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ICE Princess25 [194]
2 years ago
12

Ax - b = c for x. ..........................​

Mathematics
2 answers:
Brums [2.3K]2 years ago
8 0

Answer:

17 for x

Step-by-step explanation:

pls give me brainliest im almost lvled up

grandymaker [24]2 years ago
4 0

Answer:x=\frac{c+b}{a}

ax-b=c

add b

ax-b+b=c+b

ax=c+b

divide a

ax÷a=c+b÷a

x=\frac{c+b}{a}

I hope this is good enough:

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At a large Midwestern university, a simple random sample of 100 entering freshmen in 1993 found that 20 of the sampled freshmen
guajiro [1.7K]

Answer:

The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

p1 -> 1993

20 out of 100, so:

p_1 = \frac{20}{100} = 0.2

s_1 = \sqrt{\frac{0.2*0.8}{100}} = 0.04

p2 -> 1997

10 out of 100, so:

p_2 = \frac{10}{100} = 0.1

s_2 = \sqrt{\frac{0.1*0.9}{100}} = 0.03

Distribution of p1 – p2:

p = p_1 - p_2 = 0.2 - 0.1 = 0.1

s = \sqrt{s_1^2+s_2^2} = \sqrt{0.04^2 + 0.03^2} = 0.05

Confidence interval:

p \pm zs

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.  

The lower bound of the interval is:

p - zs = 0.1 - 1.645*0.05 = 0.01775


The upper bound of the interval is:

p + zs = 0.1 + 1.645*0.05 = 0.18225


The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

6 0
3 years ago
The height of the rectangle and the triangle are the same. The base of the triangle is half the base of the rectangle.
Lina20 [59]
<h2>Answer: C 375 cm²</h2>

Step by step explanation: The last answer i wrote was wrong, so i retook the quiz and got 100% and this was right.

4 0
1 year ago
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slop
Masteriza [31]

[ y - 4 = x - 8 ]  is not the equation of the line that goes through
those two points.  The first point  (8, 4)  is on the graph of that
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The slope/intercept equation of the line that passes through
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The slope/intercept form of   [ y - 4 = x - 8 ]  is

                                          y = x - 4 .  

5 0
3 years ago
If p = (-1,6) find: Rx-axis (P) HELP NEEDED ASAP
eimsori [14]

Answer:what grade is this for?

Step-by-step explanation:

?

6 0
2 years ago
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Anit [1.1K]
D is the answer.
6×6-10=26
4 0
3 years ago
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