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nata0808 [166]
1 year ago
13

Describe a way to check the correctness of a subtraction answer.

Mathematics
1 answer:
Tamiku [17]1 year ago
3 0

Step-by-step explanation:

Well in general, we can represent subtraction as: x-y=z

"z" represents the difference, and it really just represents x with y taken away. So if we were to "give back" this y value, we should get "x".

This means that: z+y=x

So one way to check, is adding the value that's being subtracted (y value) and the difference (z value), this should get you the value that is being subtracted from (x value). If you don't get the original value that's being subtracted from (x-value) then you know the answer you got is wrong.

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In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0 respectively. If the coefficient sk
RUDIKE [14]

Answer:

a) The third quartile Q₃ = 56.45

b) Variance \mathbf{ \sigma^2 =2633.31}

Step-by-step explanation:

Given that :

Q_1  =  30.8

Median Q_2 =  48.5

Mean  = 42

a) The mean is less than median; thus the expression showing the coefficient of skewness is given by the formula :

SK = \dfrac{Q_3+Q_1-2Q_2}{Q_3-Q_1}

-0.38 = \dfrac{Q_3+30.8-2(48.5)}{Q_3-30.8}

-0.38Q_3  + 11.704  =  Q_3  +30.8  - 97

1.38Q_3  =  77.904

Divide both sides by 1.38

Q_3 = 56.45

b) The objective here is to determine the approximate value of the variance;

Using the relation

SK_p = \dfrac{Mean- (3*Median-2 *Mean) }{\sigma}

-0.38= \dfrac{42- (3 *48.5-2*42) }{\sigma}

-0.38= \dfrac{(-19.5) }{\sigma}

-0.38* \sigma = {(-19.5) }{}

\sigma =\dfrac {(-19.5) }{-0.38 }

\sigma =51.32

Variance =  \sigma^2 =51.32^2

\mathbf{ \sigma^2 =2633.31}

7 0
3 years ago
A car is priced at $7200 after a 10% discount then a 20% additional discount. What is the original price of the car?
viktelen [127]
X - 0.1x - 0.2(x - 0.1x) = 7200   where x = original price.

0.9x - 0.2x + 0.02x = 7200

0.72x = 7200

x = 7200 / 0.72 = $10,000   Answer
5 0
3 years ago
What is the coefficient of y in the expression 1 ⋅ 4 + 7y?
kow [346]

Answer:

7

Step-by-step explanation:

The coefficient of a variable is simply the number it's being multiplied by or the number that is in front of it. In this case, the coefficient of y is 7.

4 0
3 years ago
this sounds and looks weird. The probability of the name of a day of the week ending in the letter “y” is _____.
Bond [772]
I think B because mondaY tuesdaY wednesdaY thursdaY fridaY saturdaY sundaY
5 0
3 years ago
In simplest radical form, what are the solutions to the quadratic equation 6 = x2 - 10/?
pickupchik [31]

Answer:

x = 5 \± \sqrt{31}

Step-by-step explanation:

Given

6 = x^2 - 10x

Required

The solution in radical form

6 = x^2 - 10x

Rewrite as:

x^2 - 10x - 6 = 0

Using the quadratic formula, we have:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

Where

a = 1

b = -10

c = -6

So, we have:

x = \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*(-6)}}{2*1}

x = \frac{10 \± \sqrt{100 +24}}{2*1}

x = \frac{10 \± \sqrt{124}}{2}

Split the roots

x = \frac{10 \± \sqrt{4 * 31}}{2}

Express \sqrt 4 as 2

x = \frac{10 \± 2\sqrt{31}}{2}

Split the fraction

x = \frac{10}{2} \± \frac{2\sqrt{31}}{2}

x = 5 \± \sqrt{31}

5 0
3 years ago
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