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2 years ago

10

4x-

dle" class="latex-formula"> + 5x

1 answer:

Delvig [45]2 years ago

6 0

The answer most likely is 9

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Segments DF, DH, and GF are tangent to the circle. Andrew was asked to find DF. Explain andrew's error.

ANEK [815]

Answer:

DF = 14

Step-by-step explanation:

Andrew was wrong in the assumption that DE = EF

Segments of tangents to a circle from the same external point are congruent

That is

EF = FG = 8

Then

DF = DE + EF = 6 + 8 = 14

5 0

2 years ago

You throw two four-sided dice. Let the random variable X represent the maximum value of the two dice. Compute E(X). Round your a

Troyanec [42]

Answer:

E(X)=3.125

Step-by-step explanation:

We are given that two four sided dice.

Then , the sample space

{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)}

Total number of outcomes=16

Let the random variable X represent the maximum value of the two dice

Outcomes X P(X)

(1,1) 1 1/16

(1,2),(2,1),(2,2) 2 3/16

(1,3),(2,3),(3,1),(3,2),(3,3) 3 5/16

(1,4),(3,4) ,(2,4),(4,1),(4,2),(4,3),(4,4) 4 7/16

Using the probability formula

$P(E)=\frac{Favorable\;outcomes}{Total\;number\;of\;outcomes}$

Now,

$E(X)=\sum_{i=1}^{n}x_iP(x_i)$

$E(x)=1(1/16)+2(3/16)+3(5/16)+4(7/16)$

$E(x)=\frac{1+6+15+28}{16}$

$E(x)=\frac{50}{16}=3.125$

7 0

3 years ago

Taka conducts an experiment where he rolls a number cube, with sides labeled from 1 to 6, and then flips a coin. This table show

sweet [91]

The experimental probability is 1/6, and the theoretical probability is 1/4. The theoretical probability is greater than the experimental probability in this trial.-------------------Explanation:
Theoretical probability is the mathematically calculated probability of the circumstances occurring.
There is a 1/2 chance of rolling an even number, and a 1/2 chance of flipping a coin on heads.
Since the question asks for the possibility of both happening, multiply those together to find the probability:

The theoretical probability of rolling an even number and then flipping a head is 1/4.
Now we'll focus on Taka's trials.
Experimental probability is the probability that is taken from results of a trial.
Take the results, and see if they match the criteria of rolling an even number and flipping heads.
The results that are bolded fit the criteria:1 H, 4 T, 1 H, 5 T, 2 H, 3 T, 6 T, 2 H, 3 T, 5 T, 3 H, 4 T
Taka managed to roll and flip the coin to fit the criteria 2 times out of 12. Converted into a fraction, it is 2/12. Simplified, the experimental probability is 1/6

7 0

3 years ago

Find the slope and the y-intercept of the graph of the linear equation.<br><br> y = 6x

Snowcat [4.5K]

Y-intercept=0
slope=6/1

hope this helps

4 0

3 years ago

If a person is paid $430 for 25 hours of work, what is the person’s hourly wage?

astraxan [27]

So you need to divide 430 into 25 to get 17.2
So he/she earns $17.20 an hour or in word format :seventeen dollars and twenty cents and hour

5 0

3 years ago