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astra-53 [7]
2 years ago
8

The variables x and y very directly. Use the values to find the constant of proportionality K then write equation that relates t

o x and y. Write any fraction in simplest form. Y equals 20 and X equals 12
Mathematics
1 answer:
lesya [120]2 years ago
4 0

Answer:

k=5/3

Step-by-step explanation:

The variables x and y vary directly. Given that, y = 20 and x = 12

We can write it as :

y=kx

Where k is constant of proportionality

Put the values of x and y

20=12k

k = 20/12

k = 5/3

So, the value of the constant of proportionality is 5/3.

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The age of some lecturers are 42,54,50,54,50,42,46,46,48 and 48 calculate the mean age and standard deviation
rjkz [21]

Answer:

Mean age: 48

Standard deviation: 4

Step-by-step explanation:

a) Mean

The formula for Mean = Sum of terms/ Number of terms

Number of terms

= 42 + 54 + 50 + 54 + 50 + 42 + 46 + 46 + 48+ 48/ 10

= 480/10

= 48

The mean age is 48

b) Standard deviation

The formula for Standard deviation =

√(x - Mean)²/n

Where n = number of terms

Standard deviation =

√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]

= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10

=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10

=√160/10

= √16

= 4

The standard deviation of the ages is 4

3 0
3 years ago
Jovani wanted to switch gyms. Fitness 19 charges a one time $39 cleaning fee and $17 per
Alexxx [7]

Answer:

Hi there!

Your answer is:

It will take 2.2 months for both gyms to be the same amount of money!

Step-by-step explanation:

Fitness 19:

39+ 17x

Anytime Fitness:

50+ 12x

Put them equal to each other:

39+17x = 50+12x

-12x

39+5x = 50

-39

5x = 11

/5

x= 2.2 months

39+17(2.2)= 76.4$

50+12(2.2)= 76.4$

Hope this helps!

8 0
3 years ago
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trapecia [35]
Temperature will be plotted on the y-axis
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hoa [83]

Answer:

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Step-by-step explanation:

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Papessa [141]

Answer:

I think it 1 but I may be wrong

Step-by-step explanation:

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