All categories

2 years ago

Solve the system of equations with substitution or elimination method. please help 2x+y=4 and 6x+7y=12

Mathematics

2 answers:

GuDViN [60]2 years ago

8 0

Answer:

x=2-y/2

y=12/7-6x/7

Step-by-step explanation:

klemol [59]2 years ago

4 0

I solved using elimination, multiplying the first equation by -3. My work is shown in the attached image.
x=2
y=0

You might be interested in

Karen purchased fabric for a project she is working on. She bought 3 yards of fabric. Each yard cost $6.68. How much money did K

Juli2301 [7.4K]

Answer:

$20.04

Step-by-step explanation:

$6.68 x 3 = $20.04

3 0

3 years ago

Read 2 more answers

CD contains the points C at 4, D at 0, and E at 2.

horsena [70]

Answer:

the length of CD is 4

the length of DE is 2

the ratio of CD to DE is 2:1

Step-by-step explanation:

8 0

3 years ago

A manufacturer uses production method to produce steel rods. A random sample of 17 steel rods resulted in lengths with a standar

Arisa [49]

Answer:

$\chi^2 =\frac{17-1}{12.15} 22.09 =15.87$

Traditional method

We can find a critical value in the chi square distribution with df =16 who accumulates $\alpha/2 =0.05$ of the area on each tail and we got:

$\chi^2_{crit}= 7.962$

$\chi^2_{crit}=26.296$

Since the calculated value is between the two critical values we don't have enough evidence to conclude that the true deviation is NOT significantly different from 3.5 cm

Confidence level method

We can find the p value like this

$p_v =2*P(\chi^2 >15.87)=0.92$

Since the p value is higher then the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is NOT significantly different from 3.5 cm

Step-by-step explanation:

Data provided

$n=17$ represent the sample selected

$\alpha=0.1$ represent the significance

$s^2 =4.7^2 =22.09$ represent the sample variance

$\sigma^2_0 =3.5^2 =12.15$ represent the value to check

Null and alternative hypothesis

We want to verify if the new production method has lengths with a standard deviation different from 3.5 cm, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 = 12.15$

Alternative hypothesis: $\sigma^2 \neq 12.15$

The statistic for this case is given by:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

The degrees of freedom are:

$df =n-1= 17-1=16$

$\chi^2 =\frac{17-1}{12.15} 22.09 =15.87$

Traditional method

We can find a critical value in the chi square distribution with df =16 who accumulates $\alpha/2 =0.05$ of the area on each tail and we got:

$\chi^2_{crit}= 7.962$

$\chi^2_{crit}=26.296$

Since the calculated value is between the two critical values we don't have enough evidence to conclude that the true deviation is significantly different from 3.5 cm

Confidence level method

We can find the p value like this

$p_v =2*P(\chi^2 >15.87)=0.92$

Since the p value is higher then the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is significantly different from 3.5 cm

7 0

3 years ago

Enter the numbethat belongs in the green box.What does measure angle b equal?

gladu [14]

Angle B corresponds to angle D, therefore they are equal. To find Angle B's length, add the two known angle measures then subtract the sum from 180. (All angle measures in a triangle equal 180 when added)

32 + 41 = 73

180 - 73 = 107

<h3>Answer:</h3>

<u>Angle B = </u><u>107º </u>

hope this helps :)

4 0

3 years ago

Chandler was a caretaker at the state zoo. He noticed that the number of animals adopted by the zoo increased at a constant rate

Leto [7]

Step-by-step explanation:

i don't see any graphs so i don't know how to help

8 0

3 years ago