Answer: Starting with the graph of the basic function f(x)=x^3, horizontally shift the graph to the left one unit, and then reflect the graph about the y-axis.
Step-by-step explanation: took the test!!
Answer:
16π or 50.24
Step-by-step explanation:
Area of a circle is πr^2
π*4^2
16π
Answer:
8.2+/-0.25
= ( 7.95, 8.45) years
the 95% confidence interval (a,b) = (7.95, 8.45) years
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 8.2 years
Standard deviation r = 1.1 years
Number of samples n = 75
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
8.2+/-1.96(1.1/√75)
8.2+/-1.96(0.127017059221)
8.2+/-0.248953436074
8.2+/-0.25
= ( 7.95, 8.45)
Therefore the 95% confidence interval (a,b) = (7.95, 8.45) years
Answer:
1) 25%
2) 555.56
3) 10%
4) 700
Step-by-step explanation:
1) 35 is what percent of 140
This is calculated as:
35/140 × 100
= 25%
2) 250 is 45% of what number?
Let the number be represented as x
This is calculated as:
45% of x = 250
45/100 × x = 250
45x /100 = 250
Cross Multiply
45x = 250 × 100
x = 25000/45
x = 555.55555556
x = 555.56
3) 74 is what percent of 740?
Let the percentage be represented by x
x% × 740 = 74
Divide both side by 740
x% = 74/740
x% = 0.1
Converting to percentage
0.1 × 100 = 10%
4) 350 is 50% of what number?
Let the number the represented by x
This is calculated as:
50% of x = 350
50/100 × x = 350
50x /100 = 350
Cross Multiply
50x = 350 × 100
x = 35000/50
x = 700
x = 555.56
