Answer:
Sample size should be atleast 617
Step-by-step explanation:
given that a 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit.
i.e. margin of error <0.3
Std devition sample = 3.8
For 95% assuming sample size large we can use z critical value
Z critical = 1.96
we have
Sample size should be atleast 617 to get an accurate margin of error 0.3
Answer: P = 0.125 = 1/8
Step-by-step explanation:
We know that he has a blue coat and a black coat.
If he dresses at random, then the probability of getting the blue coat is equal to the quotient between the number of blue coats (1) and the total number of coats (2).
Then the probability is:
p = 1/2
We also know that he has blue pants and brown pants, the probability of getting at random the blue pants is calculated in the same way than above, then:
q = 1/2
And for the shirt he has a blue shirt and a red one, the probability of randomly selecting the blue one is calculated in the same way than above, then:
k = 1/2
Now, the joint probability (he selects all blue clothes) is equal to the product of the individual probabilities:
P = p*q*k = (1/2)*(1/2)*(1/2) = 1/8 = 0.125
is the expression that includes an exponent and has a value of 8
<em><u>Solution:</u></em>
Given that, Use the number 8, 6, and 2 and one operation to write an expression that includes an exponent and has a value of 8
We have to use each number only once
Given numbers are 8, 6, 2
Our expression should include exponent and the result should be 8
Among 6 and 2 we can use 2 for exponent
Raise 2 to power of 1
<em><u>The expression becomes:</u></em>
Here we have used one operation, that is addition
Verifying the expression
Thus the required expression is found
1.
25%
.3 + .2 + .15 + .1 = .75
1.00 - .75 = .25
2.
120 students
There are 400 total students
.3 * 400 = 120
4.
tennis-
.1 * 400 = 40 students prefer tennis
football-
.25 * 400 = 100 students prefer football
140 students like football/tennis
5.
400 students
There are four quarters in a whole
.25% = 100
100 * 4 = 400
Solving a system of equations we can see:
- Sutopa has $73.20
- Maneet has $97.60
- Kim has $115.60
<h3>
How much money each of them has?</h3>
First, let's define the variables:
- S = money that Sutopa has.
- M = money that Maneet has.
- K = money that Kim has.
We can write the system of equations:
S = (3/4)*M
M = K - $18
S + M + K = $286.40
First, we can rewrite the second equation to get:
K = M + $18
Now we can replace the first and second equations into the third one:
(3/4)*M + M + (M + $18) = $286.40
Now we can solve this for M:
M*(1 + 1 + 3/4) = $286.40 - $18
M = $268.40*(4/11) = $97.60
Now we can find the other two values:
K = M + $18 = $97.60 + $18 = $115.60
S = (3/4)*M = (3/4)*$97.60 = $73.20
If you want to learn more about systems of equations:
brainly.com/question/13729904
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