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3 years ago

What is the mode of the following set of numbers: 10, 20, 30, 20, 30, 10, 30, 20, 30, 15 *

Mathematics

2 answers:

likoan [24]3 years ago

6 0

Answer:

A. 30

Step-by-step explanation:

Because it showed up the most

Kazeer [188]3 years ago

3 0

Answer:

Mode is 30

Option A.

Step-by-step explanation:

Hope the rest helps if you need it :)

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A line has y intercept -6 and a x-intercept - 12. what is the equation of the line

koban [17]

Answer:

$\boxed{y = -\dfrac{1}{2}x-6}}$

Step-by-step explanation:

The equation for a straight line is

y = mx + b

where m is the slope of the line and b is the y-intercept.

The line passes through the points (-12, 0) and (0, 6)

(a) Calculate the slope of the line

$\begin{array}{rcl}m & =&\dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = &\dfrac{6 - 0 }{0 - (-12)}\\\\& = &\dfrac{6}{-12}\\\\& = & -\dfrac{1}{2}\\\end{array}$

(b) Write the equation

The y-intercept is at x = -6.

$\text{The equation for the line is $\boxed{\mathbf{y = -\dfrac{1}{2}x-6}}$}$

The diagram shows the graph of the line passing through the two intercepts.

5 0

3 years ago

Suppose that $p$ and $q$ are positive numbers for which \[\log_9 p = \log_{12} q = \log_{16} (p + q).\] what is the value of $q/

SVEN [57.7K]

Given $p,q>0$ and $\log_9p=\log_{12}q=\log_{16}(p+q)=x$ (say).

Then,

$p=9^x\\ q=12^x\\ p+q=16^x$

From the above 3 equations,

$\frac{q}{p} =(\frac{12}{9} )^x\\ \frac{q}{p} =(\frac{4}{3} )^x\\ \frac{p+q}{p} =(\frac{16}{9} )^x\\ \frac{p+q}{p} =(\frac{4}{3} )^{2x}\\$

From the equations, we get

$\frac{p+q}{p}=(\frac{q}{p})^2\\ 1+\frac{q}{p}=(\frac{q}{p})^2\\ (\frac{q}{p})^2-\frac{q}{p}-1=0\\ \frac{q}{p}=\frac{1 \pm \sqrt{5}}{2}$

Since $p,q>0$ , the negative value is rejected.

$\frac{q}{p}=\frac{1 + \sqrt{5}}{2}$

3 0

3 years ago

What is the k’s meaning in k over 5 = 5

ELEN [110]

Answer:

Step-by-step explanation

5 times 5 is 25

(To make problems like this easier just multiply the denominator by the result, take this problem for example, the denominator is 5 and the result is 5 so just multiply those and you get 25)

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2 years ago

Find the measure of angle Y. A. 115° B. 65° C. 43° D. 22°

Gala2k [10]

Answer:

The answer is B. 65

Step-by-step explanation:

add 43 and 22, then subtract that by 180 and that will give you 115. Then subtract 180 and 115 and the answer is 65.

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2 years ago

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3 years ago