Answer:
-7/6
Step-by-step explanation:
To evaluate this, start by turning each into improper fractions.
3 1/2 - 4 2/3
7/2 - 14/3
Now give both common denominators and complete the operation.
7/2 - 14/3
21/6 - 28/6
-7/6
Answer:
x = 2
Step-by-step explanation:
Simplify both sides of the equation.
−20 = − 4x − 6x
−20 = −4x − 6x
−20 = (−4x − 6x)(Combine Like Terms)
−20 = −10x
Flip the equation.
−10x = −20
Divide both sides by -10.
-10x/-10 = -20/-10
x = 2
The value that is 2 standard deviations from the mean is; 130
<h3>What is Empirical Rule?</h3>
For this question, we will use Z-score and as such whether the value is below or above mean (shown by positive or negative sign) and by how much (times the standard deviation).
Thus;
Calculated value = μ + zσ
where;
μ is mean
σ is standard deviation
Hence, the value that would be +2 standard deviations from the mean is;
Calculated value = 100 + 2(15)
Calculated value = 130
Read more about Empirical Rule at; brainly.com/question/10093236
Answer:
12
Step-by-step explanation:
so $8.06 / .65 = 12.4 but you cannot buy .4 of a bagel so the answer would just be 12
Answer:
Assuming ages are normally distributed, the 98% confidence interval for the population average age is [26.3, 35.7].
Step-by-step explanation:
We have to construct a 98% confidence interval for the mean.
The information we have is:
- Sample mean: 31
- Variance: 49
- Sample size: 15
- The age is normally distributed.
We know that the degrees of freedom are
Then, the t-value for a 98% CI is t=2.625 (according to the t-table).
The standard deviation can be estimated from the variance as:
The margin of error is:
Then, the CI can be constructed as:
