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Tresset [83]
4 years ago
12

Assume the readings on thermometers are normally distributed with a mean of 0degreesC and a standard deviation of 1.00degreesC.

Find the probability that a randomly selected thermometer reads between negative 2.05 and negative 1.49 and draw a sketch of the region.

Mathematics
1 answer:
Nat2105 [25]4 years ago
5 0

Answer:

P(-2.05

And we can find this probability with this difference

P(-2.05

And we can see the figure in the plot attached.

Step-by-step explanation:

Let X the random variable that represent the redings on thermometers of a population, and for this case we know the distribution for X is given by:

X \sim N(0,1)  

Where \mu=0 and \sigma=1

We are interested on this probability

P(-2.05

We can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

Using this formula we got:

P(-2.05

And we can find this probability with this difference

P(-2.05

And we can see the figure in the plot attached.

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Find the equation of the line that cuts through (0,5) and (1, 2)? a. y=-3x + 5 b. y = 3x + 5 c. y = -5x + 3 d. Y = -1/3x + 5. Pl
Dafna11 [192]

Answer:

a. y = -3x + 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

y-intercept (0, 5)

Point (1, 2)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute [SF]:                    m=\frac{2-5}{1-0}
  2. Subtract:                              m=\frac{-3}{1}
  3. Divide:                                 m=-3

<u>Step 3: Write Equation</u>

<em>Plug in variables into the general form.</em>

y = -3x + 5

8 0
3 years ago
If p(x) = 2x2 - 4x and g(x) = x - 3, what is (pog)(x)?
stira [4]

Answer:

<h2>2x² - 16x + 30</h2>

Step-by-step explanation:

p(x) = 2x² - 4x

g(x) = x - 3

To find (pog)(x) replace every x in p(x) by g(x)

That's

(pog)(x) = 2(x - 3)² - 4(x - 3)

= 2( x² - 6x + 9) - 4x + 12

= 2x² - 12x + 18 - 4x + 12

<h3>= 2x² - 16x + 30</h3>

Hope this helps you

3 0
3 years ago
A photographer will arrange 6 people of 6 different heights for a photograph by placing them in two rows of three so that each p
Svetllana [295]

Answer:5

Step-by-step explanation:

This can be solved by fixing the position of shortest and tallest person in the first and second row respectively .

Rest we have four person remaining and we have to arrange 4 person in 4 positions therefore we can do it in

^4P_2ways out of which we have to exclude the case when both the tall persons is in the first row and short person in second rows

Therefore a total of 6-1 ways is possible

3 0
4 years ago
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