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Dahasolnce [82]
3 years ago
14

A police car drives a constant speed of 64 mph.how far can it travel in 2 hours​

Mathematics
1 answer:
REY [17]3 years ago
4 0

ABCDEFGHIJKLMNOPQRSTUVWXYZ

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A florist can make a grand arrangement in 18 minutes or a simple arrangement in 10 minutes. The florist makes at least twice as
Colt1911 [192]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

x\ge 2y

2. A florist can make a grand arrangement in 18 minutes =\dfrac{3}{10} hour, then he can make y arrangements in \dfrac{3}{10}y hours.

A florist can make  a simple arrangement in 10 minutes =\dfrac{1}{6} hour, so he can make x arrangements in \dfrac{1}{6}x hours.

The florist can work only 40 hours per week, then

\dfrac{3}{10}y+\dfrac{1}{6}x\le 40

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.

Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines x=2y and \dfrac{3}{10}y+\dfrac{1}{6}x=40

But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

\$(10\cdot 126+25\cdot 63)=\$2,835

8 0
2 years ago
D) Use your knowledge of scale drawings and image sizes to fill in the missing
astraxan [27]

Answer:

  Your table is filled in below.

Step-by-step explanation:

The scale factor is the ratio of image size to original size. In part (d), the image height is "blocks" while the original height is "feet". So, the units of the scale factor are "blocks/ft".

Sometimes a scale factor has units, like this, and sometimes it is expressed as a pure number. A map scale factor might be the pure number ratio 1 : 62500, or it could also be expressed with units as 1 in : 1 mile.*

__

* actually, these are slightly different scales. 1:62500 is about 0.98643 inches per mile.

7 0
2 years ago
Read 2 more answers
Seven weightlifters are competing in the dead-lift competition. In how many ways can the weightlifters finish first, second, and
Airida [17]
I think the answer is 21 you just multiply the number of weightlifters by the number of places so 7 x 3.
7 0
3 years ago
If sales tax is 7.75%, what is the total cost of an 11$ purchase including tax?
Akimi4 [234]

Answer:

$11.8525

Step-by-step explanation:

To find the total price of purchase including sales tax, we need to add sales tax to our total. This can be done as follows: Purchase price + percentage of purchase price as according to sales tax. In the case of your problem, this takes the form of $11 + 0.0775(11). This expression is equivalent to 11.8525.

7 0
3 years ago
Read 2 more answers
Height, in meters, is measured for each person in a sample. After the data are collected, all the height measurements
charle [14.2K]

Answer:

(E) The z-scores of the height measurements

Step-by-step explanation:

Mean is given by

\bar {x}=\frac{1}{n}\left(\sum _{i=1}^{n}{x_{i}}\right)=\frac{x_{1}+x_{2}+\cdots +x_{n}}{n}

Where,

n = Number of people

x_{i} = The heights of people

When converting m to cm the mean would be

\bar {x}=\frac{1}{n}\left(\sum _{i=1}^{n}{x_{i}}\right)\times 100

So, the mean would change

The median gives us the middle data value when the data values are in ascending order.

So, the median would change

Standard deviation

s=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\bar{x})^2}

When converting to centimeters

s=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}\left((x_i-\bar{x})\times 100\right)^2

Hence, the standard deviation would change

When converting to centimeters the maximum height in meters would be the maximum height in centimeters also.

The z score is given by

z=\frac{x-\mu}{\sigma}

where,

x = Data point

\mu = Mean

\sigma = Standard deviation

When converting to centimeters

z=\frac{(x-\mu)\times 100}{\sigma\times 100}\\\Rightarrow z=\frac{x-\mu}{\sigma}

Hence, the z score would remain the same

5 0
3 years ago
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