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Mashutka [201]
2 years ago
12

Question 1: What is the solution to the system of equations? ( Look at the picture) Answer part A and Part B. ( Will Mark Brainl

iest). ​

Mathematics
2 answers:
Liula [17]2 years ago
7 0

Answer:

Step-by-step explanation: Part A:

3x−6y=−12;x−2y=−8

Rewrite equations:

x−2y=−8;3x−6y=−12

Step: Solvex−2y=−8for x:

x−2y=−8

x−2y+2y=−8+2y(Add 2y to both sides)

x=2y−8

Step: Substitute2y−8forxin3x−6y=−12:

3x−6y=−12

3(2y−8)−6y=−12

−24=−12(Simplify both sides of the equation)

−24+24=−12+24(Add 24 to both sides)

0=12

Answer:

No solutions.

Part B: the lines are parallel

Sunny_sXe [5.5K]2 years ago
3 0

Answer:

x-2y= -8

Step-by-step explanation:

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My sisters age is greater than 40 but less than 50. Her age is divisible by 2, 4, 8, and 12. How old is my sister?
Elodia [21]

Answer:

48

Step-by-step explanation:

48 is divisble by all of them

5 0
3 years ago
Read 2 more answers
29 mint plants and 29 other herb plants at the garden center. Considering this data, how many of the next 62 herb plants stocked
spin [16.1K]

Answer: 31 mint plants

Step-by-step explanation:

         We will have mint plants over total plants:

29/29+29 = 29/58 = 1/2

         Now, we will multiply 62 by 1/2 to guess how many mint plants will be stocked.

62* 1/2 = 31

  We should expect about 31 plants of the total plants to be mint plants.

7 0
2 years ago
What is the are of the parallelogram(look at picture)
victus00 [196]

Answer:

18 cm

Step-by-step explanation:

3 0
3 years ago
Using the Empirical Rule, it is found that:
AveGali [126]

Considering that the mean of the normal distribution is the same as the median, the median is of 88%.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

For the normal distribution, the median is the same of the mean, that is, the median is of 88%.

More can be learned about the Empirical Rule and the normal distribution at brainly.com/question/24537145

#SPJ1

8 0
2 years ago
The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding
Andru [333]

Answer:

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Step-by-step explanation:

Values (x) ∑(Xi-X)^2

----------------------------------

29.1                    0.1702

28.5                  1.0252

28.8                  0.5077

29.4                   0.0127

29.8                  0.0827

29.8                  0.0827

30.1                   0.3452

30.6                   1.1827

----------------------------------------

236.1                 3.4088

Mean = 236.1 / 8 = 29.51

S_{x}=\sqrt{3.4088/(8-1)}=0.6978

Statement of the null hypothesis:

H0: u ≥ 30 the mean wedding cost is not less than $30,000

H1: u < 30 the mean wedding cost is less than $30,000

Test Statistic:

t=\frac{X-u}{S/\sqrt{n}}=\frac{29.51-30}{0.6978/\sqrt{8}}= \frac{-0.49}{0.2467}=-1.9861

Test criteria:

SIgnificance level = 0.05

Degrees of freedom = df = n - 1 = 8 - 1 = 7

Reject null hypothesis (H0) if

t

Finding in the t distribution table α=0.05 with df=7, we have

t_{0.05,7}=2.365

t>-t_{0.05,7} = -1.9861 > -2.365

Result: Fail to reject null hypothesis

Conclusion: Do no reject the null hypothesis

u ≥ 30 the mean wedding cost is not less than $30,000

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Hope this helps!

5 0
3 years ago
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