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Vesna [10]
3 years ago
13

You and 19 other people are entered in a drawing. One person will be randomly selected to win a prize. What is the probability t

hat you will win the prize?
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
4 0

Answer:

5%

Step-by-step explanation:

1 person will be selected out of a total of 20 (you + 19)

The probability is 1/20 = 0.05 = 5%

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Consider the pair of angles given in the first column. Use the following answers to identify each angle.
Vikki [24]

<4 and <2  corresponding angles

<6 and <3  alternate interior angles

<4 and <5 alternate exterior angles

<6 and <7 interior angles on the same side of transversal

3 0
3 years ago
Find the measure of angle FED and DEN. Thx!!!! :)
Katena32 [7]

Answer:

m<FED=60, m<DEN=120

Step-by-step explanation:

m<FED=60

This is because <GEN and <FED are vertical angles.

Vertical angles are always congruent.

Vertical angles are formed by a pair of intersecting lines, and are the angles directly across from one another.

m<DEN=120

This is because <DEN and <GEN are supplementary.

Supplementary angles add up to 180 degrees.

We know this because a straight line is always 180 degrees.

So:

m<DEN+m<GEN=180

m<DEN+60=180

m<DEN=120

6 0
3 years ago
A recent study of 26 city residents showed that the time they had lived at their present address has a mean of 10.3 years with t
svetlana [45]

Answer:

The 95% confidence interval is  9.15<  \mu < 11.45

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  26

      The mean is  \= x =  10.3

       The standard deviation is  s =  3

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

=>   E =  1.96 *  \frac{3}{\sqrt{26} }

=>   E = 1.1532

Generally 95% confidence interval is mathematically represented as  

      \= x -E <  \mu <  \=x  +E

=>   10.3  -1.1532 <  \mu < 10.3  +  1.1532

=>    9.15<  \mu < 11.45

7 0
3 years ago
Which is the equation of a line with a slope of -1/3 and a y-intercept at (0,1)?
Nutka1998 [239]

Answer:

The answer is

\huge \boxed{y =  -  \frac{1}{3}x + 1 }

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (0,1) and slope - 1/3

The equation is

y - 1 =  -  \frac{1}{3}(x - 0) \\ y - 1 =  -  \frac{1}{3} x

We have the final answer as

y =  -  \frac{1}{3} x + 1 \\

Hope this helps you

4 0
3 years ago
Read 2 more answers
A sales person at a furniture store is a 3% commission on ourselves how much commission does the sales person earn on a 1400$ sa
elena-14-01-66 [18.8K]

The sales person is making 3% so, we would simply multiply $1400 by .03

1400*.03

=$42

They made $42 dollars on a $1400 sale, pretty lousy if you ask me.

7 0
3 years ago
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