Given:
Consider angle S is congruent to angle U.
The angle S is (5x-11) degrees and angle U is (4x+9) degrees,
To find:
The value of x.
Solution:
Since it is given that angle S is congruent to angle U, therefore the measure of theses two angles are equal because measure of congruent angles are equal.
Put the given values.
Subtract 4x from both sides.
Add 11 on both sides.
Therefore, the value of x is 20.
Answer:
<u>420 names were read</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Rate of names read per minute at the graduation ceremony = 5
2. If the names had been read at the rate of seven names per minute, the ceremony would have taken 24 minutes less. How many names were read?
x = Number of minutes it takes to read the names at the rate of seven names per minute
x + 24 = Number of minutes it takes to read the names at the rate of five names per minute
Solving for x:
5 * (x + 24) = 7x
5x + 120 = 7x
5x - 7x = -120 (Subtracting 120 and 7x at both sides)
-2x = -120
x = -120/-2
x = 60 ⇒ 7x = 420
<u>420 names were read</u>
Answer:iTS TRICKY BUT ITS D
Step-by-step explanation:
Answer:
The mean of X is 2
Step-by-step explanation:
Given the data in the question;
set of 10 cards consist of 5 red card and 5 blacks
cards are chosen, replaced and shuffled four times;
number of independent trials n = 4
now, since its is replaced, the probability of getting a red card in each trial will be;
p = 5/10 = 0.5
let X rep the number of red cards observed in the four trials.
the random variable follows binomial distribution where
n = 4 and p = 0.5
so
E(X) = ∑xP( X = x )
E(X) = np
we substitute
E(X) = 4 × 0.5
E(X) = 2
Therefore, The mean of X is 2
