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Gekata [30.6K]
3 years ago
5

You are going to buy doughnuts for your coworkers. You buy 2 boxes of glazed doughnuts for $3.99 each, 3 boxes of chocolate-cove

red doughnuts for $4.49
each and 1 box of cream-filled doughnuts for $4.99. You pay the cashier with a $50 bill. How much change should you receive?
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0
You will receive $23.56 back.
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Pls help this my last question!
8_murik_8 [283]

Answer:

Step-by-step explanati

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7 0
2 years ago
A 1000 gallon tank, initially full of water, develops a leak at the bottom. Given that 300 gallons of water leak out in the firs
Over [174]

Answer:

option F

Step-by-step explanation:

given,

capacity of tank = 1000 gallon

volume of water leak = 300 gallon

time = 30 min

water is leaking at the rate

formula used

A = B e^{-kt}

At t = 0   A = 1000 gallons

1000= B e^{-k\times 0}

B = 1000

A = 1000 e^{-kt}

at t = 30        A  = 700

700= 1000 e^{-k\times 30}

e^{-k\times 30}=0.7

taking ln both side

-k\times 30=ln(0.7)

k=-\dfrac{ln(0.7)}{30}

now,

A = 1000 e^{\dfrac{ln(0.7)}{30}t}

A = 1000\times 0.7 e^{\dfrac{t}{30}}

A = 700 e^{\dfrac{t}{30}}

hence, the correct answer is option F

6 0
4 years ago
What kind of triangle has 105 degress?
Black_prince [1.1K]

Answer:

obtuse angled triangle

7 0
3 years ago
A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is
Svetllana [295]

Answer:

Option D.

Step-by-step explanation:

Suppose that we have a set of N values:

{x₁, x₂, ..., xₙ}

The median is the value in the middle, and the mean is calculated as:

M = \frac{(x_1 + x_2 + x_3 ... + x_n)}{N}

Because here we have "the median" then we will assume that N is odd, and there is only one median, the value "k"  (if N was even, the median would be the mean of the two middle values, that case is really similar to the case where N is odd, so solving only one of the cases is enough)

Now we add 7 to all the values greater than the median

We subtract 7 to all values smaller than the median.

Then the median remains unchanged (because we did not add nor subtract anything to the median).

The new mean will be:

M' = \frac{(x_1 - 7) + (x_2 - 7) + ... + (x_{k}) + ... + (x_n + 7)}{N} = \frac{(x_1 + x_2 + ... + x_n) + (-7)*(n/2 - 0.5) + 7*(n/2 - 0.5)}{N}  = \frac{(x_1 + x_2 + ... + x_n)}{N} = M

So the mean does not change.

Because the mean is computed as the sum of the numbers divided by N, and the mean does not change, and N does not change, then the sum of the numbers does not change.

Finally, the standard deviation is computed as:

SD = \sqrt{\frac{(x_1 - M)^2 + ... + (xn - M)^2}{N} }

Because M does not change, if we add or subtract numbers to some of the values, the standard deviation will change (Because all the terms are squared, so the added and subtracted sevens don't cancel like in the previous cases)

Then the only value that does not have the same value in both the original and new data sets is the standard deviation.

6 0
3 years ago
6. Darcy jogs 3 km in 20 min.
vivado [14]

Step-by-step explanation:

a) 3km=20 minutes

times both side by 3 as 20x3 is 60mins equal 1 hour

so 3kmx3 is 9km

b) 3km is 20 mins

times both side by 6 as 20x6 is 120 mins which is equivalent to 2 hours

therefore, 3kmx6 is 18km

c) the assumption is that the longer you run means that youll jog more further so more fitness

5 0
4 years ago
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