Use order of operations to choose all of the expressions that are correctly solved.
2 answers:
Answer:
1. correct
2. not correct
3.correct
4.correct
5. not correct
6. correct
Step-by-step explanation:
P(parenthesis) E(exponents) M(multiplication) D(division) A(addition) S(subtraction)
You first solve what is in the parenthesis (if there is any) than make your way down this list IN ORDER until you hit subtraction.
1.
2.
(4 × 5) − 3 = 8
Parenthesis first
(20)-3=8
subtract
17=8
3.
(4 × 5) − 3 = 17
Do what is in parenthesis first
(20)-3=17
subtract
17=17
4.
14 − 7 × 2 = 0
Multiply 7*2 first
14-14=0
subtract
0=0
5.
14 − 7 × 2 = 14
Multiply 7*2 first
14-14=14
subtract
0=14
6.
12 + (7 + 9) = 28
Parenthesis first
12+(16)=28
Add
28=28
You might be interested in
Answer:
0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
The mean IQ score of its members is 118, with a standard deviation of 17.
This means that
Sample of 35:
This means that
What is the probability of having a sample mean of 116.8 or less for a random sample of this size?
This is the pvalue of Z when X = 116.8. So
By the Central Limit Theorem
has a pvalue of 0.3372
0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size