All categories

3 years ago

Solve the rational equation by multiplying both sides by the LCD. Check your results for extraneous

Mathematics

1 answer:

g100num [7]3 years ago

6 0

Answer:

X=7 is a solution

X= -2 is an extraneous solution.

Step-by-step explanation:

You might be interested in

Find the volume and surface area of both please

masya89 [10]

For the triangle do bh\2 and the rectangle do lwh

8 0

4 years ago

. A discount brokerage selected a random sample of 64 customers and reviewed the value of their accounts. The mean was $32,000 w

koban [17]

Answer:

The 90% confidence interval is $\$ \ 30313.9< \mu < \$ \ 33686.13$

Step-by-step explanation:

From the question we are told that

The sample size is n = 64

The sample mean is $\= x = \$ 32, 000$

The standard deviation is $\sigma= \$ 8, 200$

Given that the confidence interval is 90% then the level of significance is mathematically evaluated as

$\alpha = 100 - 90$

$\alpha = 10 \%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table , the value is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{ \sigma }{ \sqrt{n} }$

=> $E = 1.645 * \frac{ 8200 }{ \sqrt{64} }$

=> $E = 1686.13$

The 90% confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

=> $32000 - 1689.13 < \mu < 32000 + 1689.13$

=> $\$ \ 30313.9< \mu < \$ \ 33686.13$

5 0

4 years ago

insurance company checks police records on 559 accidents selected at random and notes that teenagers were at the wheel in 91 of

ss7ja [257]

Answer: $(13.22\%,\ 19.34\%)$

Step-by-step explanation:

Given : Sample space : n= 559

Sample proportion : $\hat{p}=\dfrac{91}{559}=0.162790697674\approx0.1628$

$=16.28\%$

Significance level : $\alpha= 1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

Confidence level for population proportion:-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.1628\pm (1.96)\sqrt{\dfrac{0.1628(1-0.1628)}{559}}\\\\=0.1628\pm0.030604971367\\\\\approx 0.1628\pm0.0306=(0.1322,\ 0.1934)=(13.22\%,\ 19.34\%)$

Hence, 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.= $(13.22\%,\ 19.34\%)$

7 0

4 years ago

What is the answer to this somebody!!!

Galina-37 [17]

So with this, you'll be using a proportion to solve it. And here's what your equation will look like:

$\frac{30}{x} =\frac{x}{24}$

Firstly, you'll need to cross-multiply. Your equation will look like this: $720=x^2$

For this, all you need to do is square root, and your answer is $\sqrt{720} =x$ , however this answer can be simplified further.

$\sqrt{720} =\sqrt{30*24} =\sqrt{5*6*6*4}=\sqrt{5*3*2*3*2*2*2} =4*3\sqrt{5} =12\sqrt{5}$

In short, your answer is $12\sqrt{5}$

7 0

3 years ago

On a map, the length of a nature trail is 7.2 centimeters. If the scale is 1 centimeter to 25 kilometers, what is the actual len

levacccp [35]

Given the scale is 1 cm to 25 km.

We have to find the length of the trail from centimeter to the nearest tenth of kilometer.

Let's take the length of the trail be x km.

The length of the trail given 7.2 cm. We will have to find the length in km.

We have to set it up as a proportion. So we can write the proportion as,

$\frac{1}{25} = \frac{7.2}{x}$

We have to cross multiply first. We will get,

$(1)(x) = (7.2)(25)$

$x= (7.2)(25)$

$x = 180$

So we have got the required length of the train in kilometer.

The actual length of the trail = 180km.

6 0

3 years ago

Read 2 more answers