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2 years ago

Please help!

Mathematics

1 answer:

Andrei [34K]2 years ago

6 0

According to my calculations the theoretical answer about to be given is number c

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Jeannie is an experienced business traveler, often traveling back and forth from San Francisco to the East Coast several times p

lesya692 [45]

Answer:

The probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour is 0.0026.

Jeannie should leave her office 55 minutes early.

Step-by-step explanation:

Let X = time it requires Jeannie to catch her plane.

The random variable X is normally distributed, $N(46, 5)$ .

Compute the probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour as follows:

$P(X>60)=P(\frac{X-\mu}{\sigma} >\frac{60-46}{5} )\\=P(Z>2.8)\\=1-P(Z$

The probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour is 0.0026.

Now, it is provided that Jeannie has 96% chance of catching her flight if she reaches under x minutes.

That is, P (X < x) = 0.96.

Compute the value of x as follows:

$P(X$

**Use the z-table to compute the value of z.

The value of z is 1.751.

Compute the value of x as follows:

$z=\frac{x-46}{5}\\ 1.751=\frac{x-46}{5}\\x=46+(1.751\times5)\\=54.755\\\approx 55$

Thus, Jeannie should leave her office 55 minutes early.

4 0

2 years ago

Determine the domain and range for the function m(x)=-x^2+4x-3

jasenka [17]

Answer:

domain is all real numbers

range is y is less than or equal to 1 (it is a downward parabola)

4 0

2 years ago

Aleksandr [31]

Answer: lower bound = 9550

Step-by-step explanation:

Since the number is rounded to the nearest hundred, the actual value is somewhere between 9550 (which rounds up to 9600) and 9649 (which rounds down to 9600).

The lower bound is: 9550

The upper bound is: 9649

6 0

2 years ago

A toy maker claims his best product has an average lifespan of exactly 14 years. A skeptical quality control specialist asks for

slamgirl [31]

Answer:

interval = [17.3948 , 20.6052]

Step-by-step explanation:

given,

random sample (n) = 45

average product lifespan = 19 years

standard deviation = 4 years

confidence interval of 99 % = ?

we know,

t* = qt(1.99/2 + 44 ) = qt(0.995,44)

t* = 2.692

so,

interval

$x = 19 \pm t* \times (\dfrac{s}{\sqrt{n}})$

$x = 19 \pm 2.692 \times (\dfrac{4}{\sqrt{45}})$

$x = 19 \pm 2.692 \times 0.5963$

$x = 19 \pm 1.6052$

interval = [19 - 1.6052 , 19 + 1.6052]

interval = [17.3948 , 20.6052]

4 0

2 years ago

Write an equation of the line with the given properties. Your answer should be written in standard form.

Vanyuwa [196]

Given:

The slope of the line is m=0.

The line passes through the point P(-9,-3).

To find:

The equation of the line in standard form.

Solution:

Standard form of a line is:

$Ax+By=C$

The slope intercept form of the line is

$y-y_1=m(x-x_1)$

Where, m is the slope and $(x_1,y_1)$ is the point on the line.

It is given that the slope of the line is 3 and it passes through the point (-9,-3), so the equation of the line is

$y-(-3)=0(x-(-9))$

$y+3=0$

$y=-3$

Therefore, the standard form of the given line is $y=-3$ .

7 0

2 years ago