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Flura [38]
3 years ago
14

WHICH OF THE FOLLOWING IS EQUIVALENT TO 4b +9a -2a + 5b A -2 a+14 b

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0
Grou plike terms

4b+9a-2a+5b
4b+5b+9a-2a
9b+7b

the closest one is C, but that has -7b instead of +7b
 
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2. The student council is sponsoring a concert as
Jlenok [28]

Answer:

80 adults must addent to make a complete $1,000

Step-by-step explanation:

You start with the students, $3 for each and 200 of them attend. 3x200=600 dollars in total. Then you would subtract 600 from 1,000. Next you will do the adults, 5x80=400 (The "leftover" cash) $5 for each times 80 adults will be $400 in total.

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3 years ago
Find the unknown length y in the following pair of the similar triangles.
yulyashka [42]

Answer:

y = 9.75

Step-by-step explanation:

Since both triangles are said to be similar, the proportion or ratio of the sides of both triangles would be equal.

Therefore, 39/y = 23/5.75 = 35/8.75

Let's find y

39/y = 23/5.75

==>Cross multiply

39*5.75 = 23*y

224.25 = 23y

==>Divide both sides by 23

224.25/23 = y

9.75 = y

y = 9.75

Check:

Thus,

39/9.75 = 23/5.75 = 35/8.75 = 4

Our answer y, which is 9.75, is correct.

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3 years ago
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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

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3 years ago
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