1.
Chance of finding a bug = 0.35
Chance of not finding a bug = 1 - 0.35 = 0.65
Probability of finding a bug in the first 3 programs =
Probability of not finding a bug in 2 out of the 3 and finding a bug in 1.:
0.65^2 * 0.35 = 0.147 = 0.15
Answer is A.
2.
Probability of heads = 0.50
Probability of tails = 0.50
Probability of heads on the fourth attempt = tails x tails x tails x heads = 0.5 x 0.5 x 0.5 x 0.5 = 0.0625
The answer is B.
Start by listing this until you see that X+Y = 50
X can equal: 4,8,12,16,20,24,28,32,36,40,<u>44</u>
Y can equal: 1.5,3,4.5,<u>6</u>,7.5,9
So...
X=11
Y=4
so... 4 sandwiches were bought, and 11 drinks.
Answer:
12.2 feet
Step-by-step explanation:
The key to this problem is trigonometry.
Imagine a right triangle. With a height, 10 ft (representing the tree's height), and a base of 7 ft (representing the horizontal distance to the worm).
Now the hypoteneuse length, or otherwise the distance from the worm is unknown.
So this is where we can use the pythagorean theorem.

here is the hypoteneuse length, and
and
are the other lengths of the triangle.
Since we know a and b we can solve for c.
But first we will square root both sides of the equation to get
and not
.

Now just plug in our values for a and b respectively. (It doesn't matter what number replaces a or b, just make sure you are replacing a and b with the 2 known values) Calculate.

Round to the nearest tenth.
feet
The answer is B) 4:5
First write the ratio out. To find the simplified expression, divide by the greatest common factor (GCF). In this case, the GCF of 28 and 35 is 7.
28:35
--- ----
7 7
=4:5
4:5 is the simplest form because you cannot simplify it further.
Answer:
300cm
Step-by-step explanation:
scale 1:200 means 1cm on drawing represent 200cm on ground so 15cm will be 15×200 which is 3000cm