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3 years ago

Find the area of a trapezoid based on the information given below. H=4√2 b1=5√2 b2=3√2

1 answer:

3 0

The formula of the area of the trapezoid:
$A=\dfrac{b_1+b_2}{2}\cdot h$
We have:
$b_1=5\sqrt2;\ b_2=3\sqrt2;\ h=4\sqrt2$
Substitute:
$A=\dfrac{5\sqrt2+3\sqrt2}{2}\cdot4\sqrt2=\dfrac{5\sqrt2}{2}\cdot4\sqrt2=\dfrac{5\cdot4\cdot\sqrt2\cdot\sqrt2}{2}\\\\=\dfrac{20\cdot2}{2}=20$
Used: $\sqrt{a}\cdot\sqrt{a}=a$

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In the casino game of roulette, a gambler can bet on which of 38 numbers the ball will land when the roulette wheel is spun. On

ollegr [7]

Answer:

Expected winnings for one spin = 0.1

Step-by-step explanation:

Expected Value = Sum of [(Probability of X)(Value of X)]

E(X) = Σ [P(X).X]

Two Events : X = +68 , P(X) = 1/38 and X = -2 , P(X) = 37/38

E(X) = [(68) (1/38)] + [(-2)(37/38)]

[(68)(0.03)] + [(-2)(0.97)]

= 2.04 - 1.94

= 0.1

4 0

3 years ago

What is the sample space for each one of the following statements? (7.5 points each)

photoshop1234 [79]

We can define the sample space for a given experiment as the set of all the possible outcomes for the experiment.

For example, tossing a coin has a space sample of 2 elements, tails and heads.

The spaces are:

a) {WW, BB, WBB, BWW, WBWW, BWBB,... }

b) { 1-2-3-4, 1-2-3-5,..., 7-6-5-4,...}

a) We can write one element in this sample space as:

WBB

This would mean that first we draw a white ball, then a black ball, and then the second black ball, thus we stop drawing.

<u>So all the elements in this set will have the form</u>

{WW, BB, WBB, BWW, WBWW, BWBB,... }

As we have infinite balls in the bag, we have infinite elements in this set.

b) Now we have only 10 balls numbered from 1 to 10, and we draw 4.

So each element in the sample space can be written as:

1-2-3-4

This element means:

"first we draw ball number 1, then ball number 2, then ball number 3, then ball number 4"

Then the sample space will have the form:

{ 1-2-3-4, 1-2-3-5,..., 7-6-5-4,...}

If you want to learn more, you can read:

brainly.com/question/23125812

6 0

3 years ago

30 points and brainliest help me out please. 5th grade

Tatiana [17]

Answer:

Step-by-step explanation:

a,a, and a

8 0

3 years ago

*URGENT ALGEBRA 2* Anyone know these answers? Will award brainliest.

stiv31 [10]

Correct Answer:
Second option

Solution:
The given sequence is:

2.2, 6.6, 11, ...

If we observe the sequence it is an Arithmetic Sequence as the difference between two consecutive terms is the same.

6.6 - 2.2 = 4.4
11 - 6.6 = 4.4

First we find the general term for this sequence.

$a(n)= a_{1}+(n-1)d$

$a_{1}=$ first term = 2.2
d = 4.4

So,

$a(n) = 2.2 +(n-1)*4.4 \\ \\ 
a(n) = 2.2 + 4.4n - 4.4 \\ \\ 
a(n) = 4.4n - 2.2$

This general term will be placed inside the summation sign with limits from 1 to 5 to give the sum of first 5 terms of the given sequence. So the correct answer is Second Option

6 0

3 years ago

Ryan is installing new flooring in house. Ryan can install 196 square feet of flooring in 2 hours How much new flooring can Ryan

galina1969 [7]

Answer:

1568

Step-by-step explanation:

196/2=98

98*16=1586

Ryan can install 1568 square feet of flooring in 16 hours

Hope this helps!

3 0

3 years ago