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3 years ago

Tom has three times as many pencils as pens but has a total of 100 writing utensilmany more pencils than pens does tom have

1 answer:

6 0

Take 100/3 you get 25, then multiply it by three because that's how many pencils he has more than pens and you get 75 pencils. Then subtract 100-75 to get 25. So Tom would have 25 more pencils than pens.

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Which expression is equivalent to 2x^2+2x-4/2x^2-4x+2

lord [1]

You need to factor the numerator and denominator...

(2x^2+4x-2x-4)/(2x^2-2x-2x+2)

(2x(x+2)-2(x+2))/(2x(x-1)-2(x-1))

((2x-2)(x+2))/((2x-2)(x-1)) so the (2x-2)s cancel out leaving

(x+2)/(x-1)

4 0

3 years ago

Read 2 more answers

Solve for y please! <br> 7x + 8y = -12

Mrac [35]

Step-by-step explanation:

7x + 8y = -12

8y=-12-7x

$\frac{ - 12 - 7 x}{8}$

6 0

3 years ago

Read 2 more answers

Which equation has a solution of x = 9? A. 5x=45 B. 2x=20 C. 4+x=12 D. x+7=26

sergeinik [125]

Answer:

A. 5x = 45

Step-by-step explanation:

To check, substitute 9 for x in each equation.

A. 5*9 = 45

B. 2*9 ≠ 20

C. 4 + 9 ≠ 12

D. 9 +7 ≠ 26

4 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

What is the value of e rounded to 4 decimal places

Fantom [35]

e = Euler's constant

e ≈ 2.718281828459045, rounded up e = 2.7183.

8 0

3 years ago