Answer:
The probability that a family spends less than $410 per month
P( X < 410) = 0.1151
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given mean of the population = 500 </em>
<em>Given standard deviation of the Population = 75</em>
Let 'X' be the variable in normal distribution
<em>Given X = $410</em>
<em></em>
<em></em>
<u><em>Step(ii):-</em></u>
The probability that a family spends less than $410 per month
P( X < 410) = P( Z < - 1.2 )
= 0.5 - A( -1.2)
= 0.5 - A(1.2)
= 0.5 - 0.3849 ( ∵from normal table)
= 0.1151
<u>Final answer:-</u>
The probability that a family spends less than $410 per month
P( X < 410) = 0.1151
Answer: the product is = 33+4i
Step-by-step explanation:
21+4i-12i^2
21+4i-12(-1) i^2=-1
21+4i+12
your answer would be 33+4i .
Answer:
14. 780
16. 274
hopes this helps have a great night
Step-by-step explanation:
Using the normal distribution, it is found that there is a 0.1357 = 13.57% probability that the total amount paid for these second movies will exceed $15.00.
In a <em>normal distribution</em> with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- For n instances of a normal variable, the mean is
and the standard error is 
In this problem:
- Mean of $0.47, standard deviation $0.15, hence
- 30 instances, hence
The probability is <u>1 subtracted by the p-value of Z when X = 15</u>, hence:
Considering the n instances:
has a p-value of 0.8643.
1 - 0.8643 = 0.1357.
0.1357 = 13.57% probability that the total amount paid for these second movies will exceed $15.00.
A similar problem is given at brainly.com/question/25769446
The equation in which b varies directly as the <em>square</em> root of c is b = 50 · √c. (Correct choice: B)
<h3>What is the equation of the direct variation between two variables?</h3>
In this problem we have a case of <em>direct</em> variation between two variables, which is mathematically described by a <em>direct proportionality</em> model, whose form and characteristics are shown below:
b ∝ √c
b = k · √c (1)
Where k is the <em>proportionality</em> constant.
First, we determine the value of the constant of proportionality by substituting on b and c and clearing the variable: (b = 100, c = 4)
k = b / √c
k = 100 / √4
k = 100 / 2
k = 50
Then, the equation in which b varies directly as the <em>square</em> root of c is b = 50 · √c. (Correct choice: B)
To learn more on direct variation: brainly.com/question/14254277
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