The temperature readings from a thermocouple in a furnace fluctuate according to a cumulative distribution function,
0, x < 800 oC
F(x) = 0.05x - 40, 800 oC< or is equal to x < 820 oC
1, x > 820 oC
Determine the following.
A) P(X< 810.0).
B) P(800 C) P(X> 808.40).
D) If the specifications for the process require that the furnace temperature be between 805.60 and 808.40oC, what is the probability that the furnace will operate outside of the specifications?

Answer:

yes, it's factors are (x+4)²

Step-by-step explanation:

Answer:

It is a perfect square.

Step-by-step explanation:

Answer:

x = 12.5

Step-by-step explanation:

Based on the interesting chords theorem, we would have the following:

2*x = 5*5

2x = 25

Divide both sides by 2

x = 25/2

x = 12.5

Answer:

10

Step-by-step explanation:

Answer: 8000

Step-by-step explanation:

Each 5% is 400.

10%= 800

10x10= 100% therefore

800x10 =8000.

8000 total fans

Answer:

Step-by-step explanation:

Area of a circle=πr²

Radius = 16/2=8 Area of a circle=3.14×8×8

= 3.14×64

= 200.96cm²

= 201 cm² to the nearest unit.

Answer:

A. 0.0272

B. 0.0278

C. No

Step-by-step explanation:

a. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 1995u

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.639

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.639 * (1 - 0.639)/1200)

Standard error(SE)= 0.0139

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0139

Margin of Error = 0.0272

Therefore the Margin of Error is 0.0272

b. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 2016

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.417

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.417 * (1 - 0.417)/1200)

Standard error(SE)= 0.0142

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0142

Margin of Error = 0.0278

Therefore the Margin of Error is 0.0278

c. Based on the above calculation for both (a) and (b) the MARGIN OF ERROR are NOT the same reason been that (a) Margin of Error is 0.0272 while (b) Margin of Error is 0.0278 which simply shows that the proportion in parts (a) and are different.

hello

Step-by-step explanation:

180 - (sum of known angles) = missing angle

you can substitute the values

angles in a triangle add up to 180

Answer:

dam mario u trying get a speeding ticket

bu the answer is 10 if im not mistaken

Step-by-step explanation:

Answer: x=6

Step-by-step explanation:

Answer:

placeholder going to the bathroom brb

Step-by-step explanation:

Answer:

[tex]m<LMJ = 86[/tex]

Step-by-step explanation:

1. Approach

First, use the sum of angles in a quadrilateral theorem to find the value of the parameter ([tex]x[/tex]). This theorem states that the sum of all angle measures in a quadrilateral is ([tex]360[/tex]). After finding the value of ([tex]x[/tex]), substitute it back into the given value for the ([tex]m<LMJ[/tex]), and solve.

2. Finding ([tex]x[/tex])

Remember, the sum of angle measures in any quadrilateral is 360 degrees, regardless of the quadrilateral type.

Using this knowledge, one can apply it by saying;

[tex]m<K + m<J + m<M + m<L = 360[/tex]

Substitution,

[tex](93) + (76) + (11x-2) + (14x - 7) = 360[/tex]

Combine like terms;

[tex]160 + 25x = 360[/tex]

Inverse operations;

[tex]160 + 25x = 360\\-160\\\\25x = 200\\/25\\\\x = 8[/tex]

3. Finding ([tex]m<LMJ[/tex])

Substitute back in to find the [tex]m<LMJ[/tex]

[tex]11x - 2\\\\x=8\\\\11(8) - 2\\\\88 - 2\\\\86[/tex]

Answer:

m∠M = 86

Step-by-step explanation:

the angles of a quadrilateral equal 360°, adding ∠K and ∠J together we get 169°.

360 - 169 = 191, meaning ∠L and ∠M have to add up to 191.

substitute the values of ∠L and ∠M to make the equation

14x -7 + 11x -2 = 191

combine like terms 14x + 11x and -2 - 7 to get 25x -9 =191

now solve for the value of x by first adding 9 to both sides and then dividing each side by 25 like so:

25x -9 = 191          →      25x = 200    →      25x = 200    → x = 8

     +9     +9                                              /25     /25    

Now put the value of x into the equation for angle M like this:

11(8) -2 = M    and solve, 11×8 = 88, 88 -2 = 86, so the measure of ∠M is 86

Answer:

angle 3 is 132

angle 2 is 48

Step-by-step explanation:

Answer:

I cant see that pdf you attached maybe tell me what questoin you are asking?

Answer:

256m^2

Step-by-step explanation:

you can cut up the figure.

A1=bh

A1= 24x8

A1=192m^2

A2=bh

A2= bh

A2=8x8

A2=64m^2

A1+A2= Atotal

A=192+64

A=256m^2

Answer:

0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507

Step-by-step explanation:

The probability of drawing each chip is the same, which means that the uniform distribution is used to solve this question.

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

There are 797 identical plastic chips numbered 1 through 797 in a box.

This means that [tex]a = 1, b = 797[/tex]

What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507?

[tex]P(X < 507) = \frac{507 - 1}{797 - 1} = 0.6357[/tex]

0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507

Answer: 10/36

When a pair of fair dice are rolled , the total possible cases are (6 × 6) = 36. Out of these 36 cases the following 10 cases are favors(giving the sum > 8) for the happening of the event . These 10 cases are (3, 6), (4, 5), (4, 6),(5, 4), (5, 5), (5, 6) , (6, 3), (6, 4), (6, 5), & (6, 6)

Step-by-step explanation:

6×6=36 possible outcomes and only 15 possible outcomes summing 8 or more than 8.

Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.

Answer:

12

Step-by-step explanation:

You solve for x in 2 methods 7x+10=94 Or 4x-6=42

7x=84

x=12

Answer:

(y-9)(2y^2 +9)

Answer:

m7=80º

m8=100º

Step-by-step explanation:

Step-by-step explanation:

Step 1

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

5  5 2

Step 2

We can work out that the divisor (5) goes into the first digit of the dividend (5), 1 time(s). Now we know that, we can put 1 at the top:

1  

5  5 2

Step 3

If we multiply the divisor by the result in the previous step (5 x 1 = 5), we can now add that answer below the dividend:

1  

5  5 2

5  

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (5 - 5 = 0) and write that answer below:

1  

5  5 2

- 5  

0  

Step 5

Move the second digit of the dividend (2) down like so:

1  

5  5 2

- 5  

2  

Step 6

The divisor (5) goes into the bottom number (2), 0 time(s), so we can put 0 on top:

1 0  

5  5 2

- 5  

2  

Step 7

If we multiply the divisor by the result in the previous step (5 x 0 = 0), we can now add that answer below the dividend:

1 0  

5  5 2

- 5  

2  

0  

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (2 - 0 = 2) and write that answer below:

Answer:

17 ft that's the ans

I don't know if it is correct

Answer:

6

Explanation:

substituting- f(x)= (1+2) + 2(1+2) -3

3 + 2(3)-3

3+6-3

=6

HOPE IT HELPS

Answer:

The answer is 4 (B)

Step-by-step explanation:

Hope this Helped

Answer:

yes I am pretty sure that's correct