(20 points, please help)

Ierofanga [76]

Let's solve your equation step-by-step.65+6x+3x+9+65=180

Step 1: Simplify both sides of the equation.65+6x+3x+9+65=180
(6x+3x)+(65+9+65)=180 (Combine Like Terms)

9x+139=1809x+139=180

Step 2: Subtract 139 from both sides.

9x+139−139=180−1399x=41

Step 3: Divide both sides by 9.
9x/9=41/9
 x=41/9
And finally you divided by 41/9
Answer is x= 4.555556

3 0

3 years ago

Read 2 more answers

Simplify the expression to a polynomial in standard form:

lukranit [14]

Answer:

$-x^3+7x^2-6x-18$

Step-by-step explanation:

Use distributive property: $(-x+3)(x^2-4x-6)$

What is -x * x^2? Answer: -x^3

What is 3 * x^2? Answer: +3x^2

What is -x * -4x? Answer: +4x^2

What is 3* -4x? Answer: -12x

What is -x * -6? Answer: +6x

What is 3 * -6? Answer: -18

$-x^3+3x^2+4x^2-12x+6x-18$

Combine like terms, and your answer would be....

$-x^3+7x^2-6x-18$

Hope this helps :)

Have a great day!

7 0

2 years ago

Ms. Smiths block 2 class has 30 students. 2/3 of them are absent on a field trip for science. How many students in the class are

Olenka [21]

20 because if you think about it 2/3 is equal to 20/30.

7 0

3 years ago

Read 2 more answers

A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specime

Shalnov [3]

Answer:

We conclude that the true average percentage of organic matter in such soil is different from 3%.

Step-by-step explanation:

We are given that the values of the sample mean and sample standard deviation are 2.481 and 1.616, respectively.

Suppose we know the population distribution is normal, we have to test the hypothesis that does this data suggest that the true average percentage of organic matter in such soil is something other than 3%.

Let $\mu$ = true average percentage of organic matter in such soil

SO, Null Hypothesis, $H_0$ : $\mu$ = 3% {means that the true average percentage of organic matter in such soil is equal to 3%}

Alternate Hypothesis, $H_A$ : $\mu \neq$ 3% {means that the true average percentage of organic matter in such soil is different than 3%}

The test statistics that will be used here is One-sample t test statistics because we don't know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{{\frac{s}{\sqrt{n} } } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean amount of organic matter = 2.481%

s = sample standard deviation = 1.616%

n = sample of soil specimens = 30

So, test statistics = $\frac{0.02481-0.03}{{\frac{0.01616}{\sqrt{30} } } }$ ~ $t_2_9$

= -1.759

Now, P-value of the test statistics is given by;

P-value = P( $t_2_9$ > -1.759) = 0.046 or 4.6%

If the P-value of test statistics is more than the level of significance, then we will not reject our null hypothesis as it will not fall in the rejection region.

If the P-value of test statistics is less than the level of significance, then we will reject our null hypothesis as it will fall in the rejection region.

Now, here the P-value is 0.046 which is clearly smaller than the level of significance of 0.05 (for two-tailed test), so we will reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the true average percentage of organic matter in such soil is different from 3%.

3 0

3 years ago

PLEASE HELP! (04.02 MC) Write an equation of a line parallel to line EF in slope-intercept form that passes through the point (2

Tanya [424]

Answer:

C. y = -2/3x +22/3

Step-by-step explanation:

You can choose the correct answer by realizing that the line must have a y-intercept greater than 6. The given point is (2, 6) and the line goes up and to the left from there. The y-intercept is obviously more than 6.

The only reasonable answer choice is ...

y = -2/3x +22/3 . . . . . a y-intercept of 7 1/3

_____

There are a lot of ways to work problems like these. One is to write the equation of the line, then match that to the answer choices.

Another is to eliminate all the "impossible" answer choices, then choose the appropriate one from what's left. (The given line has a negative slope, eliminating choices A and B.)

I like to use the simplest method that will determine the correct answer. Here, that involves reading and understanding the question to obtain some idea of where the desired line must appear on the graph.

Of course, it helps to know that "slope-intercept form" is ...

y = mx +b . . . . . . m represents the slope; b is the y-intercept

5 0

3 years ago