<h3>
Answer:</h3><h3>x=−8</h3><h3 />
Step-by-step explanation:
<h3>Let's solve your equation step-by-step.</h3>
−3x+10=34
<h3>Step 1: Subtract 10 from both sides.</h3>
−3x+10−10=34−10
−3x=24
<h3>Step 2: Divide both sides by -3.</h3><h3 />
−3x/−3 = 24/−3
<h3>x=−8</h3>
Answer:
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
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 that represent the costs of services of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Answer:
2.5 x miles
Step-by-step explanation:
We are given that 1 light year ≈ 5.9 x miles so:
- 4.3 x 10² light year · <u>5.9 x </u><u> miles </u>
- 1 light year
Multiply 4.3 an 5.9 and round to 2 significant digits then add the exponents:
≈25 x
This is not the scientific notation since the number is not between 0 and 10 so we move the decimal point by 1 place to the left. We then add 1 to the exponent to obtain the final answer:
≈ 2.5 x miles