Ask question

Ask question

All categories

2 years ago

12

jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x becaus

e each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:

2 answers:

Pie2 years ago

8 0

Answer:

$x = \frac{d+c}{a - b}$

Step-by-step explanation:

Equation: $ax – c = bx + d$

Jalil says it is not possible to isolate x because x has a different unknown coefficient.

Victoria t. Victoria believes there is a solution

Solving the equation:

$ax-c = bx + d$

$ax - bx= d+c$

$(a - b)x = d+c$

$x = \frac{d+c}{a - b}$

So, this shows x can be isolated .

Victoria was right .

It was not possible to isolate x if the coefficients of x would be same .

But in the given equation the coefficients of x are not same .

So, Victoria is right.

vladimir1956 [14]2 years ago

4 0

Answer:

Rewrite the expression on the left using the distributive property.

Step-by-step explanation:

You might be interested in

A website randomly creates an initial password for people when they first sign up for an account. The password consists of five

sashaice [31]

This is a non replacement question, so each letter decreases by 1.

No vowels
The question actually starts right here. The preamble tells us that we can only use letters, no numbers, and no symbols. We are not asked to do anything. The first question makes no mention of there being anything special about m. It can be there or it most likely is not. This part of the problem is the first part.

First Part
I'm not going to deal with y. I will declare it to be a consonant.
There are 5 vowels. None of them can be chosen.
21 letters remain (including the m since it has not been limited in any way yet).

21 * 20 * 19 * 18 * 17
================
26 * 25 * 24 * 23 * 22

2441880 / 7893600
0.30934
Note: If your calculator has nPr on it, you can enter 21 nPr 5 to eliminate all the typing.

Second Part
No vowels and the first letter MUST be m
1 * 20 * 19 * 18 * 17/( 26 * 25 * 24 * 23 * 22)
116200/7893600 = 0.01473

Vowels and the first letter m.
1 * 25 * 24 * 23 * 22/ 7893600 = 0.03846

3 0

2 years ago

Read 2 more answers

A politician wants to estimate the proportion of constituents favoring a controversial piece of proposed legislation. suppose th

Volgvan

Answer:

We are given:

Confidence level = 99%. Therefore, the critical value at 0.01 significance level using the standard normal table is given below:

$z_{\frac{0.01}{2}}=2.576$

Margin of error is given in the question as:

$E=0.05$

Since the previous proportion is not given, therefore, we need to assume $\hat{p} = 0.5$

Therefore, the sample size is:

$n=\hat{p}(1-\hat{p}) \left( \frac{z_{\frac{0.01}{2}} }{E} \right)$

$=0.5(1-0.5) \left( \frac{2.576}{0.05} \right)$

$=0.25 \times 51.52^2$

$=663.6 \approx 664$

Therefore, 664 sample observations are required.

4 0

2 years ago

Suppose a continuous probability distribution has an average of μ=35 and a standard deviation of σ=16. Draw 100 times at random

yulyashka [42]

Answer:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes 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 sums, we have that the mean is $\mu*n$ and the standard deviation is $s = \sigma \sqrt{n}$

In this problem, we have that:

$\mu = 100*35 = 3500, \sigma = \sqrt{100}*16 = 160$

This probability is the pvalue of Z when X = 4000 subtracted by the pvalue of Z when X = 3000.

X = 4000

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{4000 - 3500}{160}$

$Z = 3.13$

$Z = 3.13$ has a pvalue of 0.9991

X = 3000

$Z = \frac{X - \mu}{s}$

$Z = \frac{3000 - 3500}{160}$

$Z = -3.13$

$Z = -3.13$ has a pvalue of 0.0009

0.9991 - 0.0009 = 0.9982

So the correct answer is:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

5 0

2 years ago

The graphs below have the same shape. What is the equation for the red graph?

Serhud [2]

Your answer would be B because even though it's the same shape the red shape is 2 times bigger.......your exponent 4 stays 4

8 0

2 years ago

Read 2 more answers

The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

pogonyaev

Answer: The quadrilateral HIJK is a parallelogram.

Explanation:

It is given that the coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

The parallelogram diagonal theorem states that the quadrilateral is a parallelogram if both diagonal bisects each other.

If HIJK is a quadrilateral, then HJ and IK are the diagonals of HIJK.

First we find the midpoint of HJ.

$\text{Midpoint of HJ}=(\frac{0+4}{2}, \frac{5-1}{2})$

$\text{Midpoint of HJ}=(2,2)$

Now, find the midpoint of IK.

$\text{Midpoint of IK}=(\frac{3+1}{2}, \frac{3+1}{2})$

$\text{Midpoint of IK}=(2,2)$

The midpoint of both diagonal are same. It means the diagonals of HIJK bisects each other.

By parallelogram diagonal theorem, we can say that the quadrilateral HIJK is a parallelogram.

7 0

2 years ago

Read 2 more answers