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andrew11 [14]
3 years ago
7

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $49,000 and a standard

deviation of $4,500. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)
(a) Find the 90th percentile for an individual teacher's salary.
$


(b) Find the 90th percentile for the average teacher's salary.
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
4 0

Answer:

they get a lot of moohlah

Step-by-step explanation:

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A common practice of airline companies is to sell more tickets for a particular flight than there are seats on the​ plane, becau
Serga [27]

Answer:

0.0159

Step-by-step explanation:

Given that a common practice of airline companies is to sell more tickets for a particular flight than there are seats on the​ plane, because customers who buy tickets do not always show up for the flight.

Here if X is the no of persons that do not show up, then X is binomial as each trial is independent with p = 0.04 and n =150 (no of tickets sold)

The plane is overbooked if more than 150 show up

i.e. less than 2 do not show up

Hence  the probability that the airline overbooked this​ flight

=P(X

4 0
3 years ago
Noah and Lin are marketing paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inc
Vadim26 [7]

Answer: r = 1.69 inches

              h = 2.15 inches

Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.

Volume of a cone is directly proportional to radius and height:

V=\frac{1}{3}\pi r^{2}h

They want the cones to hold the same volume of 9 cubic inches.

If height is 3:

9=\frac{1}{3}\pi r^{2}3

\pi r^{2}=9

r^{2}=2.864

r = 1.69 inches

When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.

If radius is 2:

9=\frac{1}{3}\pi (2)^{2}h

h=\frac{9(3)}{4 \pi}

h = 2.15 inches

If radius is 2 inches, height of the cone is 2.15 inches.

6 0
3 years ago
Find the measures of the missing angles g, h, k, and m
Darina [25.2K]

Answer:

Angle g = 29 degrees

Angle h = 180-29 = 151 degrees

Angle k = 61 degrees

Angle m = 180 - 61 = 119 degrees

Step-by-step explanation:

6 0
3 years ago
What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8
Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8  \ ln \ x-5=15.8-5$

Simplifying, we get,

8 \ ln \ x= 10.8

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of e^{1.35}$=3.85742... , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

8 0
3 years ago
The domain of y = cosx is the set of real numbers. True False
artcher [175]

Answer:

true

Step-by-step explanation:

3 0
2 years ago
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