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laila [671]
2 years ago
4

Mr. C is such a mean teacher! The next time Mathias gets in trouble, Mr. C has designed a special detention for him. Mathias wil

l have to go out into the hall and stand exactly meters away from the exit door and pause for a minute. Then he is allowed to walk exactly halfway to the door and pause for another minute. Then he can again walk exactly half the remaining distance to the door and pause again, and so on. Mr. C says that when Mathias reaches the door he can leave, unless he breaks the rules and goes more than halfway, even by a tiny amount. When can Mathias leave?
Mathematics
1 answer:
Akimi4 [234]2 years ago
3 0

Answer:

Mathias can leave exactly in 5 minutes.

Step-by-step explanation:

the first minute he will stand meters away from the exit door, the second minute he will walk half way to the door, the third minute he will walk half the distance of the half way, the fourth minute will also divide the half distance remaining and the fifth minute he will walk and stand at the door before finally existing.

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Sharon is planning a holiday for 4 people for 7 days.
sineoko [7]

Answer:

£ 3600

Step-by-step explanation:

Each PERSON cost:

Travel cost 130 (assume for whole 7 days since per day is not written)

Hotel 60 per day (so 7 days = 60 * 7 = 420)

Money Spend 350 (assume for whole 7 days since per day is not written)

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

Now, that sums to:

130 + 420 + 350 = £900 [each person for whole 7 days]

Now, there are 4 person, so total cost of whole group (4 persons):

900 * 4 = <u>£ 3600</u>

5 0
2 years ago
An arrow is shot vertically upward from a platform 45 feet high at a rate of 168 ft/sec. Use the quadratic function
Maksim231197 [3]

Answer:

5.3 s

Step-by-step explanation:

a) since the height is defined by a function, we can find the turning point of the quadratic , which is where the ball will have the highest point. The turning point is where the gradient is equal to zero so we differentiate first

h(t) = -16t^{2} + 168t + 45\\h'(t)= -32t+168\\0=-32t+168\\t=5.3s

8 0
2 years ago
Read 2 more answers
The price of a coat is $114 before sales tax . The sales tax is 7%. Find the total cost of the coat
Mars2501 [29]
<span>121.98 114 + 7%= 121.98
that is your answer</span>
3 0
2 years ago
Writing two column proofs<br> Given: BC bisects. ABD M ABD =52° prove: mABC=26°
Artemon [7]

Given

BC bisects ABD

∠ ABD =52°

prove: m ∠ABC=26°

To proof

As given in the question

BC bisects ∠ABD

This means BC divided ∠ABD into the two equal parts.

Therefore

\angle ABC = \frac{1}{2}\angle ABD

As given

∠ABD = 52°

put this in the above value

we get

\angle ABC =\frac{1}{2}52^{\circ}

∠ABC = 26°

Hence proved

 


8 0
2 years ago
Read 2 more answers
A music buff wants to estimate the percentage of students at a midwestern university who believe that elvis is still alive. how
gulaghasi [49]
Since we are not given any information about the proportion, we will assume the sample proportion to be 0.50

so,
p = 0.50
The Error is 10% percentage point. This means that on either side of the population proportion the error is 5% so E = 0.05
z = 1.645 (Z value for 90% confidence interval)

The margin of error for population proportion is calculated as:

E=z* \sqrt{ \frac{p(1-p)}{n} }  \\  \\ &#10; \frac{E}{z} = \sqrt{ \frac{p(1-p)}{n} }  \\  \\ &#10;( \frac{E}{z} )^{2}= \frac{p(1-p)}{n} \\  \\ &#10;n= p(1-p)* (\frac{z}{E})^{2}  \\  \\ &#10;n=271

This means 271 students should be included in the sample
5 0
2 years ago
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