Question:
x = __ degrees

Answer:

(a) 31101

(b) $5.65

(c) $113.38

Step-by-step explanation:

The complete question is:

A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $20,000, a $125 gas card, or a $5 shopping card. To claim his or her prize, a prospective print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,101, the chance of winning the gas card was 1 out of 31,101, and the chance of winning the shopping card was 31, 099 out of 31,101.

Solution:

The information provided is as follows:

[tex]P(\text{Car})=\frac{1}{31101}\\\\P(\text{Gas Card})=\frac{1}{31101}\\\\P(\text{Shopping Card})=\frac{31099}{31101}[/tex]

(a)

The number of fliers the automobile dealership sent​ out is, n = 31,101.

This is because the probability of winning any of the three prize is out of 31,101.

(b)

Compute the expected value of the prize won by a prospective customer receiving a​ flier as follows:

[tex]E(X)=\sum x\times P(X=x)[/tex]

         [tex]=[20000\times \frac{1}{31101}]+[125\times \frac{1}{31101}]+[5\times \frac{31099}{31101}]\\\\=0.6431+0.0040+4.9997\\\\=5.6468\\\\\approx 5.65[/tex]

Thus, the expected value of the prize won by a prospective customer receiving a​ flier is $5.65.

(c)

Compute the standard deviation of the prize won by a prospective customer receiving a​ flier as follows:

[tex]SD(X)=\sqrt{V(X)}=\sqrt{E(X^{2}-(E(X))^{2}}[/tex]

           [tex]=\sqrt{[(20000)^{2}\times \frac{1}{31101}+(125)^{2}\times \frac{1}{31101}+(5)^{2}\times \frac{31099}{31101}]-(5.65)^{2}}\\\\=\sqrt{12854.9011}\\\\=113.37947\\\\\approx 113.38[/tex]

Thus, the standard deviation of the prize won by a prospective customer receiving a​ flier is $113.38.

Answer:

x = z

x + y = 180

Step-by-step explanation:

Answer:

y=[tex]\frac{1}{4}[/tex]x+3

Explanation:

you have to use the formula y₂-y₁/x₁-x₂ in order to find your slope and what ever you get from that is your slope

Answer: 29.2 degree

Step-by-step explanation:

Given data:

Elevation of the pilot = 50,000 feet

Elevation of the two towers = 300 feet apart.

Depression of closer tower = 30

Solution:

The angle of depression to the second tower is x

tanx = 5000/(5000*√(3)+300)

x=29.2

Therefore the angle of depression of the second tower is at 29.2 degree

Answer:

29.2°

Step-by-step explanation:

From diagram (b)

Tan θ= opp/adj

Where θ = 30°

opp = 5000ft

adj = ?

tan 30° = 5000/x

x tan30° = 5000

x = 5000/tan 30

x = 5000/0.577

x = 8665.5ft

From diagram c

tan θ = opp/adj

Where θ = ?

opp = 5000

adj = 300+x

x= 8665.5

tan θ = 5000/300+8665.5

tan θ = 5000/8965.5

tan θ = 0.55769

θ = arch tan 0.55769

θ = 29.147

θ= 29.2°

Answer:

15

Step-by-step explanation:

Answer:

B

Step-by-step explanation

Answer:

A

Step-by-step explanation:

Because on the number line it has the point 6 spots below the zero so it has to be A: At a distance 6 tick marks below 0

Answer:

f(x) → -f(x)

Step-by-step explanation:

Answer:

5.36 < 27/5 < 33/6 < 5 3/5 or 5.36, 27/5, 33/6, 5 3/5

Step-by-step explanation:

Answer:

y=3x+5

Step-by-step explanation:

Depending on how many games he has played that number where the x is. So let’s say he plays two games so what you’re going to do is plug the two in for the X so then it would be 2×3 which is 6 then you would do 6+5 because you still have the 5 left and it says to add.

That should be right and follow me if this helps.

Answer:

the answer would be 17.500

Answer:

x = 35/2

Step-by-step explanation:

add: (6/7)x = 8 + 7

(6/7)x = 15

multiply by the reciprocal

x = 15(7/6)

Simplify

x = 5(7/2)

multiply:

x = 35/2

Check:

(6/7)(35/2)  -8 = 7

15 -8 = 7

Answer:

The value in your hand is -18

let the value be x, then the equation is:

x = -8 + (-10)

x = - 8 - 10

x = - 10

the distance of the sum from -8 is the distance between -8 & -10, i.e -8 - (-10) = 2.

Answer:

thank you

Step-by-step explanation:

Answer:

$18.32

Step-by-step explanation:

First one is not possible. Same for 18.42

Answer:

Yes

Step-by-step explanation

6:3 multiply by 3 is equal to 18:3

Answer:

Yes

Step-by-step explanation:

This is because 6x3 is 18 for the 18:3 and 1x3 is 3 in the 18:3. You can also think it this way, 18/3 and 6/1 if you divide both you get an answer of 6 so they both are the same meaning making them equivalent

Answer:

-2

Step-by-step explanation:

-2 or negative 1 will work , they're both more

Answer:

-2 or -1

because those are both greater than -3

Answer:

0

Step-by-step explanation:

Answer:

y = -2/3x + 3

Step-by-step explanation:

3y = -2x + 9

y = (-2x + 9)/3

y = -2/3x + 3

Answer:

the warmest is wilmington

Step-by-step explanation:

it's 0 degrees and the other ones are lower so i mean it's common sense positives are greater than negatives

Answer:

Wilmington

Step-by-step explanation:

All the others are negative, but Wilmington is zero degrees which is non negative.

Answer:

a. When you have two parallel lines cut by a transversal, angles 4 and 6 become same side interior angles, meaning they add to 180 degrees. Alex's mistake is that he thought angles 4 and 6 were corresponding angles, which are equal to each other (corresponding angles would be like angles 2 and 6. they are in the same place in relation to the transversal and the parallel lines. if you moved line l down, angle 2 would be on the same spot as angle 6, so they are corresponding angles).

b. angles 4 = 140 degrees

Step-by-step explanation:

a. Alex thought that angles 6 and 4 were corresponding angles, however, they are same side interior angles. Because two parallel lines are cut by a transversal, we can conclude that angles 4 and 6 are same side interior angles.

Same side interior angles are angles that add to 180, so you would do 180-40 to get angle 4. the measure of angle 4 would be 140 degrees (the answer to b).

Answer:

addition.

Step-by-step explanation:

(8-2x)2+4

(8-2(3))2+4

(8-6)2+4

(2)2+4

4+4 (last operation)

8

This is about absolute value inequalities.

The set of possible values of x that make the statement true are; x = {-2, -1, 0, 1}

We are told that when it is multiplied by 3 and 1 added to it, it is between - 8 and 7. This means it is greater than -8 but less than 7.

Thus;

3x + 1 > -8  - - - (eq 1)

3x + 1 < 7  - - - (eq 2)

3x + 1 > -8

Subtract 1 from both sides to get;

3x > -9

x > -9/3

x > -3

3x + 1 < 7

Subtract 1 from both sides to get;

3x < 7 - 1

3x < 6

x < 6/3

x < 2

Thus, we can write that;

-3 < x < 2

Thus, the set of possible values of x are; x = {-2, -1, 0, 1}

Read more at; brainly.com/question/18119747

Answer:

set of all solutions

Answer: I hope this is correct -9

Step-by-step explanation: This is right

9514 1404 393

Answer:

  54.5868

Step-by-step explanation:

The multiplicands each have 2 digits to the right of the decimal point, so the product will have 2+2 = 4 digits to the right of the decimal point. The correct placement is ...

  54.5868

__

Another way to tell is that the product is in the neighborhood of 3·15 = 45, which is nowhere near 545 or 5458 or any higher value.

Answer: 54.5868

Since 3 x 15 is already 45, now we have to multiply the decimals, but we must put a point.

.54 x .42 = 9.5868

45 + 9.5868 = 54.5868.

Hope this helps!

-77 + (-46 )

- 77 - 46 (+ × - = - )

-123

Answer:

-123

Step-by-step explanation:

This is the answer because:

1) First, multiply the negative sign with the positive sign.

Negative x Positive = Negative

Equation: -77 - 46

2) Now, multiply the negative sign with the negative sign.

Negative x Negative =  Positive

Equation: 77 + 46 = 123

3) Finally, add the greater number's sign (-77) in front of the number.

-123

Hope this helps! :D

Answer: mode = 165.10 cm, median = 182.88 cm, mean = 177.80 cm

Step-by-step explanation:

mode = 65*2.54 = 165.10 cm

median = 72*2.54 = 182.88 cm

mean = 70*2.54 = 177.80 cm

The values in cm are:

Mode = 162.56 cm

Median = 182.88 cm

Mean = 177.8 cm

Given,

The mode is 65 inches, the median is 72 inches, and the mean is 70 inches.

We need to convert the data into centimeters by multiplying each data value by 2.54 and find the values of the mode, median, and mean in centimeters.

There is 2.54 cm in one inch.

Example:

If we want to find cm in 4 inches.

We just multiply 4 with 2.54 cm.

2.54 cm = 1 inch

4 x 2.54 cm = 4 x 1 inch

10.16 cm = 4 inches

We have,

We know that,

1 inch = 2.54 cm

Mode = 65 inches

1 inch = 2.54 cm

64 inches = 64 x 2.54 cm = 162.56 cm

Median = 72 inches

72 inches = 72 x 2.54 cm = 182.88 cm

Mean = 70 inches

70 inches = 70 x 2.54 cm = 177.8 cm

Thus the values in cm are:

Mode = 162.56 cm

Median = 182.88 cm

Mean = 177.8 cm

Learn more about the conversion of inches to cm here:

https://brainly.com/question/14881622

#SPJ2

Answer:

39.02%

or

39%

Step-by-step explanation:

Answer:

1

The correct option is  b

2

The correct option is  h

Step-by-step explanation:

From the question we are told that

  The sample size is  n  = 15

   The difference in population proportion is [tex]d = 6[/tex]

Generally the sample mean of the input temperature is  

     [tex]\= x_1  =  \frac{\sum x_i }{n}[/tex]

=>  [tex]\= x_1  =  \frac{57.6 + 68.9 + \cdots +60.4  }{15}[/tex]

=>  [tex]\= x_1  = 62.57 [/tex]

Generally the sample mean of the output temperature is  

     [tex]\= x_2  =  \frac{\sum x_i }{n}[/tex]

=>  [tex]\= x_2  =  \frac{65.1 + 74.4 + \cdots +67.3 }{15}[/tex]

=>  [tex]\= x_2 = 55.97 [/tex]

Generally the difference of the sample mean of the input temperature and that of the output temperature is  

     [tex]\= d  =  \= x_1  - \= x_2[/tex]

=>  [tex]\= d  =  62.57 -55.97[/tex]

=>  [tex]\= d  =  6.6[/tex]

Generally the standard deviation is mathematically represented as

     [tex]s_d  =  \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }[/tex]

=>  [tex]s_d  =  \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots +  ([60.4 -  67.3]- 6.6)^2 }{15} }[/tex]

=>  [tex]s_d  = 1.732 [/tex

Generally the test statistics is mathematically represented as

     [tex]t  =  \frac{ d - \= d  }{ \frac{s_d}{\sqrt{n} } }[/tex]

=>   [tex]t  =  \frac{ 6-6.6  }{ \frac{1.732}{\sqrt{15} } }[/tex]

=>   [tex]t  =  1.3417[/tex]

Generally the degree of freedom is mathematically represented as

    [tex]df =  n -  1[/tex]

=>  [tex]df =  15 -  1[/tex]

=>  [tex]df =  14[/tex]

Generally the probability of t obtained from the t - distribution table at a degree of freedom of  [tex]df =  14[/tex] is  

      [tex]P(t >1.3417 )  =  0.10052569[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value  =  2 *  P(t >  1.3417)[/tex]

=>    [tex]p-value  =  2 *   0.10052569[/tex]

=>   [tex]p-value  =  0.201 [/tex]

From the values obtained we see that [tex]p-value  >  \alpha[/tex] hence

The decision rule is  

Fail to  reject the null hypothesis

The conclusion is  

The cooling system changes the temperature of the water by 6 degrees.

Answer:

14.55

Step-by-step explanation:

Answer: 4 [tex]\frac{2}{12}[/tex]

Step 1: Convert 14 inches to feet and inches.

14 inches = 1 foot, 2 inches.

Step 2: Find the total.

4 feet, 2 inches.

Step 3: Write two of twelve inches as a fraction.

Answer = [tex]\frac{2}{12\\}[/tex]

Step 4: Write final answer down correct.

4 [tex]\frac{2}{12}[/tex]

Hope this helps you!