Determine whether the quadrilateral is a parallelogram using the indicated method

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

What is the radical expression that is equivalent to the expression

puteri [66]

Hello from MrBillDoesMath!

Answer:

fourthroot(35)

Discussion:

The question is a bit unclear as to the desired answer.... but here goes!

(35)^1/4 is the fourth root of 35, that is, symbolically, fourthroot(35).

Note the fourth root of a number is the same as the square root of the square root of the number.

Regards,

MrB

P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

6 0

2 years ago

What is 3/4 divided by 1/4

Over [174]

Answer:

3

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

the formula y-y1 =m(x-x1) is the pot slope form of the equation of a line where m is the slope of the line and(x,y) and (x1,y1)

oksano4ka [1.4K]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ 4}} &,&{{ -2}}~) 
% (c,d)
&&(~{{ 5}} &,&{{ 0}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{5-(-2)}{0-4}\implies \cfrac{5+2}{0-4}\implies -\cfrac{7}{4}$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-2)=-\cfrac{7}{4}(x-4)
\\\\\\
y+2=-\cfrac{7}{4}(x-4)\implies y+2=-\cfrac{7}{4}x+7\implies y=-\cfrac{7}{4}x+9$

6 0

3 years ago

I WILL MARK BRAINLIEST!!!! An underground mine elevator descends 12% of the total depth every minute. The total depth of the ele

Dahasolnce [82]

Answer:

after 1 Min it's -9

after 2 mins it's -1.08

Step-by-step explanation:

12% X 75 = 9

12% X 9 = 1.08

3 0

3 years ago

Read 2 more answers

Determine whether the quadrilateral is a parallelogram using the indicated method​

Determine whether the quadrilateral is a parallelogram using the indicated method