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Aloiza [94]
2 years ago
5

2. Eight cards are marked : (3,4,5,6,7,8,9,10), such that each card has

Mathematics
1 answer:
viva [34]2 years ago
6 0
2. Eight cards are marked : (3,4,5,6,7,8,9,10), such that each card has
exactly one of theses numbers. A card is picked without looking.
Determine the probability of choosing a number greater than 5. (decimal)
A .625
B 1.75
C .50
D .60



The answer is C.
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A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid
katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 865, \pi = \frac{408}{865} = 0.4717

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

6 0
3 years ago
Set Q contains 20 positive integer values. The smallest value in Set Q is a single digit value and the largest value in Set Q is
Lerok [7]

Answer: possible values of Range will be values that are >=91 or <=998

Step-by-step explanation:

Given that :

Set Q contains 20 positive integer values. The smallest value in Set Q is a single digit value and the largest value in Set Q is a three digit value.

Therefore,

given that the smallest value in set Q is a one digit number :

Then lower unit = 1, upper unit = 9( this represents the lowest and highest one digit number)

Also, the largest value in Set Q is a three digit value:

Then lower unit = 100, upper unit = 999 ( this represents the lowest and highest 3 digit numbers).

Therefore, the possible values of the range in SET Q:

The maximum possible range of the values in set Q = (Highest possible three digit value - lowest possible one digit) = (999 - 1) = 998

The least possible range of values in set Q = (lowest possible three digit value - highest possible one digit value) = (100 - 9) = 91

5 0
2 years ago
Convert the polar equation to rectangular form r=2/1+sin( theta)
Nataly_w [17]
r=\dfrac2{1+\sin\theta}
r+r\sin\theta=2
\implies \sqrt{x^2+y^2}+y=2
8 0
2 years ago
PLZ HELP 15 POINTS
Hatshy [7]

Answer:

  see attached

Step-by-step explanation:

It's almost easier for you to do this than it is to post a question on Brainly.

All you need to do is type the relevant expressions. Once you have Desmos show you the vertex, writing the x= equation for that is all that is required to draw it.

6 0
3 years ago
Given f(x)<br> 6x – 5<br> a) Evaluate f(5)<br> f(5)<br> b) Evaluate f( - 3)<br> f(-3) =
prisoha [69]
We have the equation f(x)=6x-5 to start with
Now in order to answer the question we have to know that f(5) is the same thing as setting x=5 and solving for f(5)

(A) f(5) = 6(5) - 5 = 30 - 5 = 25
(B) f(-3) = 6(-3) - 5 = (-18) - 5 = -23

So f(5) = 25 and f(-3) = -23
8 0
2 years ago
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