Graph the image of the given triangle after the transformation that has the rule (x, y) −> (x

Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true

aev [14]

A) $4.85\pm0.29$
B) $4.56\pm0.45$

We first find the z-score associated with the level of confidence. For 95% confidence:
Convert 95% to a decimal: 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2 (this is the area in the tails): 0.05/2 = 0.025
Subtract from 1 (we don't want the tails, we want the area in the middle): 1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we find the z-score for this is 1.96. We now use the formula
$\overline{x} \pm z*(\frac{\sigma}{\sqrt{n}})
=4.85\pm 1.96*(\frac{0.75}{\sqrt{25}})=4.85\pm0.294\approx 4.85\pm 0.29$

For a 98% confidence level:
Convert 98% to a decimal: 0.98
Subtract from 1: 1 - 0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1 - 0.01 = 0.99

Using the z-table we see the closest number to this is for the z-score 2.33:
$\overline{x} \pm z* (\frac{\sigma}{\sqrt{n}})
=4.56\pm 2.33*(\frac{0.75}{\sqrt{15}})=4.56\pm0.45$

7 0

3 years ago

a triangle has sides 8cm and 5cm and an angle of 90 degree between them.calculate the smallest angle of the triangle

kakasveta [241]

Answer:

The smallest angle is 32 degrees

Step-by-step explanation:

The given parameters show that the triangle is a right angled triangle;

Let the two other angles be represented by x and y;

Since the angle between side 5 cm and side 8 cm is 90, we can represent any of this sides as the opposite and as the adjacent;

Scenario 1 (Calculating x)

Let opposite = 5 cm

Let adjacent = 8 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

$Tan\ x = \frac{Opposite}{Adjacent}$

$Tan\ x = \frac{5}{8}$

$Tan\ x = 0.625$

Take arctan of both sides

$x = tan^{-1}0.625$

$x = 32.0053832081$

$x = 32$ (Approximated)

Scenario 2 (Calculating y)

Let opposite = 8 cm

Let adjacent = 5 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

$Tan\ y = \frac{Opposite}{Adjacent}$

$Tan\ y = \frac{8}{5}$

$Tan\ y = 1.6$

Take arctan of both sides

$y = tan^{-1}1.6$

$y = 57.9946167919$

$y = 58$ (Approximated)

<em>By comparing the angles, the smallest angle is 32 degrees</em>

6 0

3 years ago

7. Dos moles de cloro (Cl2) en condiciones normales de presión y

kap26 [50]

Step-by-step explanation:

hahaiaiaijss tw,vw5×5-%2/

6 0

3 years ago

A water truck is filling a swimming pool. The equation that represents this relation is y=18.25x where y is the number of gallon

QveST [7]

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, however, one of the requirements of this question while I searched, was to make a table and sketch the equation.

If this is the case, then, all you need to do is take the equation, Assume some values for x, and compute the values of y. Then, you can do the graph.

I begin with value from 0 to 10.

This is the example of calculations:

x = 0

y = 18.25*0 = 0

for x = 0, we get y = 0. For x = 2:

y = 18.25 * 2 = 36.5

If we keep doing this, we should get a straight line. See the graph and attached table. If the question is asking another thing, then please get back to me to answer it.

6 0

3 years ago

300 dividea by 30 gets me to what

madreJ [45]

It gets you to ten, Hope its right

4 0

3 years ago

Read 2 more answers

Graph the image of the given triangle after the transformation that has the rule (x, y) −> (x - 1, y+5) .