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konstantin123 [22]
3 years ago
9

When Adrian commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 24 minutes and a

standard deviation of 3.5 minutes. Using the empirical rule, determine the interval that represents the middle 99.7% of his commute times.
Mathematics
1 answer:
Annette [7]3 years ago
4 0

Answer:

(13.5, 34.5)

Step-by-step explanation:

The empirical rule states that for a normal distribution, the data will fall within three standard deviations of the mean.  68% of the data falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

Given that mean (µ) = 24 and standard deviation (σ) = 3.5

Using empirical rule, the interval that represents the middle 99.7% = (µ ± 3σ) = (24 ± 3*3.5) = (13.5, 34.5)

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-25/J = 5<br> 16 + s = -90<br> 13 + t = 51<br> r/10 = (-6)<br> a + -12 =45
alexandr1967 [171]

we conclude that the solution for the given algebraic expressions are:

  • J = -5
  • s = -106
  • t = 38
  • r = -60
  • a = 57

<h3>How to solve these algebraic expressions?</h3>

Here we have some simple algebraic expressions:

The first one is:

-25/J = 5

We want to solve this for J.

Remember that we can perform the same operation in both sides of the equation, then we cans tart by multiplying both sides by J.

(-25/J)*J = 5*J

-25 = 5*J

Now we can divide both sides by 5, so we isolate J:

(-25)/5 = (5*J)/5

-5 = J

We conclude that the solution is J = -5.

Now, similarly for the other equations we have that:

16 + s = -90

Here we subtract 16 in both sides:

s = -90 - 16 = -106

13 + t = 51

Here we subtract 13 in both sides:

t = 51 - 13 = 38

r/10 = (-6)

Here we multiply both sides by 10:

r = (-6)*10 = -60

a + (-12) = 45

Here we add 12 in both sides:

a = 45 + 12 = 57

Then we conclude that the solution for the given algebraic expressions are:

  • J = -5
  • s = -106
  • t = 38
  • r = -60
  • a = 57

If you want to learn more about algebraic expressions:

brainly.com/question/4344214

#SPJ1

6 0
2 years ago
Which pair of equations represents two perpendicular lines? <br>answers shown in picture. ​
kolezko [41]

Answer:

y =1/2x+6

y = -2x+2

Step-by-step explanation:

Perpendicular line have slopes that multiply to -1

The slopes are negative reciprocals

-4*4 = 16  not perpendicular

1/2 * -2 = -1  perpendicular

1/5 *5 = 1  not perpendicular

2/3 * 2/3 = 4/9  not perpendicular

3 0
4 years ago
Find the product of 918.642 and 1/10​
SCORPION-xisa [38]

91.8642; multiplying by 1/10 is the same as dividing by 10. To divide a number by 10, you just move the decimal point one place to the left.

5 0
3 years ago
Read 2 more answers
What is the Measure of JL ? 70
Ede4ka [16]
Where is the picture

5 0
3 years ago
Does anybody know how to solve the equation f(x)=-5/9(3)+b?
3241004551 [841]

Substitute either set of points into the equation:

(3, -1) and (-6,-4)

-1= -5/9(3)+b

-1= -15/9+b

-1+5/3= -5/3 +5/3 +b

2/3=b

So,

f(x)= -5/9 (x) + 2/3


4 0
3 years ago
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