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3 years ago

In the rhombus m 1=15x, m 2=x+y, m 3=30z Find The Value of each variable

Mathematics

2 answers:

larisa86 [58]3 years ago

8 0

Answer:

The value of each variable is:

x= 1/15 or 0.066666667
y= 1.9333333
z= 0.1

Step-by-step explanation:

To identify each of the variables you just have to adequately clear the equation provided as I show you below:

First equation to identify x: 1=15x

Clear x by passing the number 15 that is multiplying on one side of the equation, to divide on the other side:

1/15= x or x= 1/15

you can leave the value as fractional or decimal, in which case you just have to do the division.

Now you take the second equation:

2=x+y.

You use this equation to clear the variable y, since you already identified the variable x with the previous equation, then first replace the values you already know:

2= (1/15)+y

Remember that thanks to the commutative law of addition, write x + y is the same as writing y + x, so let's change that order so you don't get confused later:

2= y+(1/15)

Since the value of x is adding, you can pass it to the other side to subtract and operate it:

2-(1/15)= y
1.9333333= y or y= 1.9333333

Now we bring the third equation to identify z:

3= 30z

To identify the z, a process similar to that performed with the first equation is made, that is, to pass the number that is multiplying to the other side to divide:

3/30= z
0.1= z or z= 0.1

Sonbull [250]3 years ago

4 0

First one m = .0666666
second one i don't know
third one is .1

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What is -2(x + 7) in math

rewona [7]

Apply the distributive property, which says that a(b+c)= ab+ac.

-2(x+7)= -2(x)+ -2(7)

-2(x)= -2x
-2(7)=-14

Put it together.

Final answer: -2x-14

5 0

3 years ago

A city council member wanted to know how her constituents felt about a planned resining she randomly selected 75 names from the

Arturiano [62]

Answer:

Step-by-step explanation:

Hello!

A city council member wanted to know how her constituents felt about a planned rezoning. She randomly selected 75 names from the city phone directory and conducted a phone survey.

Identify the population and sample in this setting.

The population of interest is confirmed by all the individuals or experimental units that the researcher wants to study. The sample is normally a portion of the population randomly selected and representative of it. Since in most cases it is impossible to study the whole population the sample is taken. Then after the experiment is conducted, the conclusions reached are extrapolated to the whole population.

Normally is easier to identify the sample first and then the population, in this example, the sample is "75 names from the city phone directory" then the population will be "people registered in the city phone directory"

The correct option is the first one.

> The population is everyone listed in the city phone directory; the sample is the 75 people selected. CORRECT

> The population is residents of the city; the sample is the registered voters in the city. INCORRECT

> The population is registered voters in the city; the sample is everyone listed in the city phone directory. INCORRECT

I hope this helps!

4 0

3 years ago

Using the following set of data, calculate the lower quartile, the upper quartile, and the interquartile range. 20, 22, 25, 28,

Rufina [12.5K]

lower quartile upper quartile
{20, 22, 25, 28, }29,{ 30, 32, 33, 34}
| | |
Q1-(23.5) Q2(29) Q3(32.5)

Interquartile range= Q3-Q1=32.5-23.5=9

3 0

3 years ago

The mean waiting time at the drive-through of a fast-food restaurant from the time the food is ordered to when it is received is

alexira [117]

Answer:

a) And if we replace we got: $\bar X= 78$

$s = 15.391$

b) $78-3.25\frac{15.391}{\sqrt{10}}=62.182$

$78-3.25\frac{15.391}{\sqrt{10}}=93.818$

So on this case the 99% confidence interval would be given by (62.182;93.818)

Step-by-step explanation:

Dataset given: 109 67 58 76 65 80 96 86 71 72

Part a

For this case we can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got: $\bar X= 78$

And the deviation is given by:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got $s = 15.391$

Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=10-1=9$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,9)".And we see that $t_{\alpha/2}=3.25$