Can someone rewrite the expression x^2 * x^-12 in the form of x^n. Pleasee

Three hundred high school seniors were surveyed about their intended college majors. The results are displayed in the Venn Diagr

atroni [7]

Answer: $\frac{1}{10}$

Step-by-step explanation:

Since, The total number of student = 300

Out of which,

The number of students who are only in Maths = 120

And, The number of students who are only in Science = 50

While, the students who are not from any subject = 100

Hence, the number of student who are from both maths and science = Total student - Maths student (only) - science student (only) - None

= 300 - 120 - 50 - 100

= 30

That is, there are 30 students who are both from science and maths,

Thus, the probability of selecting one student who is both from maths and science = 30/300 = 1/10

3 0

3 years ago

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Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that th

11111nata11111 [884]

Answer:

The null hypothesis is $H_0: \mu = 14$

The alternate hypothesis is $H_a: \mu < 14$

The test statistic is t = -1.95.

The p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the highlighters wrote for less than 14 continuous hours.

Step-by-step explanation:

Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that their highlighters could write continuously for 14 hours.

At the null hypothesis, we test if the mean is 14 hours, that is:

$H_0: \mu = 14$

At the alternate hypothesis, we test if the mean is less than 14 hours, that is:

$H_a: \mu < 14$

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

14 is tested at the null hypothesis:

This means that $\mu = 14$

X = 13.6 hours, s = 1.3 hours. Sample of 40:

In addition to the values of X and s given, we have that $n = 40$

Test statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{13.6 - 14}{\frac{1.3}{\sqrt{40}}}$

$t = -1.95$

The test statistic is t = -1.95.

P-value:

The p-value of the test is the probability of finding a sample mean lower than 13.6, which is a left tailed test, with t = -1.95 and 40 - 1 = 39 degrees of freedom.

Using a calculator, the p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the highlighters wrote for less than 14 continuous hours.

5 0

2 years ago

Solve 1 - 12 or any question please

ZanzabumX [31]

There two forms to write an equation in; slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept; and point-slope form, which is given by $y-y_1=m(x-x_1)$ , where m is the slope and (x₁, y₁) is a point on the line. Given the information and instructions you have I assume you need point-slope form. For #1, you have m = 2 and point (3, 5). Substitute these values in:
$y-5=2(x-3)$
If you need slope-intercept form, you start by using the distributive property on what you just wrote:
$y-5=2*x-2*3
\\y-5=2x-6$
Now cancel the 5 to isolate y:
$y-5+5=2x-6+5
\\y=2x-1$

4 0

3 years ago

What is the eighth term in the arithmetic sequence defined by the explicit formula an=2n+7

Gnesinka [82]

2*8+7=23..........................

3 0

3 years ago

WILL MARK BRAINLIEST! What is the shaded area, and how do I solve it?

Jlenok [28]

Answer:

99

Step-by-step explanation:

First you find the area of the big rectangle:

15x9=135

Then, you need to find the area for the smaller square:

6x6= 36 (because in a sqaure all sides are the same)

Finally, you have to subtract 135 from 36

135-36=99

So, your answer is 99

3 0

3 years ago

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