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swat32
3 years ago
15

Solve the following equation and then check your solution. Show all of your work.

Mathematics
2 answers:
Anika [276]3 years ago
5 0

Answer:

x=17

Step-by-step explanation:

First, Isolate the variable x by transposing it.

24-3x=-27

-3x=-27-24

Add the equation.

-3x=-51

Simplify x by multiplying both sides by 1/-3.

-3x/-3= -51/3

x=17

Wittaler [7]3 years ago
3 0

Answer:

X =17

Step-by-step explanation:

24-3x = -27

collect like terms

-3x = -27 -24( crossing the = sign turns 24 negative)

-3x = -51

divide both sides by the coefficient of x

-3x/-3 = -51/-3( negative signs cancels each other out)

x = 17

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Are there any linear quantities in the chart shown? And if so, what is the slope of said pairs?
VashaNatasha [74]

The chart does not represent a linear quantity

<h3>How to determine if there are linear quantities in the chart shown?</h3>

From the chart, we have the following coordinates

(x, y) = (0.10, 0.14), (0.50, 0.32), (1.00, 0.46), (1.70, 0.59) and (2.00, 0.63)

To determine if the chart is a linear quantity, we simply calculate the slope using the coordinates.

The slope is calculated as:

m = (y2 - y1)/(x2 - x1)

So, we have:

m = (0.32 - 0.14)/(0.50 - 0.10) = 0.45

m = (0.46 - 0.32)/(1.00 - 0.50) = 0.28

In the above computations, the calculated slopes are not equal

Hence, the chart does not represent a linear quantity

Read more about linear equations at:

brainly.com/question/1884491

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7 0
2 years ago
Let ƒ(x) = x2 + 2x and g(x) = 2x. Evaluate the composition (ƒ ∘ g)(2).
Juli2301 [7.4K]

Answer:

Step-by-step explanation:

g(2) = 2(2)= 4

f(4) = 4^2 + 2(4) = 16 + 8 = 24

6 0
3 years ago
Read 2 more answers
"How much do students pay, on average, for textbooks during the first semester in college? From a random sample of 400 students
dezoksy [38]

Answer: The margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

Step-by-step explanation:

Since we have given that

Sample size = 400

Mean = $357.75

Standard deviation = $37.89

At 95% confidence level, z = 1.96

We first find the margin of error.

Margin of error is given by

z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{37.89}{\sqrt{400}}\\\\=3.71

95% confidence interval would be

\bar{x}\pm \text{margin of error}\\\\=357.75\pm 3.71\\\\=(357.75-3.71,357.75+3.71)\\\\=(354.04,361.46)

Hence, the margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

7 0
3 years ago
Help me plz I do not understand
9966 [12]
It is quite simple actually since it is simple division with the negative rules.
Just simplify the problem and use the negatives to determine if it is positive or negative. (two negatives equal a positive and one negative equals a negative)
5 0
3 years ago
Excel computes a two‑sample confidence interval for the difference in proportions just as well and as easily as Minitab and othe
True [87]

Answer:

See ecplanation below

Step-by-step explanation:

False.

On the Data analysis tool from excel we can conduct the following procedures:

Anova: Single Factor

Anova: Two factor with replication

Anova: Two factor without replication

Correlation

Covariance

Descriptive statistics

Exponential smoothing

F-test Two sample for Variances

Fourier analysis

Histogram

Moving Average

Random number generation

Rank and percentile

Regression

Sampling

t test: Paired two sample for means

t tes: Two sample assuming equal variances

t test: Two sample Assuming Unequal Variances

z test: Two sample for means

And as we can see we don't have an specific procedure just to obtain confidence interval for the difference of proportions. We need to remember that if we select a z test in excel, for example the output will contain the confidence associated to the parameter, but for this case is not too easy obtain a confidence interval for the difference of proportion like on a statistical software as (Minitab, R, SAS, etc) since all of these statistical softwares are elaborated in order to conduct all the possible statistical tests and confidence intervals for parameters of interest.

5 0
3 years ago
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