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polet [3.4K]
3 years ago
8

I dont know how to find x​

Mathematics
1 answer:
Verdich [7]3 years ago
4 0
Simplify both sides:

x
—- = -9
4

now isolate the variable (x):

x= -9 • 4
x= -36
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Anit [1.1K]

Answer:

The answer for Factorization is (x+6)(x-2) = 0 or Solving for x is 2 and -6.

Step-by-step explanation:

x² - 12 = -4x

Factorisation :

x² + 4x - 12 = 0

x² - 2x + 6x - 12 = 0

x(x-2)x + 6(x-2) = 0

(x+6)(x-2) = 0

Solve for x :

(x+6)(x-2) = 0

x + 6 = 0

x = -6

x - 2 = 0

x = 2

3 0
3 years ago
What is the median of the following numbers 45,36,52,55,47, 39
Elena L [17]

Answer:

46

Step-by-step explanation:

By arranging the numbers from least to greatest, you can find the median by locating the central number in the data set.

8 0
2 years ago
A laptop producing company also produces laptop batteries, and claims that the batteries
gregori [183]

Answer:

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours. (P-value = 0).

The null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

Step-by-step explanation:

<em>The question is incomplete: To test this claim a sample or population standard deviation is needed.</em>

<em>We will estimate that the sample standard deviation is 2 hours, and use a t-test to test that claim.</em>

<em> NOTE (after solving): The difference between the sample mean and the mean of the null hypothesis is big enough to reject the null hypothesis, even when we have a sample standard deviation of 3.5 hours, which can be considered bigger than the maximum standard deviation for the sample.</em>

This is a hypothesis test for the population mean.

The claim is that the batteries power the laptops for significantly less than 4 hours.

Then, the null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=3.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{500}}=0.0894

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{3.5-4}{0.0894}=\dfrac{-0.5}{0.0894}=-5.5902

The degrees of freedom for this sample size are:

df=n-1=500-1=499

This test is a left-tailed test, with 499 degrees of freedom and t=-5.5902, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0) 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 batteries power the laptops for significantly less than 4 hours.

5 0
3 years ago
What is the volume of a brick that is 20.3 cm long, 8.9 cm wide, and 5.7 cm high?
Anvisha [2.4K]

Answer:

1029.819

Step-by-step explanation:

20.3 * 8.9 * 5.7 = 1029.819

4 0
3 years ago
Read 2 more answers
Water is an example of a solvent true or false !<br> Hurry up and answer
lara [203]
Yes water is a solvent
4 0
3 years ago
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