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IrinaK [193]
3 years ago
15

The value of y varies directly with x, and y= -10 when x=40. Identify the value of y when x=-5

Mathematics
1 answer:
scoray [572]3 years ago
8 0

Answer:

y = 1.25

Step-by-step explanation:

Use the direct variation equation y = kx, and solve for k:

y = kx

-10 = k(40)

-0.25 = k

So, the equation is y = -0.25x. Solve for y when x = -5

y = -0.25x

y = -0.25(-5)

y = 1.25

So, y = 1.25 when x = -5

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Answer:75

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The equation would be:
y = 4x + 3

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Write the ratio 4 L : 5.6 L as a fraction in the simplest form with whole numbers in the numerator and denominator
Fiesta28 [93]

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Step-by-step explanation:

It's 5/7

You get that by having a calculator that does that. If you don't then the way to do it is multiply the numerator and denominator by 1.25

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2 years ago
Assume the sample below is a perfectly random sample of students at a school. How much greater is the mean of the
igor_vitrenko [27]

Answer:

0.75

Step-by-step explanation:

The table is not well presented (See Attachment)

There are at least two approaches to this question

Method 1:  

Steps

1. Calculate the mean of reported heights

Mean of reported heights = (61+68+57.5+48.5+75+65+80+68+69+63)/10

Mean of reported heights = 655/10

Mean of reported heights = 65.5

2. Calculate the mean of measured heights

Mean of measured heights = (62 + 68 + 56.5 + 47 + 72 + 65 + 78 + 67 + 69.5 + 62.5)/10

Mean of measured heights = 647.5/10

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3. Get their difference

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Method 2: Calculate the mean of their difference

Mean of difference = Sum of difference / Number of observations

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Note that in both cases, the result is 0,75.

Hence, the reported heights at the school is 0.75 greater than the actual measured height

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3 years ago
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Answer:

No, they aren't similar.

Step-by-step explanation:

<u><em>Let's take the proportionality of their sides to check whether they are similar or not:</em></u>

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=> 2 ≠ 3

So, they are not similar.

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