Answer:
she needs 600 g chocolate. He needs 150 g flour. his recipe is for 6 people
Step 1: Simplify both sides of the equation.<span><span><span>t+4</span>−<span>2<span>(<span><span>2t</span>+3</span>)</span></span></span>=<span>−4</span></span>
<span>Simplify: (Show steps)</span>
<span><span><span>−<span>3t</span></span>−2</span>=<span>−4</span></span>Step 2: Add 2 to both sides.<span><span><span><span>−<span>3t</span></span>−2</span>+2</span>=<span><span>−4</span>+2</span></span><span><span>−<span>3t</span></span>=<span>−2</span></span>Step 3: Divide both sides by -3.<span><span><span>−<span>3t</span></span><span>−3</span></span>=<span><span>−2</span><span>−3</span></span></span><span>t=<span>23</span></span>Answer:<span>t=<span>2<span>3</span></span></span>
Answer:
<u>8,764.53 feet</u>
Step-by-step explanation:
See the attached figure which represents the question.
Let the distance between campsite and the base of the mountain = d
The total height = 6842 + 5.6 = 6,847.6 feet.
As shown at the graph, the angle x and the depression angle are alternate angles, so they are congruent.
∴∠x = 38°
tan x = opposite/adjacent = (total height)/d = 6847.6/d
So, d = 6847.6/tan x
= 6847.6/tan 38° = 8,764.53 feet (to the nearest hundredth)
so, the distance between campsite and the base of the mountain = 8,764.53 feet
Answer:
0.7738 = 77.38% probability that an incorrect message is received.
Step-by-step explanation:
For each bit, there are only two possible outcomes. Either it is corrupted, or it is not. The probability of a bit being corrupted is independent of any other bit. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
5% probability a bit is sent incorrectly:
This means that 
Message of length 5
This means that 
What is the probability that an incorrect message is received?
This is the probability of at least one incorrect bit, which is:

In which


0.7738 = 77.38% probability that an incorrect message is received.
Answer: - 2.5
Step-by-step explanation:
Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.
From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.
(-3 + - 2) / 2 = - 5/2 = - 2.5