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3 years ago

SOMEONE PLEASE HELP!!!!

Mathematics

1 answer:

bezimeni [28]3 years ago

5 0

Answer:

x^(5/2)

Step-by-step explanation:

√x ^ 5

We can rewrite the square root as ^1/2

x^1/2 ^5

Power to the power is multiply a^b^c = a^(b*c)

x ^(1/2*5)

x^(5/2)

You might be interested in

Which statements are true regarding the rotational symmetry of the shape of a cross? Select three options.

Inga [223]

Answer:

The correct options are;

1) The shape maps unto itself after a rotation of 270 degrees

2) The smallest angle of rotational symmetry is 90 degrees

3) The shape maps unto itself after a rotation of 180 degrees

Step-by-step explanation:

We note that the shape of a cross which consists of two equal members (segments) bisecting each other at right angles such that when a member is placed vertically upright, the other member will be horizontal, therefore we have;

After rotation by 90 degrees, the vertical member will become horizontal and vice versa

After rotation by 180 degrees, the vertical member will become horizontal and vice versa again

Similarly, after rotation by 270 degrees, the once vertical member will become horizontal and the horizontal member will become vertical

6 0

3 years ago

An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than

Tpy6a [65]

Answer:

The correct option is b

The correct option is h

Step-by-step explanation:

From the question we are told that

The sample size is n = 15

The difference in population proportion is $d = 6$

Generally the sample mean of the input temperature is

$\= x_1 = \frac{\sum x_i }{n}$

=> $\= x_1 = \frac{57.6 + 68.9 + \cdots +60.4 }{15}$

=> $\= x_1 = 62.57$

Generally the sample mean of the output temperature is

$\= x_2 = \frac{\sum x_i }{n}$

=> $\= x_2 = \frac{65.1 + 74.4 + \cdots +67.3 }{15}$

=> $\= x_2 = 55.97$

Generally the difference of the sample mean of the input temperature and that of the output temperature is

$\= d = \= x_1 - \= x_2$

=> $\= d = 62.57 -55.97$

=> $\= d = 6.6$

Generally the standard deviation is mathematically represented as

$s_d = \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }$

=> $s_d = \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots + ([60.4 - 67.3]- 6.6)^2 }{15} }$

=> $s_d = 1.732 [/texGenerally the test statistics is mathematically represented as [tex]t = \frac{ d - \= d }{ \frac{s_d}{\sqrt{n} } }$

=> $t = \frac{ 6-6.6 }{ \frac{1.732}{\sqrt{15} } }$

=> $t = 1.3417$

Generally the degree of freedom is mathematically represented as

$df = n - 1$

=> $df = 15 - 1$

=> $df = 14$

Generally the probability of t obtained from the t - distribution table at a degree of freedom of $df = 14$ is

$P(t >1.3417 ) = 0.10052569$

Generally the p-value is mathematically represented as

$p-value = 2 * P(t > 1.3417)$

=> $p-value = 2 * 0.10052569$

=> $p-value = 0.201$

From the values obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

The cooling system changes the temperature of the water by 6 degrees.

8 0

3 years ago

Write a word problem with 1/2 as the dividend and 3 as the divisor. then find the quotient

lisabon 2012 [21]

Answer:

The word problem is described.

Each child will get $\frac{1}{6}\text{ kg}$ of wheat.

Step-by-step explanation:

Word Problem:

A woman have 0.5 kg of wheat. She need to distribute it equally among her three children. How much amount of wheat will each child get?

Solution:

Total weight of wheat =

$0.5\text{ kg} = \dfrac{1}{2}\text{ kg}$

Number of children = 3

Amount of wheat each child will get =

$=\dfrac{\text{Total amount of wheat}}{\text{Number of children}}\\\\=\dfrac{\frac{1}{2}}{3}\\\\(\text{Divident} = \dfrac{1}{2},\text{ Divisor} = 3)\\\\=\dfrac{1}{6}\text{ kg}\\\\=0.167\text{ kg}$