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3 years ago

HELP ME PLEASE IM CRYING

Mathematics

1 answer:

bonufazy [111]3 years ago

7 0

When setting compensation, it is generally better to use the median as opposed to the mean for a simple reason: the mean or average is very sensitive to outliers (abnormally low or high values), while the median is much less affected by outliers.

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How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from 20°F to 45°F

BARSIC [14]

Answer:

a) Sample Mean = 79.4

Sample standard deviation = 30.62

b) 90% Confidence interval: (67.56 ,91.24)

Step-by-step explanation:

We are given the following in the question:

Prices for sleeping bags has an approximately normal distribution.

We are given the following sample:

35, 85, 105, 40, 100, 50, 30, 23, 100, 110, 105, 95, 105, 60, 110, 120, 95, 90, 60, 70

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1588}{20} = 79.4$

Sum of squares of differences = 1971.36 + 31.36 + 655.36 + 1552.36 + 424.36 + 864.36 + 2440.36 + 3180.96 + 424.36 + 936.36 + 655.36 + 243.36 + 655.36 + 376.36 + 936.36 + 1648.36 + 243.36 + 112.36 + 376.36 + 88.36 = 17816.8

$S.D = \sqrt{\displaystyle\frac{17816.8}{19}} = 30.62$

b) 90% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 19 and}~\alpha_{0.10} = \pm 1.7291$

$79.4 \pm 1.73(\displaystyle\frac{ 30.62}{\sqrt{20}} ) = 79.4 \pm 11.84 = (67.56 ,91.24)$

8 0

3 years ago

A little girl standing next to a telephone pole at 10 AM. The little girl is 4'6" tall and the telephone pole is 40 feet high. I

IRISSAK [1]

Answer:

The shadow of the pole is 1.2 feet long

Step-by-step explanation:

A little girl standing next to a telephone pole at 10 AM.

From the above question

Height of the girl = 4'6" tall = 4 feet and 6 inches tall

We convert to feet

= 12 inches = 1 foot

6 inches = x

Cross Multiply

12 × x = 6 × 1

x = 6/12 = 1/2 = 0.5 feet

Hence, the total height of the girl =

4 feet + 0.5 feet = 4.5 feet

The height of the telephone pole = 40 feet high.

The shadow of the telephone pole

= 8' 32 foot shadow

= 8 feet, 32 inches

We convert the inches to feet

12 inches = 1 foot

32 inches = x

Cross Multiply

12 × x = 32 × 1

x = 32/12 = 8/3 = 2.67 feet

Total length of the pole = 8 feet+ 2.67 feet = 10.67 feet

how long is a little girl shadow?

This is calculated using proportion

Shadow/Height

Shadow of the girl = x

Hence:

Shadow of the girl/Height of the girl = Shadow of the pole/Height of the pole

x/4.5 feet = 10.67 feet/40 feet

Cross Multiply

40 × x= 4.5 × 10.67

x = 4.5 × 10.67/40

x = 1.200375 feet

Approximately = 1.2 feet

Hence, the shadow of the pole is 1.2 feet long

8 0

3 years ago

54.628 rouned to rhe nearst tenth

likoan [24]

Round down to 54.6 because it is 5 or less.

8 0

3 years ago

Read 2 more answers

A triangular pyramid has a base area of 300 m2 and a height of 7.1 m. what is the volume of the triangular pyramid?

coldgirl [10]

The volume for a pyramid is $V= \frac{1}{3}Bh$ where B is the base area and h is the height. We have both the area and the height, so we fill in our formula accordingly: $V= \frac{1}{3}(300)(7.1)$ . That gives us a volume of 710 meters cubed.

7 0

3 years ago

Read 2 more answers

What is a real world provlem tjat involves dividing a decimal by a whole number?

Alina [70]

Money makes for nice decimal examples.

If you had $1.50, and you wanted to split it among three people, you would have :

1.50 divided by 3 (which would be $0.50 each)

5 0

3 years ago