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3 years ago

PLEASE HELP THIS IS DUE AT 11:59!!!

Mathematics

1 answer:

dezoksy [38]3 years ago

5 0

Answer:

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Step-by-step explanation:

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A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l

lesya692 [45]

Answer:

The probability that a call last between 4.2 and 4.9 minutes is 0.4599

Step-by-step explanation:

Let X be the length in minutes of a random phone call. X is a normal distribution with mean λ=4.2 and standard deviation σ=0.4. We want to know P(4.2 < X < 4.9). In order to make computations, we will use W, the standarization of X, given by the following formula

$W = \frac{X-\mu}{\sigma} = \frac{X-4.2}{0.4}$

We will use $\phi$ , the cummulative distribution function of W. The values of $\phi$ are well known and the can be found in the attached file

$P(4.2 < X < 4.9) = P(\frac{4.2-4.2}{0.4} < \frac{X-4.2}{0.4} < \frac{4.9-4.2}{0.4}) = P(0 < W < 1.75) = \\ \phi(1.75) - \phi(0) = 0.9599-0.5 = 0.4599$

We conclude that the probability that a call last between 4.2 and 4.9 minutes is 0.4599

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7 0

3 years ago

Write the equation of the line shown (3,6) (3,-4)

lozanna [386]

Answer:

The equation of line is given as $x=3$

Step-by-step explanation:

Point on the line given :

$(3,6),(3,-4)$

We can find the slope of the line first from the given points.

Slope $(m)=\frac{y_2-y_1}{x_2-x_1} = \frac{-4-6}{3-3}=\frac{-10}{0}=$ = Undefined.

The slope of the line is undefined which means that the line is parallel to y-axis.

From the points known to us we can tell that the line passes through $x=3$

∴ The equation of line is given as $x=3$

6 0

3 years ago

PLS HELP ME ON THIS PROBLEM ASAP THANK YOU :)

Fed [463]

Answer:

x= 14

Step-by-step explanation:

When the triangles are similar, they should have a similar ratio that makes one side equal to another. In this case, the ratio is 1.5 as 24 divided by 16 is 1.5. Now, taking the side that is "similar" to the x-value which is 21, we divided 21 by 1.5 resulting in x= 14.

8 0

2 years ago

Read 2 more answers

Look at the picture and help answer question 7 please

qwelly [4]

3pm we know this because 5^3= 125 so then we plug in numbers for the exponent in this case 6 which equals 15,625 now 9am plus 6 is 3pm

5 0

3 years ago

Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

8 0

3 years ago