The amount of gasoline sold each month to customers at Bob's Exxon station in downtown Navasota is a random variable. This random variable can be described as having a normal distribution with mean 2500 gallons and a standard deviation of 200 gallons (and there is no seasonal variation in sales). Exxon will give Bob an all-expense paid trip to College Station, including a free dinner at Burger King, if his station pumps more than 2800 gallons in any one month.

What is the probability that Bob will win that wonderful trip on the basis of his gasoline sales this month?

Answer:

SAS(SIDE ANGLE SIDE)

Step-by-step explanation

AB side in ABDA = AB side in ABDC

ABD angle in  ABDA= ABD angle in ABDC

BD side in ABDA = BD side in ABDC

The congruence theorem can be used to prove ABDA - ABDC is SAS.

Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with each other. The symbol of congruence is’ ≅’.

According to the questions,

AB side in ABDA = AB side in ABDC

ABD angle in  ABDA= ABD angle in ABDC

BD side in ABDA = BD side in ABD

Thus SAS is applied.

Hence SAS(Side Angle Side) is the required answer.

To learn more on congruence click :

https://brainly.com/question/20418145

#SPJ2

the answer for this is 84915

Answer:

67

Step-by-step explanation:

(5-2)180

=540

540-131-105-153-84

=67

Answer:

2lb 32 oz.

Step-by-step explanation:

because 2=5 so 8=32  

32 divided by 2 =16 so 32 oz  2lb

Answer:

7

Step-by-step explanation:

Answer:

392

Step-by-step explanation:

Answer:

Initial temperature = 20° C

Temperature after 18 minutes = 4° C

Step-by-step explanation:

Function representing the relation in the temperature of the soda and time has been given as,

T(x) = [tex]-8+28e^{-0.045x}[/tex]

Here x = number of minutes since the can was placed in the cooler

For initial temperature of the soda,

x = 0,

T(0) = [tex]-8+28e^{(28\times 0)}[/tex]

      = -8 + 28(1)

      = 20° C

For the temperature after 18 minutes,

x = 18,

T(18) = [tex]-8+28.e^{-0.045\times 18}[/tex]

       = [tex]-8+28.e^{(-0.81)}[/tex]

       = [tex]-8+12.456[/tex]

       = 4.456 C

       ≈ 4° C

Answer: 1/4096

Step-by-step explanation:

4^-2 = 1/16

4^-4 = 1/256

multiplying them gives 1/4096

Answer:3

Step-by-step explanation: i think

Answer:

He can by 3 candy bars.

Step-by-step explanation:

15.00-9.95=5.05

5.05-1.50=3.55

3.55-1.50=2.05

2.05-1.50=0.55 cents

Answer:

42

Step-by-step explanation:

Answer:

Carbon moves from plants to animals. Through food chains, the carbon that is in plants moves to the animals that eat them. ... Animals and plants need to get rid of carbon dioxide gas through a process called respiration. Carbon moves from fossil fuels to the atmosphere when fuels are burned.

Step-by-step explanation:

Answer:

Photosynthesis

Step-by-step explanation:

Answer:

angle angle side

Step-by-step explanation:

god bless you hun

Answer:

No

Step-by-step explanation:

Because they are equal

Answer: no , it’s equal

Step-by-step explanation:

9 yards is equal to 324 inches

Cuz there are 36 inches in 1 yard

So 36(9) = 324 inches!!

Answer:

the last one :)

Step-by-step explanation:

An infinite number of solutions is generated with a multiple of the first function, hence, the correct option is:

[tex]y = -\frac{1}{4}(4x - 8)[/tex]

The graph given is:

[tex]y = -x + 2[/tex]

When two equations are multiple, the system involving these two equations has infinite solutions.

Among the options, the multiple of the original function is:

[tex]y = -\frac{1}{4}(4x - 8)[/tex]

[tex]y = -x + 2[/tex]

Hence, [tex]y = -\frac{1}{4}(4x - 8)[/tex] is the correct option.

A similar problem is given at https://brainly.com/question/25718527

The correct answer is C

-Banana

Answer:

SYNTAX ERROR

Step-by-step explanation:

Answer:

- 6.547

Step-by-step explanation:

Given that:

Sample size (n) = 1207

p = 0.85

p0 = 0.92

The test statistic :

Z = (p - p0) / √(p0(1 - p0) / n)

Z = (0.85 - 0.92) / √(0.92(1 - 0.85) / 1207)

Z = - 0.07 / √(0.92(0.15) / 1207)

Z = - 0.07 / √0.0001143

Z = - 0.07 / 0.0106926

Z = - 6.5465446

Z = - 6.547

The first step to find the gcf of 35 and 63 is to list the factors of each number. The factors of 35 are 1, 5, 7 and 35. The factors of 63 are 1, 3, 7, 9, 21 and 63. So, the Greatest Common Factor for these numbers is 7 because it divides all them without a remainder. 

To sum up, the gcf of 35 and 63 is 7. In common notation: gcf (35,63) = 7.

~ I hope this helped, and I would appreciate Brainliest. ♡ ~ ( I request this to all the lengthy answers I give ! )

Answer:

Cannot be factored further

Step-by-step explanation:

[tex]x^{3} -x^{2}-4x=x(x^{2}-x-4 ) \\[/tex]

Answer:

x(x^2-x-4)

Step-by-step explanation:

Answer:

WARWRAESTRDYTFJYwarehstrdjhtfj

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

yh its b what else am i ment to say

Answer:

3*​x-​4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's get the answer first and then we can discuss how it is done. The answer is 119.

There is a problem. The question does not state whether or not 101 is included. If it is 119 is correct. If the question is between 101 and 200 then the answer will be 117.

How was it done? A programming language was used. So it counted by brute force.

From 101 to 120 we get

101  102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120

32  Certainly there must be a quicker way

101 = 2

102 to 109 = 1 * 8 = 8

110 to 119 = 10*2 = 20  

111 has an extra 1  = 1

120 has                    1

Total                       32  

From here it gets a bit easier.

121                      2

122 - 129            8

total                  10

130                     1

131                      2

132 - 139           8  

total                  11

140 to 149        11

150 to 159        11

160 to 169        11

170 to 179         11    

180 to 189         11

190 to 199         11

total 7 * 11 + 32 + 10 = 119

Answer:

last one ?

Step-by-step explanation:

you can prove it by base angle threom  because this a isscloes triangle

Answer:

8.5

Step-by-step explanation:

I did give a detailed explanation here but someone deleted it :(

Answer:

8/33 = 0.242

Step-by-step explanation:

There are 12 socks to begin with and one is taken;

The second is picked from the remaining 11 and will either match the first or not;

The probability of matching is 1/11 and 10/11 for not matching;

If the sock matches, no further sock is taken;

If the socks don't match, a 3rd sock is taken;

The 3rd sock is taken from the remaining 10, 1 of which will match with the first sock and another which will match the second;

Therefore, the probability of taking a matching sock on the third pick will by 2/10 or 1/5 and the probability it will not match either of the first two is 8/10 or 4/5;

Once again, if the sock matches either of those previously taken, no further sock is taken;

If the socks don't match, a 4th sock is taken;

Now, there are 9 socks remaining in the drawer;

Picking is repeated;

The process is logical;

The attached picture shows a tree diagram representing this information in an easily digestible way and makes it easy to work out the desired probability;

With tree, diagrams, you just multiply across until you get to your desired outcome;

In this case, we are finding the probability of picking 5 socks exactly;

Each process splitting represents the picking of a sock;

The probability will be:

10/11 × 8/10 × 6/9 × 4/8 = 8/33 = 0.242...