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DaniilM [7]
3 years ago
9

X/3=x+2/5 soo...x=___

Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0
X/3 = x + 2/5....multiply everything by common denominator of 15
5x = 15x + 6
5x - 15x = 6
-10x = 6
x = -6/10 reduces to - 3/5

or...
x/3 is the same as 1/3x

1/3x = x + 2/5
1/3x - x = 2/5
1/3x - 3/3x = 2/5
-2/3x = 2/5
x = 2/5 * -3/2
x = - 6/10 which reduces to - 3/5
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7 because if u add 4 and 3 that's what u end up with
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3 years ago
A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Evgen [1.6K]

Answer:

a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.

b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.

About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.

Step-by-step explanation:

We have to calculate a 90% confidence interval for the proportion.

The sample proportion is p=0.6619.

p=X/n=370/559=0.6619

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.6619*0.3381}{559}}\\\\\\ \sigma_p=\sqrt{0.0004}=0.02

The critical z-value for a 90% confidence interval is z=1.6449.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.6449 \cdot 0.02=0.0329

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.6619-0.0329=0.6290\\\\UL=p+z \cdot \sigma_p = 0.6619+0.0329=0.6948

The 90% confidence interval for the population proportion is (0.6290, 0.6948).

3 0
3 years ago
A line passes through the points (-3, 14) and (-1, 16). What is its equation in slope-intercept form?​
timurjin [86]

Answer:

y = 6x + 22

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-3, 14)

Point (-1, 16)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{16-14}{-1+3}
  2. Subtract/Add:               m=\frac{12}{2}
  3. Divide:                           m=6

<u>Step 3: Find y-intercept </u><em><u>b</u></em>

  1. Define:                    y = 6x + b
  2. Substitute:              16 = 6(-1) + b
  3. Multiply:                  16 = -6 + b
  4. Isolate <em>b</em>:                 22 = b
  5. Rewrite:                   b = 22

<u>Step 4: Write linear equation</u>

y = 6x + 22

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Answer:

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Step-by-step explanation:

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to get 90 students you multiply by 9.

8x9 is 72.

6 0
3 years ago
Read 2 more answers
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