Answer:
10.00022
10.0011
Step-by-step explanation:
2.14 and 4.673
2.14 x 4.673 = 10.00022
2.55 and 3.922
2.55 x 3.922 = 10.0011
Yes 0.634 is a rational
number.
Rational numbers are those numbers that can be still expressed in
standard form or in fraction form and vice-versa. Unlike irrational numbers
that are opposed to the definition of rational numbers. These values include
pi, square root of two and etc. These values are impossible to fractionize.
To better illustrate this
circumstance.
We can have calculate a number that will have a quotient of 0.634
or a fraction that is equal to the given value.
<span><span>
1. </span><span> 634/1000 =
0.634</span></span>
<span><span>2. </span><span> 317/500 = 0.634
</span></span>
Answer:
population standard deviation does not differ from 0.25
Step-by-step explanation:
The hypothesis :
σ² = 0.25²
σ² ≠ 0.25²
The Chisquare statistic, χ²: (n-1)*s²/σ²
Where s² = sample variance ; sample size, n = 30
Using calculator, the sample variance, s² = 0.1646
χ² = (n-1)*s²/σ²
χ²: (30 - 1) * 0.1646 / 0.25²
χ² = (29 * 0.1646) / 0.0625
χ² = 0.3292 / 0.0625
χ² = 5.2672
α = 0.05
Using the Pvalue from Chisquare calculator ; df = 29
Pvalue = 1
Since, Pvalue > α ; We fail to reject the null and conclude that population standard deviation does not differ from 0.25
Answer:
<B = 15
Step-by-step explanation:
A triangle adds up to 180 degrees.
Since these triangles are similar, the sides are located in the same spot. (A is in same spot as D, etc.)
A=75
F=90
75 + 90 + x = 180
165 + x = 180
x = 15
Answer:
Step-by-step explanation:
Given
-- total
--- defective
--- selected
Required
The probability of rejecting the batch
This means that at least one of the selected piece is defected.
So, we first calculate the probability that all the selected piece are accepted.
So, we have:
The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs
So, we have:
Using the complement rule, the probability that the batch will be rejected is:
