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marshall27 [118]
3 years ago
15

What expression is equivalent to 12 - 1/2(x + 12)

Mathematics
1 answer:
lyudmila [28]3 years ago
7 0
Distribute the -1/2 to both x and 12

-1/2(x) = -1/2x
-1/2(12) = -6

12 -  (-1/2x) - 6

Simplify: Note, two negatives = one positive

12 + 1/2x - 6

Simplify: combine common numbers together

12 - 6 + 1/2x

6 + 1/2x


1/2x + 6 is your equivalent expression


hope this helps
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Six different colored dice are rolled. Of interest is the number of dice that show a one. In words, define the random variable X
olga nikolaevna [1]

Answer:

Step-by-step explanation:

Six dice (each of a different color) are rolled. Since the number of times the 6 dice were rolled isn't stated, take it to be 1.

Hence, 6 dice are rolled at once for this experiment.

Of interest is the number of dice that show a "one". In other words, the variable in question (X) is:

The number of dots that show on the upward face of the rolled dice.

The values that X may take on are:

1  2  3  4  5  6

On average, how many dice would you expect to show a one?

One die.

How is this gotten? By finding the probability that a one or one dot appears when the 6 dice are rolled at once. Since there are 6 dice in number, and each die has the same 6 faces containing dots, the probability of getting a one is 1/6. In this case, one out of 6 dice is expected to show one dot.

Find the probability that all six dice show a dot in just one toss.

Logically, this probability is going to be very small! It is almost impossible for all 6 dice to land on the same face in just a single toss. In other words, expect many decimal places in the probability figure.

1/6 divided by 6  = 0.167/6  = 0.028 approximated to three decimal places.

This would also represent the probability that 2 dots, 3 dots, or any other number of dots appears on all dice in one toss!

Is it more likely (in this experiment) that 3 or 4 dice will show a one (a single dot)?

The answer is yes! It is more likely that 3 or 4 dice (instead of all 6) will show a one or will show the same number of dots.

Kudos!

7 0
3 years ago
0.0000056 rewritten as a single digit<br> times a power of ten becomes:
Masteriza [31]

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3 0
3 years ago
A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If th
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Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

\mathbf{H_o:} the population correlation coefficient is equal to zero

\mathbf{H_a:} the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }

t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }

t =\dfrac{0.60 *4.796} {0.8}

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Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

6 0
3 years ago
Y = -2 x - 5 what is the answer help
blondinia [14]

Answer:

x = -5/2

Step-by-step explanation:

0 = -2x - 5

2x = -5

Divide^

x = -5/2

Hope this helped

Brainliest is appreicated./

7 0
2 years ago
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