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const2013 [10]
2 years ago
12

Wanahton is cooking a breadstick on a rectangular baking sheet measuring 9\dfrac129

Mathematics
1 answer:
salantis [7]2 years ago
7 0

<u><em>Answer:</em></u>

The longest bread stick is approximately 16 in

<u><em>Explanation:</em></u>

The diagram representing the tray is shown in the attached image

From the diagram, we can note that the diagonal of the tray represents the hypotenuse of a right-angled triangle having legs 9.5 in and 13 in

<u>Therefore, to get the length of the hypotenuse, we can use the Pythagorean equation which is as follows:</u>

c² = a² + b²

where c is the length of the hypotenuse and a and b are the length of the two legs

<u>Substitute with the givens in the above equation to get the length of the hypotenuse as follows:</u>

c² = (9.5)² + (13)² = 259.25

c = 16.1 in which is approximately 16 in

<u>From the above, we can conclude that:</u>

The longest bread stick that can be fit straight along the diagonal of the tray is approximately 16 in

Hope this helps :)

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Kathy had $45.67 in her checking account. She wrote a check for $65.23. What was her balance after the check was cashed? A. $110
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2 years ago
A contractor is in charge of hiring people for a construction project. The number of days it would take to complete the project
sweet-ann [11.9K]

Answer:

\text{Domain of x}=[1,\infty), x \in Z^+

Step-by-step explanation:

Given the function: f(x)=\dfrac{280}{x},$ where:

f(x) =number of days it would take to complete the project

x =number of full-time workers.

\text{When x=0, }f(x)=\dfrac{280}{0}=$Undetermined\\\text{When x=1, }f(x)=\dfrac{280}{1}=$280 days\\\text{When x=280, }f(x)=\dfrac{280}{280}=$1 day\\\text{When x=560, }f(x)=\dfrac{280}{560}=$0.5 days

The domain of a function is the complete set of possible values of the independent variable.

In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.

Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).

\text{Domain of x}=[1,\infty), x \in Z^+

7 0
2 years ago
Assume that 12 people, including the husband and wife pair, apply for 4 sales positions. People are hired at random.
konstantin123 [22]

The formula C(n, r)= \frac{n!}{r!(n-r)!}, where r! is 1*2*3*...r

is the formula which gives us the total number of ways of forming groups of r objects, out of n objects.

for example, given 10 objects, there are C(10,6) ways of forming groups of 6, out of the 10 objects.

-----------------------------------------------------------------------------------------------


Selecting 4 people out of 12 can be done in :

\displaystyle{C(12, 4)= \frac{12!}{4!8!}= \frac{12\cdot11\cdot10\cdot9\cdot8!}{4!8!}= \frac{12\cdot11\cdot10\cdot9}{4!}=11\cdot5\cdot9= 495       many ways.


All the possible groups of 4 people, where the husband and wife are included, can be done in C(10, 2) many ways, since we only calculate the possible choices of 2 out of 10 people, to complete the groups of 4.


\displaystyle{ C(10, 2)= \frac{10!}{2!8!}= \frac{10\cdot9}{2}=45


Thus, the 

<span>probability that both the husband and wife are hired is 45/495=0.09


Part 2)

The probability that one is hired and the other is not = 

P(husband hired, wife not hired) + P(wife hired, husband not hired)

these 2 are clearly equal, so it is enough to calculate one.


Consider the case : husband hired, wife not hired.

assuming the husband is hired, we have to calculate the possible groups of 3 that can be formed from 11-1 (the wife)=10 people.

this is 
</span>

\displaystyle{ C(10, 3)= \frac{10!}{3!7!}= \frac{10 \cdot9 \cdot8}{3\cdot2}=10\cdot3\cdot4=120


thus, 


P(husband hired, wife not hired)=120/495=0.24


thus, 

The probability that one is hired and the other is not = 

P(husband hired, wife not hired) + P(wife hired, husband not hired) =

0.24+0.24=0.48



Answer:


A) 0.09


B) 0.48

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malfutka [58]
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2 years ago
Sams annual college tuition will be $230 more than ryan's annual college tuition after sams college tuition increase by 10% next
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Answer:

Sounds like Sam better pull it together

Step-by-step explanation:

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