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spin [16.1K]
3 years ago
5

Which of the following choices is the standard deviation of the sample shown here? 19,20,21,22,23

Mathematics
1 answer:
serg [7]3 years ago
6 0

Answer:

Answer : 42

Step-by-step explanation:

<h2>Hope this help :)</h2>

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One of the tables shows a proportional relationship. Graph the line representing the proportional relationship from this table i
Mkey [24]

Answer:

Table C

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

Find the value of the constant of proportionality in each table

Table A

For x=-2, y=-4 ------>k=-4/-2=2  

For x=-1, y=-3 ------>k=-3/-1=3  

This table has different values of k

therefore

the table A does not represent a proportional relationship

Table B

For x=-2, y=-4 ------>k=-4/-2=2  

For x=-1, y=-2 ------>k=-2/-1=2  

For x=1, y=3 ------>k=3/1=3  

This table has different values of k

therefore

the table B does not represent a proportional relationship

Table C

For x=-2, y=-4 ------>k=-4/-2=2  

For x=-1, y=-2 ------>k=-2/-1=2  

For x=1, y=2 ------>k=2/1=2  

For x=2, y=4 ------>k=4/2=2  

This table has the same value of k

therefore

the table C  represent a proportional relationship

Table D

For x=-2, y=-4 ------>k=-4/-2=2  

For x=-1, y=-2 ------>k=-2/-1=2  

For x=1, y=2 ------>k=2/1=2  

For x=2, y=6 ------>k=6/2=3  

This table has different values of k

therefore

the table D does not represent a proportional relationship

3 0
3 years ago
Read 2 more answers
the price per share of a stock decreased from $90 per share to $36 per share. by what percent did the price of the stock decreas
givi [52]

Answer:

60%

Step-by-step explanation:

we know that

the price per share of a stock decreased from $90 per share to $36 per share

In this problem

$90 represent the 100%

so

using proportion

Find out what percentage represent the difference of ($90-$36)

($90-$36)=$54

Let

x ----> the percentage of the difference

\frac{100\%}{\$90}=\frac{x}{\$54}\\\\x=54(100)/90\\\\x=60\%

8 0
3 years ago
A car rental agency has 150 cars. The owner finds that at a price of $48 per day, he can rent all the cars. For each $2 increase
hram777 [196]
Given that for each <span>$2 increase in price, the demand is less and 4 fewer cars are rented.

Let x be the number of $2 increases in price, then the revenue from renting cars is given by
(48 + 2x) \times (150 - 4x)=7,200+108x-8x^2.

Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by
5(150-4x)=750-20x

Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>(7,200+108x-8x^2)-(750-20x)=6,450+128x-8x^2

For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>\frac{d}{dx} (6,450+128x-8x^2)=0 \\  \\ 128-16x=0 \\  \\ x= \frac{128}{16} =8

The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.

Therefore, the </span><span>rental charge will maximize profit is $64.</span>
3 0
3 years ago
Jason is mikes older brother. the sum of their ages is 25. the differnece in their ages is 7 write the system of equation that r
Jet001 [13]

Answer:

Equation 1: m+j=25

Equation 2: j=m+5


I hope this helps! Good luck! <3


-YAND3R3


5 0
3 years ago
Write a system of equations to describe the situation below. Sparkles the Clown makes balloon animals for children at birthday p
almond37 [142]

Answer:

3.

Step-by-step explanation:

Let's break it down.

Sparkles used 12 balloons total to make 4 balloon animals. Divide 12 by 4, and you will get 3.

What I did for part 2 of the equation, is I multiplied 4 and 5 by 3 to ensure the variable matched my calculations. 4x3 is 12, and 5x3 is 15. add 12 and 15, and you will get 27 total balloons.

5 0
3 years ago
Read 2 more answers
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