What is P(tails) Flip a coin Simple Probability

The following observations on degree of polymerization for paper specimens are used to estimate the true average degree polymeri

marshall27 [118]

Answer:

The answer is in the explanation

Step-by-step explanation:

Mean value = $\bar x$ = 438

(a) The data appeared to be centered towards 438.

There are little or no skew.

There is no outliers.

(b) yes

(c) standard deviation = s = 14.8955

95% confidence interval = $+- t_{df} * s\sqrt{n}$

$438 +- 2.12 * 14.8955 /\sqrt{17}$ =

= (430.3415, 445.6585)

(d) Test statistic

t = $(438 - 450)/{14.8955\sqrt17} }$

t = -3.3216

p -value is correctly given in option b.

No, 450 is not a plausible valaue.

5 0

4 years ago

At Gallicum Enterprises, all employees are in one of three categories: J, K, or L. The ratio of the numbers of employees in J to

MrRa [10]

Answer:

380.

Step-by-step explanation:

Given:

Total number of employees at Gallicum Enterprises are in the ratio,

J : k : L = 1 : 3 : 5 for some time.

Last month, 20 new J employees were hired, and no employees left and the new ratio of J to K is now 1 : 2.

Question asked:

What is the new total number of employees at Gallicum Enterprises ?

Solution:

As given, J : K : L = 1 : 3 : 5 

So, J : K = 1 : 3

$\frac{J}{K} = \frac{1}{3} \ (1)$

As last month, 20 new J employees were hired, new ratio of J to K is now

1 : 2.

So, $\frac{J+20}{K}=\frac{1}{2} \ (2)$

Dividing equation 1 and 2,

$\frac{J}{K}\div{\frac{J+20}{K} } = \frac{1}{3}\div{\frac{1}{2} }$

$\frac{J}{K}\times{\frac{K}{J+20} } = \frac{1}{3}\times{\frac{2}{1} }\\\\ \frac{J}{J+20} =\frac{2}{3} \\\\$

By cross multiplication:

$3J=2(J+20)\\3J=2J+40$

Subtracting both sides by $2J$

$J=40$

From equation 1.

$\frac{J}{K} = \frac{1}{3} \\\\ \frac{40}{K} =\frac{1}{3} \\\\$

By cross multiplication:

$K=40\times3\\\\ K=120$

As given, J : K : L = 1 : 3 : 5

So, K : L = 3 : 5

$\frac{K}{L} =\frac{3}{5} \\\\\\ \frac{120}{L} =\frac{3}{5}$

By cross multiplication:

$120\times5=3\times L\\600=3L$

Dividing both sides by 3

$L =200$

New total number of employees after hiring 20 new J employees :

New J + K + L = (New J = J + 20 = 40 + 20 = 60 )

60 + 120 + 200 = 380

Therefore, the new total number of employees at Gallicum Enterprises is 380.

4 0

3 years ago

What is the equation for this graph pls help me and pls make sure it’s right:))

SVETLANKA909090 [29]

Answer:

y = 5x + 4

Step-by-step explanation:

First I found the slope by using the the definition that slope is rise/run so I saw that the y value went up from 4 to 9 which is 5 units and then the x value went up one in that same time. This means that the slope is 5/1. Then I found the y intercept by seeing where x = 0. On the graph you can see the line touches the y - axis at a value of 4 which means that the y - intercept is 4. Plugging these values into the y = mx + b equation you get y = 5x + 4.

8 0

3 years ago

Read 2 more answers

Which function has the greater unit rate?

Sergio [31]

Answer:

Without an uploaded picture or further explanation, a valid answer can not be provided. My apologies

5 0

4 years ago

A rectangular prism measures 7.5cm by 12cm by 15.5 cm what is the volume

Sonbull [250]

Given = rectangular prism of measure 7.5 cm by 12 cm by 15.5 cm.

i.e length = 7.5 cm

breadth = 12 cm

height = 15.5 cm

Find out volume of the rectangular prism.

To proof -

Formula

Volume of the rectangular prism = length× breadth× height

= 7.5× 12× 15.5 cm³

= 1395 cm³

The volume ofthe rectangular prism become 1395 cm³.

Hence proved

6 0

3 years ago