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3 years ago

What is the measure of angle X ?

Mathematics

1 answer:

Rus_ich [418]3 years ago

6 0

Answer:

65 deg

Step-by-step explanation:

Recall that interior angles of a triangle must add up to 180 deg.

hence

x + 68 + 47 = 180

x = 180 - 68 - 47 = 65 deg

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A fair coin and a biased coin where the probability of obtaining a head is twice the probability of obtaining a tail. if both ar

Art [367]

Answer:

See below in bold.

Step-by-step explanation:

For the fair coin Prob(head) = 1/2 and Prob(Tail) = 1/2.

For the biased coin it is Prob(head) = 2/3 and Prob(Tail) = 1/3.

a) Prob(2 heads) = 1/2 * 2/3 = 1/3.

b) Prob(2 tails) = 1/2 * 1/3 = 1/6.

c) Prob(1 head ) = Prob(H T or T H) = 1/2 * 1/3 + 1/2 * 2/3) = 1/6+1/3 = 1/2.

d) Prob (at least one head) = prob (HH or TH or HT) = 1/3 + 1/2 =<em> </em>5/6.

4 0

3 years ago

Plz help

jasenka [17]

Answer: the answer is 19.6

Step-by-step explanation:

just add up by each number, for example 5.6+3 miles is 8.6 miles so just keep adding up the miles to get this answer

3 0

2 years ago

{y | y E the set of integers and y> -7}

Ronch [10]

Can you upload a picture please

3 0

2 years ago

Read 2 more answers

One tray holds eight sandwiches if there are 30 sandwiches in all, how many trays are needed?

nika2105 [10]

30/8=3.75
So, you need 4 trays, since you can't have 75% of a tray.
Hope this helps

3 0

3 years ago

Read 2 more answers

A mistake was made in mixing the lemonade—<br> PLEASE HELP!!

beks73 [17]

Answer:

Part A:

$4 + x = y$

$0.5*4 + 1*x = 0.7*y$

$x = 8/3\ quarts\ of\ 100\%\ solution$

$y = 20/3\ quarts\ of\ 70\%\ solution$

Part B:

$x + y = 10$

$2x + 3y = 23$

$x = 7$ and $y = 3$

Step-by-step explanation:

Part A:

The inicial concentration of the lemonade is 50%, and the volume is 4 quarts, and we will add x quarts of a lemonade with a concentration of 100%, so the total volume will be y, and the concentration will be 0.7, so we have that:

$4 + x = y$

$0.5*4 + 1*x = 0.7*y$

Using the value of y from the first equation in the second one, we have:

$2 + x = 0.7*(4 + x)$

$2 + x = 2.8 + 0.7x$

$0.3x = 0.8$

$x = 8/3\ quarts$

$y = 4 + 8/3 = 20/3\ quarts$

Part B:

If he shoots a total of ten targets, we can write the equation:

$x + y = 10$

Each stationary target is 2 points, and each moving target is 3 points, so if the total points is 23, we have:

$2x + 3y = 23$

If we subtract the second equation by two times the first one, we have:

$2x + 3y - 2*(x + y) = 23 - 2*10$

$2x + 3y - 2x - 2y = 23 - 20$

$y = 3$

$x + 3 = 10$ ⇒ $x = 7$

4 0

3 years ago