Answer:
Step-by-step explanation:
prob(grow) = .65
prob(not grow) = .35
prob(1 of 11 will not grow)
= C(11,1)(.35)(.65)^10
= .05183
Answer:
The slope of the line is 1/2.
Step-by-step explanation:
2
x
−
4
y
=
10
(Subtract 2
x
from both sides.)
−
4
y
=
−
2
x
+
10
(Divide both sides by -4.)
y
=
−
2
x
−
4
+
10
−
4 (Simplify.)
y
=
1/2
x
−
5
/2
y=1/2
9514 1404 393
Answer:
a, c, b
Step-by-step explanation:
Collect terms, subtract the constant, divide by the y-coefficient.
(a) 4y + (y - 1) = 29 ⇒ y = 6
(c) (2y + 3) - 4 = 9 ⇒ y = 5
(b) 4y - y + 1 = 13 ⇒ y = 4 . . . . . this equation is not what you have written
__
<em>Additional comment</em>
The second equation suffers from a typo, so your answer may vary.
Answer:
A: Yes, As more gallons are used the longer the shower is
B: 5 minutes, 20 minutes
C: (30,10), someone who uses 30 gallons of water will be in the shower for 10 minutes
D: I'm going to assume that your teacher wants you to find the slope in which I will use the slope formula and the points (0,0) and (30,10)
(10-0)/(30-0)=1/3=.33333 which means that for every gallon of water used you will be in the shower for .33333 minutes longer
Step-by-step explanation:
A: Yes, As more gallons are used the longer the shower is
B: 5 minutes, 20 minutes
C: (30,10), someone who uses 30 gallons of water will be in the shower for 10 minutes
D: I'm going to assume that your teacher wants you to find the slope in which I will use the slope formula and the points (0,0) and (30,10)
(10-0)/(30-0)=1/3=.33333 which means that for every gallon of water used you will be in the shower for .33333 minutes longer
Answer:
a.is approximately normal because of the central limit theorem.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Sample limit of 32 > 30, so the distribution is approximately normal because of the central limit theorem, and the correct answer is given by option a.