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2 years ago

Consider a parallelogram with vertices at (0, 3), (2, 0), (4, 2), and (2, 5).

Mathematics

1 answer:

goldenfox [79]2 years ago

4 0

Answer:

Step-by-step explanation:

So a reflection over the x is a change in the y value.

Only point (2,0) is on the x-axis, so it will not move.

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Which is the equation of a line that has a slope of 1/2 and passes through point 0 , -2

S_A_V [24]

The general equation of a line is y = mx + b
m is given as 1/2, so we have:
$y=\frac{1}{2}x+b$
Plugging in the given values of x and y, we get:
-2 = 0 + b
Therefore b = -2, and the answer is:
$y=\frac{1}{2}x-2$

3 0

3 years ago

Standing on top of a 265 m building you see a car that is 500 m from the base of the building. What is the angle of depression f

bogdanovich [222]

Answer:

27.92 degrees

Step-by-step explanation:

Use tan^-1 (265/500) to find the angle

5 0

2 years ago

Center (7,-9); radius 3

LekaFEV [45]

The general form for a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) represent the centre and r represent the radius.

With centre (7, -9) and radius 3, we can simply substitute it into our form:

(x - 7)^2 + (y + 9)^2 = 3^2
(x - 7)^2 + (y + 9)^2 = 9

6 0

2 years ago

What is the sign of the second term of the expansion of (x - y)n for n = 3, 4, and 5?

Darya [45]

The answer is A

mark as branlist plz

4 0

3 years ago

Read 2 more answers

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 800

Ahat [919]

Answer:

The 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

The 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

The 41 week gestation's period baby weighs relatively less.

Step-by-step explanation:

Normal model problems can be solved by the zscore formula.

On a normaly distributed set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a value X is given by:

$Z = \frac{X - \mu}{\sigma}$

The zscore represents how many standard deviations the value of X is above or below the mean $\mu$ .

Find the corresponding z-scores.

Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 800 grams. A 32-week gestation period baby weighs 2450.

Here, we have $\mu = 2700, \sigma = 800, X = 2450$ .

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2450 - 2700}{800}$

$Z = -0.31$

A negative z-score indicates that the value is below the mean.

So, the 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

Babies born after a gestations period of 40 weeks have a mean weight of 2900 grams and a standard deviation of 385 grams. A 41 week gestation period baby weights 2650 grams.

Here, we have $\mu = 2900, \sigma = 385, X = 2650$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2650 - 2900}{385}$

$Z = -0.65$

So, the 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

Which baby weighs relatively less?

The 41 week gestation's period baby has a lesser z-score, so this means that he weighs relatively less.

8 0

2 years ago