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Ahat [919]
3 years ago
11

In slope-intercept form, what is the equation of a line perpendicular to y = 2x+ 7 that passes through the point (5, 8)?

Mathematics
1 answer:
Masja [62]3 years ago
4 0

Find slope as negative reciprocal of 2 => m=-1/2

y=mx + b

8=5(-1/2) +b

b=21/2

y= -1/2x +21/2

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The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 mont
navik [9.2K]

Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the parameters are given as follows:

\mu = 48, \sigma = 8, Z = -3.

Hence:

Z = \frac{X - \mu}{\sigma}

-3 = \frac{X - 48}{8}

X - 48 = -24

X = 24.

The life span of an appliance that has a z-score of –3 is of 24 months.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ4

6 0
1 year ago
Can someone pls help me​
Sophie [7]

Answer:

e

Step-by-step explanation:

If you divide 36 by 12, you get 3.

For this to work, whatever the white wax is, it needs to be 3 times as more as 5.

5x3=15

5 0
3 years ago
Read 2 more answers
Which triangles can have two sides of the same lenghth
grin007 [14]
The answer is Isosceles triangle
5 0
2 years ago
What is 3.2 x 10^-8 expressed as a decimal?
aniked [119]

Answer:

3.2MULTIPLY10-8

Step-by-step explanation:BECUASE THERE IS A NEGATIVE SENSE AND WHEN YOU PRESS YOUR CALACULTAOR U WILL SEE IT TRY IT IF DONT UNDERSTAND LET ME KNOW AGAIN THANKS

4 0
3 years ago
PLEASE HELP!!<br><br> what is the explicit formula for this sequence -7, -4, -1, 2, 5
trasher [3.6K]

Answer:

The explicit formula for the given expression is a_n=-10+3n.

Step-by-step explanation:

The given sequence is

-7, -4, -1, 2, 5

The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.

The first term of the given AP is -7 and the common difference is

-4-(-7)=-4+7=3

The explicit formula for an AP is

a_n=a+(n-1)d

Where, a is first term, d is common difference and n is number of terms.

Substitute a=-7 and d=3 in the above equation.

a_n=-7+(n-1)3

a_n=-7+3n-3

a_n=-10+3n

Therefore the explicit formula for the given expression is a_n=-10+3n.

6 0
3 years ago
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