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kolbaska11 [484]
3 years ago
8

Examine the system of equations. Which is an equivalent form of the first equation that when added to the second equation elimin

ates the y terms? Negative StartFraction 5 Over 8 EndFraction x + three-fourths y = 12 8 x + 12 y = 11
Mathematics
1 answer:
seraphim [82]3 years ago
8 0

Answer:

10x - 12y = 192

Step-by-step explanation:

Given the equation :

-5/8x + 3/4y = 12 - - - (1)

8x + 12y = 11 ___(2)

The equivalent form of the first equation which can eliminate the y term :

Multiply (1) by - 16 :

-5/8x * - 16 + 3/4y * - 16 = 12 * - 16

10x - 12y = 192

Hence, Adding the obtained equation and equation(2) will eliminate.

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A local company is concerned about the number of days missed by its employees due to ill ness. A Random Sample of 10 employees i
sukhopar [10]

Answer:

The incentive program does not cuts down on the number of days missed by employees.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

A paired <em>t</em>-test would be used to determine whether the incentive program cuts down on the number of days missed by employees.

The hypothesis for the test can be defined as follows:

<em>H₀</em>: The incentive program does not cuts down on the number of days missed by employees, i.e. <em>d</em> ≥ 0.

<em>Hₐ</em>: The incentive program cuts down on the number of days missed by employees, i.e. <em>d</em> < 0.

From the information provided the data computed is as follows:

 n=10\\\bar d=-1.1\\SD_{d}=2.99

Compute the test statistic value as follows:

 t=\frac{\bar d}{SD_{d}/\sqrt{n}}

   =\frac{-1.1}{2.99/\sqrt{10}}\\\\=-1.16

The test statistic value is -1.16.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value of the test as follows:

p-value=P(t_{n-1}

*Use a t-table.

The p-value of the test is 0.1379.

The p-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.

Thus, there is not enough evidence to support the claim.

Conclusion:

The incentive program does not cuts down on the number of days missed by employees

4 0
3 years ago
A. What percent of data is greater than the 13th percentile?
Vladimir79 [104]

Answer:

a) Almost 87% of the distribution is greater than the 13th percentile.

b) This indicates that the distribution is symmetrical. This doesn't necessarily mean that the distribution is a normal distribution, but it is clear that the distribution is symmetrical.

c) This indicates that the distribution is rich skewed or positively skewed.

d) The third number that makes the mean 12 = 1.

e) The standard deviation is the square root of variance.

f) 3600 people that sat for the exam had a score at least as high as the 55th percentile's score.

Step-by-step explanation:

a) What percent of data is greater than the 13th percentile?

The percentile serves to group a data distribution into 100 equal spaces parts. It represents the value or the point below which a particular proportion of the distribution falls.

The 13th percentile thus represent a value or a point in the distribution that is higher than 13% of the distribution.

Hence, the percentage of data greater than the 13th percentile will be just about (100-13)%, almost 87% of the distribution will be greater than the 13th percentile.

b. If the mean, median, and mode for a data set are all the same, what can you conclude about the data’s distribution?

If all the three major measures of the centre of a distribution all coincide at the same point/value, it indicates that the distribution is symmetrical. This doesn't necessarily mean that the distribution is a normal distribution, but it is clear that the distribution is symmetrical.

c. If the mean is greater than the mode and median for a data set, what can you conclude about the data’s distribution?

The mean greater than the median and mode mean that distribution is rightly/positively skewed.

d. Mean of 3 numbers is 12. Two of them are 15 and 20. What is the third number?

The mean is the sum of variables divided by the number of variables

Mean = = (Σx)/N

x = each variable

Let the unknown third number be y

N = number of variables = 3

12 = (15 + 20 + y)/3

35 + y = 36

y = 36 - 35 = 1

e. What is the relationship between variance and standard deviation?

The variance is an average of the squared deviations from the mean.

The standard deviation is the square root of variance.

f. You scored in the 55th percentile on the GRE. If 8,000 people took the GRE, how many people had a score at least as high as your score?

Like I explained in (a), scoring 55th percentile mean that one has scored more than 55% of the people that sat for the exam.

So, the percentage of people that score as much as the 55th percentile will be the top (100-55)% of people thay sat for the exam.

45% of 8000 = 3600 people.

3600 people had a score at least as high as the 55th percentile's score.

Hope this Helps!!!

3 0
3 years ago
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