which statement is true about the equations –3x 4y = 12 and x1/4 – 1/3y = 1? the system of the equations has exactly one solutio
1 answer:
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Answer:
I'm just trying to make this as simple as possible for you.
The value of m is 5.
How?
We must follow a few simple methods to solve this problem.
Well, four to be precise.
All we need to do is add 4 to both sides of the equation, or
Then, we simply by adding the numbers together to get -5m = 36 + 4, or, 40.
Following that, we divide both sides of the equation by the same term, giving us the equation −
5 = 4
0 -5m=40
−5m=40 − 5 − 5 = 4 0 − 5 The -5's go under the numbers like a fraction.
Then, we cancel the terms that are in both the numerator and denominator.
−
5
−
5
=
4
0
−
5
=
4
0
−
5
Fractions same as last part.
Finally, we divide.
=
4
0
−
5
m={\color{#c92786}{\frac{40}{-5}}}
m=40 - 5
= − 8
Please mark me brainliest if this had helped!
Sincerely, didntask
Answer:
1. B. H0: μ1−μ2=0, HA: μ1−μ2≠0
2. z=1.2114
3. P-value=0.2257
4. Do not reject H0
Step-by-step explanation:
We have to perfomr an hypothesis test to see if there is strong evidence that there is a significant difference between the two population means.
The null and alternative hypothesis are:
Being μ1 the mean average gain for younger mothers and μ2 the mean average gain for mature mothers.
(NOTE: we are comparing means, not proportions, as it is the random variable is the weight gain).
As we are claiming "strong evidence", the level of significance will be 0.01.
For younger mothers, the sample size is n1=840, the sample mean is 30.7 and the sample standard deviation is s1=14.91.
For mature mothers, the sample size is n2=132, the sample mean is 29.15 and the sample standard deviation is s2=13.46.
The difference between means is
The standard error of the difference between means is
Then, the statistic can be calculated as:
The P-value for this z-statistic in a two tailed test is:
As the P-value is greater than the significance level, the null hypothesis failed to be rejected.
There is no enough evidence to claim that the real average weight gain differs from mature and youger mothers.