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3 years ago

The table shows equivalent ratios. Find the missing numbers in the table.

Mathematics

1 answer:

Lesechka [4]3 years ago

6 0

Answer:

(2,8) and (8,32)

Step-by-step explanation:

ratios can be written as x:y or x/y

so look at what is given

(4,16)....4/16 reduces to 1/4

(6,24)...6/24 reduces to 1/4

so the pattern is ur either dividing y by 4 and getting x....or ur multiplying x by 4 and getting y

and since ur other 2 points given dont have y, we will multiply x by 4 to get y.

(2,y).....lets multiply x, which is 2, by 4......2 * 4 = 8

so ur point is (2,8)

(8,y).....multiply x, which is 8, by 4.....8 * 4 = 32

so ur point is (8,32)

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3 years ago

Let x represent any year. Write an inequality in terms of x and 1610

SCORPION-xisa [38]

The year of the empire fell = 1610.

We are given x as a variable that represents the year after the given year 1610.

We need to setup an inequality for this situation.

Please note: The year after the year number 1610 will have a number that greater than 1610.

Let us make a statement for inequality to be written.

"The year after the 1610 is greater than 1610".

The year after the 1610 is x and gerater than symbol is >.

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3 years ago

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3 years ago

A diameter of a circle has endpoints P(-10,-2) and Q(4,6).

Lesechka [4]

Check the picture below.

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{-10}~,~\stackrel{y_1}{-2})\qquad Q(\stackrel{x_2}{4}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{4-10}{2}~~,~~\cfrac{6-2}{2} \right)\implies \left( \cfrac{-6}{2}~,~\cfrac{4}{2} \right)\implies \stackrel{\textit{center}}{(-3~,~2)} \\\\[-0.35em] ~\dotfill$

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{\textit{center}}{(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})}\qquad Q(\stackrel{x_2}{4}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[4-(-3)]^2+[6-2]^2}\implies r=\sqrt{(4+3)^2+(6-2)^2} \\\\\\ r=\sqrt{49+16}\implies r=\sqrt{65} \\\\[-0.35em] ~\dotfill$

$\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-3}{ h},\stackrel{2}{ k})\qquad \qquad radius=\stackrel{\sqrt{65}}{ r} \\[2em] [x-(-3)]^2+[y-2]^2=(\sqrt{65})^2\implies (x+3)^2+(y-2)^2=65$

5 0

3 years ago

In a T-test, if your n=459, your DF is: A. 459 B. 460 C. 458 D. A&C

Stels [109]

Answer:

DF = 458

Step-by-step explanation:

In statistics, T-test have an extensive application. T-tests are used in hypothesis testing or inference about the population mean when the population standard deviation is not known. Nevertheless, they are used in making inference in paired samples or dependent samples t-test as well as independent samples.

The degrees of freedom, DF, is a characteristic of the student's t distribution which is used in T-tests. In a simple T-test;

DF = n - 1

where n is the sample size

Given n is 459, DF = 459 - 1 = 458

Therefore, DF = 458

6 0

3 years ago