Find the area of a triangle whose height is 2xand base is 2x+2

Write an algebraic rule to describe the translation C'(5, -4) -> C'(-2, 1)

katrin2010 [14]

The answer is c. To get to (-2,1) from (5,-4), you have to add subtract 7 from 5 and add 5 to 1.

7 0

2 years ago

Externally applied mechanical forces acting on a body, such as normal and shear forces, will cause deformation dependent on the

natima [27]

Find the answer in the attachment

8 0

2 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

2 years ago

One

lesantik [10]

$\bf \begin{array}{ccll} oz&calories\\ \cline{1-2} 6&90\\ 64&x \end{array}\implies \cfrac{6}{64}=\cfrac{90}{x}\implies \cfrac{3}{32}=\cfrac{90}{x}\implies 3x=2880 \\\\\\ x=\cfrac{2880}{3}\implies x=960$