E= 2%=0.02
Now, the required sample size will be :

Simplify , we get

Hence, the required sample size = 1692
35.99 ROUND IT OFF TO 36.00 SO THAT MEANS HE PAID 163.99
199.99X 18/100
3599.85/100
36
Answer:
C. y = 2 (x + 3)³ − 4
Step-by-step explanation:
y = x³
Stretch vertically by 2.
y = 2x³
Shift horizontally 3 units to the left.
y = 2 (x + 3)³
Shift vertically 4 units down.
y = 2 (x + 3)³ − 4
Answer:
FALSE
Step-by-step explanation:
In order to be consistent with the system of unit we should decide if we are going to work with the CGS system <em>(centimeter-gram-second)</em> or the MKS system <em>(meter-kilogram-second).
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If we decide to work with the CGS system, the equation of motion would be
8,000x ′′ + 2x = 0; x(0) = 3, x ′ (0) = 0
since 1 Kg = 1,000 g
If we decide to work with the MKS system, the equation of motion would be
8x ′′ + 2x = 0; x(0) = 0.03, x ′ (0) = 0
given that 1 mt = 100 cm
It will take 6 years for the trees to have same height.
Step-by-step explanation:
Type A tree;
Initial height = 9 feet
We will convert feet into inches because growth is in inches.
1 feet = 12 inches
9 feet = 12*9 = 108 inches
Growth rate = 6 inches per year
Let,
x be the number of years.
A(x) = 108 + 6x
Type B;
Initial height = 4 feet = 4*12 = 48 inches
Growth rate = 16 inches per year
B(x) = 48 + 16x
The height will be same, when functions are equal
A(x) = B(x)

Dividing both sides by 6

It will take 6 years for the trees to have same height.
Keywords: function, division
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