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3 years ago

Solve for x Need help asap

Mathematics

1 answer:

vlabodo [156]3 years ago

3 0

Answer:

$x=55$

Step-by-step explanation:

Corresponding angles of two parallel lines are always equal. The angle on "top" of $2x+6$ corresponds with the angle marked as $x+9$ . Therefore, its measure must also be $x+9$ .

Since these two angles form one side of a line which has 180 degrees, we have the following equation:

$2x+6+x+9=180$

Combine like terms:

$3x+15=180$

Subtract 15 from both sides:

$3x=165$

Divide both sides by 3:

$x=\frac{165}{3}=\boxed{55}$

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The scores on a psychology exam were normally distributed with a mean of 60 and a standard deviation of 10 . A failing grade on

tensa zangetsu [6.8K]

Answer:

The cutoff for a failing score was 40,

Approximately 2.3% of the students failed.

Step-by-step explanation:

Given,

Mean, $\mu=60$

Standard deviation, $\sigma=10$

Let x represents the cutoff for a failing score,

Thus, according to the question,

$\frac{x-\mu}{\sigma}=-2$

$\frac{x-60}{10}=-2$

$x-60=-20$

$x=-20+60$

$x=40$

Thus, the cutoff for a failing score is 40,

∵ P(<-2) = 0.02275 = 2.275 % ≈ 2.3 %

Hence, Approximately 2.3 % of the students failed. 

7 0

3 years ago

Please help<br><br>problem 1, 2 and 3

laila [671]

Answer:

See attached

Step-by-step explanation:

When there is a lot of repetitive calculation to do, I like to let a spreadsheet or graphing calculator do it. The attached shows a spreadsheet that computes all the values you're asked to find.

For a linear equation in standard form, ax +by = c

the x-intercept is: c/a
the y-intercept is: c/b
the slope is: m = -a/b

Of course, the slope-intercept form of the equation is ...

y = (slope)·x + (y-intercept)

and the values of the various points on the graph can be computed from that equation.

___

You will note that the last two equations describe the same line.

_____

<em>Note on spreadsheet formulas</em>

When you put the formulas into the spreadsheet, make sure to fix the column number or row number of the values you're computing, as appropriate. For example, the y-values in the different columns always use the slope from the slope column (fixed), the y-intercept from that column (fixed), and the x-value from the top row (fixed). If you make the cell references relative instead of fixed, you will get wrong answers.