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lbvjy [14]
3 years ago
14

This table shows the input and output values for a linear function f(x).

Mathematics
2 answers:
Svetlanka [38]3 years ago
8 0

Answer:

-25

Step-by-step explanation:

The following are x-values (inputs) and their y-values (outputs) that are one value apart:

(Input, output)

✅(-2, 20) and (-1, -5)

Difference between their outputs = -5 - 20 = -25

✅(-1, -5) and (0, -30)

Difference between their outputs = -30 -(-5) = -25

✅(0, -30) and (1, -55)

Difference between their outputs = -55 -(-30) = -25

✅(1, -55) and (2, -80)

Difference between their outputs = -80 -(-55) = -25

As we can see the difference of outputs for any two inputs that are one value apart = -25

Harlamova29_29 [7]3 years ago
5 0

Answer:

-25

Step-by-step explanation:

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the total amount of water a tank can hold is 14 1/2 gallons. Raul wants to find out how many 1 1/4 gallon buckets of water can b
katen-ka-za [31]
12

Step by step:

14 1/2=14.5
1 1/4=1.25

14.5 divided by 1.25=11.6
7 0
3 years ago
Mrs. Wheeler prepares a list of 434343 US presidents, 313131 of whom served in the military. Then 888 students each select a pre
grigory [225]

Answer:

Probability of atleast one of the students(888) selecting a president with no service in the military reaches 1.

Step-by-step explanation:

Total Presidents in list = 434343

Military men to be president = 313131

Probability of selecting President who were also military men =

p = 313131/434343 = 0.72

Probability of selecting President who were not military men =

q = 1 - p = 1 - 0.72 = 0.28

Now; no of students who make a choice = 888

no. of Choices made resulting in success = x : {0, 1, 2, 3,............., 888 }

GIVEN CASE:

P(f) = Probability of atleast one student selecting a president with no service in military

This case fails when no one selects a president with no service in military, let us call it P(f').

P(f) = 1-P(f')

Calculating P(f'):

Let us define:

Failure = selecting a president with service in military , p = 0.72

Success = selecting a president with no service in military , q = 0.28

Using Binomial Theorem:

we have this case when n students make selections and x of them are successful.

P(x) = nCx * q^{x}  * p^{n-x}

In case of f' , n = 888 and x = 0

P(0) = 888 C 0 * (0.28)^{0}  * 0.72^{888-0}

= (888!/(888-0)!) * (1) * (0.72)^{888}\\= (0.72)^{888}\\= 2.047655e-127\\

Hence, P(f') = 2.047655e-127 (reaches 0)

Now: P(f) = 1 - P(f')

P(f) = 1 - 2.047655e-127 = 1

Hence Probability of atleast one of the students(888) selecting a president with no service in the military is 1.

7 0
3 years ago
What is the distance between the points (-6, 7) and<br> (-1, 1)? Round to the nearest whole unit.
grin007 [14]
(5, 6) is the answer i believe
5 0
3 years ago
Read 2 more answers
I need to know the answer for this so please help
Crazy boy [7]

Answer:

there is not solution the the equation (graph)

Step-by-step explanation:

when the lines are parallel and do not intersect they is no solution.

8 0
3 years ago
Which of the following expressions is equivalent to the radical expression?
qwelly [4]
The correct answer is B) m^{2/3}n^{5/3}. 

The denominator of the exponent is the root we are taking.  The numerator is the exponent of the radicand.  This means 3 will be the denominator, since it is a cubed root, and 2 will be the numerator of m while 5 will be the numerator of n.
4 0
3 years ago
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