Answer:
9 percent of 578 is 52.02.
Step-by-step explanation:
578/x=100/9
(578/x)*x=(100/9)*x - we multiply both sides of the equation by x
578=11.111111111111*x - we divide both sides of the equation by (11.111111111111) to get x
578/11.111111111111=x
52.02=x
x=52.02
Answer:
The sequence of transformation used to map ABC onto A"B"C" is reflection, then rotation, then translation.
Step-by-step explanation:
To map ABC onto A"B"C" steps are:
step 1: Reflection of ABC
step 2: rotation of A'BC by some angle to obtain A'B'C'.
step 3: translation of A'B'C' by some units to the right to obtain the given transformation A"B"C".
Answer:
Probability that at most 50 seals were observed during a randomly chosen survey is 0.0516.
Step-by-step explanation:
We are given that Scientists conducted aerial surveys of a seal sanctuary and recorded the number x of seals they observed during each survey.
The numbers of seals observed were normally distributed with a mean of 73 seals and a standard deviation of 14.1 seals.
Let X = <u><em>numbers of seals observed</em></u>
The z score probability distribution for normal distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean numbers of seals = 73
= standard deviation = 14.1
Now, the probability that at most 50 seals were observed during a randomly chosen survey is given by = P(X 
50 seals)
P(X 50) = P( 
) = P(Z -1.63) = 1 - P(Z < 1.63)
= 1 - 0.94845 = <u>0.0516</u>
The above probability is calculated by looking at the value of x = 1.63 in the z table which has an area of 0.94845.
Answer: point estimate = 3.88
Margin of error = 0.63
Step-by-step explanation:
Confidence interval is written in the form,
(Point estimate - margin of error, Point estimate + margin of error)
The sample mean, x is the point estimate for the population mean. Let m represent the margin of error. Since the confidence interval is given as (3.25 , 4.51), it means that
x - m = 3.25
x + m = 4.51
Adding both equations, it becomes
2x = 7.76
x = 7.76/2
x = 3.88
Substituting x = 3.88 into x + m = 4.51, it becomes
3.88 + m = 4.51
m = 4.51 - 3.88
m = 0.63
