All categories

3 years ago

13. Mis the midpoint of PR, PM = 2x + 5, and MR = 4x – 7. Solve for x and find PR.

Mathematics

1 answer:

enyata [817]3 years ago

8 0

Add 2x + 5 and 4x - 7

Then you isolate the variable or “get rid of” the numbers that re stopping you from getting “x”.

By doing the inverse operation.

If you add ___ you subtract ____ it form itself

If you subtract ___ you add ____ To itself.

So you Cancel out by getting rid of the other numbers.

Same thing with multiplying and dividing.

If you multiply ____ you divide___ but don’t divide “x”

Only the integer.

If you divide _____ you multiply ____ it

You might be interested in

What is the common ratio of the geometric sequence below? -5, -10, -20, -40....

const2013 [10]

Answer:

Step-by-step explanation:

Between each term you are multiplying the previous term by 2, making 2 the common ration of the sequence.

8 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

4 years ago

Please helppp meeeeeeeeeeeeeeeseseeedeeeeeee

Lyrx [107]

Answer:

The solution x > 10 can be represented in two ways such as:

Interval Notation: (10, ∞)

Inequality Notation: x > 10

Step-by-step explanation:

Let 'x' be the solution to the inequality

From the given line, it is clear that

x > 10

It means the value of x is greater than 10, which means the solution contains all the positive real numbers greater than 10.

From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 10 number.

The number 10 is not included; thus the number line indicates an open circle on 10, meaning 10 is not include in the solution.

Thus, the solution x > 10 can be represented in two ways such as:

Interval Notation: (10, ∞)

Inequality Notation: x > 10

3 0

3 years ago

16.37 rounded to the nearest whole number is 16 feet per second.true or false

Verizon [17]

Answer: true i guess ;-;

Step-by-step explanation:

7 0

3 years ago

1(x-2)= -5.5 solve for x

STatiana [176]

Answer:

-3.5

Step-by-step explanation:

(x-2)= -5.5

x=-3.5

(add two to both sides)

6 0

3 years ago

Read 2 more answers