All categories

3 years ago

How many solutions can be found for the equation 4x = 4x? (4 points)

Mathematics

1 answer:

quester [9]3 years ago

4 0

Answer:

Infinitely many

Step-by-step explanation:

One can substitute any number as the parameter (x), and still get a valid statement, hence there are infinitely many solutions to the equation 4x = 4x.

You might be interested in

Can someone please help me help me pls

lord [1]

This is easy onystly I think you should do it your self but the answer is number b

8 0

3 years ago

A researcher finds that of 1000 people who said that they attend a religious service at least once a week, A stopped to help a p

Ne4ueva [31]

Answer:

There is enough evidence to support the claim that the proportions are not equal. (P-value: 0.048).

Step-by-step explanation:

The question is incomplete:

<em>"A researcher finds that of 1000 people who said that they attend a religious service at least once a week, 31 stopped to help a person with car trouble. Of 1200 people interviewed who had not attended a religious service at least once a month, 22 stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are different."</em>

This is a hypothesis test for the difference between proportions.

The claim is that the proportions are not equal.

Then, the null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0$

The significance level is 0.05.

The sample 1, of size n1=1000 has a proportion of p1=0.031.

$p_1=X_1/n_1=31/1000=0.031$

The sample 2, of size n2=1200 has a proportion of p2=0.018.

$p_2=X_2/n_2=22/1200=0.018$

The difference between proportions is (p1-p2)=0.013.

$p_d=p_1-p_2=0.031-0.018=0.013$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{31+22}{1000+1200}=\dfrac{53}{2200}=0.024$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.024*0.976}{1000}+\dfrac{0.024*0.976}{1200}}\\\\\\s_{p1-p2}=\sqrt{0+0}=\sqrt{0}=0.007$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.013-0}{0.007}=\dfrac{0.013}{0.007}=1.98$

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

$P-value=2\cdot P(z>1.98)=0.048$

As the P-value (0.048) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportions are not equal.

6 0

3 years ago

(18 + 4i) + (-11 + 23i) =<br> Express your answer in the form (a + bi).

Andru [333]

Answer:

7+27i

Step-by-step explanation:

(18+4i)+(-11+23i)

=18+4i-11+23i

=7+27i

8 0

3 years ago

Mr. and mrs. lorenzo want to buy a home valued at $213,500. if they have 18% of this amount saved for a down payment, how much h

valentinak56 [21]

Mr. and Mrs. Lorenzo have saved $38,430 for the home they want to buy

Information about the problem:

Initial cost = $213,500
Savings = 18%.
Final savings =?

To solve this exercise we have to apply the percentage formula:

Final savings = initial cost * savings / 100

Final savings = $213,500 * 18 / 100

Final savings = $213,500 * 0.18

Final savings = $38,430

<h3>What is a percentage?</h3>

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

Learn more about percentage at: brainly.com/question/24877689

#SPJ4

3 0

2 years ago

The first four terms of a sequence are shown below 9,5,1,-3

viva [34]

Answer:

-7

Step-by-step explanation:

term: the former minus four will be the latter

7 0

3 years ago