Answer:
The answer is D,
a(n) = 4/5 + 1/6(n- 1)
just took the test :)
Step-by-step explanation:
Answer: 67°.
Step-by-step explanation:
1) m∠PMR=m∠LMN=3x+19°;
2) m∠LMN+m∠LMP=180°, it can be written as 3x+19+9x-31=180;
3) if to solve the equation 3x+19+9x-31=180, then x=16;
4) m∠PMR=3x+19=48+19=67°.
Answer:
40.1% probability that he will miss at least one of them
Step-by-step explanation:
For each target, there are only two possible outcomes. Either he hits it, or he does not. The probability of hitting a target is independent of other targets. So we use the binomial probability distribution 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.
0.95 probaiblity of hitting a target
This means that 
10 targets
This means that 
What is the probability that he will miss at least one of them?
Either he hits all the targets, or he misses at least one of them. The sum of the probabilities of these events is decimal 1. So
We want P(X < 10). So
In which
40.1% probability that he will miss at least one of them
4.) The dotted line on the trapezoid is one of the lines. As you can see, to the left of the line is a right triangle. The other line should be drawn on the right side of the trapezoid to section off the other triangle. Now there is a rectangle in the middle with dimensions of 8 cm by 6 cm, and two identical triangles on either side. To find their base length, we can subtract 8 from 12 to get 4. These difference represents the sum of the two triangles' bases. Since the triangles are identical, we can divide 4 in half to get a base of 2 cm for each triangle. Therefore the triangles both have dimensions of 2 cm by 6 cm.
To find the area, we can add together the areas of the triangles and rectangle. We use length times width to find the area of a rectangle, and we use one-half base times height to find the area ofo a triangle.
Rectangle: 8*6 = 48 cm^2
Triangle: 0.5*2*6 = 6 cm^2
So the area of the trapezoid is 48 + 6 + 6 = 60 cm^2
✯<span>Let's solve this equation step-by-step!
</span>✯<span>is the question you've asked us today:
|x − 2| + 10 = 12
</span>✯<span>Add -10 to both sides:
</span><span><span><span>|x−2|</span>+10</span>+−10</span>=<span>12+<span>−10
</span></span>
✯<span>Solve Absolute Value:
</span><span>|x−2|</span>=<span>2
</span>
✯We know either:
<span>x−2=2 </span>or <span>x−2=<span>−<span>2
</span></span></span>
(Possibility 1) <span>x−2=2
</span>
(Add 2 to both sides) <span><span>x−2+2</span>=<span>2+2
</span></span>
x=<span>4
</span>
(Possibility 2) <span>x−2=<span>−2
</span></span>
(Add 2 to both sides) <span><span>x−2+2</span>=<span>−2+2</span></span>
x=<span>0
</span>
✯So since we have gotten x=4 and x=0 you answer shall be:
B. x=4 and x=0
✯I hope this helps!<span>✯</span>
