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2 years ago

Express in the form 1:n 3:12

Mathematics

1 answer:

Troyanec [42]2 years ago

6 0

Answer:

1:4

Step-by-step explanation:

Given

3: 12

To express in the form 1:n

Consider how to make 3 equal to 1, we simply divide 3 by 3 to get 1 as such, we would also divide 12 by 3

3:12

= 3/3:12/3

= 1:4

Comparing with 1:n, it is safe to say that n = 4

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A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 209 times. The observed freque

ddd [48]

Answer:

Step-by-step explanation:

Given that the observed frequencies for the outcomes as follows:

To check this we can use chi square goodness of fit test.

$H_0: equally likely\\H_a: not equally likely$

(Two tailed test at 5% significance level)

Assuming equally likely expected observations are found out and then chi square is calculated as (0-E)^2/E

Df = 6-1 =5

Outcome Frequency Expected frequency (Obs-exp)^2/Exp

1 36 34.83333333 0.03907496

2 30 34.83333333 0.670653907

3 41 34.83333333 1.091706539

4 40 34.83333333 0.766347687

5 23 34.83333333 4.019936204

6 39 34.83333333 0.498405104

209 209 7.086124402

p value =0.214

Since p >alpha, we accept null hypothesis

It appears that the loaded die does not behave differently than a fair die at 5% level of significance

5 0

3 years ago

Write an equation passing through the point and perpendicular to the given line: (-3,5);y = 3/4x-4

balandron [24]

Hey!

So the first thing we realize is that it says that the equation is perpendicular to the line, meaning that the slope of the line is the negative reciprocal of the slope of the line you are given. Since we are given the slope of this line as 3/4 we can take the negative reciprocal of this to get -(4/3).

Now that we have the slope and a point on the line you can plug those into the equation y = mx + b to find b. The slope of the line is m and the point contains the x and y values.

5 = -(4/3)(-3) + b

5 = 4 + b

1 = b

Since we have the y-intercept and the slope now we can plug that into the slope-intercept form equation to get the equation we need:

y = -(4/3)x + 1

7 0

3 years ago

Solve for X x/7 = -8 Please help!!! Worth 20 points!!! I need an answer ASAP!!!

Vikentia [17]

Answer:

x = -56

Step-by-step explanation:

x/7 = -8

Multiply each side by 7

x/7 *7 = -8*7

x = -56

8 0

3 years ago

In a cave, a stalactite gets 44 millimeters longer each year. this year it is 72 centimeters long. how many years until it is 1

iragen [17]

Answer:

6.36 years (the .36 repeats), so rounded is 6.4.

Step-by-step explanation:

First, I'm going to convert all measurements to meters.

Since 1000 mm = 1 m, divide 44 by 1000.

44/1000 = 0.044 m

Since 100 cm = 1 m, divide 72 by 100.

72/100 = 0.72 m

Next, I'm going to setup an equation using y = mx + b.

b is the beginning amount which is 0.72.

m in the equation represents the rate which is 0.044.

y represents the total which is 1.

Plugin the numbers and solve for x.

1 = 0.044x + 0.72

1 - 0.72 = 0.044x + 0.72 - 0.72

0.28 = 0.044x

0.28/0.044 = 0.044x/0.044

6.36 = x

7 0

2 years ago

Graph: y< 1/3x 2 Show Me Draw

charle [14.2K]

Answer:

i dont understand please provide more info

Step-by-step explanation:

okay?

7 0

3 years ago