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Rudik [331]
4 years ago
14

Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00°C.

A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 84​, the 84 th percentile. This is the temperature reading separating the bottom 84 % from the top 16 %. The temperature for P 84 is approximately_________?
Mathematics
1 answer:
NNADVOKAT [17]4 years ago
8 0

Answer:

The temperature for P 84 is approximately 1ºC.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00°C. This means that \mu = 0 and \sigma = 1

This is the temperature reading separating the bottom 84 % from the top 16 %.

This temperature is the value of X when Z has a pvalue of 0.84. This happens at Z = 1.

So

Z = \frac{X - \mu}{\sigma}

1 = \frac{X - 0}{1}

X = 1

The temperature for P 84 is approximately 1ºC.

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10+4.5m=21.25<br> Solve for M
enyata [817]

<u>Answer:</u>

  • m = 2.5

<u>Step-by-step explanation:</u>

  • 10 + 4.5m = 21.25
  • => 4.5m = 21.25 - 10
  • => 4.5m = 11.25
  • => m = 11.25/4.5
  • => m = 2.5

<u>Conclusion:</u>

Therefore, m = 2.5

Hoped this helped.

GeniusUser

8 0
3 years ago
A silo is not the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cu
Gnom [1K]

Answer:

$7803.72

Step-by-step explanation:

We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.

First of all, we will find the volume of silo using volume of cone formula.

\text{Volume of cone}=\frac{1}{3}\pi r^2 h, where,

r = radius

h = Height

We know that radius is half the diameter, so radius of silo would be r=\frac{3}{2}=1.5.

\text{Volume of cone}=\frac{1}{3}\pi (1.5\text{ m})^2 (8)\text{ m}

\text{Volume of cone}=\frac{1}{3}\pi\times 2.25\text{ m}^2 (8)\text{ m}

\text{Volume of cone}=\pi\times 0.75\text{ m}^2 (8)\text{ m}

\text{Volume of cone}=\pi\times 6\text{ m}^3

\text{Volume of cone}=18.8495559\text{ m}^3

Now we will multiply total volume by $414 to find total cost.\

\text{Total cost of soybeans}=\$414 \times 18.8495559

\text{Total cost of soybeans}=\$7803.7161426

\text{Total cost of soybeans}\approx \$7803.72

Therefore, it will cost $7803.72 to fill the silo with soybeans.

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3 years ago
There are 420 students. 63 students were out sick. What percent of the student population is ill?
emmainna [20.7K]
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The percentage would then be:
=63/420×100%
=3/20×100%
=0.15×100%
=15%

Therefore the answer is 15%.

Hope it helps!
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Step-by-step explanation:

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