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lianna [129]
3 years ago
12

Which of the following is the missing justification?

Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

Answer:

The correct answer is Option A: Multiplication Property of Equality

Step-by-step explanation:

Given equation is:

\frac{1}{5}x+6 = 5

The given equation is a linear equation in one variable. Different equality properties are used to solve equations like these.

First of all the denominator with 1/5x has to be eliminated for which the whole equation will be multiplied by 5

5 * \frac{1}{5}x + 5* 6 = 5*5\\x+30= 25

This property is called multiplication property of equality.

Hence,

The correct answer is Option A: Multiplication Property of Equality

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Help with direct variations
Alla [95]
1 variation is good and the other is bad
4 0
3 years ago
A researcher was interested in comparing the resting pulse rates of people who exercise regularly and people who do not exercise
DiKsa [7]

Answer:

We Reject H₀ if t calculated > t tabulated

But in this case,

0.83 is not greater than 2.056

Therefore, we failed to reject H₀

There is no difference between the mean pulse rate of people who do not exercise and the mean pulse rate of people who do exercise.

Step-by-step explanation:

Refer to the attached data.

The Null and Alternate hypothesis is given by

Null hypotheses = H₀: μ₁ = μ₂

Alternate hypotheses = H₁: μ₁ ≠ μ₂

The test statistic is given by

$ t = \frac{\bar{x}_1  - \bar{x}_2}{\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } }  $

Where \bar{x}_1 is the sample mean of people who do not exercise regularly.

Where \bar{x}_2 is the sample mean of people who do exercise regularly.

Where s_1 is the sample standard deviation of people who do not exercise regularly.

Where s_2 is the sample standard deviation of people who do exercise regularly.

Where n_1 is the sample size of people who do not exercise regularly.

Where n_2 is the sample size of people who do exercise regularly.

$ t = \frac{72.7  - 69.7}{\sqrt{\frac{10.9^2}{16} + \frac{8.2^2}{12} } }  $

t = 0.83

The given level of significance is

1 - 0.95 = 0.05

The degree of freedom is

df = 16 + 12 - 2 = 26

From the t-table, df = 26 and significance level 0.05,

t = 2.056 (two-tailed)

Conclusion:

We Reject H₀ if t calculated > t tabulated

But in this case,

0.83 is not greater than 2.056

Therefore, We failed to reject H₀

There is no difference between the mean pulse rate of people who do not exercise and the mean pulse rate of people who do exercise.

4 0
2 years ago
Can somebody please help me with this
Elodia [21]
Number 2. x=5/3 and y=5
number 4. x=7/3 and y=-5
that's all i could answer. and for number 1 x=-3
7 0
3 years ago
The cost of kg of apples is $262.50. find the cost of 25 kg of apples
SashulF [63]

Answer:

Step-by-step explanation:

cost of 25 kg =262.50x25

                      =6562.5

5 0
1 year ago
Cuales son las raíces solución de la ecuación x^2-5x+4=0
Pepsi [2]
2x - 5x + 4 = 0
- 3x = - 4
x = 4/3
7 0
3 years ago
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