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4 years ago

a normally distributed data set has a mean of 35 and a standard deviation of 2.5 what z-score corresponds to a data value of 32

Mathematics

1 answer:

Oksanka [162]4 years ago

7 0

$z=\dfrac{32-35}{2.5}=-1.2$

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2.8 = 2y What does y equal? 1.4 0.5 2.8 0.6

igor_vitrenko [27]

Answer: 1.4

Step-by-step explanation: First, swap the sides of the equation so that the one with the variable can be in front.

So, its 2y=2.8

To solve this, you simply divide both sides of the equation by 2.

2 divided by 2 is 0. That leaves you with the y by itself. Then, 2.8 divided by 2 is 1.4

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(5a-5)(2a+2) Find each product

weeeeeb [17]

(5a-5)(2a+2)
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3 years ago

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Question 3

Elan Coil [88]

Answer:

Domain: $-3\leq x\leq 1$

Range: $-4\leq y\leq 0$

Step-by-step explanation:

If you find the coordinate of the graph you can get the domain and range

(-3,0), (-2,-4), (-1,-2), (0,0), (1, -4)

Now that we have that find the domain and range

Domain - x coordinate

Range - y coordinate

Domain: (-3, -2, -1, 0, 1)

Range: (-4, -2, 0)

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3 years ago

Find the area please

tatuchka [14]

Answer:

Step-by-step explanation:

Recall that the area of a triangle is given by:

$\displaystyle A = \frac{1}{2} bh$

In this case, the base is x and the height is y. Hence:

$\displaystyle A = \frac{1}{2} xy$

We can write the following ratios:

$\displaystyle \sin \alpha = \frac{x}{12} \text{ and } \cos \alpha = \frac{y}{12}$

Solve for x and y:

$\displaystyle x = 12\sin \alpha \text{ and } y = 12\cos \alpha$

Substitute:

$\displaystyle A = \frac{1}{2}\left(12\sin \alpha\right)\left(12\cos \alpha\right)$

And simplify. Hence:

$\displaystyle A = 72\sin \alpha \cos\alpha$

In conclusion, our answer is D.

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3 years ago

I need help on this, please!

xenn [34]

Answer:

(5,9) and (5,3)

Step-by-step explanation:

Because the point is (5,6), and the question tells you to plot two points that are three units away from (5,6) but share the same X coordinate.

The X coordinate is 5. And 6 is the Y coordinate, if we do 6-3=2. 6+3=9.

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3 years ago