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3 years ago

| 2. You are given an isosceles trapezoid ABCD with median XY. Complete the following. m

Mathematics

1 answer:

omeli [17]3 years ago

7 0

Answer:

m∠CDA=65°

Step-by-step explanation:

This is because an isosceles trapezoid has both pairs of base angles that are equivalent to one another.

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a rectangle is drawn with its adjacent sides chosen from independent and identically distributed uniform distributions over the

Pavel [41]

Let X and Y be random variables representing the side lengths of the rectangle. Then the area of the rectangle is given by the random variable XY.

We have

$\displaystyle P(XY > 0.5) = \int_{0.5}^1 \int_{0.5/y}^1 dx \, dy \\\\ = \int_{0.5}^1 \left(1-\frac1{2y}\right) \, dy \\\\ = \left(1 - \frac12 \ln(1)\right) - \left(\frac12 - \frac12 \ln\left(\frac12\right)\right) \\\\ = \boxed{\frac{1-\ln(2)}2}$

or approximately 0.1534.

8 0

3 years ago

What is t (cos (t)) = 0?

Tpy6a [65]

In radians:
To get 0, only one part of the multiplication needs to be zero for the whole thing to be zero. Thus we get 2 equations:
t=0, and cos(t)=0
for the first equation, it's pretty self-explanatory and sp we get 0 as one solution.
For the second equation, cos(pi/2) and cos(3pi/2) both equal 0 so both pi/2 and 3pi/2 are answers. Since there is no bound to this problem, the actual answer is:
(2Z+1)pi/2 and 0
(2Z+1) means all odd integers

6 0

3 years ago

Can anyone please help with this?

lapo4ka [179]

Answer:

Yes I can :O

Mean: About 11.87

Median: 11

Mode: 10

Step-by-step explanation:

Mean: Add up all the numbers and divide by the total number of numbers

<em>*deep breath in haha*</em>

6+7+7+8+8+9+9+9+50 (the 10s)+33 (the 11s)+12+12+12+12+13+14+14+16+16+17+17+18+18+19=356

356 (total) / 30 (number of numbers) = 11.8666666666666666666666 etc = 11.87

Median: With all the numbers in order, the middle number (if there are two add them together and divide by 2)

Not much to show, just mark them off starting from the outside getting inside, you end up with 11!

- See attached

Mode: Data value that occurs most often, in this case we can see that 10 happened the most

Hope this helps, have a nice day! :D

4 0

3 years ago

Zakir buys five $1,000, 13-week T-bills at 5.1%. a) What is the amount of the discount? b) What will Zakir pay for these T-bills

tresset_1 [31]

A) The amount of the discount is the interest due, $63.75.
I = Prt
I = 5000*0.051*13/52
I = 63.75

b) Zakir will pay the discounted price, $5000 -63.75 = $4936.25

c) The effective rate is r/(1 -rt) = 5.1%/(1 -0.051*13/52) ≈ 5.17%

4 0

3 years ago

Read 2 more answers

Simplify thise expression 6ab + (–3x) + 2ab

Thepotemich [5.8K]

Simplify the following:

6 a b - 3 x + 2 a b

Grouping like terms, 6 a b - 3 x + 2 a b = -3 x + (6 a b + 2 a b):

-3 x + (6 a b + 2 a b)

a b 6 + a b 2 = 8 a b:

Answer: -3 x + 8 a b

8 0

3 years ago

Read 2 more answers