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3 years ago

Match the equation with its graph. –4x – 2y = 8

Mathematics

2 answers:

11Alexandr11 [23.1K]3 years ago

7 0

You can put y=0 to find out the x-intercept of the equation.
-4x-2(0)=8
x=-2
Then , they have the same y-intercept =-4
so the graph will show as a cross.

kolezko [41]3 years ago

6 0

$-4x-2y=8
\\-2y=4x+8
\\y=-2x-4
\\m=-2$

The slope of line is negative. Therefore, correct answer is D.

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A half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of

Ainat [17]

Answer:

99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of today's women in their 20's have been taken.

Let $\bar X$ = sample mean heights

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean height of women = 64.7 inches

$\sigma$ = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample of 21 of today's women in their 20's have mean heights of at least 65.86 inches is given by = P( $\bar X$ $\geq$ 65.86 inches)

P( $\bar X$ $\geq$ 65.86 inches) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{65.86-64.7}{\frac{2.07}{\sqrt{21} } }$ ) = P(Z $\geq$ -2.57) = P(Z $\leq$ 2.57)

= 0.99492 or 99.5%

The above probability is calculated by looking at the value of x = 2.57 in the z table which has an area of 0.99492.

Therefore, 99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

3 0

3 years ago

WHERE DO I DRAG THE LAST TWO

Anastasy [175]

-3/4 goes between -1 and 0 it is the 3rd line to the left and n would go between positive 0 and 1 on the 3rd line to the right

4 0

3 years ago

Find the equation of the line that passes thru (-1,-5) and is parallel to 3x+y=-5. Show work.

sertanlavr [38]

Answer:

$y=-3x-8$

Step-by-step explanation:

slope-intercept form:

$y=mx+b$

Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.

$3x+y=-5$

In this case, all you need to do is subtract 3x from both sides.

$y=-3x-5$

Here, the slope is -3. The slope of a parallel line will also be -3.

Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.

$y=mx+b\\-5=(-3)(-1)+b\\-5=3+b\\-8=b\\b=-8$

Finally, with the slope and the y-intercept, you can write the equation of the line:

$y=-3x-8$

3 0

3 years ago

State the conditions that the following graph meets. (Enter the equation or inequality that is shown by the graph.)

shutvik [7]

The graph shows a horizontal line intersecting (0, 2).

Your answer is: y = 2.

7 0

3 years ago

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Need help with 14 someone plz help it's due tomorrow

Helga [31]

So if 123 x 47= 5781, 123 x 0.47= 57.81, why? because its exactly like dividing the number by 100, instead of dividing in the end, we divided one of the multipliers :)

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3 years ago