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Dmitry [639]
3 years ago
11

The length of an instant message conversation is normally distributed with a mean of 5 minutes and a standard deviation of .7 mi

nutes. What is the probability that a conversation lasts longer than 6 minutes?
Mathematics
2 answers:
Charra [1.4K]3 years ago
7 0

The <em><u>correct answer</u></em> is:

0.0764

Explanation:

We will use a z-score to answer this.  The formula for a z-score is

z=\frac{X-\mu}{\sigma}, where μ is the mean and σ is the standard deviation.  Using our information in this problem, we have

z=\frac{6-5}{0.7}=\frac{1}{0.7}=1.43

Using a z-table, we look up the z-score 1.43.  The area under the curve to the left of, or less than, this value is 0.9236.  This means the probability that the time is greater than this is 1-0.9236 = 0.0764.

AVprozaik [17]3 years ago
3 0
The z-score for 6 minutes is:
z=\frac{X-\mu}{\sigma}=\frac{6-5}{0.7}=1.429
Reference to a standard normal distribution table gives the result:
P(length > 6) = 0.077
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Suppose you invest $1400 at interest rate of 4.3% compounded continuously. How much will you have in the account after 7 years?
STatiana [176]

\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1400\\ r=rate\to 4.3\%\to \frac{4.3}{100}\dotfill &0.043\\ t=years\dotfill &7 \end{cases} \\\\\\ A=1400e^{0.043\cdot 7}\implies A=1400e^{0.301}\implies A\approx 1891.69\implies \stackrel{\textit{rounded up}}{A=1892}

3 0
2 years ago
How to solve:<br> 8(2)-4<br>________<br>8÷4 ?
MissTica
So the first thing you do is dove the equations. Let's do the numerator equation. 8(2)-4 is simply saying 8•2-4 and i don't know if u learned this in class yet but you do multiplication and division before addition and subtraction so 8•2=16-4=12 so now 12 is our numerator. Now for the denominator, 8/4=2 so 2 is our denominator. We have 12/2 but it can be simplified to 6 because 6 goes into 12 twice and u cans check this by doing 6•2=12
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6 0
3 years ago
Read 2 more answers
Sa triangle has a base of 35cm and an area of 819 square centimeters. What is the height if the triangle?
snow_lady [41]
Height:   819/35= 23.4    

5 0
3 years ago
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Find the x and y intercepts<br> c) x + 3y - 12=0
mojhsa [17]
To get x intercept:
let y=0,x➖12=0,x=12
so x intercept point (12,0)
To get y intercept:
let x=0,3y➖12=0,y=4
so y intercept point (0,4)
7 0
2 years ago
Pls help I give brainliest
wel

Answer:

B

Step-by-step explanation:

it's (m+n-1) √p

hope this helps

4 0
2 years ago
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