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3 years ago

Solve for the variable: 2x - 28 = 16

Mathematics

2 answers:

Firlakuza [10]3 years ago

7 0

Let's solve your equation step-by-step.

2x−28=16

Step 1: Add 28 to both sides.

2x−28+28=16+28

2x=44

Step 2: Divide both sides by 2.

2x/2=44/2

x=22

Answer: x=22

svlad2 [7]3 years ago

4 0

2x = 44
44/2 = x
X= 22

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Rolling a Red and Yellow Dice

grandymaker [24]

Answer:

Option C 5/12 is correct option

Step-by-step explanation:

We have to find the probability that shows yellow dice has a larger value than the red dice.

Probability= total no of favorable outcomes / total no of outcomes

in our case, considering the data set, we have to find those pair where value of yellow die is greater than the red die. Where (1,2) represents 1 on the red die and 2 on the yellow die

(1,2) (1,3) (1,4) (1,5) (1,6)

(2,3) (2,4) (2,5) (2,6)

(3,4) (3,5) (3,6)

(4,5) (4,6)

(5,6)

These are the possibilities where yellow die has greater value than red die.

total no of favorable outcomes = 15

total no of outcomes = 36

probability that yellow die has greater value than red die = 15 / 36

= 5/ 12

Option C 5/12 is correct option

3 0

3 years ago

4 to the 8th power divided by 4 to the 5th power

Natasha2012 [34]

Alright, 4 to the 8th power is 4x4x4x4x4x4x4x4 which ends up as 65,536.

4 to the 5th power is the same thing but with 5 4's and that is 1,024.

All you need to do now is 65,536/1,024 = 64.

Solved! :D

6 0

3 years ago

If the distribution is really N ( 5.43 , 0.54 ) , N(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05?

Ipatiy [6.2K]

Answer:

$P(X$

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable of interest for a population, and for this case we know the distribution for X is given by:

$X \sim N(5.43,0.54)$