First, the angles of triangle MNP add up to 180º. Since angle M is 142º and angle P is 24º, angle N must be (180-24-142)º or 14º.
Now angle N is congruent to angle U.
2x - 50 = 14
2x = 64
x = 32
Segment NP is congruent to segment US, so 13 = 2x - y AND x=32.
13 = 62 - y
y = 49
Answer:
he eats 8 carrots in one day??
Step-by-step explanation:
Answer: the probability that exactly two of the next five people who apply to that university get accepted is 0.23
Step-by-step explanation:
We would number of people that applies for admission at the university and gets accepted. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - p) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 0.6
q = 1 - p = 1 - 0.6
q = 0.4
n = 5
the probability that exactly two of the next five people who apply to that university get accepted is
P(x = 2) = 5C2 × 0.6^2 × 0.4^(5 - 2)
P(x = 2) = 10 × 0.36 × 0.064
P(x = 2) = 0.23
Answer:
<h2><em><u>
2/9 is the answer.</u></em></h2>
Step-by-step explanation:
<em><u>1. First, make an equation.</u></em>
<em><u>Given:</u></em>
8/9 = length of wire
2/3 = length of a part of the wire
E = 8/9-2/3
<em><u>Unknown:</u></em>
Second part of wire
<em><u>2. Make the numbers have equal denominators</u></em>
2/3 * 3/3
= 6/9
<em><u>3. Solve</u></em>
8/9 - 6/9
= 2/9
Hope this helped,
Kavitha
