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3 years ago

Determine whether y varies directly with x. If so, find the constant of variable k.

Mathematics

2 answers:

Taya2010 [7]3 years ago

8 0

Answer:

Yes, "y" varies directly with "x"

The constant of variation is: $k=4$

Step-by-step explanation:

Constant variation equation has the following form:

$y=kx$

Where "k" is the constant of variation.

You can notice in the table the when "x" increases, "y" increases and the ratio between them is always the same.

To find "k" you need to pick any a point from the table, subsitutte the coordinates into $y=kx$ and solve for "k". Then:

$24=k(6)\\\\k=\frac{24}{6}\\\\k=4$

alexira [117]3 years ago

8 0

Answer:

y varies directly with x, and the constant of variation is k = 4.

Step-by-step explanation:

If y varies directly with x, then y = kx, where k is the constant of variation.

To determine if y varies directly with x, divide each y value by the corresponding x value. If the result is the same for all the points, then y indeed varies directly with x.

24 / 6 = 4

72 / 18 = 4

216 / 54 = 4

648 / 162 = 4

y varies directly with x, and the constant of variation is k = 4.

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Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in th

mihalych1998 [28]

Question:

1. The females worked less than the males, and the female median is close to Q1.

2. There is a high data value that causes the data set to be asymmetrical for the males.

3. There are significant outliers at the high ends of both the males and the females.

4. Both graphs have the required quartiles.

Answer:

The correct option is;

1. The females worked less than the males, and the female median is close to Q1

Step-by-step explanation:

Based on the given data, we have;

For males

Minimum = 0

Q1 = 1

Median or Q2 = 20

Q3 = 25

Maximum = 50

For females;

Minimum = 0

Q1 = 5

Median or Q2 = 6

Q3 = 10

Maximum = 18

Therefore, the values of data that affect the statistical measures of spread and center are that

The females worked less than the males as such the statistical data for the females have less variability than the males in terms of interquartile range

Also the female median is very close to Q1, therefore it affects the definition of a measure of center.

5 0

3 years ago

Can you solve this step by step please

cluponka [151]

Answer:

$(6.8 + 3.4) \times {10}^{6} \\ \\ 10.2 \times {10}^{6} \\ \\ 1.02 \times {10}^{7}$

I hope I helped you^_^

8 0

3 years ago

Someone please help me find x.

AlladinOne [14]

The picture isn’t clear enough

7 0

3 years ago

Read 2 more answers

Find the value of x, rounded to the nearest tenth <br> A. 24.5<br> B. 18<br> C. 16.1<br> D. 2

Strike441 [17]

Answer:

B. 18

Step-by-step explanation:

Given:

There are two chord in the circle.

These chords are divided in two segments.

Segments of 1 chord is 21 and 6.

Segments of 2 chord is x and 7.

Now by using Intersecting Chord Theorem which states,

"When two chords intersect each other inside a circle, the products of their segments are equal."

Hence from above theorem we can say that;

$x\times7=21\times6\\7x = 126\\x= \frac{126}{7}\\x=18$

Hence the Value of x is 18.

8 0

3 years ago

Standard deviation of 300, 785, 670, 187, 760, 724

White raven [17]

STEP 1

Mean = $\frac{300+785+670+187+760+724}{6} = \frac{3426}{6}=571$

STEP 2

Subtract the mean from each data value then square the answer
$300-571=-271$ ⇒ $(-271)^{2} =73441$
$785-571=214$ ⇒ $(214)^{2}=45796$
$670-571=99$ ⇒ $(99)^{2}=9801$
$187-571=-384$ ⇒ $(-384)^{2} =147456$
$760-571=189$ ⇒ $189^{2}=35721$
$724-571=153$ ⇒ $153^{2} =23409$

STEP 3

Add the squared answers in STEP 2 then find the mean

$\frac{73441+45796+9801+147456+35721+23409}{6}= \frac{335624}{6}=55937.3$

STEP 4

Square root the answer in STEP 3
$\sqrt{55937.3} =236.5$

Standard deviation is 236.5

7 0

3 years ago