Answer:
B. 0.0028
Step-by-step explanation:
This is a binomial distribution. We could use a calculator to find the probability, or, since the sample size is large enough and both np and nq are larger than 10, we can approximate this as a normal distribution.
To do so, we first find the mean and standard deviation.
μ = np = (0.02) (1500) = 30
σ = √(npq) = √(0.02 × 0.98 × 1500) = 5.42
Now we find the z-score:
z = (x − μ) / σ
z = (45 − 30) / 5.42
z = 2.77
Finally, we use a z-score table to find the probability.
P(z > 2.77) = 1 − P(z < 2.77)
P(z > 2.77) = 1 − 0.9972
P(z > 2.77) = 0.0028
The answer is 36% of students voted for maria
Answer:
CPU
Explanation:
The CPU is like the brain of the computer, while the motherboard is like the spine. The CPU carries out the instructions. The RAM is like the short-term memory, so you can carry out tasks quicker. The keyboard - well, the keyboard simply types out the command but does not carry it out.
Answer:
Step-by-step explanation:
For the line ax+by=c, solving for y gives ...
y = (-a/b)x +c/b
The slope in this slope-intercept form is the coefficient of x, -a/b. The y-intercept is c/b.
a) For the first line, the slope is ...
-a/b = -(-2)/3 = 2/3
__
b) For the second line, the slope is ...
-a/b = -4/1 = -4
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c) The y-intercept of the first line is ...
c/b = 6/3 = 2
__
d) The y-intercept of the second line is ...
c/b = 12/1 = 12
__
e) The slopes of the lines are different, so there is one (1) solution.
Answer:
H0 : μ = 18000
H1 : μ < 18000 - - - > Claim
Test value = - 3.578
Critical value = ±2.58
There is significant evidence to accept the claim that mean debt at graduation is less than $18000
Step-by-step explanation:
H0 : μ = 18000
H1 : μ < 18000
From the data:
Sample size, n = 30
Sample mean, x = 16298.37
The test statistic :
(16298.37 - 18000) ÷ (2605/sqrt(30))
−1701.63 / 475.60575
= - 3.578
The critical value :
Using the standard normal table;
Critical value at α = 0.01
Critical value = ±2.58
Decison region :
|test statistic | > |Critical value | ; reject H0
|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000