Area of original rectangle = 21 • 15 = 315 yd^2
Area of new rectangle is 3 times the original size: 3^2 • 315
2835 yd^2.
Other way:
3(21) • 3(15)
63 • 45
2835 yd^2
//Hope it helps.
Answer:
Of the 500 parents surveyed 275 would be expected to spank their children.
Step-by-step explanation:
Let the random variable <em>X </em>represent the number of parents who spank their children.
It is provided that, from previous studies, <em>p</em> = 55% of parents spank their children.
A random sample of <em>n</em> = 500 adults were selected.
The event whether a parent spank their children is independent of other parents.
The random variable <em>X </em>thus follows a Binomial distribution with parameters <em>n</em> = 500 and <em>p</em> = 0.55.
The expected value of a Binomial random variable is:
Thus, of the 500 parents surveyed 275 would be expected to spank their children.
Answer:
2
Step-by-step explanation:
Since LCM of x and y is 161, this means x and y are factors of 161. The factors of 161 are:
1 , 7, 23, 161
Since x and y are prime numbers and it is given that x > y, the only possible solution for x and y is:
x = 23
y = 7
We have to find what is the remainder when x=23 is divided by y=7. We know that 7 times 3 = 21. This means, when 23 is divided by 7, the quotient is 3 and the remainder is 2.
Therefore, the answer to this question is 2.
Answer:
time = 3.15 hours
Step-by-step explanation:
Rate * time = distance
The distance = 63 km
And the rate is 20 km/hour
20 * time = 63
Divide each side by 20
20 * time/20 = 63/20
time = 3.15 hours
Answer:
x = 45°, y= 5°
Step-by-step explanation:
x = 9y
90+2x = 180
2x = 90
x = 45
so x = 45
9y = 45
y = 5
