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3 years ago

Which of the following points is a solution to the system of linear inequalities?

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

5 0

Answer:

Step-by-step explanation:

2(-4)-1≤-5

-9≤-5

true

-(-4)-1>0

3>0

true

all the other options are false when u solve it

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I need help with this question

timofeeve [1]

Answer:

67 people i believe. I am not 100% sure..

Step-by-step explanation:

3 0

3 years ago

Data is collected to compare two different types of batteries. We measure the time to failure of 12 batteries of each type. Batt

-Dominant- [34]

Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

At the null hypothesis, it is tested if it does not outlast by more than 2 hours, that is, the subtraction is not more than 2:

$H_0: \mu_B - mu_A \leq 2$

At the alternative hypothesis, it is tested if it outlasts by more than 2 hours, that is:

$H_1: \mu_B - \mu_A > 2$

The sample means are: $\mu_A = 8.65, \mu_B = 11.23$

The standard deviations for the samples are $s_A = s_B = 0.67$

Hence, the standard errors are:

$s_{Ea} = S_{Eb} = \frac{0.67}{\sqrt{12}} = 0.1934$

The distribution of the difference has mean and standard deviation given by:

$\overline{x} = \mu_B - \mu_A = 11.23 - 8.65 = 2.58$

$s = \sqrt{s_{Ea}^2 + s_{Eb}^2} = \sqrt{0.1934^2 + 0.1934^2} = 0.2735$

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 2$ is the value tested at the hypothesis.

Hence:

$t = \frac{\overline{x} - \mu}{s}$

$t = \frac{2.58 - 2}{0.2735}$

$t = 2.12$

The critical value for a right-tailed test, as we are testing if the subtraction is greater than a value, with a 0.05 significance level and 12 + 12 - 2 = 22 df is given by $t^{\ast} = 1.71$

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

A similar problem is given at brainly.com/question/13873630

7 0

3 years ago

Jerry has a CD case that contains 4

kvv77 [185]

Answer: $\frac{1}{15}$

Step-by-step explanation:

Given

There are

4 country music CD

1 rock and roll CD

2 rap CD

3 Tejano CD

$\text{Probability that Jerry randomly select a Tejano CD and then a rap CD from his case}=\text{Probability of selecting a Tejano CD}\times \text{Probability of selecting a rap CD}$

$P=\frac{3}{10}\times \frac{2}{9}$

$P=\frac{2}{30}$

$P=\frac{1}{15}$

4 0

3 years ago

Find the slope of the line that passes through the two given points. (−5,4) and (1,6)

OLga [1]

slope is 1/3

Explanation: $\text{The given points: (-5,4) and (1, 6)}$

We apply the slope formula:

$slope=m\text{ = }\frac{y_2-y_1}{x_2-x_1}$ $\begin{gathered} x_1=-5,y_1=4,x_2=1,y_2\text{ = }6 \\ m\text{ = }\frac{6\text{ - 4}}{1\text{ - (-5)}} \\ m\text{ }=\text{ }\frac{2}{1+5} \\ \end{gathered}$ $\begin{gathered} m\text{ = 2/6} \\ m\text{ = 1/3} \\ \\ \text{Hence, slope is 1/3} \end{gathered}$

5 0

1 year ago

Rosa has $117 in her savings account and $95 in her checking account. Each week she will put $21 into her savings account and $2

mr_godi [17]

Answer:

It will take Rosa 5 and a half (5.5) weeks to have the same amount of money in both accounts.

Step-by-step explanation:

For this problem, we will have to set two expressions equal to each other. The first expression will represent Rosa's saving account, which already has $117 in it. Every week ( $x$ ), she adds $21 to her savings account:

$21x+117$

The second expression will represent Rosa's checking account. Rosa's checking account already has $95 in it. Every week ( $x$ ), she adds $25 to her checking account:

$25x+95$

Now that we have our two expressions, set them equal to each other. This is our equation that will be used to find the number of weeks ( $x$ ) it takes until Rosha has the same amount of money in both accounts:

$21x+117=25x+95$